Priority is claimed on Japanese Patent Application No. 2022-046443, filed Mar. 23, 2022, the content of which is incorporated herein by reference.
The present disclosure relates to an optical property measurement apparatus and an optical property measurement method.
Patent Literature 1 (Japanese Unexamined Patent Publication No. 2020-169946) discloses a technology relating to a dispersion measurement apparatus. This dispersion measurement apparatus includes a pulse formation unit, a correlation optical system, a light detection unit, and a computation unit. The pulse formation unit forms a light pulse train including a plurality of second light pulses having a time difference therebetween and having center wavelengths different from each other from a first light pulse output from a measurement object. The correlation optical system receives the light pulse train output from the pulse formation unit and outputs correlation light including a cross-correlation or an auto-correlation of the light pulse train. The light detection unit detects a temporal waveform of the correlation light. The computation unit estimates a wavelength dispersion amount of the measurement object based on a feature value of the temporal waveform.
Non-Patent Literature 1 (Jahan M. Dawlaty et al., “Measurement of ultrafast carrier dynamics in epitaxial graphene”, Applied Physics Letters, 92, 042116, 2008) discloses time-resolved spectroscopic measurement. In the method described in this document, a time response of a sample is evaluated by changing a time difference between pump light for exciting the sample and probe light for detecting change in characteristics of the sample. Non-Patent Literature 2 (Masataka Kobayashi et al., “Fast-frame single-shot pump-probe spectroscopy with chirped-fiber Bragg gratings”, Optics Letters, Volume 44, Issue 1, pp. 163-166, 2019) discloses a time-resolved measurement method using a plurality of light pulses having center wavelengths different from each other. In the method described in this document, a plurality of light pulses having wavelengths different from each other are generated by performing wavelength conversion using an optical parametric amplifier (OPA).
When optical properties of a measurement object are measured by irradiating the measurement object with pulsed light, a different apparatus is used in accordance with the type of the optical property to be measured. For example, an apparatus irradiating a measurement object with pump light and probe light having wavelengths different from each other and evaluating change in characteristics inside the measurement object caused by irradiation of the pump light based on change over time in the probe light output from the measurement object (time response measurement apparatus) is known. In addition, an apparatus irradiating a measurement object with a light pulse train including a plurality of light pulses having a time difference therebetween and having center wavelengths different from each other and estimating a wavelength dispersion amount of the measurement object based on a feature value (for example, a pulse interval) of a temporal waveform of the light pulse train having passed through the measurement object is known (for example, refer to Patent Literature 1). Therefore, when it is desired to measure two or more types of optical properties, there is a need to prepare two or more apparatuses according to the respective types of the optical properties.
An object of an embodiment of the present invention is to provide an optical property measurement apparatus and an optical property measurement method capable of performing measurement of two or more types of optical properties, for example, time response measurement and wavelength dispersion measurement, using one apparatus.
An embodiment of the present invention is an optical property measurement apparatus. The optical property measurement apparatus is an apparatus for measuring optical properties of a measurement object. The optical property measurement apparatus includes a pulse formation unit, a waveform measurement unit, an optical system, and an analysis unit. The pulse formation unit generates pulsed light and is capable of changing a temporal waveform of the pulsed light in accordance with a type of optical property to be measured. The waveform measurement unit measures a temporal waveform of the pulsed light output from the measurement object after being incident on the measurement object. The optical system has an attenuation unit with an attenuation rate with respect to one wavelength component constituting the pulsed light larger than an attenuation rate with respect to another wavelength component constituting the pulsed light. The optical system is capable of switching between a first state and a second state. In the first state, the attenuation unit is arranged on an optical path of the pulsed light output from the measurement object. In the second state, the attenuation unit is not arranged on the optical path.
Another embodiment of the present invention is an optical property measurement method. The optical property measurement method is a method for measuring optical properties of a measurement object by irradiating the measurement object with pulsed light. The optical property measurement method includes selecting, irradiating, measuring, and obtaining. In the selecting, any state in an optical system capable of switching between a first state and a second state is selected. In the first state, an attenuation unit is arranged on the optical path of the pulsed light output from the measurement object. In the second state, the attenuation unit is not arranged on the optical path. An attenuation rate of the attenuation unit with respect to one wavelength component constituting the pulsed light is larger than an attenuation rate of the attenuation unit with respect to another wavelength component constituting the pulsed light. In the irradiating, the measurement object is irradiated with the pulsed light having a temporal waveform according to a type of optical property to be measured using a pulse formation unit capable of changing a temporal waveform of the pulsed light. In the measuring, a temporal waveform of the pulsed light having passed through the optical system is measured. In the obtaining, the optical property of the measurement object is obtained based on the temporal waveform.
The present invention will be more fully understood from the detailed description given herein below and the accompanying drawings, which are given by way of illustration only and are not to be considered as limiting the present invention.
Further scope of applicability of the present invention will become apparent from the detailed description given hereinafter. However, it should be understood that the detailed description and specific examples, while indicating preferred embodiments of the invention, are given by way of illustration only, since various changes and modifications within the spirit and scope of the invention will be apparent to those skilled in the art from this detailed description.
Specific examples of an optical property measurement apparatus and an optical property measurement method according to an embodiment of the present disclosure will be described in detail with reference to the drawings. The present invention is not limited to the embodiments to be described below. A technical scope of the present invention is determined on the basis of description of claims. In the description of the drawings, the same elements are denoted by the same reference numerals, and repeated description will be omitted. In the present disclosure, unless otherwise described, a temporal waveform denotes a temporal waveform relating to a light intensity.
The pulse formation unit 3 has a light input end 3a and a light output end 3b. The light input end 3a is optically coupled to the pulsed laser light source 2 spatially or via an optical waveguide such as an optical fiber. The light output end 3b is optically coupled to the measurement object B spatially or via an optical waveguide such as an optical fiber. Moreover, the measurement object B is optically coupled to the waveform measurement unit 5 spatially or via an optical waveguide such as an optical fiber. The optical system 4 is arranged on an optical path between the measurement object B and the waveform measurement unit 5. The analysis unit 6 is electrically connected to the waveform measurement unit 5.
The pulsed laser light source 2 outputs coherent initial pulsed light Pa. For example, the pulsed laser light source 2 is a femtosecond laser, and in one example, it is a solid laser light source such as an LD direct pumped type Yb:YAG pulse laser. For example, the temporal waveform of the initial pulsed light Pa has a shape of a Gaussian function. For example, the full width at half maximum (FWHM) of the initial pulsed light Pa is within a range of 10 fs to 10,000 fs and is 100 fs as an example. The initial pulsed light Pa is a light pulse having a certain bandwidth and includes a plurality of consecutive wavelength components. In one example, a bandwidth of the initial pulsed light Pa is 10 nm, and a center wavelength of the initial pulsed light Pa is 1,030 nm.
The pulse formation unit 3 generates pulsed light PL from the initial pulsed light Pa. The pulsed light PL has a temporal waveform according to the type of the optical property to be measured. The pulsed light PL may further have the number of pulses and a spectrum according to the type of the optical property to be measured. In the pulse formation unit 3, the temporal waveform of the pulsed light PL can be changed in accordance with the type of the optical property to be measured. The pulse formation unit 3 may further be able to change the number of pulses and the spectrum of the pulsed light PL in accordance with the type of the optical property to be measured. A spectrum of pulsed light includes a phase spectrum of pulsed light, an intensity spectrum of pulsed light, or both the phase spectrum and the intensity spectrum of pulsed light.
The SLM 14 applies a phase shift for each wavelength to the initial pulsed light Pa in order to convert the initial pulsed light Pa into the pulsed light PL. Specifically, in order to apply a phase shift to the initial pulsed light Pa and generate the pulsed light PL, the SLM 14 receives a control signal from a control unit 18. The SLM 14 presents a phase pattern by receiving a control signal output from the control unit 18. For example, the control unit 18 may be constituted of a computer. The SLM 14 performs at least any modulation of phase modulation and intensity modulation of the light Pb using the presented phase pattern. The SLM 14 may perform phase modulation and intensity modulation of the light Pb at the same time using the presented phase pattern. In this manner, the SLM 14 mutually shifts the phases of a plurality of wavelength components output from the diffraction grating 12. For example, the SLM 14 is a phase modulation type. In one Example, the SLM 14 is a liquid crystal on silicon (LCOS) type. Although the diagram illustrates a transmission-type SLM 14, the SLM 14 may be a reflection type.
The wavelength components of modulated light Pc modulated by the SLM 14 are focused by the lens 15 at one point on the diffraction grating 16. The lens 15 at this time functions as a focusing optical system for focusing the modulation light Pc. The lens 15 may be a convex lens constituted of a light transmitting member or a concave mirror having a concave-shaped light reflection surface. The diffraction grating 16 functions as a combining optical system, and combines the modulated wavelength components. That is, by the lens 15 and the diffraction grating 16, the plurality of wavelength components of the modulated light Pc are focused and combined to form the pulsed light PL.
In order to generate the pulsed light PL having at least one of the number of pulses, the spectrum, and the temporal waveform according to the type of the optical property to be measured, the control unit 18 stores a plurality of phase patterns in advance. The control unit 18 selectively outputs these phase patterns to the SLM 14.
The optical system 4 is arranged on an optical path of the pulsed light PL output from the measurement object B. The optical system 4 has an attenuation unit 41. An attenuation rate of the attenuation unit 41 with respect to one wavelength component constituting the pulsed light PL is larger than an attenuation rate of the attenuation unit 41 with respect to another wavelength component constituting the pulsed light PL. In an example, the attenuation unit 41 has a wavelength filter. The wavelength filter has a cutoff band including a wavelength of the one wavelength component constituting the pulsed light PL and has a transmission band including a wavelength of the another wavelength component constituting the pulsed light PL. The wavelength filter may be any filter of a band-pass filter, a high-pass filter, and a low-pass filter. In the present embodiment, the one wavelength component constituting the pulsed light PL is pump light incident on the measurement object B when the time response inside the measurement object B caused by light incidence is measured. The another wavelength component constituting the pulsed light PL is probe light incident on the measurement object B when the time response inside the measurement object B caused by light incidence is measured.
The optical system 4 is configured to be able to switch between a first state in which the attenuation unit 41 is arranged on the optical path of the pulsed light PL output from the measurement object B and a second state in which the attenuation unit 41 is not arranged on the optical path. The optical system 4 is set in the first state when the time response inside the measurement object B caused by light incidence is measured and is set in the second state when the wavelength dispersion amount of the measurement object B is measured.
In this example, the attenuation unit 41 is arranged on one optical path including the fixed mirrors 43a and 43b, but the attenuation unit 41 may be arranged on the optical path between the movable mirror 44a and the movable mirror 44b in the state illustrated in
The correlation optical system 50 is optically coupled to the optical system 4 and receives the pulsed light PL having passed through the optical system 4. The correlation optical system 50 converts the pulsed light PL into correlation light including a cross-correlation or an auto-correlation. The pulsed light PL converted into correlation light is output from the correlation optical system 50.
Here, an example of a configuration of the correlation optical system 50 will be described in detail.
In this example, the optical element 53 includes a nonlinear optical crystal. The lens 52a focuses each of the pulsed light PLu and the pulsed light PLv toward the optical element 53 and causes optical axes of the pulsed light PLu and the pulsed light PLv to intersect with each other at a predetermined angle in the optical element 53. As a result, in the optical element 53 that is a nonlinear optical crystal, second-harmonic wave is generated from the intersection of the pulsed light PLu and the pulsed light PLv as a starting point. The second-harmonic wave is correlation light and includes the auto-correlation of the pulsed light PL. The correlation light is collimated or focused by the lens 52b and then input to the photodetector 51.
In this example also, the optical element 53 includes a nonlinear optical crystal. The lens 52a focuses the pulsed light PL and the reference pulsed light Pr toward the optical element 53, and causes the optical axis of the pulsed light PL and the optical axis of the reference pulsed light Pr to intersect with each other at a predetermined angle in the optical element 53. As a result, in the optical element 53 that is a nonlinear optical crystal, second-harmonic wave is generated from the intersection of the pulsed light PL and the reference pulsed light Pr as a starting point. The second-harmonic wave is correlation light and includes the cross-correlation of the pulsed light PL. The correlation light is collimated or focused by the lens 52b and then input to the photodetector 51.
The polarization component of the first polarization direction in the initial pulsed light Pa is modulated by the SLM 14 and is output from the pulse formation unit 3 as the pulsed light PL. Meanwhile, the polarization component of the second polarization direction in the initial pulsed light Pa is not modulated by the SLM 14, and is output from the pulse formation unit 3 without change. The polarization component which has not been modulated is provided to the correlation optical system 50C coaxially with the pulsed light PL as the reference pulsed light Pr. The correlation optical system 50C generates correlation light including the cross-correlation of the pulsed light PL from the pulsed light PL and the reference pulsed light Pr. In this example of a configuration, the time difference (a difference in timing of arrival at the lens 52a) between the pulsed light PL and the reference pulsed light Pr can be made variable by providing a delay to the pulsed light PL by the SLM 14 and making the delay time variable (arrow E in the drawing), and the correlation light including the cross-correlation of the pulsed light PL can be generated in the correlation optical system 50C.
As illustrated in
The analysis unit 6 is electrically connected to the photodetector 51. The analysis unit 6 obtains optical property of the measurement object B based on the temporal waveform of the pulsed light PL converted into correlation light.
The auxiliary storage device 67 of the control unit 18 stores a plurality of pieces of data relating to a plurality of phase modulation patterns for generating the pulsed light PL. The processor 61 reads one of the pieces of data as necessary and controls the phase modulation patterns presented to the SLM 14 based on the data.
The auxiliary storage device 67 of the analysis unit 6 stores a program for obtaining optical property of the measurement object B based on the temporal waveform of the pulsed light PL converted into correlation light. In other words, the program for obtaining optical property of the measurement object B causes the processor 61 of the computer to operate as the analysis unit 6. The processor 61 obtains optical property of the measurement object B by executing this program. A storage device storing a program for obtaining optical property of the measurement object B may be a non-transitory recording medium. Examples of the recording medium include a recording medium such as a flexible disk, a CD, or a DVD; a recording medium such as a ROM; a semiconductor memory; a cloud server, and the like. Information relating to obtained optical property of the measurement object B is output to the output device 65 or output to an external device via the communication module 66.
The optical property measurement method of the present embodiment will be described.
First, in the optical system 4, any state of the first state (a state in which the attenuation unit 41 is arranged on the optical path of the pulsed light PL output from the measurement object B) and the second state (a state in which the attenuation unit 41 is not arranged on the optical path of the pulsed light PL output from the measurement object B) is selected (Step ST1). Next, the measurement object B is irradiated using the pulse formation unit 3 with the pulsed light PL having at least one of the number of pulses, the spectrum, and the temporal waveform, according to the type of the optical property to be measured (Step ST2). In Step ST2, the pulsed light PL is generated using the SLM 14 performing at least any modulation of phase modulation and intensity modulation of the input initial pulsed light Pa. In Step ST2, the pulsed light PL may be generated using the SLM 14 performing phase modulation and intensity modulation of the input initial pulsed light Pa at the same time. The types of the optical properties to be measured include the time response inside the measurement object B caused by light incidence and the wavelength dispersion amount of the measurement object B. In Step ST1, the first state is selected when the time response is measured, and the second state is selected when the wavelength dispersion amount is measured. Subsequently, the temporal waveform of the pulsed light PL having passed through the optical system 4 after being output from the measurement object B is measured (Step ST3). Steps ST2 and ST3 may be repeated as many times as necessary while changing at least one of the number of pulses, the spectrum, and the temporal waveform of the pulsed light PL in accordance with the type of the optical property to be measured (Steps ST4 and ST5). Thereafter, optical property of the measurement object B is obtained based on the measured temporal waveform (Step ST6).
Here, phase modulation for generating the pulsed light PL in the SLM 14 of the pulse formation unit 3 illustrated in
The modulation pattern calculation apparatus 20 of the present embodiment causes the control unit 18 to store a phase pattern including a first phase pattern and a second phase pattern. The first phase pattern is a phase pattern for phase modulation applying a phase spectrum for obtaining a desired waveform to the output light. The second phase pattern is a phase pattern for intensity modulation applying an intensity spectrum for obtaining a desired waveform to the output light. For this reason, as illustrated in
The processor of the computer can implement the above respective functions using a modulation pattern calculation program. Hence, the modulation pattern calculation program causes the processor of the computer to operate as the arbitrary waveform input unit 21, the phase spectrum design unit 22, the intensity spectrum design unit 23, and the modulation pattern generation unit 24 in the modulation pattern calculation apparatus 20. The modulation pattern calculation program is stored inside the computer or in an external storage device (storage medium). The storage device may be a non-transitory recording medium. Examples of the recording medium include a recording medium such as a flexible disk, a CD, or a DVD; a recording medium such as a ROM; a semiconductor memory; a cloud server, and the like.
The arbitrary waveform input unit 21 receives an input of a desired temporal intensity waveform from an operator. An operator inputs information relating to desired number of pulses, spectrum, and temporal waveform (which will hereinafter be referred to as desired number of pulses and the like) of the pulsed light PL to the arbitrary waveform input unit 21. Desired number of pulses and the like are determined by an operator in accordance with the type of the optical property to be measured. Information relating to desired number of pulses and the like is applied from the arbitrary waveform input unit 21 to the phase spectrum design unit 22 and the intensity spectrum design unit 23. The phase spectrum design unit 22 calculates the phase spectrum of the output light of the pulse formation unit 3 suitable for realizing desired number of pulses and the like which have been applied. The intensity spectrum design unit 23 calculates the intensity spectrum of the output light of the pulse formation unit 3 suitable for realizing desired number of pulses and the like which have been applied. The modulation pattern generation unit 24 calculates a phase modulation pattern (for example, a computer-generated hologram) for applying the phase spectrum obtained by the phase spectrum design unit 22 and the intensity spectrum obtained by the intensity spectrum design unit 23 to the output light of the pulse formation unit 3.
Here, the desired temporal intensity waveform is expressed as a function in the time domain, and the phase spectrum is expressed as a function in the frequency domain. Therefore, the phase spectrum corresponding to the desired temporal intensity waveform is obtained by iterative Fourier transform based on the desired temporal intensity waveform, for example.
[Formula 1]
√{square root over (A0(ω))}exp{iΨnn(ω)} (a)
A subscript n represents after an n-th Fourier transform process. Before an initial (first) Fourier transform process, the initial phase spectrum function Ψ0(ω) described above is used as the phase spectrum function Ψn(ω). The factor i is an imaginary number.
Next, a Fourier transform from the frequency domain to the time domain is performed on the function (a) (arrow A1 in the drawing). As a result, a waveform function (b) in the time domain including a temporal intensity waveform function bn(t) and a temporal phase waveform function Θn(t) is obtained (process number (3) in the drawing).
[Formula 2]
√{square root over (bn(t))}exp{iΘn(t)} (b)
Next, the temporal intensity waveform function 1340 included in the function (b) is replaced by a temporal intensity waveform function Target0(t) based on the desired waveform (process numbers (4) and (5) in the drawing).
[Formula 3]
b
n(t):=Target0(t) (c)
[Formula 4]
Target0(t)exp{iΘn(t)} (d)
Next, an inverse Fourier transform from the time domain to the frequency domain is performed on the function (d) (arrow A2 in the drawing). As a result, a waveform function (e) in the frequency domain including an intensity spectrum function Bn(ω) and the phase spectrum function Ψn(ω) is obtained (process number (6) in the drawing).
[Formula 5]
√{square root over (Bn(ω))}exp{iΨn(ω)} (e)
Next, in order to constrain the intensity spectrum function Bn(ω) included in the function (e), the intensity spectrum function Bn(ω) is replaced by the initial intensity spectrum function A0(ω) (process number (7) in the drawing).
[Formula 6]
B
n(ω):=A0(ω) (f)
Subsequently, the process (2) to (7) are repeatedly performed a plurality of times, so that the shape of the phase spectrum represented by the phase spectrum function Ψn(ω) in the waveform function can be brought close to the shape of the phase spectrum corresponding to a desired temporal intensity waveform. An ultimately obtained phase spectrum function ΨIFTA(ω) becomes a basis of a modulation pattern for obtaining the desired temporal intensity waveform.
However, in the iterative Fourier method described above, although it is possible to control the temporal intensity waveform, there is a problem in that it is not possible to control a frequency component (spectrum) constituting the temporal intensity waveform. Therefore, the modulation pattern calculation apparatus 20 according to the present embodiment calculates the phase spectrum function and the intensity spectrum function on which the modulation pattern is based, using a calculation method described below.
[Formula 7]
√{square root over (A0(ω))}exp{iΦ0(ω)} (g)
Next, the Fourier transform unit 25 of the phase spectrum design unit 22 performs Fourier transform from the frequency domain to the time domain on the function (g) (arrow A3 in the drawing). As a result, a second waveform function (h) in the time domain including a temporal intensity waveform function a0(t) and a temporal phase waveform function φ0(t) is obtained (process number (13) in the drawing).
[Formula 8]
√{square root over (a0(t))}exp{iϕ0} (h)
Next, as shown in the following Formula (i), the function replacement unit 26 of the phase spectrum design unit 22 replaces a temporal intensity waveform function b0(t) by the temporal intensity waveform function Target0(t) based on the desired waveform input in the arbitrary waveform input unit 21 (process number (14) in the drawing).
[Formula 9]
b
0(t)=Target0(t) (i)
Next, as shown in the following Formula (j), the function replacement unit 26 of the phase spectrum design unit 22 replaces the temporal intensity waveform function a0(t) by the temporal intensity waveform function b0(t). That is, the temporal intensity waveform function a0(t) included in the function (h) is replaced by the temporal intensity waveform function Target0(t) based on the desired waveform (process number (15) in the drawing).
[Formula 10]
√{square root over (b0(t))}exp{iϕ0(t)} (j)
Next, the waveform function correction unit 27 of the phase spectrum design unit 22 modifies the second waveform function so as to bring a spectrogram of the second waveform function (j) after the replacement close to a target spectrogram generated in advance in accordance with a desired wavelength band. First, the second waveform function (j) is transformed into a spectrogram SG0,k(ω,t) by performing a time-frequency transform on the second waveform function (j) after the replacement (process number (15a) in the drawing). The subscript k represents k-th transform processing.
Here, time-frequency transform refers to performing frequency filter processing or numerical calculation processing (processing of deriving a spectrum for each time by multiplying a window function while shifting the window function) on a composite signal such as a temporal waveform, and transforming it into into three-dimensional information including a time, a frequency, and an intensity (spectrum intensity) of a signal component. In the present embodiment, the transform result (time, frequency, and spectrum intensity) is defined as a “spectrogram”.
Examples of time-frequency transform include a short-time Fourier transform (STFT), a wavelet transform (Haar wavelet transform, Gabor wavelet transform, Mexican-hat wavelet transform, or Morlet wavelet transform), and the like.
A target spectrogram TargetSG0(ω,t) generated in advance in accordance with the desired wavelength band is read from the target generation unit 29. The target spectrogram TargetSG0(ω,t) is roughly equivalent to a target temporal waveform (a temporal intensity waveform and its constituent frequency component) and is generated by the target spectrogram function of the process number (15b).
Next, the waveform function correction unit 27 of the phase spectrum design unit 22 performs pattern matching between the spectrogram SG0,k(ω,t) and the target spectrogram TargetSG0(ω,t) to check a degree of similarity (how well they are aligned with each other). In the present embodiment, an evaluation value is calculated as an index presenting the degree of similarity. Further, in a subsequent process number (15c), it is determined whether or not the obtained evaluation value satisfies a predetermined end condition. When the condition is satisfied, the process proceeds to a process number (16), and when the condition is not satisfied, the process proceeds to a process number (15d). In the process number (15d), the temporal phase waveform function φ0(t) included in the second waveform function is changed to an arbitrary temporal phase waveform function φ0,k(t). The second waveform function after the temporal phase waveform function is changed is transformed into a spectrogram again by the time-frequency transform such as STFT. Subsequently, the process numbers (15a) to (15d) described above are repeatedly performed. In this way, the second waveform function is modified so as to bring the spectrogram SG0,k(ω,t) gradually close to the target spectrogram TargetSG0(ω,t).
Thereafter, the inverse Fourier transform unit 28 of the phase spectrum design unit 22 performs inverse Fourier transform on the modified second waveform function (arrow A4 in the drawing) to generate a third waveform function (k) in the frequency domain (process number (16)).
[Formula 11]
√{square root over (B0,k(ω))}exp{iΦ0,k(ω)} (k)
A phase spectrum function Φ0,k(ω) included in the third waveform function (k) becomes an ultimately obtained desired phase spectrum function ΦTWC-TFD(ω). This phase spectrum function ΦTWC-TFD(ω) is provided to the modulation pattern generation unit 24.
Thereafter, the inverse Fourier transform unit 28 of the intensity spectrum design unit 23 performs inverse Fourier transform on the modified second waveform function (arrow A4 in the drawing) to generate a third waveform function (in) in the frequency domain (process number (16)).
[Formula 12]
√{square root over (B0,k(ω))}exp{iΦ0,k(ω)} (m)
Next, in the process number (17), a filter processing unit of the intensity spectrum design unit 23 performs filter processing based on the intensity spectrum of input light on the intensity spectrum function B0,k(ω) included in the third waveform function (m). Specifically, a portion exceeding a cutoff intensity for each wavelength, which is determined on the basis of the intensity spectrum of the input light, is cut from the intensity spectrum obtained by multiplying the intensity spectrum function B0,k(ω) by a coefficient α. This is performed to prevent an intensity spectrum function αB0,k(ω) from exceeding the spectrum intensity of the input light in all wavelength regions. In an example, the cutoff intensity for each wavelength is set to be matched with the intensity spectrum of the input light (the initial intensity spectrum function A0(ω) in the present embodiment). In that case, as shown in the following Formula (n), at a frequency where the intensity spectrum function αB0,k(ω) is larger than the intensity spectrum function A0(ω), a value of the intensity spectrum function A0(ω) is taken as the value of an intensity spectrum function ATWC-TFD(ω). At a frequency where the intensity spectrum function αB0,k(ω) is equal to or smaller than the intensity spectrum function A0(ω), a value of the intensity spectrum function αB0,k(ω) is taken as a value of the intensity spectrum function ATWC-TFD(ω) (process number (17) in the drawing).
This intensity spectrum function ATWC-TFD(ω) is provided to the modulation pattern generation unit 24 as an ultimately obtained desired spectrum intensity.
The modulation pattern generation unit 24 calculates a phase modulation pattern (for example, a computer-generated hologram) for applying a spectrum phase indicated by the phase spectrum function ΦTWC-TFD(ω) calculated in the phase spectrum design unit 22, and the spectrum intensity indicated by the intensity spectrum function ATWC-TFD(φ) calculated in the intensity spectrum design unit 23 to the output light.
Next, the target generation unit 29 calculates a phase spectrum function ΦIFTA(ω) for realizing the temporal intensity waveform function Target0(t) by using, for example, the iterative Fourier transform method illustrated in
Next, the target generation unit 29 calculates an intensity spectrum function AIFTA(ω) for realizing the temporal intensity waveform function Target0(t) by the iterative Fourier transform method using the above obtained phase spectrum function ΦIFTA(ω) (process number (23)).
With reference to
[Formula 14]
√{square root over (Ak(ω))}exp{iΨ0(ω)} (o)
A subscript k represents after a k-th Fourier transform process. Before an initial (first) Fourier transform process, the initial intensity spectrum function Ak=0(ω) described above is used as the intensity spectrum function Ak(ω). The factor i is an imaginary number.
Next, a Fourier transform from the frequency domain to the time domain is performed on the function (o) (arrow A5 in the drawing). As a result, a waveform function (p) of the frequency domain including a temporal intensity waveform function bk(t) is obtained (process number (33) in the drawing).
[Formula 15]
√{square root over (bk(t))}exp{iΘk)} (p)
Next, the temporal intensity waveform function bk(t) included in the function (p) is replaced by the temporal intensity waveform function Target0(t) based on the desired waveform (process numbers (34) and (35) in the drawing).
[Formula 16]
b
k(t):=Target0(t) (q)
[Formula 17]
√{square root over (Target0(t))}exp{iΘk(t)} (r)
Next, an inverse Fourier transform from the time domain to the frequency domain is performed on the function (r) (arrow A6 in the drawing). As a result, a waveform function (s) in the frequency domain including an intensity spectrum function Ck(ω) and a phase spectrum function Ψk(ω) is obtained (process number (36) in the drawing).
[Formula 18]
√{square root over (Ck(ω))}exp{iΨk(ω)} (s)
Next, in order to constrain the phase spectrum function Ψk(ω) included in the foregoing function (s), it is replaced by the initial phase spectrum function Ψ0(ω) (process number (37a) in the drawing).
[Formula 19]
Ψk(ω):=Ψk(ω) (t)
Furthermore, filter processing based on the intensity spectrum of input light is performed on the intensity spectrum function Ck(ω) in the frequency domain after the inverse Fourier transform. Specifically, in the intensity spectrums represented by the intensity spectrum function Ck(ω), a portion exceeding a cutoff intensity for each wavelength set based on the intensity spectrum of the input light is cut off. In an example, the cutoff intensity for each wavelength is set to be matched with the intensity spectrum of input light (for example, the initial intensity spectrum function Ak=0(ω)). In that case, as shown in the following Formula (u), at a frequency where the intensity spectrum function Ck(ω) is larger than the intensity spectrum function Ak=0(ω), a value of the intensity spectrum function Ak=0(ω) is taken as a value of the intensity spectrum function Ak(ω). At a frequency where the intensity spectrum function Ck(ω) is equal to or smaller than the intensity spectrum function Ak=0(ω), a value of the intensity spectrum function Ck(ω) is taken as the value of the intensity spectrum function Ak(ω) (process number (37b) in the drawing).
The intensity spectrum function Ck(ω) included in the function (s) is replaced by the intensity spectrum function Ak(ω) after filter processing by the above Formula (u).
Subsequently, the above process (32) to (37b) are repeatedly performed, so that the shape of the intensity spectrum represented by the intensity spectrum function Ak(ω) in the waveform function can be brought close to the shape of the intensity spectrum corresponding to the desired temporal intensity waveform. Finally, an intensity spectrum function AIFTA(ω) is obtained.
[Formula 21]
√{square root over (AIFT(ω))}exp{iΨIFTA(ω)} (v)
The Fourier transform unit 29a of the target generation unit 29 performs the Fourier transform on the above waveform function (v). As a result, a fourth waveform function (w) in the time domain is obtained (process number (25)).
[Formula 22]
√{square root over (aIFTA(t))}exp{iϕIFTA(t)} (w)
The spectrogram correction unit 29b of the target generation unit 29 transforms the fourth waveform function (w) into a spectrogram SGIFTA(ω,t) by the time-frequency transform (process number (26)). Then, in a process number (27), the target spectrogram TargetSG0(ω,t) is generated by modifying the spectrogram SGIFTA(ω,t) based on the temporal function p0(t) including the desired frequency (wavelength) band information. For example, a characteristic pattern appearing in the spectrogram SGIFTA(ω,t) constituted of two-dimensional data is partially cut out, and the frequency component of the corresponding part is operated based on the temporal function p0(t). The specific example thereof will be described in detail.
For example, the case in which triple pulses having time intervals of 2 picoseconds are set as the desired temporal intensity waveform function Target0(t) is considered. At this time, the spectrogram SGIFTA(ω,t) has a result as shown in
For instance, when it is desired to control only the temporal intensity waveform of the output light (it is simply desired to obtain triple pulses), it is not necessary to operate these domains D1, D2, and D3. However, when it is desired to control the frequency (wavelength) band of each pulse, it is necessary to operate these domains D1, D2, and D3. That is, as shown in
For example, when the temporal function p0(t) is described so that the peak wavelength of the domain D2 is fixed at 800 nm and the peak wavelengths of the domains D1 and D3 are moved in parallel by −2 nm and +2 nm, respectively, the spectrogram SGIFTA(ω,t) changes to the target spectrogram TargetSG0(ω,t) shown in
A time response measurement of the measurement object B using the optical property measurement apparatus 1A of the present embodiment will be described.
A spectrum of the third pulsed light PL3 includes both a wavelength of the pump light and a wavelength of the probe light. The wavelength component of the pump light included in the third pulsed light PL3 forms the component pulse P3. In an example, a peak intensity T3, a pulse width W3, and a wavelength component of the component pulse P3 are respectively the same as the peak intensity T1, the pulse width W1, and the wavelength component of the first pulsed light PL1. The wavelength component of the probe light included in the third pulsed light PL3 forms the component pulse P4. In an example, a peak intensity T4, a pulse width W4, and a wavelength component of the component pulse P4 are respectively the same as the peak intensity T2, the pulse width W2, and the wavelength component of the second pulsed light PL2. The pulse width W3 of a component of the wavelength of the pump light, that is the component pulse P3, included in the third pulsed light PL3 is smaller than the pulse width W4 of a component of the wavelength of the probe light, that is the component pulse P4, included in the third pulsed light PL3. The third pulsed light PL3 is obtained by superimposing the component pulse P4 on the component pulse P3. The third pulsed light PL3 may not include any other components except for the component pulse P3 and the component pulse P4.
As shown in
The pulse formation unit 3 makes it possible to change a time interval D1 between an intensity peak of the component of the wavelength of the pump light included in the third pulsed light PL3 (component pulse P3) and an intensity peak of the component of the wavelength of the probe light (component pulse P4). The time interval may be suitably changed in accordance with type or characteristics of the measurement object B. The time interval D1 may be zero. The pulse formation unit 3 makes it possible to change a ratio (W3/W4) of the pulse width W3 of the component of the wavelength of the pump light included in the third pulsed light PL3 (component pulse P3) to the pulse width W4 of the component of the wavelength of the probe light (component pulse P4). The ratio (W3/W4) may be suitably changed in accordance with type or characteristics of the measurement object B. In this case, a ratio (W1/W2) between the pulse width W1 of the first pulsed light PL1 and the pulse width W2 of the second pulsed light PL2 is also changed in accordance with the ratio (W3/W4).
The control unit 18 (refer to
φ(λ)=φ2(ω(λ)−ωB)2/2
The factor φ2 is a constant. The factors ω(λ) and ωB are angular frequencies, and ω(λ)=2πc/λ, and ωB=λαc/λB (the factor c is a velocity of light). The wavelength AB in which the part G11b has a local minimum value is larger than the wavelength λA. The wavelength λA is larger than the peak wavelength 2c of the spectrum intensity. The part G11a forms the component pulse P3 that is a component of the wavelength of the pump light in the third pulsed light PL3, and the part G11b forms the component pulse P4 that is a component of the wavelength of the probe light in the third pulsed light PL3. In this manner, in the spectrum phase G11, a boundary between the part forming the component pulse P3 and the part forming the component pulse P4 is discontinuous.
The measurement object B is arranged on the optical axes of the first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3, output from the pulse formation unit 3. The first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 which are output from the pulse formation unit 3 are incident on the measurement object B. The first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 which have been transmitted through the measurement object B are output from the measurement object B. Alternatively, the first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 which have been reflected or scattered in the measurement object B may be output from the measurement object B. The measurement object B is activated by the pump light, and the optical property thereof is changed. Therefore, compared to the temporal waveform of the probe light when the pump light is not incident at the same time, that is the temporal waveform of the second pulsed light PL2, the temporal waveform of the probe light when the pump light is incident at the same time, that is the temporal waveform of the component pulse P4 of the third pulsed light PL3, significantly changes immediately after incidence of the component pulse P3.
The attenuation unit 41 passes the first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 output from the measurement object B. At this time, the attenuation unit 41 passes the component of the wavelength of the probe light included in the second pulsed light PL2 and the third pulsed light PL3, typically, the second pulsed light PL2 and the component pulse P4 to be transmitted therethrough substantially without being attenuated. Further, the attenuation unit 41 attenuates the component of the wavelength of the pump light included in the first pulsed light PL1 and the third pulsed light PL3, typically, the first pulsed light PL1 and the component pulse P3. In other words, the attenuation rate in the attenuation unit 41 at the wavelength of the pump light is larger than the attenuation rate in the attenuation unit 41 at the wavelength of the probe light. When the attenuation unit 41 has a wavelength filter, the cutoff band of the wavelength filter includes the wavelength of the pump light, and the transmission band of the wavelength filter includes the wavelength of the probe light. The transmittance of the wavelength filter at the wavelength of the pump light is, for example, within a range of 0% to 50%. The transmittance of the wavelength filter at the wavelength of the probe light is, for example, within a range of 50% to 99%.
For comparison between the second temporal waveform TW2 and the difference between the third temporal waveform TW3 and the first temporal waveform TW1, various methods such as evaluation of a difference therebetween, evaluation of ratios thereof, and the like can be used. The order of the above calculation based on the first temporal waveform TW1, the second temporal waveform TW2, and the third temporal waveform TW3 is arbitrary.
The correlation optical system 50 receives the first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 having passed through the attenuation unit 41. The correlation optical system 50 transforms the first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 into correlation light including a cross-correlation or an auto-correlation. The first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 which have been transformed into correlation light are output from the correlation optical system 50 and detected by the photodetector 51.
The auxiliary storage device 67 (refer to
Here, a time response measurement method of the present embodiment will be described.
First, the first state (a state in which the attenuation unit 41 is arranged on the optical path of the pulsed light PL output from the measurement object B) is selected in the optical system 4 (Step ST11). The Step ST11 corresponds to Step ST1 shown in
The order of Steps ST12 to ST14 is arbitrary. Step ST13 may be performed first, or Step ST14 may be performed first. However, the light intensity of the third pulsed light PL3 is larger than each of the light intensities of the first pulsed light PL1 and the second pulsed light PL2. Depending on the measurement object B, irreversible change in properties may occur due to incidence of light with a large light intensity. In such a case, when Step ST14 is performed prior to at least one of Steps ST12 and ST13, there is concern that the first temporal waveform TW1 and/or the second temporal waveform TW2 measured thereafter may lack accuracy. Such concern can be reduced by performing Step ST14 after Steps ST12 and ST13.
Thereafter, regarding Step ST15, the time response of the measurement object B is calculated based on the first temporal waveform TW1, the second temporal waveform TW2, and the third temporal waveform TW3. In this Step ST15, the time response of the measurement object B may be calculated based on a comparison between the second temporal waveform TW2 and the difference between the third temporal waveform TW3 and the first temporal waveform TW1, based on the principle described above. This Step ST15 corresponds to Step ST6 shown in
Points to note when the first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 are generated by the SLM 14 will be described. The SLM 14 outputs unmodulated 0th-order light in addition to 1st-order light, −1st-order light, and the like that are generated by phase modulation. Unlike the 1st-order light and the −1st-order light, the 0th-order light does not contribute to formation of the desired temporal waveform. Therefore, if pulsed light P0 constituted of the 0th-order light is temporally superimposed on the first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3, the 0th-order light is detected together with the pump light and/or the probe light at the same time. For example,
Therefore, it is better to generate the first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 in a manner of being temporally shifted from the pulsed light P0 constituted of the 0th-order light. For example,
The first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 may be generated before the pulsed light P0 or may be generated after the pulsed light P0. However, since the time response of the measurement object B continues for a long time after the pump light is incident, the pulsed light P0 may be generated before the first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 (that is, the first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 may be generated after the pulsed light P0).
Measurement of a wavelength dispersion amount of the measurement object B using the optical property measurement apparatus 1A of the present embodiment will be described.
The measurement object B is arranged on the optical axis of the light pulse train PL4 output from the pulse formation unit 3. The light pulse train PL4 output from the pulse formation unit 3 is incident on the measurement object B. The light pulse train PL4 transmitted through the measurement object B is output from the measurement object B.
The measurement object B is a light guide member such as an optical fiber or an optical waveguide, for example. Examples of an optical fiber include a single mode fiber, a multi-mode fiber, a rare earth-doped fiber, a photonic crystal fiber, a dispersion shifted fiber, and a double cladding fiber. Examples of an optical waveguide include a micro-waveguide made of a semiconductor such as SiN or InP. Alternatively, the measurement object B may be, for example, a semiconductor or a dielectric optical crystal. In that case, the measurement object B may be diamond, SiO2, LiNbO3, LiTaO3, PLZT, Si, Ge, fullerene, graphite, graphene, carbon nanotube, GaN, GaAs, a magnetic material, an organic material, a polymer material, or the like.
The light pulse train PL4 having passed through the optical system 4 is input to the correlation optical system 50. The correlation optical system 50 transforms the light pulse train PL4 into correlation light including a cross-correlation or an auto-correlation. The light pulse train PL4 transformed into correlation light is output from the correlation optical system 50.
As shown in
In this manner, if the light pulse train PL4 passes through the measurement object B, the feature value (the peak intensity PEa, PEb, and PEc, the full widths at half maximum Wa, Wb, and Wc, and the peak time intervals Ga,b and Gb,c) of the temporal waveform of the correlation light significantly changes compared to the case in which the light pulse train PL4 does not pass through the measurement object B. Further, the degree of change thereof depends on the wavelength dispersion amount of the measurement object B. Therefore, the wavelength dispersion amount of the measurement object B can be ascertained accurately and easily by observing change in feature value of the temporal waveform of the correlation light. However, the wavelength dispersion amount of the measurement object B may be corrected using a known wavelength dispersion amount of the pulsed laser light source 2.
First, in the optical system 4, the second state (a state in which the attenuation unit 41 is not arranged on the optical path of the pulsed light PL output from the measurement object B) is selected (Step ST21). The Step ST21 corresponds to Step ST1 shown in
Effects obtained by the optical property measurement apparatus 1A and the optical property measurement method according to the present embodiment described above will be described. In the optical property measurement apparatus 1A and the optical property measurement method according to the present embodiment, the number of pulses, the spectrum, and the temporal waveform can be set according to the type of the optical property to be measured by using the pulse formation unit 3 capable of changing the number of pulses, the spectrum, and the temporal waveform of the pulsed light PL. The presence or absence of the attenuation unit 41 on the optical path can be set using the optical system 4 capable of switching between the first state in which the attenuation unit 41 is arranged on the optical path of the pulsed light PL output from the measurement object B and the second state in which the attenuation unit 41 not arranged on the optical path. The attenuation rate of the attenuation unit 41 with respect to one wavelength component constituting the pulsed light PL is larger than the attenuation rate of the attenuation unit 41 with respect to another wavelength component constituting the pulsed light PL. Therefore, measurement of optical property requiring light reduction of one wavelength component constituting the pulsed light PL after passing through the measurement object B (for example, the time response measurement) and measurement of optical property not requiring light reduction thereof after passing through the measurement object B (for example, the wavelength dispersion measurement) can be performed using one apparatus. Thus, measurement of two or more types of the optical properties, for example, the time response measurement and the wavelength dispersion measurement can be performed using one apparatus.
As shown in
As in the present embodiment, types of the optical properties to be measured may include the time response inside the measurement object B caused by light incidence and the wavelength dispersion amount of the measurement object B, and the optical system 4 may be set in the first state when the time response is measured and in the second state when the wavelength dispersion amount is measured. When the time response is measured, it is desired that the pump light and the probe light having wavelengths different from each other be incident on the measurement object B and then only the probe light be measured by removing the pump light. In this case, the pump light corresponds to the foregoing one wavelength component, and the probe light corresponds to the foregoing another wavelength component. When the wavelength dispersion amount is measured, it is desired that the light pulse train PL4 including the plurality of light pulses PLa, PLb, and PLc having wavelengths different from each other be incident on the measurement object B and the temporal waveform of the light pulse train PL4 having passed through the measurement object B be detected while a light intensity ratio between the wavelength components is maintained. In the optical system 4, the time response measurement and the wavelength dispersion measurement can be performed by selecting the first state when the time response is measured and selecting the second state when the wavelength dispersion amount is measured.
As in the present embodiment, when the wavelength dispersion amount is measured, the pulse formation unit 3 may form the light pulse train PL4 including the plurality of pulses PLa, PLb, and PLc having a time difference therebetween and having center wavelengths different from each other as the pulsed light PL. The waveform measurement unit 5 may measure the temporal waveform of the light pulse train PL4 having passed through the measurement object B. The analysis unit 6 may estimate the wavelength dispersion amount of the measurement object B based on the feature value of the temporal waveform of the light pulse train PL4. Accordingly, the wavelength dispersion amount of the measurement object B can be measured.
As in the present embodiment, when the time response is measured, the pulse formation unit 3 may generate, as the pulsed light PL, the first pulsed light PL1 including a wavelength of the pump light, the second pulsed light PL2 including a wavelength of the probe light, and the third pulsed light PL3 including both a wavelength of the pump light and a wavelength of the probe light, on a common optical axis. The attenuation rate of the attenuation unit 41 with respect to the pump light may be larger than the attenuation rate of the attenuation unit 41 with respect to the probe light. The waveform measurement unit 5 may measure the first temporal waveform TW1 that is a temporal waveform of the first pulsed light PL1 having passed through the attenuation unit 41, the second temporal waveform TW2 that is a temporal waveform of the second pulsed light PL2 having passed through the attenuation unit 41, and the third temporal waveform TW3 that is a temporal waveform of the third pulsed light PL3 having passed through the attenuation unit 41. The analysis unit 6 may calculates the time response of the measurement object B based on the first temporal waveform TW1, the second temporal waveform TW2, and the third temporal waveform TW3.
As in the present embodiment, when the time response is measured, Steps ST2 and ST3 shown in
In order to resolve this problem, it is conceivable that the optical axes of the pump light and the probe light be aligned with each other without being inclined and the pump light and the probe light be incident on the measurement object arranged on the aligned optical axis. Accordingly, since it is not necessary to perform alignment work for the irradiation position of the pump light and the irradiation position of the probe light, measurement work can be simplified. However, in that case, the probe light is detected as light having the pump light superimposed thereon. Therefore, in order to measure the time response inside the measurement object caused by irradiation with the pump light by means of the probe light, it is desired to eliminate an influence of the pump light from the detection results. So, it is conceivable to remove only the pump light out of the pump light and the probe light that have passed through the measurement object. However, since the light intensity of the pump light is usually much larger than the light intensity of the probe light. Therefore, even if only the pump light is attenuated using a wavelength filter for example, a light intensity of the remaining pump light cannot be disregarded with respect to the light intensity of the probe light.
In the optical property measurement apparatus 1A and the optical property measurement method of the present embodiment, the first pulsed light PL1 including a wavelength of the pump light, the second pulsed light PL2 including a wavelength of the probe light, and the third pulsed light PL3 including a wavelength of the pump light and a wavelength of the probe light are generated on the common optical axis. Further, after the first pulsed light PL1, the second pulsed light PL2, and the third pulsed light PL3 are incident on the measurement object B on the optical axis, the attenuation unit 41 attenuates the light intensity of a wavelength of the pump light. In this case, the first temporal waveform TW1 that is a temporal waveform of the first pulsed light PL1 having passed through the attenuation unit 41 includes only the temporal waveform of the attenuated pump light. The second temporal waveform TW2 that is a temporal waveform of the second pulsed light PL2 having passed through the attenuation unit 41 includes only the temporal waveform of the probe light when the pump light is not incident. The third temporal waveform TW3 that is a temporal waveform of the third pulsed light PL3 having passed through the attenuation unit 41 includes a temporal waveform in which the temporal waveform of the probe light when the pump light is incident and the temporal waveform of the attenuated pump light are superimposed. Based on these temporal waveforms, while an influence of the pump light is eliminated by calculation, the time response inside the measurement object B caused by incidence of the pump light can be obtained from the temporal waveform of the probe light.
Furthermore, according to the optical property measurement apparatus 1A of the present embodiment, the following operations and effects can also be achieved. For instance, in a case in which the optical axis of the pump light when passing through the measurement object B is inclined with respect to the optical axis of the probe light, a region inside the measurement object B in which property change occurs is limited to a region in which the optical axis of the pump light intersects with the optical axis of the probe light, and the region is very small. Thus, an influence of property change in the corresponding region on the probe light is also small. In contrast, in the optical property measurement apparatus 1A of the present embodiment, the optical axis of the pump light is aligned with the optical axis of the probe light when the pump light and the probe light pass through the measurement object B. Therefore, a portion of the region inside the measurement object B where the property change occurs that overlaps with the region irradiated with the probe light extends along the optical axis of the probe light. A volume of the portion is larger than the portion in the case in which the optical axis of the pump light intersects with the optical axis of the probe light. Thus, since an influence of property change in the portion on the probe light is also large, the time response inside the measurement object B can be more accurately obtained.
As in the present embodiment, in the analysis unit 6 and Step ST15, the time response of the measurement object B may be obtained based on a comparison between the second temporal waveform TW2 and the difference between the third temporal waveform TW3 and the first temporal waveform TW1. The temporal waveform of the probe light when the pump light is incident can be obtained while an influence of the pump light is eliminated by calculating the difference between the third temporal waveform TW3 and the first temporal waveform TW1. Further, by comparison between the difference and the second temporal waveform TW2, the temporal waveform of the probe light when the pump light is incident can be compared with the temporal waveform of the probe light when the pump light is not incident to obtain the time response inside the measurement object B more accurately.
As in the present embodiment, the pulse formation unit 3 may have the SLM 14 generating the pulsed light PL by performing at least any modulation of phase modulation and intensity modulation of the input initial pulsed light Pa. The same as that, in Step ST2, the pulsed light PL may be generated using the SLM 14 performing at least any modulation of phase modulation and intensity modulation of the input initial pulsed light Pa. The pulse formation unit 3 may have the SLM 14 for generating the pulsed light PL by performing phase modulation and intensity modulation of the input initial pulsed light Pa at the same time. The same as that, in Step ST2, the pulsed light PL may be generated using the SLM 14 performing phase modulation and intensity modulation of the input initial pulsed light Pa at the same time. In these cases, various types of pulsed light PL can be selectively generated by simply changing the modulation pattern displayed in the SLM 14. Therefore, the pulsed light PL generated in the pulse formation unit 3 can be easily changed in accordance with the type of the optical property to be measured.
As in the present embodiment, the waveform measurement unit 5 may have the correlation optical system 50. The correlation optical system 50 is disposed at a stage subsequent to the optical system 4 and outputs correlation light including the cross-correlation or the auto-correlation of the pulsed light PL. Further, the analysis unit 6 may calculate the time response of the measurement object B based on the correlation light. In that case, even if the time width of the pulsed light PL is on a femtosecond order or a picosecond order, for example, the temporal waveform thereof can be accurately measured. Hence, the property change inside the measurement object B can be accurately measured.
As in the present embodiment, the attenuation unit 41 may have a wavelength filter having a cutoff band including a wavelength of the pump light and having a transmission band including a wavelength of the probe light. In this case, the light intensity of a wavelength of the pump light can be attenuated by a simple configuration.
As in the present embodiment, the time interval D1 between the intensity peak of the component pulse P3 and the intensity peak of the component pulse P4 may be made variable in the pulse formation unit 3. In that case, the time interval D1 between the component pulse P3 and the component pulse P4 can be easily set suitably in accordance with type or characteristics of the measurement object B.
As in the present embodiment, in the pulse formation unit 3, the ratio (W3/W4) of the pulse width W3 of the component pulse P3 to the pulse width W4 of the component pulse P4 may be made variable. In that case, the ratio between the pulse width of the pump light included in the third pulsed light PL3 and the pulse width of the probe light included in the third pulsed light PL3 can be easily set suitably in accordance with type or characteristics of the measurement object B.
As in the present embodiment, the pulse width W3 of the component pulse P3 may be smaller than the pulse width W4 of the component pulse P4. For example, it is conceivable to adopt a method in which the third pulsed light PL3 is detected a plurality of times while changing the time difference between the component pulse P3 and the component pulse P4 having the pulse width W4 approximately the same as the pulse width W3. According to the present embodiment, being different from such a method, measurement is completed by simply detecting the third pulsed light PL3 only once. Therefore, since the number of times of irradiation and the number of times of detection of the third pulsed light PL3 can be reduced, measurement work can be further simplified.
Here, an example of a method for determining the pulse width of the probe light, that is, the pulse width W2 of the second pulsed light PL2 and the pulse width W4 of component pulse P4 will be described.
With reference to
The optical property measurement apparatus 1A of the above embodiment may also measure a third-order nonlinear coefficient χ (3) of the measurement object B by changing the pulse widths W2 and W4 of the probe light when the time response of the measurement object B is measured.
When the pump light is incident on the measurement object B, a refractive index of the measurement object B changes in the irradiation region thereof. As a result, the temporal waveform of the probe light is distorted when passing through the measurement object B. Such a phenomenon is referred to as cross-phase modulation (XPM). The magnitude of XPM depends on the third-order nonlinear coefficient χ (3) of the measurement object B. It is conceivable that a phase change of the time response waveform of the measurement object B be caused by the XPM. Therefore, the third-order nonlinear coefficient χ (3) of the measurement object B can be measured by detecting the phase change of the time response waveform of the measurement object B included in the temporal waveform TW5. The analysis unit 6 may calculate the third-order nonlinear coefficient χ (3) of the measurement object B based on the temporal waveform TW5. Information being a calculation source of the third-order nonlinear coefficient χ (3) is not limited to the temporal waveform TW5 and may be various types of information derived from the first temporal waveform TW1, the second temporal waveform TW2, and the third temporal waveform TW3.
The correlation light of the pulsed light PL reaches the optical system 40. The optical system 40 passes the correlation light of the pulsed light PL output from the correlation optical system 50. The optical system 40 has an attenuation unit 48. An attenuation rate of the attenuation unit 48 with respect to one wavelength component (for example, correlation light of the pump light) constituting the pulsed light PL is larger than an attenuation rate of the attenuation unit 48 with respect to another wavelength component (for example, correlation light of the probe light) constituting the pulsed light PL.
The optical system 40 is configured to be able to switch between the first state in which the attenuation unit 48 is arranged on the optical path of the pulsed light PL output from the correlation optical system 50 and the second state in which the attenuation unit 48 is not arranged on the optical path. The optical system 40 is set in the first state when the time response inside the measurement object B caused by light incidence is measured and is set in the second state when the wavelength dispersion amount of the measurement object B is measured. The configurations of the optical system 40 and the attenuation unit 48 except for those described above are the same as those in the foregoing embodiment.
When the time response inside the measurement object B is measured, the attenuation unit 48 transmits the wavelength component, which is caused by the probe light, included in the correlation light of each of the second pulsed light PL2 and the third pulsed light PL3, typically, the correlation light of each of the second pulsed light PL2 and the component pulse P4, without being attenuated substantially. In addition, the attenuation unit 48 attenuates the wavelength component, which is caused by the pump light, included in the correlation light of each of the first pulsed light PL1 and the third pulsed light PL3, typically, the correlation light of each of the first pulsed light PL1 and the component pulse P3.
The pulsed light PL having passed through the optical system 4 is incident on the elongated optical fiber 502. The elongated optical fiber 502 extends the time width of the pulsed light PL propagated inside the elongated optical fiber 502. For example, the elongated optical fiber 502 extends the pulse width on a femtosecond order to a nanosecond order. A temporal waveform of the pulsed light PL having an extended time width is detected by the photodetector 51. Since the length and the refractive index of the elongated optical fiber 502 are already known, the analysis unit 6 calculates the temporal waveform of the pulsed light PL before the time width is extended, from each detected temporal waveform. The analysis unit 6 measures the time response of the measurement object B based on the temporal waveform. The optical property measurement apparatus 1B according to the second modification may have the elongated optical fiber 502 as an optical component in place of the correlation optical system 50. That is, the elongated optical fiber 502 may be arranged on the optical path between the measurement object B and the optical system 4.
As in the present modification, the waveform measurement unit 5A may have an optical component (elongated optical fiber 502) which is arranged between the measurement object B and the optical system 4 or at a stage subsequent to the optical system 4 and extends the time width of the pulsed light PL. In this case, for example, even if the time width of the pulsed light PL is on a femtosecond order or a picosecond order, the temporal waveform thereof can be accurately measured. Hence, optical property of the measurement object B can be accurately measured.
According to the present modification, since the pulsed light PL having an extended time width is detected, it is not necessary to use a complicated optical system such as a correlation optical system. When a correlation optical system is used, it is necessary to perform detection while setting a plurality of time differences between the pulsed light PL and reference pulsed light. However, according to the present modification, the temporal waveform of the pulsed light PL can be detected by performing a fewer times of detection. As a result, measurement work can be further simplified.
According to the configuration of the present modification, the same effects as those of the third modification described above can be achieved. Furthermore, since the CFBG 504 is much smaller than the elongated optical fiber 502, the optical property measurement apparatus can be miniaturized. A propagation loss can be reduced compared to the elongated optical fiber 502.
The waveform measurement unit 5 of the foregoing embodiment may have a spectral interference optical system as an optical system in place of the correlation optical system 50. The spectral interference optical system divides the pulsed light PL into two and generates interfere fringes by causing the two divided pulsed light PL to interfere with each other. Further, the interfere fringes are measured using a spectrometer. In that case, for example, even if the time width of the pulsed light PL is on a femtosecond order or a picosecond order, the temporal waveform thereof can be accurately measured. Hence, the optical property of the measurement object B can be accurately measured.
Both the first pulsed laser light source 2A and the second pulsed laser light source 2B are optical frequency comb light sources in which a pulse cycle and an offset frequency are made stable and periodically outputs a femtosecond light pulse constituted of a group of modes (group of comb modes) arranged at equal frequency intervals. The phases of the first pulsed laser light source 2A and the second pulsed laser light source 2B are synchronized, and the periods thereof for outputting a femtosecond light pulse are slightly different from each other. The first pulsed laser light source 2A outputs the initial pulsed light Pa, and the second pulsed laser light source 2B outputs the reference pulsed light Pr. The initial pulsed light Pa output from the first pulsed laser light source 2A is transformed into the pulsed light PL by the pulse formation unit 3. After passing through the measurement object B and the optical system 4, the pulsed light PL is input to the waveform measurement unit 5C.
Meanwhile, the reference pulsed light Pr output from the second pulsed laser light source 2B is directly input to the waveform measurement unit 5C without going through the pulse formation unit 3, the measurement object B, and the optical system 4. At this time, the pulsed light PL interferes with the reference pulsed light Pr and is transformed into interference light. The waveform measurement unit 5C has a photodetector 505. The photodetector 505 detects the interference light of the pulsed light PL. The interference light is correlation light including the cross-correlation of the pulsed light PL. Therefore, the second pulsed laser light source 2B, the optical system guiding the pulsed light PL to the waveform measurement unit 5C, and the optical system guiding the reference pulsed light Pr to the waveform measurement unit 5C constitute a correlation optical system.
Here, both the first pulsed laser light source 2A and the second pulsed laser light source 2B periodically output a femtosecond light pulse, and the periods thereof are slightly different from each other. Therefore, a difference occurs between a timing when the pulsed light PL is input to the photodetector 505 and a timing when the reference pulsed light Pr is input to the photodetector 505, and the difference changes over time. Therefore, the photodetector 505 consecutively outputs an electrical signal representing an intensity of correlation light while changing a time delay of the reference pulsed light Pr to the pulsed light PL. As a result, an electrical signal corresponding to an optical signal obtained by sampling a temporal waveform of the pulsed light PL at a different timing can be consecutively acquired. The waveform measurement unit 5C measures the temporal waveform of the pulsed light PL by processing the electrical signals which have been consecutively acquired in this manner.
In the correlation optical system 50B illustrated in
In contrast, in the optical property measurement apparatus 1C according to the present modification, since no movable reflector is used, compared to the optical property measurement apparatus 1A including the correlation optical system 50B illustrated in
The optical property measurement apparatus and the optical property measurement method according to the present disclosure are not limited to the embodiment described above, and various other modifications can be made. For example, the embodiment and each of the modifications described above may be combined in accordance with necessary purpose and effect.
Number | Date | Country | Kind |
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2022-046443 | Mar 2022 | JP | national |