Optical amplifiers and preamplifiers perform optical amplification based on a gain medium. One type of amplifier performs optical gain by stimulated emission. For example, most amplifiers are laser amplifiers that amplify an input signal based on stimulated emission in a gain medium, such as a crystal or glass material, which is doped with laser-active ions, or an electrically pumped semiconductor. In a gain medium having weak amplification properties, the effective gain may be increased by arranging for multiple passes of the radiation through the amplifier medium.
Another type of optical amplifier operates based on optical nonlinearities of the gain medium. For example, a gain medium that exhibits parametric gain can be used to amplify an input signal using a parametric nonlinearity and one or more pump waves. Another type of nonlinear amplification relates to Raman amplification, which amplifies an input signal based on Raman gain. Raman gain corresponds to a type of optical gain arising from Raman scattering. Raman scattering relates generally to a non-instantaneous response of photons propagating through an optical medium that is caused by interaction with vibrations of the medium (phonons). Most of the Raman scattered photons are shifted to longer wavelengths, called a “Stokes shift”, and a smaller portion of the scattered photons are shifted to shorter wavelengths, called an “anti-Stokes shift”. Typical Raman-active media include certain gases and solid state media, such as glass fibers or certain crystals.
Optical amplifiers and preamplifiers are employed in a variety of technologies, including telecommunications fields, directed energy systems, object imaging systems, object positioning and tracking systems, detection systems, fiber optics, machine fabrication, and medical systems.
The present invention relates generally to a multimode Raman waveguide amplifier.
One aspect of the present invention provides a Raman waveguide amplifier that includes a waveguide comprising a core of a Raman-active medium dimensioned and configured as a self-imaging multimode waveguide. At least one input signal is coupled into the core at a wavelength within a Raman gain spectrum of the Raman-active medium relative to at least one pump beam. The pump beam is coupled into the core so as to amplify the at least one input signal via stimulated Raman scattering to provide an output signal corresponding to an amplified replica of the at least one input signal.
Another aspect of the present invention provides a Raman multimode amplifier system that includes means for propagating multiple optical modes along a direction of propagation and for periodically replicating an optical electrical field distribution at a given plane transverse to a longitudinal axis thereof in the direction of propagation at points that are multiples of a self-imaging period. The system also includes means for pumping at least one pump beam to provide for stimulated Raman scattering in the means for propagating, such that at least one Stokes signal coupled to a first end of the means for propagating is amplified by the stimulated Raman scattering to provide a corresponding output signal at a second end thereof that is an amplified replica of the at least one Stokes signal.
Yet another aspect of the present invention provides a method for amplifying a diffraction limited input optical signal. The method includes providing a waveguide core of a Raman active medium. The core is dimensioned and configured to propagate multiple optical modes along a direction of propagation and for periodically replicating an optical electrical field distribution at a given plane transverse to the direction of propagation at points that are multiples of a self-imaging period. The waveguide core is pumped with at least one pump beam within a Raman gain linewidth for the Raman active medium as to amplify the input signal through stimulated Raman scattering and thereby provide an amplified diffraction limited output signal at an output of the waveguide core.
At least one and suitably a plurality of pumping beams 18 are provided at the input end 14. An input beam 20 is also provided at the input end 14 which, in the example of
The pump beams 18 and the input signal 20 can be co-propagating or counter-propagating or a combination of co-propagating and counter-propagating beams to provide the Raman gain at the stoke shifted wavelength. Thus, the wavelength of the pump beam 18 should be selected according to the desired wavelength of the amplified Stokes output beam 22. The pump beams 18 are provided at a wavelength that is shorter (e.g., typically a few tens of nanometers shorter) than the desired wavelength of the input Stokes beam 20, such as can be determined by adding the Raman energy according to the Stokes shifted wavelength. Stated differently, so long as the wavelength spread of the pump beams 18 are substantially within the Raman gain linewidth of the Raman active medium of the waveguide core 12, each such pump can amplify the same Stokes input beam 20 that is injected to the waveguide 12. Thus, the pump beam(s) 18 can be considered more energetic than the input signal 20. The wavelength of the respective pump beams 18 can be the same or different, so long as the pump beams are within the Raman gain linewidth of the particular Stokes signal 20 that is to be amplified. The Raman gain linewidths of various materials, such as those described herein, are well-known in the art or can be ascertained through empirical testing. Advantageously, the pump beams can be incoherent beams, such as can be provided by a plurality of lower power and beam quality readily available and relatively inexpensive optical sources. The resulting amplified output Stokes beam 22 is provided at 16 as an amplified replica of the input beam 20, which amplification occurs due to the Raman gain of the Raman active media 12. Accordingly, the input beam 20 should be provided from an appropriate source having desirable beam characteristics for the output beam 22.
No phase matching of the pump signals 18 and input signals 20 is required due to the Raman amplification process that occurs in the waveguide. That is, the Raman amplification is a multimode amplification that enables each pump mode to amplify each of the Stokes mode without regard to phase. The pump beams 18 can each be generated by a different source or the pump beams 18 can correspond to a spectrum of wavelengths such as can correspond to a broadband and multimode input beam. Those skilled in the art will understand and appreciate various types of sources from which the input beams can be generated. For example, the pump beams 18 can be provided by non-phased locked lasers, such as a quantum cascade, incoherent beams (from one or more free running lasers), color center lasers, semiconductor diode lasers) to name a few. Advantageously, the quality of the optical sources that provide the pump beams 18 can be relatively low quality (inexpensive) lasers. The wavelength of the pump beams 18, however, will determine where the Raman gain spectrum resides in wavelength for the resulting output beam 22.
The Raman active medium 12 is configured to perform Raman amplification while also exploiting self-imaging property of the waveguide core. For instance, due to self-imaging properties of the waveguide 12, the optical electrical field distribution at a given plane transverse to the axis of the waveguide is replicated periodically in the direction of propagation at points that are multiples of the image repeat distance. The distance for such periodic re-imaging, sometimes called the waveguide self-imaging period or length, which is functionally related to the index of refraction (n) of the waveguide propagation medium, the width or thickness (a) of the waveguide propagation medium, and the wavelength (λ) of the light being propagated. For example, the self-imaging period (L) can be provided as the so-called Talbot self-imaging that occurs due to constructive interference between the various waveguide modes (see, e.g., Eq. 7 herein below). Thus, the waveguide 12 periodically reconstructs or re-images the input beam spatial profile that is focused by the lens system onto the aperture or face 14 at positive integer multiples of the waveguide self-imaging period L. Accordingly, the length of the waveguide 12 can be dimensioned so that beam reconstitutes at the end 16 at which the output beam 22 is provided.
It is to be understood and appreciated that various Raman active media, such as those described herein, generate heat by the amplification process. The waveguide 12 thus can also be bonded or otherwise connected to a heat sink 24 to dissipate heat generated during operation. Accordingly, the heat from the waveguide 12 will be conducted into the heat sink 24 such that the system 10 can enable high power generation in the mid infrared region (MWIR). As mentioned above, it is desirable that the Raman active medium 12 have a high thermal conductivity to facilitate transfer of heat from the waveguide to the heat sink 24. The output Stokes signal 22 can be amplified by the SRS process according to the Raman gain spectrum of the Raman active medium 12 utilized to provide the core of the waveguide 10.
Since the waveguide is a multimode waveguide, each pump mode in the multimode Raman amplifier can couple to amplify each Stokes mode without regard to phase. This is in contrast to the non-linear gain produced by many non-linear processes, such as optical parametric amplification. Optical parametric amplification and other non-linear processes often require phase matching of input beams to provide suitable amplification. Thus, by providing multimode self-imaging waveguide that exhibits Raman amplification (e.g., due to the SRS process), a corresponding diffraction limited amplified Stokes output beam 22 can be provided at 16. Additionally, such an approach enables amplification to higher power than many existing types of amplifiers can provide at comparable beam quality.
Those skilled in the art will understand various Raman active materials and compositions that can be utilized as a multimode self-imaging waveguide according to an aspect of the present invention. Properties of desirable of Raman active medium can include: (1) transparency at the pumping wavelength and at the down-shifted Stokes wavelength; (2) large Raman gain (e.g., greater than about 3 cm/GW); (3) high thermal conductivity; (4) low non-linear absorption losses at the pump wavelength and Stokes wavelength; (5) high optical damage threshold (MW/CM2). Examples of suitable materials and their respective properties are provided in Table 1 below. As shown in Table 1, examples of Raman active medium include silicon (Si), barium nitrate (Ba(NO3)2), lithium iodate (LiIO3), potassium gadolinium tungstate (KGd(WO4)2), calcium tungstate (CaWO4). Other crystal materials that can be employed as the Raman active medium 12 in a self-imaging Raman waveguide include BaWO4, SrWO4, PbWO4, BaMoO4, SrMoO4 PbMoO4, YVO4, and GdVO4 crystals. Another material with excellent thermal, thermooptic and Raman gain characteristics is silicon carbide (SiC), such as the 6H and 4H polytypes. Diamond is also an excellent choice as a Raman gain medium 12 that can be utilized in a multimode Raman waveguide amplifier according to an aspect of the present invention.
From Table 1, it will be appreciated that silicon can be utilized as a Raman active medium to provide a self-imaging multimode Raman waveguide according to an aspect of the present invention. For instance, a silicon waveguide can employed to provide a high power mid wavelength infrared (MWIR) source (e.g., providing a diffraction limited output having a wavelength in a range from about 2 μm to about 5 μm). Further analysis of a multimode self-imaging Raman waveguide is provided herein below.
In the example of
The Raman gain of the waveguide core 54 depends on the intensity of the pump signals 62 in the waveguide, as the energy from the pump beams is transferred to the input Stokes beam via Raman scattering. In the example of
In the example of
Certain characteristics and properties of a multimode self-imaging Raman waveguide (e.g., as shown and described with respect to
where i,j=to 1,2,3, . . . n—corresponding to the Eigen function normalized to unit power; and
Z0=waveguide impedance.
An input mode profile ψin can be expressed with a Gaussian mode at the center as follows:
where the total power is normalized to P,
w represents the Gaussian beam width; and
θ represents an input phase factor for the mode.
The foregoing function of equation 2 can be changed based on the launch condition. As one example, given a waveguide in which a=125 micrometers, b=50 micrometers and the Gaussian width is equal to 40 micrometers
considering as few as seven modes along the X-axis and one mode along the Y-axis thereby provides a coupling efficiency of approximately 98%. For such waveguide, the mode coefficients can be expressed as follows:
where:
and
The self-imaging length depends on wavelength, waveguide dimensions and refractive indices of the core and the cladding materials. More particularly, from the foregoing, it can be shown that the self-imaging length (LT) (also referred to as the self-imaging period or repeat length) varies as a function of the width and indices of refraction of the waveguide core and cladding and as a function of the wavelength of the light propagating through the core. For the example of a passive waveguide, the self-imaging length (LT) can be derived as follows:
where k=wave number of the waveguide medium;
A mode analysis that includes the effects of Raman gain (SRS), the effects of self-phase modulation (SPM) and the effects of cross-phase modulation (XPM) for the self-imaging Raman waveguide can be represented according to the following:
where: the first term
in Eq. 8 corresponds to the Raman gain χ(3) due to SRS,
and where Kmn-klSRS, can be expressed as follows:
Thus, assuming a pump wavelength of about 2.94 μm, for example, the Raman process scattering can provide a third order nonlinear electric susceptibility χ(3)=1.6×10−18 m2/V2.
An evolution of power along a length of a self-imaging multimode waveguide implemented according to an aspect of the present invention is shown in
One or more input pump beams 220 is also provided to the waveguide 200 to achieve corresponding Raman gain for amplifying the input image 210. In the example of
The waveguide 200 can also be configured to have an appropriate length to take advantage of the self-imaging property of the multimode waveguide. In this way the corresponding input image 210 (beam at the Stokes wavelength) can be coherently amplified along the propagation direction of the waveguide 200 to provide the amplified output beam 230 at 220. The output beam 230 thus corresponds to an amplified replica of the corresponding input beam at the Stokes wavelength. Due to beam cleanup that can occur along with the amplification and self-imaging in the waveguide 200, the output beam 230 thus exhibits desired beam and image characteristics consistent with the input image 210 (see, e.g.,
While the foregoing discussion has described the system 202 in terms of an input image and image amplification, it is to be understood and appreciated that the input image 210 could correspond to a plurality of discrete diffraction limited beams at the Stokes wavelength, each of which can be amplified through the Raman amplification process to amplify the one or more beams at a desired wavelength or wavelength spectrum. For example, a low level high quality diffraction limited Stokes beam 210 can be provided in the MWIR range and with appropriate pumping power by one or a plurality of pump beams 220 at an appropriate shorter wavelength. The energy from the pump beams 220 can result in Raman amplification of the Stokes beam or beams in a coherent amplification process with self-imaging to provide a high quality amplified replica of the input Stokes beam 210.
As one example, a plurality of different beams 308 can be directed at different elevation angles and over a range of azimuth angles to cover a predetermined two dimensional field of view. For example, each beam 308 can correspond to a pulse of electromagnetic radiation at one or more wavelengths and having a predetermined pulse duration (e.g., in a range of about 3-10 ns). The wavelength of the beam(s) 308 are selected to reside in the Raman gain linewidth (or spectral band) of a self-imaging Raman multimode waveguide 320 implemented in the image detection system 302 according to an aspect of the present invention. As described herein, the Raman gain linewidth can be set by providing one or more pump beams at appropriate wavelength(s) according to the Raman gain spectrum of the Raman active gain medium of the waveguide.
A portion of the transmitted laser beam 308 is reflected as one or more return beams from the one more objects 310 in the field of view back toward the ladar system 300. The objects 310 can be stationary or moving in two- or three-dimensional space. Input optics 314 (e.g., including one or more lenses and a narrow band filter) collects the return beam (or beams), indicated at 316. The same optics can be used for both transmitting and receiving the laser energy, such as if means (e.g., a transmit and receive switch) are available for isolating the outgoing and returning signals. The input optics 314 collects the return beam(s) 316 and relays the received light onto an input facet of the waveguide 320. A pump system 321 provides one or more pumping beams to the waveguide 320 to amplify the received light that travels along the length of the core via Raman gain. The pump beams can be provided relative to the input beam(s) as co-propagating, counter-propagating or a combination thereof.
According to an aspect of the present invention, the waveguide 320 has a core that is dimensioned configured as a multimode and self-imaging Raman amplifier. The waveguide 320, being a multimode configuration, has an aperture to receive light beams over a broad range of incidence angles, which received beams are amplified as they propagate as different modes through the waveguide 320. By configuring the length of the waveguide 320 to correspond to a self-imaging length (as described herein), the different modes of the amplified Stokes signal at the output facet of the Raman amplifier 320 substantially replicate the Stokes signal at the input end of the waveguide.
The waveguide 320 provides the amplified output signals to a suitable filter to remove a substantial portion of the amplified spontaneous emissions and non-image or pump beams. For example, the filter 322 can be configured as a narrow band-pass filter to remove out-of-band amplified spontaneous emissions and other noise. Since the amplified spontaneous emissions are distributed substantially uniformly over a broad range of frequencies, the filtering affords enhanced spatial rejection of spontaneous emissions for the target band or subset of bands (corresponding to the transmitted beams). One or more lenses 324 are arranged to image the filtered amplified light signals onto focal plane detector array 326. The detector array 326 detects the received image and converts it to an appropriate electronic signal format. Each photo-detector element in focal plane detector array 326 converts incident light power into a corresponding electric charge. For example, the focal plane detector array 326 collects data periodically corresponding to different temporal images (or frames) that spatially describe the object or objects 310 within the field of view. The data collected over time can define a two-dimensional representation of the object(s) in the target field of view 312 of the ladar system 300 over any number of frames.
The ladar system 300 also includes a signal processor 330 and associated memory 332. The memory 332 can include read-only memory (ROM), random access memory (RAM), and mass storage memory (e.g., hard disk drives, flash memory) or other types of memory suitable for implementing the ladar system 300. The signal processor 330 can be implemented as one or more microprocessor or digital signal processors programmed and/or configured to control and implement the ladar functions.
For example, the processor 330 can execute instructions (stored in the memory 332) to compute range, distance or velocity for each of a plurality of targets according to radiation energy rays received at corresponding incidence angles relative to the aperture of ladar transmitter 304. The processor 330 further can forms range cells for each of such incidence angles. The range or distance computations can be implemented in a variety of ways, such as by performing the Discrete Fourier Transform (DFT) on the time signal resident in each pixel. Other ranging and distancing functions can be utilized to provide a corresponding transformed data set, such as based on implementing a range counter based on a start and stop clock times for signals transmitted to the target scene of objects 310. The signal processor 330 can employ the transformed data set to form three-dimensional image data of the illuminated target scene 312, including one or more objects 310 located in the scene. The memory 332 can contain the algorithm utilized by the signal processor 330 as well as store the collected and transformed data to provide a corresponding representation of the image to an input/output device 334.
For example, the input/output device 334 can include a display monitor (e.g., CRT or LCD based display system) as well as an associated human-machine interface. The range and distance information associated with the scene further can be supplied directly (or indirectly) to other systems, including for implementing targeting and safety systems. Those skilled in the art will understand various types of display formats and other outputs (e.g., visual or audible) that can be provided based on computations performed by the signal processor 330.
By way of further example, one particular measure of ladar system 300 performance is the signal-to-noise ratio (SNR) at the output of each element (pixel) in the focal plane detector array 326. The SNR produced for given target illumination conditions is proportional to the sensitivity of the detector. The optical amplification of the image can also improve the sensitivity of the imaging receiver 302, such as to achieve significant system gains. For example, the approach described herein also provides a potential improvement in imaging ladar receiver sensitivity of 15-30 dB or greater, which translates directly to a potential reduction of the same order for the required transmitter power. Thus, by implementing using a self-imaging multimode Raman waveguide amplifier 320, according to an aspect of the present invention, detectors of reduced sensitivity (e.g., less expensive detectors) can be utilized in the array 326 without reducing performance relative to many existing ladar systems. Alternatively, an increase in receiver 302 sensitivity can enable a reduction in transmitter power while maintaining a constant SNR. Moreover, the self-imaging property and Raman amplification can also enable a the detector array to be implemented with smaller detector elements relative to many existing ladar systems, such that the ladar system 300 as a whole can to be made smaller.
There are many ladar applications in which it is desirable to illuminate a large target volume and detect the return signals from multiple targets within that volume simultaneously. An example would be a space interceptor seeking inbound warheads. Another would be imaging through foliage or camouflage netting. The approach described herein thus enables these and other applications to be realized along with a corresponding reduction of transmitter power required or an increased probability of detection. For example, the image detection systems, as shown and described herein, can also be utilized in other types of systems, such as including but not limited to wavefront sensors or lasercom multiple access receivers.
What has been described above includes exemplary implementations of the present invention. It is, of course, not possible to describe every conceivable combination of components or methodologies for purposes of describing the present invention, but one of ordinary skill in the art will recognize that many further combinations and permutations of the present invention are possible. Accordingly, the present invention is intended to embrace all such alterations, modifications and variations that fall within the spirit and scope of the appended claims.