This application claims priority to Japanese Patent Application No. 2022-038129 filed on Mar. 11, 2022, the entire contents of which are incorporated herein by reference.
The disclosure relates to an optical interference range sensor.
In recent years, optical range sensors that contactlessly measure the distance to a measurement target have become widely used. For example, known optical range sensors include optical interference range sensors that generate an interference beam by interference between a reference beam and a measurement beam from a light beam projected from a wavelength-swept light source and measure the distance to a measurement target based on the interference beam.
As such type of optical interference range sensor, a movement detection device for detecting a movement of a predetermined zone of a surface of a vibrating object has conventionally been known that includes: a means for generating a laser beam having a predetermined coherence length; a means for separating this laser beam into a measurement beam and a reference beam; a delay means for delaying the reference beam relative to the measurement beam by a time interval sufficient for the measurement beam to travel through a predetermined distance at least corresponding to the coherence length; a combining means for combining the delayed reference beam with the measurement beam to form a combination beam; a means for subdividing the combination beam into a plurality of substantially equal component beams; a wave-guiding means for guiding each of the component beams along a separate optical path to an intermediate location spaced from the predetermined zone substantially by one-half of the distance traveled by the beams in the predetermined time interval; a means for reflecting a portion of each of the component beams at respective positions back into respective reflection paths; a means for directing the remainder of each of the component beams from the respective intermediate positions to the predetermined zone, reflecting a predominant part of each of the directed beams from the predetermined zone toward at least the respective intermediate positions and the respective paths, combining the remaining measurement beam portion of each return component beam with the reference beam portion of a predetermined portion of each component beam so as to cause them to coherently interfere with each other, thus modulating the return light beams in dependence on a movement of the predetermined zone relative to the respective intermediate positions; and a demodulating means for demodulating the return light beams and indicating the movement of the predetermined zone (see JP 2686124).
JP 2686124 is an example of background art.
Here, in the case of measuring the distance to a measurement target in uniform motion, conventionally, the influence of the Doppler effect, i.e., a Doppler shift is suppressed by calculating an average value using current distance information and the previous distance information.
However, for example, in the case of measuring the distance to a measurement target that is a vibrating object vibrating at a predetermined frequency, the distance to the target changes with acceleration. Therefore, the shift amount due to the Doppler effect in the current distance information may differ from the shift amount due to the Doppler effect in the previous distance information. As a result, there is a concern in the conventional method that even if an average value is calculated, shifts (fluctuation) may occur in dependence on acceleration, and the distance cannot be measured accurately.
An optical interference range sensor may be capable of measuring the distance to a measurement target with high accuracy even if its distance changes with acceleration.
An optical interference range sensor according to or more embodiments may include: a light source configured to project a light beam while continuously varying its wavelength using a predetermined sweep frequency pattern; an interferometer to which the light beam projected from the light source is supplied, the interferometer being configured to generate an interference beam by interference between a measurement beam that is a light beam radiated by a sensor head toward a measurement target and reflected therefrom and a reference beam passing through an optical path that is at least partially different from an optical path of the measurement beam; a light-receiving unit configured to receive the interference beam from the interferometer and convert the received interference beam into an electrical signal; a processing unit configured to measure a distance to the measurement target based on the electrical signal converted by the light-receiving unit; and a storage unit configured to store distance information indicating the measured distance, wherein the predetermined sweep frequency pattern includes a first sweep frequency pattern and a second sweep frequency pattern, and the processing unit includes an average distance value calculation unit configured to calculate an average distance value based on the measured distance, first distance information indicating a distance based on a light beam projected using the first sweep frequency pattern, and second distance information indicating a distance based on a light beam projected using the second sweep frequency pattern, of past distance information regarding multiple measurements stored in the storage unit.
According to one or more embodiments, the average distance value is calculated based on the measured distance, the first distance information indicating the distance based on the light beam projected using the first sweep frequency pattern, and the second distance information indicating the distance based on the light beam projected using the second sweep frequency pattern, of the past distance information regarding multiple measurements stored in the storage unit. The structure may reduce shifts (fluctuation) dependent on the acceleration that occur in the conventional method when, for example, the distance to the measurement target, such as a vibrating object, changes with acceleration. Accordingly, using the average distance value enables highly accurate measurement of the distance to the measurement target T that changes with acceleration.
The first distance information may indicate a past distance once before the measured distance, and the second distance information may indicate a past distance twice before the measured distance.
According to one or more embodiments, the average distance value may be easily calculated based on the distances obtained in the recent three measurements including the current distance (at the current point in time).
The average distance value calculation unit may calculate the average distance value based on a first average value of the measured distance and the distance indicated by the first distance information, and a second average value of the distance indicated by the first distance information and the distance indicated by the second distance information.
According to one or more embodiments, an average distance value in which shifts (fluctuation) dependent on the acceleration have been reduced may be calculated more easily when the first sweep frequency pattern and the second sweep frequency pattern are alternately used.
The average distance value calculation unit may calculate the average distance value based on the measured distance, the first distance information, the second distance information, and at least one piece of third distance information different from the first distance information and the second distance information, of the past distance information regarding multiple measurements stored in the storage unit.
According to one or more embodiments, shifts (fluctuation) dependent on the acceleration may be further reduced.
The first sweep frequency pattern may be a pattern that increases a sweep frequency over time, and the second sweep frequency pattern may be a pattern that decreases the sweep frequency over time.
According to one or more embodiments, the first sweep frequency pattern is an up-chirp signal, the second sweep frequency pattern is a down-chirp signal, and the sweep frequency signal in the light source is a chirp signal (also called a “sweep signal”). Accordingly, the interferometer may easily generate an interference beam dependent on the optical path length difference between the measurement beam and the reference beam.
The light source may alternately use the first sweep frequency pattern and the second sweep frequency pattern.
According to one or more embodiments, the swept wavelength of the light beam projected from the light source may be alternately made long and short.
The processing unit may further include a frequency conversion unit configured to convert the electrical signal converted by the light-receiving unit to a frequency spectrum, and the distance to the measurement target may be measured based on the frequency spectrum.
According to one or more embodiments, the electrical signal in the temporal domain is converted to a frequency spectrum in the frequency domain, thus facilitating analysis of the frequency component included in the frequency spectrum.
The processing unit may further include a distance conversion unit configured to convert the frequency spectrum converted by the frequency conversion unit to the distance to the measurement target.
According to one or more embodiments, the distance to the measurement target may be easily measured by converting the frequency spectrum to the distance.
According to one or more embodiments, the distance to the measurement target may be measured with high accuracy even if the distance changes with acceleration.
One or more embodiments will be described in detail with reference to the attached drawings. Note that the following one or more embodiments are illustrative and exemplary only, and are not intended to limit the scope of the invention. To facilitate understanding of the description, the same constituent elements in the drawings are assigned the same signs to the extent possible, and redundant descriptions may be omitted.
Firstly, a summary of a displacement sensor according to one or more embodiments will be described.
The sensor head 20 and the controller 30 are connected by an optical fiber cable 40. An objective lens 21 is attached to the sensor head 20. The controller 30 includes a display unit 31, a setting unit 32, an external interface (I/F) unit 33, an optical fiber cable connector 34, and an external storage unit 35, and also contains a measurement processing unit 36.
The sensor head 20 radiates a light beam output from the controller 30 toward the measurement target T, and receives a reflected beam from the measurement target T. The sensor head 20 contains reference surfaces for reflecting a light beam that is output from the controller 30 and received via the optical fiber cable 40 and causing the reflected beam to interfere with the aforementioned reflected beam from the measurement target T.
Note that the objective lens 21 attached to the sensor head 20 is removable. The objective lens 21 can be replaced by another objective lens having an appropriate focal length in accordance with the distance between the sensor head 20 and the measurement target T. Alternatively, a variable-focus objective lens may be used.
Furthermore, when the sensor head 20 is installed, a guide beam (visible light) may be radiated toward the measurement object T, and the sensor head 20 and/or the measurement object T may be placed so that the measurement object T is appropriately positioned within a measurement area of the displacement sensor 10.
The optical fiber cable 40 is connected to the optical fiber cable connector 34 arranged on the controller 30 and connects the controller 30 to the sensor head 20. The optical fiber cable 40 thus guides a light beam projected from the controller 30 to the sensor head 20 and also guides return beams from the sensor head 20 to the controller 30. Note that the optical fiber cable 40 can be attached to and detached from the sensor head 20 and the controller 30, and may be an optical fiber with any of various lengths, thicknesses, and characteristics.
The display unit 31 is a liquid crystal display, an organic EL display, or the like, for example. The display unit 31 displays set values for the displacement sensor 10, the amount of light of return beams from the sensor head 20, and measurement results such as displacement of the measurement target T (distance to the measurement target T) measured by the displacement sensor 10.
The setting unit 32 allows a user to operate a mechanical button or a touch panel, for example, to configure settings necessary for measuring the measurement target T. Some or all of these necessary settings may be configured in advance, or may be configured from an externally connected device (not shown) that is connected to the external I/F unit 33. The externally connected device may be connected by wire or wirelessly via a network.
Here, the external I/F unit 33 is constituted by, for example, Ethernet (registered trademark), RS232C, analog output, or the like. The external I/F unit 33 may be connected to another connection device so that necessary settings are configured from the externally connected device, and may also output the results of measurement performed by the displacement sensor 10 to the externally connected device, for example.
Further, settings necessary for measuring the measurement target T may also be configured by the controller 30 retrieving data stored in the external storage unit 35. The external storage unit 35 is an auxiliary storage device such as a USB (Universal Serial Bus) memory. Settings or the like necessary for measuring the measurement target T are stored therein in advance.
The measurement processing unit 36 in the controller 30 includes, for example, a wavelength-swept light source that projects a light beam while continuously varying the wavelength, light-receiving elements that receive return beams from the sensor head 20 and convert the received beams to an electrical signal, a signal processing circuit that processes the electrical signal, and the like. The measurement processing unit 36 performs various processes using a controller, a storage, and the like based on return beams from the sensor head 20 so that the displacement of the measurement target T (distance to the measurement target T) is ultimately calculated. The details of the processing will be described later.
In step S11, the sensor head 20 is installed. For example, a guide beam is radiated from the sensor head 20 toward the measurement target T, and the sensor head 20 is installed at an appropriate position while referencing the radiated guide light.
Specifically, the amount of light of return beams received from the sensor head 20 may be displayed in the display unit 31 in the controller 30. The user may also adjust the orientation of the sensor head 20, the distance (height position) to the measurement target T, or the like while checking the amount of received light. Basically, if the light beam from the sensor head 20 is radiated more vertically (at an angle closer to vertical) relative to the measurement target T, the amount of light of reflected beams from the measurement target T becomes larger, and the amount of light of return beams received from the sensor head 20 also becomes larger.
The objective lens 21 may also be replaced with one having an appropriate focal length in accordance with the distance between the sensor head 20 and the measurement target T.
If appropriate settings cannot be configured (e.g., a necessary amount of received light for measurement cannot be obtained, or the focal length of the objective lens 21 is inappropriate etc.) when the measurement target T is measured, the user may be notified by displaying an error message, an incomplete setting message, or the like in the display unit 31 or outputting such a message to the externally connected device.
In step S12, various measurement conditions are set to measure the measurement target T. For example, the user sets unique calibration data (function etc. for correcting linearity) that the sensor head 20 has by operating the setting unit 32 in the controller 30.
Various parameters may also be set. For example, the sampling time, the measurement range, a threshold for determining whether to regard measurement results as normal or abnormal, or the like are set. Further, a measurement period may be set in accordance with characteristics of the measurement target T, such as the reflectance and material of the measurement target T, and a measurement mode or the like corresponding to the material of the measurement target T may also be set.
Note that these measurement conditions and various parameters are set by operating the setting unit 32 in the controller 30, but may alternatively be set from the externally connected device or may be set by retrieving data from the external storage unit 35.
In step S13, the measurement target T is measured with the sensor head 20 installed in step S11 in accordance with the measurement conditions and various parameters that are set in step S12.
Specifically, in the measurement processing unit 36 in the controller 30, the wavelength-swept light source projects a light beam, the light-receiving elements receive return beams from the sensor head 20, the signal processing circuit performs, for example, frequency analysis, distance conversion, peak detection, and the like to calculate displacement of the measurement target T (distance to the measurement target T). The details of specific measurement processing will be described later.
In step S14, the result of measurement in step S13 is output. For example, the displacement of the measurement target T (distance to the measurement target T) or the like measured in step S13 is displayed in the display unit 31 in the controller 30 or output to the externally connected device.
In addition, whether the displacement of the measurement target T (distance to the measurement target T) measured in step S13 is in a normal range or is abnormal based on the threshold set in step S12 may also be displayed or output as a measurement result. Furthermore, the measurement conditions, various parameters, the measurement mode, or the like that are set in step S12 may also be displayed or output together.
Overview of System that Includes Displacement Sensor
The displacement sensor 10 measures displacement of the measurement target T (distance to the measurement target T), as described with reference to
The control device 11 is a PLC (Programmable Logic Controller), for example, and gives the displacement sensor 10 various instructions when the displacement sensor 10 measures the measurement target T.
For example, the control device 11 may output a measurement timing signal to the displacement sensor 10 based on an input signal from the control signal input sensor 12 connected to the control device 11, and may also output a zero-reset command signal (a signal for setting a current measurement value to 0) or the like to the displacement sensor 10.
The control signal input sensor 12 outputs, to the control device 11, an on/off signal to indicate the timing for the displacement sensor 10 to measure the measurement target T. For example, the control signal input sensor 12 may be installed near a production line in which the measurement target T moves, and may output the on/off signal to the control device 11 in response to detecting that the measurement target T has moved to a predetermined position.
The externally connected device 13 is a PC (Personal Computer), for example. The user can configure various setting to the displacement sensor 10 by operating the externally connected device 13.
As an example, the measurement mode, the work mode, the measurement period, the material of the measurement target T, and the like are set.
An “internally synchronized measurement mode”, in which measurement periodically starts within the control device 11, or an “externally synchronized measurement mode”, in which measurement starts in response to an input signal from outside the control device 11, or the like can be selected as a setting of the measurement mode.
An “operation mode”, in which the measurement target T is actually measured, an “adjustment mode”, in which measurement conditions for measuring the measurement target T are set, or the like can be selected as a work mode setting.
The “measurement period” refers to a period for measuring the measurement target T and may be set in accordance with the reflectance of the measurement target T. Even if the measurement target T has a low reflectance, the measurement target T can be appropriately measured by lengthening the measurement period to set an appropriate measurement period.
As a mode for the measurement target T, a “rough surface mode”, which is suitable when the components of the reflected beam reflected from the measurement target T include a relatively large diffuse reflection, a “specular mode”, which is suitable when the components of the reflected beam include a relatively large specular reflection, an intermediate “standard mode”, or the like can be selected.
Thus, the measurement target T may be measured with higher accuracy by configuring appropriate settings in accordance with the reflectance and material of the measurement target T.
In step S21, the sensor system 1 detects the measurement target T, which is an object to be measured. Specifically, the control signal input sensor 12 detects that the measurement target T has moved to a predetermined position on a production line.
In step S22, the sensor system 1 gives an instruction to measure the measurement target T detected in step S21, with use of the displacement sensor 10. Specifically, the control signal input sensor 12 indicates the timing of measuring the measurement target T detected in step S21 by outputting an on/off signal to the control device 11. The control device 11 outputs a measurement timing signal to the displacement sensor 10 based on the on/off signal to give an instruction to measure the measurement target T.
In step S23, the displacement sensor 10 measures the measurement target T. Specifically, the displacement sensor 10 measures the measurement target T based on the measurement instruction received in step S22.
In step S24, the sensor system 1 outputs the result of measurement in step S23. Specifically, the displacement sensor 10 causes the display unit 31 to display the result of measurement processing, and/or outputs the result to the control device 11, the externally connected device 13, or the like via the external I/F unit 33.
Note that the above description has been given, with reference to
Next, a description will be given of the principle by which the displacement sensor 10 according to the present disclosure measures the measurement target T.
The wavelength-swept light source 51 projects a wavelength-swept laser beam. The wavelength-swept light source 51 can be realized at low cost by, for example, applying a method of modulating a VCSEL (Vertical Cavity Surface Emitting Laser) with current since mode hopping is unlikely to occur due to a short resonator length, and the wavelength can be easily varied.
The optical amplifier 52 amplifies the beam projected from the wavelength-swept light source 51. The optical amplifier 52 is an EDFA (erbium-doped fiber amplifier), for example, and may be an optical amplifier dedicated to 1550 nm, for example.
The isolator 53 is an optical element through which an incident light beam is unidirectionally transmitted, and may immediately follow the wavelength-swept light source 51 in order to prevent the effect of noise generated by return beams.
Thus, the light beam projected from the wavelength-swept light source 51 is amplified by the optical amplifier 52, passes through the isolator 53, and is split into beams proceeding to a main interferometer and a secondary interferometer by the optical coupler 54. For example, the optical coupler 54 may split the light beam into the beams proceeding to the main and secondary interferometers at a ratio of 90:10 to 99:1.
The light beam that is split and proceeds to the main interferometer is further split into a beam in a direction toward the sensor head 20 and a beam in a direction toward the second-stage optical coupler 54b by the first-stage optical coupler 54a.
The light beam that is split in the direction toward the sensor head 20 by the first-stage optical coupler 54a passes through the collimating lens 22a and the objective lens 21 from the leading end of an optical fiber cable in the sensor head 20, and is radiated toward the measurement target T. Then, a light beam reflected at a reference surface, which is the leading end (end face) of the optical fiber cable, interferes with a light beam reflected at the measurement target T, and an interference beam is generated. The generated interference beam returns to the first-stage optical coupler 54a, and is thereafter received by the light-receiving element 56a and converted into an electrical signal.
The light beam that is split in the direction toward the second-stage optical coupler 54b by the first-stage optical coupler 54a proceeds toward the second-stage optical coupler 54b via the isolator 53a, and is further split in a direction toward the sensor head 20 and a direction toward the third-stage optical coupler 54c by the second-stage optical coupler 54b. The light beam that is split in the direction toward the sensor head 20 from the optical coupler 54b passes through the collimating lens 22b and the objective lens 21 from the leading end of an optical fiber cable in the sensor head 20, as with the first stage, and is radiated toward the measurement target T. Then, a light beam reflected at a reference surface, which is the leading end (end face) of the optical fiber cable, interferes with a light beam reflected at the measurement target T, and an interference beam is generated. The generated interference beam returns to the second-stage optical coupler 54b, and is split into beams in a direction toward the isolator 53a and a direction toward the light-receiving element 56b by the optical coupler 54b. The light beam that is split in the direction toward the light-receiving element 56b from the optical coupler 54b is received by the light-receiving element 56b and converted into an electrical signal. Meanwhile, the isolator 53a is configured to transmit a light beam from the previous-stage optical coupler 54a toward the latter-stage optical coupler 54b and cut off a light beam from the latter-stage optical coupler 54b toward the previous-stage optical coupler 54a. Therefore, the beam split in the direction toward the isolator 53a from the optical coupler 54b is cut off.
The light beam that is split in the direction toward the third-stage optical coupler 54c by the second-stage optical coupler 54b proceeds toward the third-stage optical coupler 54c via the isolator 53b, and is further split in the direction toward the sensor head 20 and a direction toward the attenuator 55 by the third-stage optical coupler 54c. The light beam that is split in the direction toward the sensor head 20 from the optical coupler 54c passes through the collimating lens 22c and the objective lens 21 from the leading end of an optical fiber cable in the sensor head 20, as with the first and second stages, and is radiated toward the measurement target T. Then, a light beam reflected at the reference surface, which is the leading end (end face) of the optical fiber cable, interferes with a light beam reflected at the measurement target T, and an interference beam is generated. The generated interference beam returns to the third-stage optical coupler 54c, and is split into beams in a direction toward the isolator 53b and a direction toward the light-receiving element 56c by the optical coupler 54c. The light beam that is split in the direction toward the light-receiving element 56c from the optical coupler 54c is received by the light-receiving element 56c and converted into an electrical signal. Meanwhile, the isolator 53b is configured to transmit a light beam from the previous-stage optical coupler 54b toward the latter-stage optical coupler 54c and cut off a light beam from the latter-stage optical coupler 54c toward the previous-stage optical coupler 54b. Therefore, the beam split in the direction toward the isolator 53b from the optical coupler 54c is cut off.
Note that the light beam that is split in a direction other than the direction toward the sensor head 20 by the third-stage optical coupler 54c is not used to measure the measurement target T. Therefore, it may be favorable to attenuate the light beam with the attenuator 55, which is a terminator or the like, so as not to be reflected and returned.
Thus, the main interferometer is an interferometer that has three stages of optical paths (three channels) each having an optical path length difference that is twice (round trip) the distance from the leading end (end face) of the optical fiber cable of the sensor head 20 to the measurement target T, and three interference beams corresponding to respective optical path length differences are generated.
The light-receiving elements 56a to 56c receive the interference beams from the main interferometer and generate electrical signals in accordance with the amount of light of the light beams received, as mentioned above.
The amplifier circuits 57a to 57c amplify the electrical signals output from the light-receiving elements 56a to 56c, respectively.
The AD conversion units 58a to 58c receive the electrical signals from the respective amplifier circuits 57a to 57c and convert these electrical signals from analog signals to digital signals (AD conversion). Here, the AD conversion units 58a to 58c perform AD conversion based on a correction signal from the correction signal generation unit 61 of the secondary interferometer.
The secondary interferometer obtains the interference signal in order to correct wavelength nonlinearities during the sweep with the wavelength-swept light source 51, and generates a correction signal called a K-clock.
Specifically, the light beam that is split and proceeds to the secondary interferometer by the optical coupler 54 is further split by the optical coupler 54d. Here, the optical paths of the split light beams are configured to have an optical path length difference using optical fiber cables with different lengths between the optical couplers 54d and 54e, and an interference beam corresponding to the optical path length difference is output from the optical coupler 54e, for example. The balance detector 60 receives the interference beam from the optical coupler 54e, and amplifies the optical signal and converts it to an electrical signal while removing noise by taking a difference from a signal of the opposite phase.
Note that the optical coupler 54d and the optical coupler 54e may split the light beam at a ratio of 50:50.
The correction signal generation unit 61 ascertains the wavelength nonlinearities during the sweep with the wavelength-swept light source 51 based on the electrical signal from the balance detector 60, generates a K-clock corresponding to the nonlinearities, and outputs the generated K-clock to the AD conversion units 58a to 58c.
Due to the wavelength nonlinearities during the sweep with the wavelength-swept light source 51, the wave intervals of the analog signals input to the AD conversion units 58a to 58c from the main interferometer are not equal. The AD conversion units 58a to 58c performs AD conversion (sampling) while correcting the sampling time based on the aforementioned K-clock so that the wave intervals are equal intervals.
Note that the K-clock is a correction signal used to sample the analog signal of the main interferometer, as mentioned above. Therefore, the K-clock needs to be generated so as to have a higher frequency than the analog signal of the main interferometer. Specifically, the optical path length difference provided between the optical coupler 54d and the optical coupler 54e in the secondary interferometer may be longer than optical path length differences between the leading ends (end faces) of the optical fiber cables in the main interferometer and the measurement target T. Alternatively, the correction signal generation unit 61 may increase the frequency by multiplication (e.g., by a factor of 8, etc.).
The processing unit 59 obtains the digital signals that have been subjected to AD conversion with its nonlinearities corrected respectively by the AD conversion units 58a to 58c, and calculates displacement of the measurement target T (distance to the measurement target T) based on the digital signal. Specifically, the processing unit 59 performs frequency conversion on the digital signal using fast Fourier transform (FFT), and calculates the distance by analyzing them. The details of processing at the processing unit 59 will be described later.
Note that the processing unit 59 is required to perform high-speed processing, and is therefore realized by an integrated circuit such as an FPGA (field-programmable gate array) in many cases.
Also, here, three stages of optical paths are provided in the main interferometer. The sensor head 20 radiates measurement beams from the respective optical paths toward the measurement target T, and the distance to the measurement target T, for example, is measured based on interference beams (return beams) obtained from the respective optical paths (multichannel). The number of channels in the main interferometer is not limited to three, and may alternatively be one or two, or may be four or more.
The light beam projected from the wavelength-swept light source 51 is amplified by the optical amplifier 52, and is split into a beam proceeding to the main interferometer side and a beam proceeding to the secondary interferometer side by the optical coupler 54 via the isolator 53. The light beam that is split and proceeds to the main interferometer side is further split into a measurement beam and a reference beam by the optical coupler 54f.
The measurement beam is caused to pass through the collimating lens 22a and the objective lens 21 by the first-stage coupler 54a and radiated to the measurement target T, and is reflected at the measurement target T, as described with reference to
Similarly, the light beam that is split in the direction toward the second-stage optical coupler 54b from the first-stage optical coupler 54a is caused to pass through the collimating lens 22b and the objective lens 21 by the second-stage optical coupler 54b and radiated toward the measurement target T, and is reflected at the measurement target T and returns to the second-stage optical coupler 54b. The light beam that is split in the direction toward the third-stage optical coupler 54c from the second-stage optical coupler 54b is caused to pass through the collimating lens 22c and the objective lens 21 by the third-stage optical coupler 54c and radiated toward the measurement target T, and is reflected at the measurement target T and returns to the third-stage optical coupler 54c.
Meanwhile, the reference beam split by the optical coupler 54f is further split into beams proceeding to the optical couplers 54h, 54i, and 54j by the optical coupler 54g.
In the optical coupler 54h, the measurement beam that has been reflected at the measurement target T and output from the optical coupler 54a interferes with the reference beam output from the optical coupler 54g, and an interference beam is generated. The interference beam is received by the light-receiving element 56a and converted into an electrical signal. In other words, a light beam is split into the measurement beam and the reference beam by the optical coupler 54f, an interference beam is generated in correspondence with the optical path length difference between the optical path of the measurement beam (an optical path in which the light beam from the optical coupler 54f is reflected at the measurement target T via the optical coupler 54a, the collimating lens 22a and the objective lens 21 and reaches the optical coupler 54h) and the optical path of the reference beam (an optical path in which the light beam from the optical coupler 54f reaches the optical coupler 54h via the optical coupler 54g). The interference beam is received by the light-receiving element 56a and converted into an electrical signal.
Similarly, in the optical coupler 54i, an interference beam is generated in correspondence with the optical path length difference between the optical path of the measurement beam (an optical path in which the light beam from the optical coupler 54f is reflected at the measurement target T via the optical couplers 54a and 54b, the collimating lens 22b, and the objective lens 21 and reaches the optical coupler 54i) and the optical path of the reference beam (an optical path in which the light beam from the optical coupler 54f reaches the optical coupler 54i via the optical coupler 54g). The interference beam is received by the light-receiving element 56b and converted into an electrical signal.
In the optical coupler 54j, an interference beam is generated in correspondence with the optical path length difference between the optical path of the measurement beam (an optical path in which the light beam from the optical coupler 54f is reflected at the measurement target T via the optical couplers 54a, 54b, and 54c, the collimating lens 22c, and the objective lens 21 and reaches the optical coupler 54j) and the optical path of the reference beam (an optical path in which the light beam from the optical coupler 54f reaches the optical coupler 54j via the optical coupler 54g). The interference beam is received by the light-receiving element 56c and converted into an electrical signal. Note that the light-receiving elements 56a to 56c may be balance photodetectors, for example.
Thus, the main interferometer has three stages of optical paths (three channels), and generates three interference beams corresponding to the respective optical path length differences between the measurement beams that are reflected at the measurement target T and input to the optical couplers 54h, 54i, and 54j and the reference beams that are input to the optical couplers 54h, 54i, and 54j via the optical couplers 54f and 54g.
Note that the optical path length difference between a measurement beam and a reference beam may also be set so as to be different among the three channels. For example, the optical path lengths from the optical coupler 54g may be different among the optical couplers 54h, 54i, and 54j.
The distance to the measurement target T or the like is measured based on the interference beams obtained from respective optical paths (multichannel).
Here, a structure of the sensor head used in the displacement sensor 10 will be described.
In the sensor head 20, the objective lens 21 and the collimating lenses are accommodated in a lens holder 23, as shown in
As shown in
Thus, the optical fibers, the collimating lenses 22a to 22c, and the optical fiber array 24 are held together with the objective lens 21 by the lens holder 23 and constitute the sensor head 20.
The lens holder 23 that constitutes the sensor head 20 may be made of a metal (e.g., A2017) that has high strength and can be processed with high accuracy.
In the controller 30, the light beam projected from the wavelength-swept light source 51 is split into a beam proceeding to the main interferometer and a beam proceeding to the secondary interferometer by the optical coupler 54, and the value of the distance to the measurement target T is calculated by processing main interference signals and secondary interference signals obtained respectively from the main and secondary interferometers, as illustrated in
The plurality of light-receiving elements 71a to 71c correspond to the light-receiving elements 56a to 56c shown in
The plurality of amplifier circuits 72a to 72c convert the current signals to voltage signals (I-V conversion) and amplify these signals.
The plurality of AD conversion units 74a to 74c correspond to the AD conversion units 58a to 58c shown in
The processing unit 75 corresponds to the processing unit 59 shown in
The plurality of light-receiving elements 71d to 71e and the differential amplifier circuit 76, which correspond to the balance detector 60 shown in
The correction signal generation unit 77 corresponds to the correction signal generation unit 61 shown in
In step S31, the processing unit 59 performs frequency conversion on a time domain signal (voltage vs time) into a spectrum (voltage vs frequency) by means of the following FFT.
In step S32, the processing unit 59 performs distance conversion on the spectrum (voltage vs frequency) into a spectrum (voltage vs distance).
In step S33, the processing unit 59 calculates distance values corresponding to peaks based on the spectrum (voltage vs distance).
In step S34, the processing unit 59 averages the distance values calculated in step S33. Specifically, the processing unit 59 averages the distance values, which have been calculated in correspondence with the peaks detected based on the spectrum (voltage vs distance) in the three channels in step S33, and outputs the averaging result as the distance to the measurement target T.
It may be preferable that in step S34, when averaging the distance values calculated in step S33, the processing unit 59 averages distance values only for peaks whose SNR is greater than or equal to a threshold. If, for example, a peak is detected in any of the three channels based on the spectrum (voltage vs distance) but the SNR is smaller than the threshold, it is determined that the distance value calculated based on the spectrum is not reliable and is therefore not used.
Next, a specific embodiment of the present disclosure will be described in detail, focusing on more characteristic configurations, functions, and properties.
Note that the following optical interference range sensor corresponds to the displacement sensor 10 described with reference to
The wavelength-swept light source 110 is connected to a splitting unit 121 of the interferometer 120 and projects a light beam while continuously varying the wavelength. The wavelength-swept light source 110 uses a predetermined sweep frequency pattern when projecting a light beam. The predetermined sweep frequency pattern includes a first sweep frequency pattern and a second sweep frequency pattern. The details of the sweep frequency patterns will be described later.
The interferometer 120 includes the splitting unit 121 and a sensor head 122. The splitting unit 121 splits an input light beam into a plurality of optical paths, and the split light beams are guided to the sensor head 122 via respective optical fiber cables. The sensor head 122 includes collimating lenses 123a to 123c arranged for respective optical paths, as shown in
The splitting unit 121 splits the input light beam projected from the wavelength-swept light source 110 into beams with optical paths A to C and outputs the split light beams so as to radiate these light beams toward a plurality of (here, three) spots on the measurement target T. The splitting unit 121 may be an optical coupler or the like, for example.
The light beam that is split into the optical path A serves as a measurement beam, passes through the collimating lens 123a and the objective lens 124 via an optical fiber cable, and is radiated toward the measurement target T and reflected at the measurement target T. The reflected beam (first reflected beam) that has been reflected at the measurement target T returns to the splitting unit 121 from the leading end of the optical fiber through the objective lens 124 and the collimating lens 123a.
Also, the light beam that is split into the optical path A serves as a measurement beam and is radiated toward the measurement target T via an optical fiber cable, but a part of the light beam serves as a reference beam and is reflected at a reference surface. Here, the leading end of the optical fiber cable serves as the reference surface, and the reflected beam (second reflected beam) reflected at the reference surface returns to the splitting unit 121 via the optical fiber cable.
Here, regarding the light beams output from the splitting unit 121 to the optical fiber cable in the optical path A, the measurement beam is radiated toward the measurement target T and returns as the first reflected beam to the splitting unit 121 via the optical fiber cable, and the reference beam returns as the second reflected beam, which is reflected at the reference surface that is the leading end of the optical fiber cable, to the splitting unit 121 via the optical fiber cable. Therefore, an interference beam is generated in accordance with an optical path length difference between the measurement beam and the reference beam. In other words, the optical path length difference is the round-trip distance from the leading end of the optical fiber cable in the optical path A to the measurement target T. The interferometer 120 generates a first interference beam by interference between the first and second reflected beams, and the generated interference beam serves as a return beam to the splitting unit 121. Note that both the optical path lengths of the measurement beam and the reference beam may have values that are obtained by multiplying the spatial length of the optical path by a refractive index.
Similarly, the light beam that is split into the optical path B serves as a measurement beam, passes through the collimating lens 123b and the objective lens 124 via an optical fiber cable, and is radiated toward the measurement target T and reflected at the measurement target T. The reflected beam (first reflected beam) that has been reflected at the measurement target T returns to the splitting unit 121 from the leading end of the optical fiber through the objective lens 124 and the collimating lens 123b. A part of the light beam that is split into the optical path B serves as a reference beam and is reflected at a reference surface that is the leading end of the optical fiber cable. The reflected beam (second reflected beam) reflected at the reference surface returns to the splitting unit 121 via the optical fiber cable.
Accordingly, an interference beam is generated in accordance with an optical path length difference between the measurement beam and the reference beam of the light beam output from the splitting unit 121 to the optical fiber cable in the optical path B. In other words, the optical path length difference is the round-trip distance from the leading end of the optical fiber cable in the optical path B to the measurement target T. The interferometer 120 generates a second interference beam by interference between the first and second reflected beams, and the generated interference beam serves as a return beam to the split unit 121.
Similarly, the light beam that is split into the optical path C serves as a measurement beam, passes through the collimating lens 123c and the objective lens 124 via an optical fiber cable, and is radiated toward the measurement target T and reflected at the measurement target T. The reflected beam (first reflected beam) that has been reflected at the measurement target T returns to the splitting unit 121 from the leading end of the optical fiber through the objective lens 124 and the collimating lens 123c. A part of the light beam that is split into the optical path C serves as a reference beam and is reflected at a reference surface that is the leading end of the optical fiber cable. The reflected beam (second reflected beam) reflected at this reference surface returns to the splitting unit 121 via the optical fiber cable.
Accordingly, an interference beam is generated in accordance with an optical path length difference between the measurement beam and the reference beam of the light beam output from the splitting unit 121 to the optical fiber cable in the optical path C. In other words, the optical path length difference is the round-trip distance from the leading end of the optical fiber cable in the optical path C to the measurement target T. The interferometer 120 generates a third interference beam by interference between the first and second reflected beams, and the generated interference beam serves as a return beam to the splitting unit 121.
Thus, the input light beam projected from the wavelength-swept light source 110 is split by the splitting unit 121. In the optical paths A to C of the split beams, a first interference beam, a second interference beam, and a third interference beam are generated that depend on the optical path length differences between the measurement beams radiated toward respective spots on the measurement target T and the reference beams reflected at the reference surfaces that are the leading ends of the respective optical fiber cables in the optical paths A to C. The interferometer 120 outputs these interference beams as return beams to the light-receiving unit 130.
The light-receiving units 130a to 130c have light-receiving elements 131a to 131c and AD conversion units 132a to 132c, respectively. The light-receiving elements 131a to 131c, which are, for example, photodetectors, receive light beams output from respective branches a to c, which are output ports of the splitting unit 121, and convert the received light beams to electrical signals. The AD conversion units 132a to 132c convert these electrical signals from analog signals to digital signals.
The light-receiving units 130a to 130c correspond respectively to the optical paths A to C and receive light beams output from the respective branches a to c of the splitting unit 121.
The first interference beam generated in the optical path A is split at a predetermined split ratio by an optical coupler or the like of the splitting unit 121, and is then output. The light-receiving unit 130a receives a light beam output from the branch a of the splitting unit 121, generates a digital signal based on the received light beam, and supplies the generated digital signal to the processing unit 150.
The second interference beam generated in the optical path B is split at a predetermined split ratio by an optical coupler or the like of the splitting unit 121, and is then output. The light-receiving unit 130b receives a light beam output from the branch b of the splitting unit 121, generates a digital signal based on the received light beam, and supplies the generated digital signal to the processing unit 150.
The third interference beam generated in the optical path C is split at a predetermined split ratio by an optical coupler or the like of the splitting unit 121, and is then output. The light-receiving unit 130c receives a light beam output from the branch c of the splitting unit 121, generates a digital signal based on the received light beam, and supplies the generated digital signal to the processing unit 150.
The processing unit 150 measures the distance to the measurement target T based on the digital signals converted by the light-receiving units 130a to 130c. The processing unit 150 is, for example, a processor that includes an integrated circuit such as a CPU (Central Processing Unit), a DSP (Digital Signal Processor), an ASIC (Application Specific Integrated Circuit), a PLD (Programmable Logic Device), an FPGA (Field Programmable Gate Array), or an SoC (System-on-a-Chip).
The storage unit 140 stores distance information indicating the distance measured by the processing unit 150. Every time the processing unit 150 measures the distance, the storage unit 140 additionally stores corresponding distance information. Therefore, the storage unit 140 holds distance information indicating previously measured distances for multiple past measurements. The storage unit 140 stores program, data, and the like, and is connected to the processing unit 150 in an accessible (readable and writable) manner. The storage unit 140 is, for example, a memory that includes a ROM (Read Only Memory), an EPROM (Erasable Programmable ROM), an EEPROM (Electrically Erasable Programmable ROM), a RAM (Random Access Memory), a cache memory, and/or a buffer memory.
The processing unit 150 also includes as functional blocks a frequency conversion unit 151, a distance conversion unit 152, and an average distance value calculation unit 153.
The frequency conversion unit 151 converts an electrical signal converted by the light-receiving unit 130 to a frequency spectrum. For example, a digital signal from the AD conversion unit 132 of the light-receiving unit 130 is converted to a frequency spectrum through FFT, as shown in
The distance conversion unit 152 converts the frequency spectrum converted by the frequency conversion unit 151 to a distance. For example, a peak frequency in the frequency spectrum, which is a signal of frequency and voltage, is converted to a corresponding distance, as shown in
The average distance value calculation unit 153 calculates an average distance value based on the measured distance, and first distance information indicating a distance based on a light beam projected using the first sweep frequency pattern, and second distance information indicating a distance based on a light beam projected using the second sweep frequency pattern, of the past distance information regarding multiple measurements stored in the storage unit 140. The average distance value is a value calculated by averaging at least three distances, namely the measured distance, the distance indicated by the first distance information, and the distance indicated by the second distance information. Note that the details of the distance indicated by the first distance information and the distance indicated by the second distance information will be described later.
Specifically, the average distance value calculation unit 153 calculates an average distance value based on a first average value of the measured distance and the distance indicated by the first distance information stored in the storage unit 140, and a second average value of the distance indicated by the first distance information and the distance indicated by the second distance information stored in the storage unit 140. Accordingly, the average distance value is calculated by averaging at least four distances, namely the measured distance, the distance indicated by the first distance information, the distance indicated by the first distance information, and the distance indicated by the second distance information.
The frequency continuously varied by the wavelength-swept light source 110 is generally called “sweep frequency”. A periodic pattern (waveform) of the sweep frequency when varied over time is called a “sweep frequency pattern”. As shown in
The first sweep frequency pattern is a pattern that increases the sweep frequency over time, for example. Meanwhile, the second sweep frequency pattern is a pattern that decreases the sweep frequency over time, for example. Accordingly, the first sweep frequency pattern is an up-chirp signal, the second sweep frequency pattern is a down-chirp signal, and the sweep frequency signal in the wavelength-swept light source 110 is a chirp signal (which is also called a “sweep signal”). The structure may enable the interferometer 120 to easily generate an interference beam corresponding to the optical path length difference between the measurement beam and the reference beam.
The periods of the first sweep frequency pattern and the second sweep frequency pattern are both 50 μs. The wavelength-swept light source 110 alternately uses the first sweep frequency pattern and the second sweep frequency pattern. The structure may alternatively make long and short the swept wavelength of the light beam projected from the wavelength-swept light source 110.
In the period from −50 μs to 0 μs, the wavelength-swept light source 110 projects a light beam using the first sweep frequency pattern that continuously increases the sweep frequency (wavelength). The interferometer 120 generates an interference beam from the light beam, and the light-receiving unit 130 receives the generated interference beam and converts the received beam to an electrical signal. The processing unit 150 measures a distance d0 to the measurement target T based on the electrical signal at the point 0 μs or immediately after the point 0 μs on the time axis. That is, the distance d0 is measured based on the light beam in the first sweep frequency pattern. Distance information indicating the measured distance d0 is added to and stored in the storage unit 140. The distance do indicates the current distance measured at the point 0 μs on the time axis, i.e., at the current point in time.
In the period from −100 μs to −50 μs, the wavelength-swept light source 110 projects a light beam using the second sweep frequency pattern that continuously decreases the sweep frequency (wavelength). The interferometer 120 generates an interference beam from the light beam, and the light-receiving unit 130 receives the generated interference beam and converts the received beam to an electrical signal. The processing unit 150 measures a distance to the measurement target T based on the electrical signal at the point −50 μs or immediately after the point −50 μs on the time axis. That is, the distance is measured based on the light beam in the second sweep frequency pattern. Information indicating the measured distance is added to and stored in the storage unit 140. The information indicating the distance is one example of the aforementioned first distance information.
In the period from −150 μs to −100 μs, the wavelength-swept light source 110 projects a light beam using the first sweep frequency pattern that continuously increases the sweep frequency (wavelength). The interferometer 120 generates an interference beam from the light beam, and the light-receiving unit 130 receives the generated interference beam and converts the received beam to an electrical signal. The processing unit 150 measures a distance d−2 to the measurement target T based on the electrical signal at the point −100 μs or immediately after the point −100 μs on the time axis. That is, the distance d−2 is measured based on the light beam in the first sweep frequency pattern. Distance information indicating the measured distance d−2 is added to and stored in the storage unit 140. The distance information indicating the distance d−2 is one example of the aforementioned second distance information.
Thus, the first distance information indicates the past distance once before the current measured distance, and the second distance information indicates the past distance d−2 twice before the current measured distance. The structure may enable the average distance value to be easily calculated based on the distances d0, d−1 and d−2 obtained in the recent three measurements, including the current distance d0 (at the current point in time).
Similarly, a distance d−3 based on the light beam in the second sweep frequency pattern is measured at the point −150 μs or immediately after the point −150 μs on the time axis. A distance d−4 based on the light beam in the first sweep frequency pattern is measured at the point −200 μs or immediately after the point −200 μs on the time axis. A distance d−5 based on the light beam in the second sweep frequency pattern is measured at the point −250 μs or immediately after the point −250 μs on the time axis. Distance information indicating the measured distances d−2 to d−5 is added to and stored in the storage unit 140. Note that the distance information indicating the distance is another example of the aforementioned first distance information. The distance information indicating the distance d−3 and the distance information indicating the distance d−5 are other examples of the aforementioned second distance information.
The distance d0 is stored as information indicating the current distance (at the current point in time) and readable at the point 0 μs on the time axis. The distances to d−5 are stored as information indicating past distances obtained in multiple measurements and are readable at the point 0 μs on the time axis.
Note that
Next, the following is a description of the average distance value calculated by the average distance value calculation unit 153 of the processing unit 150 when the distance to the measurement target T is changing with acceleration. The following description takes an example where the measurement target T is a vibrating object that vibrates at a predetermined frequency of, e.g., 120 Hz.
When the distance to the measurement target T changes with acceleration, if the average distance value that is an average of the current distance and the distance once before the current distance is calculated as the hypothetical optical interference range sensor does, the distance significantly fluctuates over time despite averaging, as indicated by the broken lines in
The phenomenon may be explained as follows. That is, the current distance d0 calculated at the point 0 μs on the time axis is expressed by the following equation EQ (1).
d
0
=d−w*(v0+a*(0*Δt)) EQ (1)
Here, the variables are as follows.
The past distance once before the current distance is expressed by the following equation EQ (2), using the same variables.
=d−1=d−Δd+w*(v0+a*(1*Δt)) EQ (2)
Note that the past distance once before the current distance originally includes the term (Δt)2. However, the term takes a very small, negligible value, and is therefore omitted in the equation EQ (2).
As a result, the average distance value dav′ calculated by the hypothetical optical interference range sensor can be expressed by the following equation (3), using the equations EQ (1) and EQ (2).
d
av
′=d−Δd/2+w*a*Δt/2 EQ (3)
The term w*a*Δt/2 in the equation EQ (3) can be considered to correspond to the shifting (fluctuation) component in
In contrast, in the optical interference range sensor 100 of the present embodiment, the average distance value calculation unit 153 of the processing unit 150 calculates the above-described average distance value. Specifically, the average distance value calculation unit 153 calculates the average distance value day based on a first average value dav1 of the measured current distance d0 and the distance indicated by the first distance information, and a second average value dav2 of the distance indicated by the first distance information and the distance indicated by the second distance information. In the following example, the distance indicated by the first distance information is the past distance d−1 once before the current distance, and the distance indicated by the second distance information is the past distance d−2 twice before the current distance.
The first average value dav1 of the current distance d0 and the past distance d−1 once before the current distance is expressed by the following equation EQ (4).
d
av1=(d0+d−1)/2 EQ (4)
The second average value dav2 of the past distance once before the current distance and the past distance d−2 twice before the current distance is expressed by the following equation EQ (5).
d
av2=(d−1+d−2)/2 EQ (5)
The average distance value dav calculated by the average distance value calculation unit 153 is expressed by the following equation EQ (6), using the equations EQ (4) and EQ (5).
d
av=(dav1+dav2)/2=(d0+2*d−1+d−2)/4 EQ (6)
Here, the past distance d−2 twice before the current distance is expressed by the following equation EQ (7), using the same variables as the above-described variables.
d
−2
=d−2*Δd−w*(v0+a*(2*Δt)) EQ (7)
Accordingly, the average distance value dav calculated by the average distance value calculation unit 153 is expressed by the following equation EQ (8), using the equations EQ (6), EQ (1), EQ (2), and EQ (7).
d
av
=d−Δd EQ (8)
As is clear from the equation EQ (8), the average distance value dav does not include a term corresponding to the shifting (fluctuation) component that exists in the average distance value dav′ of the hypothetical optical interference range sensor. As a result, fluctuations occurring over time can be reduced in the distance corresponding to the average distance value dav compared to the hypothetical optical interference range sensor, as indicated by the thick lines in
As described above, the average distance value is calculated based on the measured distance, the first distance information indicating the distance based on a light beam projected using the first sweep frequency pattern, and the second distance information indicating the distance based on a light beam projected using the second sweep frequency pattern, of the past distance information regarding multiple measurements stored in the storage unit 140. The structure may reduce shifts (fluctuation) dependent on the acceleration that have occurred in the conventional method in the case where, for example, the distance to the measurement target T, such as a vibrating object, changes with acceleration. Accordingly, using the average distance value enables highly accurate measurement of the distance to the measurement target T that changes with acceleration.
One or more embodiments have described, as an example, a case in which calculating the average distance value may be based on the measured distance d0 and two past distances, namely the distance indicated by the first distance information and the distance indicated by the second distance information. However, calculating an average distance in the above-described manner need not be the case. If a speedup is not necessary, the average distance value calculation unit 153 may alternatively calculate the average distance value also based on at least one piece of third distance information different from the first and second distance information, of the past distance information regarding multiple measurements stored in the storage unit 140.
Accordingly, the average distance value dav is calculated using the following equation EQ (9), for example.
d
av=(d0+d−1+d−3+d−4)/4 EQ (9)
Thus, the average distance value calculation unit 153 calculates the average distance value based on the measured distance d0, the first distance information, the second distance information, and at least one piece of third distance information different from the first and second distance information, of the past distance information regarding multiple measurements stored in the storage unit. The structure may reduce shifts (fluctuation) dependent on the acceleration.
Further, the average distance value dav is calculated based on the first average value dav1 of the measured distance d0 and the distance indicated by the first distance information, and the second average value dav2 of the distance indicated by the first distance information and the distance indicated by the second distance information. Therefore, the average distance value dav from which shifts (fluctuation) dependent on the acceleration have been reduced may be calculated more easily when the first and second sweep frequency patterns are alternately used.
Note that the distance indicated by the first distance information and the distance indicated by the second distance information are not limited to being the past distance once before the current distance and the past distance d−2 twice before the current distance, respectively. The average distance value dav calculated by the average distance value calculation unit 153 can be expressed as a superordinate concept by the following equation EQ (10), using the above equation EQ (6) and a positive integer k (k=1, 2, 3, . . . ).
d
av=(d0+2*d−(2k−1)+d−2(2k−1))/4 EQ (10)
Furthermore, the average distance value dav can be generalized as follows. That is, when the distance to the measurement target T changes with acceleration as mentioned above, the measured distance d includes terms of a Doppler constant w both at the present and in the past. Here, with attention given to terms D of the Doppler constant w, terms D0 to D−3 of the Doppler constant w that are included respectively in the distances d0 to d−3 are expressed by the following equations EQ (11) to EQ (14), respectively, with w*v0 denoting a constant α and w*a*Δt denoting a constant β.
D
0=−(α+0*β) EQ (11)
D
−1=+(α+1*β) EQ (12)
D
−2=−(α+2*β) EQ (13)
D
−3=+(α+3*β) EQ (14)
If the equations EQ (11) to EQ (14) are generalized using a natural number m that includes 0, the term Dm of the Doppler constant w is expressed by the following equation EQ (15).
D
−m=(−1)−m(mβ−α) EQ (15)
If the averaging for calculating the average distance value dav using the past distances eliminates the term Dm of the Doppler constant w, it is considered that the term of the Doppler constant w is not left in the average distance value dav as in the above equation EQ (8). Accordingly, a combination of natural numbers m that satisfies the following equation EQ (16) is obtained using the term Dm of the Doppler constant w.
D
−s
+D
−t
+D
−u+ . . . =0 EQ (16)
Here, the variables are as follows, s, t, u: Members of m
In an example, in the case of a combination of a term D−0 of the Doppler constant w in the current distance d0, a term D−1 of the Doppler constant w in the past distance d−1 once before the current distance, the term D−1 of the Doppler constant w in the past distance d−1 once before the current distance, and a term D−2 of the Doppler constant w in the past distance d−2 twice before the current distance, the sum of these terms, i.e., (D−0+D−1+D−1+D−2) satisfies the above equation EQ (16). Further, in the case of a combination of the term D−0 of the Doppler constant w in the current distance d0, the term D−1 of the Doppler constant w in the past distance once before the current distance, a term D−3 of the Doppler constant w in the past distance d−3 three times before the current distance, and a term D−4 of the Doppler constant w in the past distance d−4 four times before the current distance, the sum of these terms, i.e., (D−0+D−1+D−3+D−4) also satisfies the above equation EQ (16).
The average distance value dav from which shifts (fluctuation) dependent on the acceleration have been reduced may be calculated by thus eliminating the influence of the Doppler constant w.
One or more embodiments has described an example of calculating the average distance value dav by means of arithmetical mean to simplify the description, but the use of an arithmetical mean need not be the case. The average distance value dav may alternatively be calculated by means of an averaging method other than arithmetical mean, or the calculation thereof may also include subtraction.
For example, the average distance value dav can be calculated by means of root-mean-square. Specifically, the root-mean-square of the measured current distance d0 and the past distance once before the current distance, as well as the past distance d−1 once before the current distance and the past distance d−2 twice before the current distance is expressed by the following equation EQ (17), using the aforementioned constants α and β.
d
0
2+2d−12+d−22=4(d2−2Δd*d+Δd2)+2Δd2+4Δd*β+4α2+8α*β+6β2 EQ (17)
In equation EQ (17), the terms in the latter half, i.e., the terms Δd2, Δd*β, α2, α*β, and β2 take values sufficiently smaller than the term d2, and are therefore considered to be negligible. Accordingly, the above equation EQ (17) can be approximated to the following equation EQ (18).
d
0
2+2d−12+d−22≈4(d2−2Δd*d+Δd2)EQ(18)
Accordingly, the average distance value dav obtained by means of root-mean-square is expressed by the following equation EQ (19).
d
av={(d02+2d−12+d−22)/4}1/2=(d2−2Δd*d+Δd2)1/2=d−Δd EQ (19)
Thus, in the case of calculation by means of root-mean-square as well, the average distance value dav does not include the constants α and β, which are terms of the Doppler constant, and can therefore reduce shifts (fluctuation) dependent on the acceleration.
Also, for example, the average distance value dav can alternatively be calculated using an equation that includes subtraction. Specifically, the following equation EQ (20) is provided using the measured current distance d0, the past distance d−1 once before the current distance, and the past distance d−3 three times before the current distance.
2d0+3d−1−d−3=4d EQ (20)
In this case, the average distance value dav is expressed by the following equation EQ (21).
d
av=(2d0+3d−1−d−3)/4=d EQ (21)
Thus, in the case of providing an equation that includes subtraction for calculation as well, the average distance value dav does not include the constants α and β, which are terms of the Doppler constant, and can therefore reduce shifts (fluctuation) dependent on the acceleration.
As described above, with the optical interference range sensor 100 according to one or more embodiments, the average distance value is calculated based on the measured distance, the first distance information indicating a distance based on a light beam projected using the first sweep frequency pattern, and the second distance information indicating a distance based on a light beam projected using the second sweep frequency pattern, of the past distance information regarding multiple measurements stored in the storage unit 140. The structure may reduce shifts (fluctuation) dependent on the acceleration that have occurred in the conventional method in the case where, for example, the distance to the measurement target T, such as a vibrating object, changes with acceleration. Accordingly, using the average distance value enables highly accurate measurement of the distance to the measurement target T that changes with acceleration.
One or more embodiments have described an example where the predetermined sweep frequency pattern includes the first sweep frequency pattern and the second sweep frequency pattern, but this need not be the case. The predetermined sweep frequency pattern may also include only one of the first and second sweep frequency patterns, or may include a sweep frequency pattern other than the first and second sweep frequency patterns.
The wavelength-swept light source 110 is not limited to alternately using the first and second sweep frequency patterns. The predetermined sweep frequency pattern may also include, for example, an up-chirp signal, another up-chirp signal, a down-chirp signal, and another down-chirp signal, and the wavelength-swept light source 110 may use these four signals in the aforementioned order.
The optical interference range sensor 100 according to one or more embodiments uses a Fizeau interferometer that generates a reference beam by using the leading end of the optical fiber cable as a reference surface in the interferometer 120. However, the interferometer is not limited thereto.
In
In
Thus, the interferometer is not limited to the Fizeau interferometer described in the embodiment or embodiments above, and may be, for example, a Michelson interferometer or a Mach-Zehnder interferometer. Any type of interferometer may be applied, or a combination of those interferometers or any other configuration may be applied if an interference beam can be generated by setting the optical path length difference between a measurement beam and a reference beam.
Note that the above-described embodiment or embodiments are for facilitating understanding, and is not for interpreting in a limiting manner. One or more embodiments may be altered/modified without departing from the gist thereof, and also includes equivalents thereof. In other words, any design changes made to one or more embodiments by a person skilled in the art are also included in the scope as long as they have the features of one or more embodiments. For example, each element provided by one or more embodiments and its arrangement, materials, conditions, shape, size, etc. are not limited to those described in the examples and may be changed as necessary. Also, one or more embodiments is an example, and it goes without saying that partial substitutions or combinations of the configurations described in different embodiments may be possible, and these are also included in the scope as long as they include the features of one or more embodiments.
An optical interference range sensor (100) including:
Number | Date | Country | Kind |
---|---|---|---|
2022-038129 | Mar 2022 | JP | national |