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JP2019215165A - Distance measuring device and distance measuring method - Google Patents

Distance measuring device and distance measuring method Download PDF

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JP2019215165A
JP2019215165A JP2018110825A JP2018110825A JP2019215165A JP 2019215165 A JP2019215165 A JP 2019215165A JP 2018110825 A JP2018110825 A JP 2018110825A JP 2018110825 A JP2018110825 A JP 2018110825A JP 2019215165 A JP2019215165 A JP 2019215165A
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田中 洋介
Yosuke Tanaka
洋介 田中
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Tokyo University of Agriculture and Technology NUC
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Abstract

【課題】測定時間を短縮することが可能な距離測定装置等を提供すること。【解決手段】距離測定装置は、変調信号により強度変調されたレーザー光を発生し、測定対象で反射した戻り光と前記変調信号に基づく基準信号との強度相関をとって強度相関信号を取得し、取得した強度相関信号に基づいて測定対象までの距離を測定する。十分に小さな周波数間隔で変調周波数を掃引したときに周期的に変化する強度相関信号のナイキスト間隔よりも広い周波数間隔で変調周波数を掃引したときに周期的に変化する強度相関信号の周期に基づいて、測定対象までの往復距離を算出する。【選択図】図1PROBLEM TO BE SOLVED: To provide a distance measuring device and the like capable of shortening measurement time. A distance measuring device generates a laser beam whose intensity is modulated by a modulation signal and obtains an intensity correlation signal by taking an intensity correlation between a return light reflected by a measurement target and a reference signal based on the modulation signal. The distance to the measurement target is measured based on the acquired intensity correlation signal. Based on the period of the intensity correlation signal that changes periodically when the modulation frequency is swept over a frequency interval wider than the Nyquist interval of the intensity correlation signal that changes periodically when the modulation frequency is swept at a sufficiently small frequency interval , Calculate the round trip distance to the measurement target. [Selection diagram] Figure 1

Description

本発明は、距離測定装置及び距離測定方法に関する。   The present invention relates to a distance measuring device and a distance measuring method.

従来から、強度変調されたレーザー光を測定対象に向けて出射し、測定対象で反射した戻り光と基準信号との強度相関をとって距離を測定する手法(光強度相関法)として、戻り光と基準となる光信号との強度相関を受光素子の非線形応答でとる手法(特許文献1)や、受光側に強度変調器を配置することで、戻り光との強度相関をとる手法(特許文献2)が知られている。これらの手法では、レーザー光の伝搬経路上に複数の半透明の反射点がある場合に、各反射点までの距離を同時に測定することができる。   Conventionally, as a method (light intensity correlation method) of measuring a distance by emitting an intensity-modulated laser beam toward a measurement target and calculating an intensity correlation between the return light reflected by the measurement target and a reference signal (light intensity correlation method). (Patent Literature 1) for obtaining the intensity correlation between the light and the reference optical signal using the nonlinear response of the light receiving element, or the method for obtaining the intensity correlation with the return light by disposing an intensity modulator on the light receiving side (Patent Document 1) 2) is known. In these methods, when there are a plurality of translucent reflection points on the propagation path of the laser beam, the distance to each reflection point can be measured simultaneously.

特開2007−205949号公報JP 2007-205949 A 特開2018−59789号公報JP 2018-59789 A

上記の手法では、短距離から長距離にわたって反射点が分布している場合に、変調周波数を掃引する際に、細かい周波数間隔(周波数掃引ステップ)で且つ広範囲の周波数掃引を行う必要があり、その結果、データの取得に時間を要し、測定時間が長くなるという問題があった。   In the above method, when the reflection points are distributed over a short distance to a long distance, when sweeping the modulation frequency, it is necessary to perform a wide frequency sweep at a fine frequency interval (frequency sweep step). As a result, there is a problem that it takes time to acquire data, and the measurement time becomes long.

本発明は、以上のような課題に鑑みてなされたものであり、その目的とするところは、測定時間を短縮することが可能な距離測定装置等を提供することにある。   The present invention has been made in view of the above-described problems, and an object of the present invention is to provide a distance measuring device or the like that can reduce a measurement time.

(1)本発明は、変調信号により強度変調されたレーザー光を発生し、測定対象で反射した戻り光と前記変調信号に基づく基準信号との強度相関をとって強度相関信号を取得し、取得した強度相関信号に基づいて前記測定対象までの距離を測定する距離測定装置であって、光速をcとし、屈折率をnとし、前記測定対象までの往復距離をLとし、前記変調信号の変調周波数を掃引したときに周期的に変化する強度相関信号の周期をFとしたとき、次式

Figure 2019215165
を満たす周期Fの1/2よりも広い周波数間隔Fで前記変調周波数を掃引したときに周期的に変化する強度相関信号の周期Fに基づいて、次式
Figure 2019215165
により、前記測定対象までの往復距離Lを算出する、距離測定装置に関する。但し、mは
、F/2<F<mF又はmF<Fを満たし、且つ、|1/F−m/F|を最小値とする自然数である。 (1) In the present invention, a laser light intensity-modulated by a modulation signal is generated, and an intensity correlation signal is obtained by obtaining an intensity correlation between return light reflected by a measurement object and a reference signal based on the modulation signal. A distance measuring device for measuring a distance to the object to be measured based on the intensity correlation signal obtained, wherein c is the speed of light, n is the refractive index, L is the reciprocating distance to the object to be measured, and the modulation of the modulation signal is performed. when the period of periodically varying intensity correlation signal is a F r when sweeping the frequency, the following equation
Figure 2019215165
The based on the period F g of periodically varying intensity correlation signal when the sweeping the modulation frequency at a period F wider frequency interval than half of r F s which satisfies the following equation
Figure 2019215165
To calculate the reciprocating distance L to the object to be measured. Here, m is a natural number that satisfies F r / 2 <F s <mF r or mF r <F s and minimizes | 1 / F r −m / F s |.

また、本発明は、変調信号により強度変調されたレーザー光を発生し、測定対象で反射した戻り光と前記変調信号に基づく基準信号との強度相関をとって強度相関信号を取得し、取得した強度相関信号に基づいて前記測定対象までの距離を測定する距離測定方法であって、光速をcとし、屈折率をnとし、前記測定対象までの往復距離をLとし、前記変調信号の変調周波数を掃引したときに周期的に変化する強度相関信号の周期をFとしたとき、次式

Figure 2019215165
を満たす周期Fの1/2よりも広い周波数間隔Fで前記変調周波数を掃引したときに周期的に変化する強度相関信号の周期Fに基づいて、次式
Figure 2019215165
により、前記測定対象までの往復距離Lを算出する、距離測定方法に関する。但し、mは、F/2<F<mF又はmF<Fを満たし、且つ、|1/F−m/F|を最小値とする自然数である。 Further, the present invention generates a laser light intensity-modulated by the modulation signal, obtains an intensity correlation signal by taking an intensity correlation between the return light reflected by the measurement target and a reference signal based on the modulation signal, and acquires the intensity correlation signal. A distance measuring method for measuring a distance to the object to be measured based on an intensity correlation signal, wherein c is a light speed, n is a refractive index, L is a reciprocating distance to the object to be measured, and a modulation frequency of the modulation signal is when the period of periodically varying intensity correlation signal is a F r when sweeping the following formula
Figure 2019215165
The based on the period F g of periodically varying intensity correlation signal when the sweeping the modulation frequency at a period F wider frequency interval than half of r F s which satisfies the following equation
Figure 2019215165
To calculate the reciprocating distance L to the object to be measured. Here, m is a natural number that satisfies F r / 2 <F s <mF r or mF r <F s and minimizes | 1 / F r −m / F s |.

本発明によれば、変調周波数を掃引する際に、周波数間隔を細かくすることなく、広い周波数間隔Fで変調周波数を掃引したときの強度相関信号の周期Fから測定対象までの距離を測定することができるため、測定時間を短縮することができる。 According to the present invention, when sweeping the modulation frequency, the distance without finer frequency interval, the period F g of intensity correlation signal when sweeping the modulation frequency in a wide frequency interval F s to the measurement target measurement Therefore, the measurement time can be shortened.

(2)また本発明に係る距離測定装置及び距離測定方法では、互いに異なる波長のレーザー光であって同一の変調周波数で強度変調されたレーザー光を発生する第1光発生部及び第2光発生部と、前記第1光発生部及び前記第2光発生部に変調信号を出力する信号発生器と、前記第1光発生部からのレーザー光が前記測定対象で反射した戻り光と、前記第2光発生部からのレーザー光を合波する合波器と、前記合波器からの光を受光し二光子吸収応答により強度相関信号を出力する光検出器と、前記信号発生器を制御し、前記光検出器からの強度相関信号に基づき前記測定対象までの距離を算出する制御部とを含んでもよい。   (2) Further, in the distance measuring device and the distance measuring method according to the present invention, the first light generating unit and the second light generating unit that generate laser lights having different wavelengths and intensity-modulated at the same modulation frequency. A signal generator that outputs a modulation signal to the first light generation unit and the second light generation unit; a return light in which laser light from the first light generation unit is reflected by the measurement target; A multiplexer for multiplexing the laser light from the two-light generator, a photodetector for receiving the light from the multiplexer and outputting an intensity correlation signal by a two-photon absorption response, and controlling the signal generator. A control unit for calculating a distance to the measurement target based on an intensity correlation signal from the photodetector.

(3)また本発明に係る距離測定装置及び距離測定方法では、強度変調されたレーザー光を発生する光発生部と、前記光発生部からのレーザー光が前記測定対象で反射した戻り光を、前記レーザー光の変調周波数と同一の変調周波数で強度変調する強度変調器と、前記光発生部及び前記強度変調器に変調信号を出力する信号発生器と、前記強度変調器で強度変調された光を受光し強度相関信号を出力する光検出器と、前記信号発生器を制御し、前記光検出器からの強度相関信号に基づき前記測定対象までの距離を算出する制御部とを含んでもよい。   (3) In the distance measuring device and the distance measuring method according to the present invention, the light generating unit that generates the intensity-modulated laser light, and the return light from which the laser light from the light generating unit is reflected by the measurement target include: An intensity modulator that intensity-modulates at the same modulation frequency as the modulation frequency of the laser light, a signal generator that outputs a modulation signal to the light generator and the intensity modulator, and light that is intensity-modulated by the intensity modulator. And a control unit for controlling the signal generator and calculating a distance to the object to be measured based on the intensity correlation signal from the photodetector.

(4)また本発明に係る距離測定装置及び距離測定方法では、前記光検出器として高域カットオフ周波数が前記変調信号の変調周波数よりも低い光検出器を用いてもよい。   (4) In the distance measuring device and the distance measuring method according to the present invention, a photodetector having a high-frequency cutoff frequency lower than the modulation frequency of the modulation signal may be used as the photodetector.

本発明によれば、光検出器の出力信号に別途信号処理を施すことを要せず、簡素な構成で光信号の高周波成分を除去して直流成分を検出することができる。   According to the present invention, it is not necessary to separately perform signal processing on an output signal of a photodetector, and a DC component can be detected by removing a high-frequency component of an optical signal with a simple configuration.

第1の実施形態に係る距離測定装置の構成を模式的に示す図。FIG. 1 is a diagram schematically illustrating a configuration of a distance measuring device according to a first embodiment. 十分に小さな周波数間隔で変調周波数を掃引したときに周期的に変化する強度相関信号と、当該強度相関信号のナイキスト間隔よりも広い周波数間隔で変調周波数を掃引したときに周期的に変化する強度相関信号を示す図。An intensity correlation signal that changes periodically when the modulation frequency is swept at a sufficiently small frequency interval, and an intensity correlation that changes periodically when the modulation frequency is swept at a frequency interval wider than the Nyquist interval of the intensity correlation signal The figure which shows a signal. 測定結果を示す図。The figure which shows a measurement result. 第2の実施形態に係る距離測定装置の構成を模式的に示す図。The figure which shows typically the structure of the distance measuring device which concerns on 2nd Embodiment.

以下、本実施形態について説明する。なお、以下に説明する本実施形態は、特許請求の範囲に記載された本発明の内容を不当に限定するものではない。また本実施形態で説明される構成の全てが、本発明の必須構成要件であるとは限らない。   Hereinafter, this embodiment will be described. In addition, this embodiment demonstrated below does not unduly limit the content of this invention described in the claim. In addition, all the configurations described in the present embodiment are not necessarily essential configuration requirements of the present invention.

(第1の実施形態)
図1は、第1の実施形態に係る距離測定装置の構成を模式的に示す図である。距離測定装置1は、第1光発生部として機能するレーザー光源10及び強度変調器11と、第2光発生部として機能するレーザー光源12及び強度変調器13と、信号発生器20と、光検出器30と、演算処理部(プロセッサー)及び記憶部を有する制御部40とを含む。図1に示す例では、測定対象である複数の半透明の反射点R(R〜R)として、複数の光ファイバ回折格子(FBG:Fiber Bragg Grating)をプローブ光路上に配置している。光ファイバ回折格子は低反射率で、プローブ光路で多重反射する光の影響は無視できるものとする。反射点Rと反射点Rの間は100m以上離れており、反射点R,Rを、短距離(近距離)の反射点、反射点R〜Rを、長距離(遠距離)の反射点としている。光ファイバの終端には、光ファイバ減衰器AT(アッテネータ)が設けられている。
(1st Embodiment)
FIG. 1 is a diagram schematically illustrating a configuration of a distance measuring device according to the first embodiment. The distance measuring device 1 includes a laser light source 10 and an intensity modulator 11 functioning as a first light generation unit, a laser light source 12 and an intensity modulator 13 functioning as a second light generation unit, a signal generator 20, And a control unit 40 having an arithmetic processing unit (processor) and a storage unit. In the example shown in FIG. 1, a plurality of optical fiber diffraction gratings (FBG: Fiber Bragg Grating) are arranged on the probe optical path as a plurality of translucent reflection points R (R 1 to R 5 ) to be measured. . It is assumed that the optical fiber diffraction grating has a low reflectance, and the effect of light that is multiple-reflected in the probe optical path can be ignored. A reflection point R 2 between the reflection point R 3 are separated by more than 100 m, the reflection point R 1, R 2, reflection point short range (near field), the reflection point R 3 to R 5, long range (far Distance). An optical fiber attenuator AT (attenuator) is provided at the end of the optical fiber.

強度変調器11は、レーザー光源10からのレーザー光を強度変調して変調周波数fで強度変調されたレーザー光(プローブ光)を発生し、強度変調器13は、レーザー光源12からのレーザー光を強度変調して変調周波数fで強度変調されたレーザー光(参照光)を発生する。レーザー光源10,12としては、干渉が生じないようにするため、互いに波長が僅かに異なるレーザー光源を用いる。例えば、レーザー光源10の波長を1550nmとし、レーザー光源12の波長を1552nmとする。ここでは、光発生部をレーザー光源と強度変調器で構成する場合について説明するが、変調信号をレーザー光源10,12に出力してレーザー光を変調する直接変調方式を採用してもよい。なお、プローブ光は、同期検波用にロックイン周波数fで更に強度変調される。ロックイン周波数fは、光検出器30の高域カットオフ周波数よりも十分に低くし、例えば、ロックイン周波数fを20kHzとする。 Intensity modulator 11 generates a laser beam from the laser light source 10 intensity modulation on the modulation frequency f m with an intensity-modulated laser beam (probe beam), the intensity modulator 13, laser light from the laser light source 12 the intensity modulation to generate a modulation frequency f m with an intensity modulated laser beam (reference light). Laser light sources having slightly different wavelengths are used as the laser light sources 10 and 12 in order to prevent interference. For example, the wavelength of the laser light source 10 is 1550 nm, and the wavelength of the laser light source 12 is 1552 nm. Here, a description will be given of a case where the light generating unit is configured by a laser light source and an intensity modulator. However, a direct modulation method of outputting a modulation signal to the laser light sources 10 and 12 and modulating the laser light may be employed. Incidentally, the probe light is further intensity modulated at a lock-in frequency f l for synchronous detection. Lock-in frequency f l, rather than the high frequency cut-off frequency of the optical detector 30 is sufficiently low, for example, the lock-in frequency f l and 20 kHz.

信号発生器20は、制御部40からの制御信号に基づき、強度変調器11,13に同一の変調周波数fの変調信号を出力する。 Signal generator 20, based on the control signal from the control unit 40, and outputs a modulated signal having the same modulation frequency f m to the intensity modulator 11 and 13.

第1光発生部(レーザー光源10、強度変調器11)から出射されたプローブ光は、光増幅器50(EDFA)で増幅され、光サーキュレータ60を通過して各反射点Rに至る。各反射点Rで反射したプローブ光(戻り光)は、光サーキュレータ60を通過して光カプラ61(合波器)で参照光(基準信号の一例)と合波され、光増幅器51で増幅された後、レンズ62で集光されて光検出器30に入射する。一方、第2光発生部(レーザー光源12、強度変調器13)から出射された参照光は、光カプラ61でプローブ光と合波され、光増幅器51で増幅された後、レンズ62で集光されて光検出器30に入射する。な
お、光サーキュレータ60、光カプラ61に代えて、ハーフミラーを用いてもよい。
The probe light emitted from the first light generating unit (laser light source 10, intensity modulator 11) is amplified by the optical amplifier 50 (EDFA), passes through the optical circulator 60, and reaches each reflection point R. The probe light (return light) reflected at each reflection point R passes through an optical circulator 60, is multiplexed with reference light (an example of a reference signal) by an optical coupler 61 (combiner), and is amplified by an optical amplifier 51. After that, the light is condensed by the lens 62 and enters the photodetector 30. On the other hand, the reference light emitted from the second light generation unit (laser light source 12 and intensity modulator 13) is multiplexed with the probe light by the optical coupler 61, amplified by the optical amplifier 51, and condensed by the lens 62. Then, the light enters the photodetector 30. Note that a half mirror may be used instead of the optical circulator 60 and the optical coupler 61.

光検出器30は、光カプラ61からの光(プローブ光(戻り光)と参照光が合波された)を受光し、二光子吸収応答により二光子吸収電流信号(各反射点Rで反射したプローブ光による強度相関信号の重ね合わせ)を出力する。光検出器30としては、Si−APD(Avalanche Photo Diode)等の受光素子を用いることができる。光検出器30の高域カットオフ周波数は変調周波数fよりも低く、光検出器30は、光信号の直流成分のみを検出する。光検出器30からの信号は、ロックインアンプ70によりロックイン周波数fでロックイン検出される。ロックインアンプ70の出力信号は、図示しないAD変換器によりデジタルデータに変換され、制御部40に出力される。 The photodetector 30 receives the light (the probe light (return light) and the reference light are multiplexed) from the optical coupler 61 and receives a two-photon absorption current signal (reflected at each reflection point R) by a two-photon absorption response. (A superposition of the intensity correlation signals by the probe light). As the photodetector 30, a light receiving element such as an Si-APD (Avalanche Photo Diode) can be used. High frequency cut-off frequency of the optical detector 30 is lower than the modulation frequency f m, the photodetector 30 detects only the DC component of the optical signal. Signal from the photodetector 30 is lock-in detection by a lock-in amplifier 70 by the lock-in frequency f l. The output signal of the lock-in amplifier 70 is converted into digital data by an AD converter (not shown) and output to the control unit 40.

制御部40は、信号発生器20を制御し、また、ロックインアンプ70の出力信号に基づいて反射点Rまでの距離(反射点Rで反射したプローブ光と参照光の伝搬距離差)を算出する。より詳細には、制御部40は、信号発生器20を制御して変調周波数fを一定の周波数間隔で離散的に掃引し、変調周波数fを掃引したときに周期的に変化する強度相関信号の周期に基づいて反射点Rまでの距離を算出する。 The control unit 40 controls the signal generator 20 and calculates a distance to the reflection point R (a difference in propagation distance between the probe light and the reference light reflected at the reflection point R) based on the output signal of the lock-in amplifier 70. I do. More specifically, the control unit 40, the modulation frequency f m discretely swept at a constant frequency interval controls the signal generator 20, periodically varying intensity correlation when sweeping the modulation frequency f m The distance to the reflection point R is calculated based on the signal period.

ここで、j(j=1〜N)番目の反射点Rで反射するプローブ光の伝搬距離をLp,j、当該プローブ光の光検出器30の受光面における実電界振幅をEp,j、参照光の伝搬距離をL、参照光の光検出器30の受光面における実電界振幅をEとすると、光検出器30の受光面におけるプローブ光の電界eは、以下の式(1)で表され、光検出器30の受光面における参照光の電界eは、式(2)で表される。 Here, the propagation distance of the probe light reflected at the j- th (j = 1 to N) reflection point R j is L p, j , and the actual electric field amplitude of the probe light on the light receiving surface of the photodetector 30 is Ep , j, the propagation distance of the reference light L r, the actual electric field amplitude at the light receiving surface of the photodetector 30 of the reference beam when the E r, the electric field e p of the probe light on the light-receiving surface of the photodetector 30 has the following formula represented by (1), the electric field e r of the reference light on the light-receiving surface of the photodetector 30 is represented by the formula (2).

Figure 2019215165
ここで、νは光周波数であり、fは変調周波数であり、φは変調度であり、tは時間であり、nは光が伝搬する媒質の屈折率であり、cは光速であり、θは位相であり、Nは反射点Rの個数である。また、添え字付き記号の添え字のpはプローブ光を示し、rは参照光を示し、lはロックインアンプ70に入力される変調信号(参照信号)を示し、mは強度変調器11,13に入力される変調信号を示す。
Figure 2019215165
Where ν is the optical frequency, f is the modulation frequency, φ is the modulation factor, t is time, n is the refractive index of the medium through which the light propagates, c is the speed of light, θ Is the phase, and N is the number of reflection points R. Also, the subscript p of the subscripted symbol indicates probe light, r indicates reference light, l indicates a modulation signal (reference signal) input to the lock-in amplifier 70, and m indicates the intensity modulator 11, FIG.

光検出器30から出力される二光子吸収電流iは、入射光強度の2乗平均に比例し、以下の式(3)で表される。   The two-photon absorption current i output from the photodetector 30 is proportional to the root-mean-square of the incident light intensity and is expressed by the following equation (3).

Figure 2019215165
ここで、Aは比例定数である。Iは、I=Eで与えられ、光強度に比例する。iは暗電流である。また、ΔLはj番目の反射点Rで反射するプローブ光の伝搬距離Lp,jと参照光の伝搬距離Lの差(Lp,j−L)、すなわち、反射点Rまでの往復距離である。
Figure 2019215165
Here, A is a proportionality constant. I is given by I = E 2, proportional to the light intensity. id is the dark current. ΔL j is a difference (L p, j −L r ) between the propagation distance L p, j of the probe light reflected at the j-th reflection point R j and the propagation distance L r of the reference light, that is, the reflection point R j It is the round trip distance to

光検出器30の高域カットオフ周波数は変調周波数fよりも低いため、式(3)において、光検出器30の高域カットオフ周波数よりも高い変調周波数fで振動する項は時間平均が0となる。また、n(Lp,N−Lp,1)/cが十分に小さければ、異なる反射点Rで反射したプローブ光に対する同期検波用の変調信号の位相2πfnLp,j/cの違いの影響は無視できる。このとき、二光子吸収電流信号をロックイン周波数fでロックイン検出すると、出力信号の電流iLIAは、以下の式(4)で表される。 Since the high frequency cut-off frequency of the optical detector 30 is lower than the modulation frequency f m, the average in Equation (3), terms which vibrates at a high frequency cut-off higher modulation frequencies than the frequency f m of the photodetector 30 is time Becomes 0. Also, n (L p, N -L p, 1) / c is sufficiently small, the difference of the phase 2πf l nL p, j / c of the modulation signal for synchronous detection for the probe beam reflected by the different reflection point R Can be ignored. At this time, when lock-in detection of the two-photon absorption current signal by the lock-in frequency f l, the current i LIA output signal is expressed by the following equation (4).

Figure 2019215165
ここで、Bは比例定数であり、iはノイズ電流である。式(4)から、変調周波数fを一定の周波数間隔で掃引すると、各反射点Rからの反射光による信号(強度相関信号)がそれぞれ正弦波(余弦波)状に(周期的に)変化することが分かる。
Figure 2019215165
Here, B is a proportional constant, i n is the noise current. From equation (4), when sweeping the modulation frequency f m at constant frequency intervals, the signal (intensity correlation signal) (periodically) each sine wave (cosine wave) shape changes by the reflected light from the reflection point R You can see that

ここで、j番目の反射点Rで反射したプローブ光による強度相関信号の周期fperiod,jは、離散的に掃引する変調周波数fの周波数掃引ステップ(周波数間隔)が十分に小さければ、以下の式(5)で表され、距離差ΔLに反比例する。 Here, the period f period of the intensity correlation signal by j th probe light reflected by the reflection point R, j is the frequency sweep step (frequency interval) of the modulation frequency f m which discretely swept is sufficiently small, the following And is inversely proportional to the distance difference ΔL j .

Figure 2019215165
このとき、出力信号をフーリエ変換して、出力信号に含まれる各強度相関信号(各周波数成分)の周期fperiod,jを算出することで、各反射点Rの距離差ΔLを同時に求めることができる。すなわち、出力信号をフーリエ変換して得られるスペクトルにお
ける各ピーク位置が各反射点Rの距離差ΔLに対応する。
Figure 2019215165
At this time, the output signal is Fourier-transformed, and the period f period, j of each intensity correlation signal (each frequency component) included in the output signal is calculated, thereby simultaneously obtaining the distance difference ΔL j between the reflection points R. Can be. In other words, each peak position in the spectrum obtained by the output signal by Fourier transform corresponds to the distance difference [Delta] L j of each reflection point R.

ここで、距離差ΔL自体を正確に求めようとすると、式(5)から、長距離の反射点の距離差を求めるには、非常に小さな周波数間隔で周波数掃引を行わなければならないことが分かる。一方で、短距離の反射点の距離差を同時に求める場合には、周波数の掃引範囲を広くとらなければならない。従って、短距離の反射点と長距離の反射点が混在する場合には、非常に小さな周波数間隔で広範囲の周波数掃引を行う必要があり、測定時間が長くなる。 Here, in order to accurately obtain the distance difference ΔL j itself, it is necessary to perform frequency sweeping at a very small frequency interval in order to obtain the distance difference between the long-distance reflection points from Expression (5). I understand. On the other hand, when simultaneously calculating the distance difference between the short-range reflection points, the frequency sweep range must be widened. Therefore, when short-range reflection points and long-range reflection points coexist, it is necessary to perform a wide frequency sweep at very small frequency intervals, and the measurement time becomes long.

図2の(a)は、十分に小さな周波数間隔で変調周波数fを掃引したときに周期的に変化する強度相関信号を示す図である。図2に示すグラフの横軸は変調周波数fを示し、縦軸は強度相関信号の強度を示す。また、図2に示すグラフにおいて黒丸点間の間隔は、周波数掃引ステップを示す。図2の(a)に示す強度相関信号は、強度相関信号の周期fperiod,jの1/2以下(強度相関信号のナイキスト間隔以下)の周波数間隔で変調周波数fを掃引した場合に得られる。 In Figure 2 (a) is a diagram showing a periodically varying intensity correlation signal when sweeping the modulation frequency f m at sufficiently small frequency interval. The horizontal axis of the graph shown in FIG. 2 shows the modulation frequency f m, the vertical axis represents the intensity of the intensity correlation signal. In the graph shown in FIG. 2, the interval between the black dots indicates the frequency sweeping step. Intensity correlation signal shown in FIG. 2 (a), the period f period of the intensity correlation signal, obtained when sweeping the modulation frequency f m at a frequency spacing of less than 1/2 of the j (hereinafter Nyquist interval of the intensity correlation signal) Can be

ここで、図2の(b)に示すように、強度相関信号の周期fperiod,jの1/2よりも広い(強度相関信号のナイキスト間隔よりも広い)周波数間隔で変調周波数fを掃引すると、実際の周期fperiod,jよりも長い周期の強度相関信号が観測される。その結果、長距離の反射点(例えば、図1の反射点R〜R)であっても、周波数掃引ステップを大きくすることで、強度相関信号をフーリエ変換して得られるスペクトルでは当該反射点に対応するピーク位置は見掛け上、近くの反射点のようになる。 Here, as shown in FIG. 2 (b), (wider than the Nyquist interval of the intensity correlation signal) period f period, wider than half the j of the intensity correlation signal sweeping the modulation frequency f m in the frequency interval Then, an intensity correlation signal having a period longer than the actual period f period, j is observed. As a result, long-distance reflection point (e.g., the reflection point R 3 to R 5 Figure 1) even, by increasing the frequency sweep step, the reflection spectrum obtained by intensity correlation signal by Fourier transform The peak position corresponding to the point is apparently like a nearby reflection point.

周波数掃引ステップが十分に小さいとき、j番目の反射点Rからの反射光によって生じる強度相関信号が周期Fで周期的に変化するとすると、反射点Rで反射するプローブ光の伝搬距離と参照光の伝搬距離との距離差ΔLは、以下の式(6)で表される。また、周期Fの1/2よりも広い周波数間隔F(F>F/2)で変調周波数fを掃引したときに得られる強度相関信号の周期をFとするとすると、当該強度相関信号から算出される見掛けの距離差ΔLは、以下の式(7)で表される。 When the frequency sweep step is sufficiently small, if the intensity correlation signal produced by the reflected light from the j-th reflection point R j are periodically changes at a period F r, a propagation distance of the probe light reflected at the reflection point R j The distance difference ΔL from the propagation distance of the reference light is represented by the following equation (6). Also, the period of the intensity correlation signal obtained when sweeping the modulation frequency f m in the cycle F wider frequency interval than half of r F s (F s> F r / 2) When the F g, the The apparent distance difference ΔL g calculated from the intensity correlation signal is represented by the following equation (7).

Figure 2019215165
ここで、周期Fは、以下の式(8)で表される。
Figure 2019215165
Here, the period Fg is represented by the following equation (8).

Figure 2019215165
ここで、mは、F/2<F<mF又はmF<Fを満たし、且つ、|1/F−m/F|を最小値とする自然数である。周波数間隔Fが周期Fよりも小さいか大きいかによって周期Fの値は異なるが、いずれの場合もΔL>ΔLとなる。式(6)、式(8)より、距離差ΔLは、周波数間隔Fと周期Fを用いて以下の式(9)で表される。
Figure 2019215165
Here, m is a natural number that satisfies F r / 2 <F s <mF r or mF r <F s and minimizes | 1 / F r −m / F s |. The frequency spacing F s is the value of the period F g depending on whether less than the period F r large different, either the even [Delta] L> [Delta] L g For. Equation (6), the equation (8), the distance difference ΔL is expressed by the following equation using the frequency spacing F s and the period F g (9).

Figure 2019215165
本実施形態では、制御部40は、式(6)を満たす周期Fの1/2よりも広い周波数間隔Fで変調周波数fを掃引しながら取得した変調周波数f毎の出力信号をフーリエ変換して、出力信号に含まれる各強度相関信号(各反射点Rからの反射光によって生じる各強度相関信号)の周期Fを算出し、算出した周期Fと周波数間隔Fとを式(9)に代入して距離差ΔL(反射点Rまでの往復距離L)を算出する。これにより、測定対象に長距離の反射点が含まれる場合であっても、周波数掃引ステップを細かくすることなく、広い周波数間隔Fで変調周波数fを掃引して各反射点までの距離(変位)を測定することができるため、測定で取得するデータ数が少なくなり、測定時間を短縮することができる。
Figure 2019215165
In the present embodiment, the control unit 40, an output signal of each modulation frequency f m obtained while sweeping the modulation frequency f m in a wide frequency interval F s than 1/2 of the period F r that satisfies Equation (6) Fourier transform, and a period F g is calculated, the calculated period F g and the frequency spacing F s of each intensity correlation signal included in the output signal (the intensity correlation signal produced by the reflected light from the reflection point R) calculating the (round trip distance L j to the reflection point R j) distance difference ΔL into equation (9). Thus, even if it contains a long distance of the reflection point on the measurement object, without fine frequency sweep step, the distance to the reflection point by sweeping the modulation frequency f m in a wide frequency interval F s ( Displacement) can be measured, so that the number of data acquired in the measurement is reduced, and the measurement time can be shortened.

反射点までの凡その往復距離(周波数掃引ステップが、式(6)を満たす周期Fの1/2以下であるか、周期Fの1/2よりも大きいか、周期mFよりも大きいか)が分かっている場合、周波数掃引ステップが周期Fの1/2以下となる反射点については算出した周期を式(6)に代入して距離差ΔLを算出し、周波数掃引ステップが周期Fの1/2よりも大きく周期mFよりも小さくなる(F/2<F<mF)反射点については算出した周期と周波数掃引ステップ(周波数間隔)とを式(9)の上段に代入して距離差ΔLを算出し、周波数掃引ステップが周期mFよりも大きくなる(mF<F)反射点については算出した周期と周波数掃引ステップとを式(9)の下段に代入して距離差ΔLを算出する。 Reciprocating distance (frequency sweep steps approximate to the reflection point is either less than half of the period F r that satisfies Equation (6), or greater than 1/2 of the period F r, greater than the period mF r If either) is known, the calculated period into equation (6) calculates the distance difference ΔL for reflection points frequency sweep step is 1/2 or less of the period F r, the frequency sweep step cycle F r 1/2 smaller than larger period mF r than in (F r / 2 <F s <mF r) the period and the frequency sweep step calculated for the reflection point (frequency interval) and the formula (9) calculating a distance difference ΔL is substituted in the upper, the lower the frequency sweep step is greater than the period mF r (mF r <F s ) wherein the period and the frequency sweep step calculated for the reflection point (9) To calculate the distance difference ΔL

一方、反射点までの凡その往復距離が分かっていない場合には、周波数掃引ステップを変えて測定を複数回行う。例えば、2回目の測定では周波数掃引ステップを1回目の測定での周波数掃引ステップの2倍の値とする。そして、1回目の測定で得られた強度相関信号の周期と、2回目の測定で得られた強度相関信号の周期が同一である場合(1回目の測定でも2回目の測定でも周波数掃引ステップが周期Fの1/2以下となる場合)には、当該得られた周期を式(6)に代入して算出される距離差ΔLを測定結果とする。また、1回目の測定で得られた強度相関信号の周期を式(6)に代入して算出される距離差ΔLと、2回目の測定で得られた強度相関信号の周期及び2回目の測定での周波数掃引ステップを式(9)の上段でm=1とした式に代入して算出される距離差ΔLとが同一となる場合(1回目の測定では周波数掃引ステップが周期Fの1/2以下となり、2回目の測定では周波数掃引ステップが周期Fの1/2よりも大きく周期Fよりも小さくなる場合)には、当該距離差ΔLを測定結果とする。また、Fを2倍にすると、|1/F−m/F|を最小値とする自然数mも2倍の値になる。このことに注目して、1回目の測定で得られた強度相関信号の周期及び1回目の測定での周波数掃引ステップを式(9)の上段と下段のそれぞれに代入して得られる式と、2回目の測定で得られた強度相関信号の周期及び2回目の測定での周波数掃引ステップを式(9)の上段と下段のそれぞれに代入して得られる式とを比較する。後者の2式では、mを2mに置き換える。前者の2式のうちいずれか1つと後者の2式のうちいずれか1つとが同じ値になるような自然数mがあるときは、そのmを用いて得られた距離差ΔLを測定結果とする。 On the other hand, when the approximate reciprocating distance to the reflection point is not known, the measurement is performed a plurality of times by changing the frequency sweep step. For example, in the second measurement, the frequency sweep step is set to a value twice as large as the frequency sweep step in the first measurement. When the cycle of the intensity correlation signal obtained in the first measurement is equal to the cycle of the intensity correlation signal obtained in the second measurement (the frequency sweeping step is performed in both the first measurement and the second measurement). in the case where a half or less) of the period F r, the distance difference ΔL calculated the resulting cycle is substituted into equation (6) with the measurement result. Further, the distance difference ΔL calculated by substituting the period of the intensity correlation signal obtained in the first measurement into the equation (6), the period of the intensity correlation signal obtained in the second measurement, and the second measurement Is the same as the distance difference ΔL calculated by substituting the frequency sweeping step in the equation (9) in the upper stage of the equation (9) (in the first measurement, the frequency sweeping step is 1 in the period Fr ). / 2 or less and becomes, in a case where the frequency sweep step is smaller than the larger cycle F r than 1/2 of the period F r) in the second measurement, the measurement result of the distance difference [Delta] L. Also, doubling the F s, | 1 / F r -m / F s | natural number and minimum value m may be 2 times the value. Noting this, an equation obtained by substituting the cycle of the intensity correlation signal obtained in the first measurement and the frequency sweeping step in the first measurement into each of the upper and lower rows of equation (9), The cycle of the intensity correlation signal obtained in the second measurement and the frequency sweeping step in the second measurement are compared with the equations obtained by substituting the upper and lower rows of equation (9). In the latter two equations, m is replaced by 2m. When there is a natural number m such that one of the former two formulas and one of the latter two formulas have the same value, the distance difference ΔL obtained using the m is used as the measurement result. .

本実施形態の手法では、余弦波信号(異なる周期の余弦波信号の重ね合わせ)を一定間隔でサンプリングする。簡単のため、単一の余弦波信号で考える。余弦波信号f(t)は、以下の式(10)で表される。なお、tは、時間に限られず、本実施形態では変調周波数である。   In the method of the present embodiment, cosine wave signals (superposition of cosine wave signals having different periods) are sampled at regular intervals. For simplicity, consider a single cosine signal. The cosine wave signal f (t) is represented by the following equation (10). Note that t is not limited to time, but is a modulation frequency in the present embodiment.

Figure 2019215165
余弦波信号のフーリエ変換F(ω)は、デルタ関数を用いて、
Figure 2019215165
となり、ω軸上で±ωに線スペクトルをもつことが分かる。サンプリング間隔Tが1/2f(ナイキスト間隔)以下であれば、信号スペクトルのうち最小の|ω|をもつ成分は±ωであり、これをとりだすことで元の波形を再現できる。一方、サンプリング間隔Tが、
Figure 2019215165
であると、信号スペクトルのうち最小の|ω|をもつ成分は、|ω−mω|の最小値で与えられる|ω|をもつ線スペクトルの成分である。但し、mは、|ω−mω|を最小値とする自然数である。また、ω=2π/Tである。
Figure 2019215165
The Fourier transform F (ω) of the cosine wave signal is calculated using a delta function,
Figure 2019215165
And it can be seen that there is a line spectrum at ± ω 0 on the ω axis. If the sampling interval T s is 1 / 2f o (Nyquist interval) or less, the minimum of the signal spectrum | omega | component with is ± omega 0, can reproduce the original waveform by taking out this. On the other hand, the sampling interval T s is,
Figure 2019215165
, The component having the minimum | ω | of the signal spectrum is the component of the line spectrum having | ω | given by the minimum value of | ω 0 −mω s |. Here, m is a natural number that minimizes | ω 0 −mω s |. Also, ω s = 2π / T s .

ここで、特に、サンプリング間隔Tが、

Figure 2019215165
であれば、信号スペクトルのうち最小の|ω|をもつ成分は、ω−ω及び−ω+ωの線スペクトルとなる。図1に示す例のように反射点Rの凡その位置が予め分かっていれば、サンプリング間隔Tを式(13)の条件が満たされるように適切に選ぶことができる。また、より一般的に式(12)の場合であっても、反射点Rの凡その位置が予め分かっていれば、|ω−mω|を最小値とする自然数mは分かるため、ωを求めることは可能である。 Here, in particular, the sampling interval T s is,
Figure 2019215165
Then, the components having the minimum | ω | in the signal spectrum are the line spectra of ω 0 −ω s and −ω 0 + ω s . If the position of the approximate reflection point R as in the example shown in FIG. 1 is long known in advance, the sampling interval T s can be chosen so that appropriate conditions of formula (13) is satisfied. Also, more generally, even in the case of Expression (12), if the approximate position of the reflection point R is known in advance, the natural number m that minimizes | ω 0 −mω s | It is possible to find 0 .

本実施形態の手法を用いて反射点R〜Rまでの往復距離(距離差)を測定する実験を行った。図3に測定結果を示す。図3に示すグラフ(出力信号をフーリエ変換して得られたスペクトル)の横軸には、周波数を式(6)により距離差に換算した値を示している。図3に示すグラフには、反射点R〜Rの距離差に対応するピーク位置が現れている。短距離の反射点R、Rについては、ピーク位置が実際の距離差ΔLに対応している。一方、長距離の反射点R〜Rについては、周波数掃引ステップが式(6)を満たす周期Fの1/2よりも広くなっているため、ピーク位置が実際の距離差ΔLではなく見掛けの距離差ΔLに対応している。反射点R〜Rについては、強度相関信号の周期(ピーク位置の周波数の逆数)と周波数掃引ステップを式(9)に代入することで実際の距離差ΔLを求めることができる。 An experiment was performed to measure the reciprocating distance (distance difference) between the reflection points R 1 to R 5 using the method of the present embodiment. FIG. 3 shows the measurement results. The horizontal axis of the graph (spectrum obtained by Fourier transforming the output signal) shown in FIG. 3 indicates a value obtained by converting the frequency into a distance difference by the equation (6). The graph shown in FIG. 3, the peak position has appeared corresponding to the distance difference of the reflection point R 1 to R 5. For the short-range reflection points R 1 and R 2 , the peak position corresponds to the actual distance difference ΔL. On the other hand, for the long-distance reflection points R 3 to R 5 , the frequency sweep step is wider than 周期 of the period Fr that satisfies the expression (6), so that the peak position is not the actual distance difference ΔL. This corresponds to the apparent distance difference ΔL g . For the reflection points R 3 to R 5 , the actual distance difference ΔL can be obtained by substituting the period of the intensity correlation signal (the reciprocal of the frequency of the peak position) and the frequency sweeping step into Expression (9).

本実験では、変調周波数fを2GHzの範囲で0.69MHzの周波数掃引ステップで掃引した。周波数掃引ステップを0.15MHzとした従来の手法では測定時間が約90分であったのに対し、本実験では測定時間は約30分となった。本実施形態の手法により測定時間を約1/3に短縮することができた。 In this experiment, it was swept frequency sweep step of 0.69MHz the modulation frequency f m in the range of 2 GHz. The measurement time was about 90 minutes in the conventional method in which the frequency sweep step was set to 0.15 MHz, whereas the measurement time was about 30 minutes in this experiment. The measurement time can be reduced to about 1/3 by the method of the present embodiment.

なお、距離分解能は、変調周波数fを掃引する範囲で決まるため、掃引周波数ステップが広くなっても分解能は変化しない。本実験においても、従来の手法と本実施形態の手法とで距離分解能が変化することはなかった。また、測定精度については、測定時間が短くなることで、誤差要因となる外乱の影響が減り、原理的には測定精度が向上すると考えられる。 The distance resolution is determined depending on a range of sweeping the modulation frequency f m, the resolution does not change even if the sweep frequency step becomes wider. Also in this experiment, the distance resolution did not change between the conventional method and the method of the present embodiment. Regarding the measurement accuracy, it is considered that the shortening of the measurement time reduces the influence of disturbance which causes an error, and improves the measurement accuracy in principle.

本実施形態で示したように、本発明に係る距離測定装置は、光ファイバ回折格子を用いた多点型FBGセンサに適用することができる。多点型FBGセンサは、構造物(橋やビルディング等)のヘルスモニタリングへの利用が期待されており、実用化もされている。一般には、FBGが配置された点の局所歪みしか測定することができないが、本実施形態に係る距離測定装置によれば、FBG間の全体的な歪みも測定できるようになる。構造ヘルスモニタリングでは、全体的な変化を測定することが局所的な異常を発見することと同様に重要である。本実施形態に係る距離測定装置により、測定を短時間に行うことが可能となることで、構造ヘルスモニタリングの効率と精度を向上することができる。   As shown in the present embodiment, the distance measuring device according to the present invention can be applied to a multipoint FBG sensor using an optical fiber diffraction grating. The multipoint FBG sensor is expected to be used for health monitoring of structures (bridges, buildings, and the like) and has been put to practical use. In general, only the local distortion at the point where the FBGs are arranged can be measured. However, according to the distance measuring device according to the present embodiment, the overall distortion between FBGs can also be measured. In structural health monitoring, measuring global changes is as important as finding local anomalies. With the distance measuring device according to the present embodiment, the measurement can be performed in a short time, so that the efficiency and accuracy of structural health monitoring can be improved.

(第2の実施形態)
図4は、本実施形態に係る距離測定装置の構成を模式的に示す図である。距離測定装置2は、光発生部として機能するレーザー光源110と、強度変調器120と、信号発生器130と、光検出器140と、演算処理部(プロセッサー)及び記憶部を有する制御部150とを含む。
(Second Embodiment)
FIG. 4 is a diagram schematically illustrating a configuration of the distance measuring device according to the present embodiment. The distance measuring device 2 includes a laser light source 110 functioning as a light generation unit, an intensity modulator 120, a signal generator 130, a photodetector 140, and a control unit 150 having an arithmetic processing unit (processor) and a storage unit. including.

レーザー光源110は、変調周波数fで強度変調されたレーザー光を発生する。ここでは、変調信号をレーザー光源110に出力してレーザー光を変調する直接変調方式を採用した場合について説明するが、光発生部をレーザー光源と変調器で構成し、変調信号を当該変調器に出力してレーザー光を変調する外部変調方式を採用してもよい。レーザー光源110から出射されたレーザー光はレンズ111で平行光となり、ハーフミラー112を透過して測定対象(複数の半透明の反射点R)に至る。測定対象Tで反射した戻り光(測定対象Tからの反射光)は、ハーフミラー112で反射され、強度変調器120に入射する。 Laser source 110 generates an intensity modulated laser beam at the modulation frequency f m. Here, a case will be described in which a direct modulation method of outputting a modulation signal to the laser light source 110 and modulating the laser light is employed. However, the light generation unit includes a laser light source and a modulator, and the modulation signal is transmitted to the modulator. An external modulation method of outputting and modulating a laser beam may be adopted. The laser light emitted from the laser light source 110 is converted into parallel light by the lens 111, passes through the half mirror 112, and reaches the measurement target (a plurality of translucent reflection points R). Return light reflected by the measurement target T (reflected light from the measurement target T) is reflected by the half mirror 112 and enters the intensity modulator 120.

強度変調器120は、測定対象Tで反射した戻り光を、信号発生器130からの変調信号(基準信号の他の例)に基づいて、変調周波数f(レーザー光源110の変調周波数と同一の変調周波数)で強度変調する。 Intensity modulator 120, the return light reflected by the measurement target T, based on the modulation signal from the signal generator 130 (another example of a reference signal), same as the modulation frequency of the modulation frequency f m (laser light source 110 (Modulation frequency).

信号発生器130は、制御部150からの制御信号に基づき、レーザー光源110及び強度変調器120に同一の変調周波数fの変調信号を出力する。 Signal generator 130 based on the control signal from the control unit 150, and outputs the modulated signal having the same modulation frequency f m to the laser light source 110 and the intensity modulator 120.

光検出器140は、強度変調器120で強度変調された戻り光を受光し、強度相関信号(各反射点Rで反射し強度変調された戻り光による強度相関信号の重ね合わせ)を出力する。光検出器140からの信号は、図示しないAD変換器によりデジタルデータに変換され、制御部150に出力される。ここで、光検出器140のカットオフ周波数は変調周波数fよりも低く、光検出器140は、強度変調された戻り光の直流成分のみを検出する。 The photodetector 140 receives the return light intensity-modulated by the intensity modulator 120 and outputs an intensity correlation signal (a superposition of the intensity correlation signals based on the intensity-modulated return light reflected at each reflection point R). The signal from the photodetector 140 is converted into digital data by an AD converter (not shown) and output to the control unit 150. Here, the cutoff frequency of the optical detector 140 is lower than the modulation frequency f m, the photodetector 140 detects only the DC component of the intensity-modulated return light.

制御部150は、信号発生器130を制御し、また、光検出器140からの強度相関信号(AD変換器の出力信号)に基づいて反射点Rまでの距離を算出する。より詳細には、制御部150は、信号発生器130を制御して変調周波数fを一定の周波数間隔で離散的に掃引し、変調周波数fを掃引したときに周期的に変化する強度相関信号の周期に基づいて反射点Rまでの距離を算出する。 The control unit 150 controls the signal generator 130 and calculates the distance to the reflection point R based on the intensity correlation signal (output signal of the AD converter) from the photodetector 140. More specifically, the control unit 150, the modulation frequency f m discretely swept at a constant frequency interval controls the signal generator 130, periodically varying intensity correlation when sweeping the modulation frequency f m The distance to the reflection point R is calculated based on the signal period.

ここで、光検出器140からの強度相関信号の強度Sは、以下の式(14)で表される。   Here, the intensity S of the intensity correlation signal from the photodetector 140 is represented by the following equation (14).

Figure 2019215165
ここで、α、β、γ、a、bは定数であり、Lは、反射点Rで反射するレーザー光の伝搬距離(反射点Rまでの往復距離)である。式(14)から、変調周波数fを一定の周波数間隔で掃引すると、反射点Rからの反射光による強度相関信号が正弦波(余弦波)状に(周期的に)変化することが分かる。
Figure 2019215165
Here, α, β, γ, a, and b are constants, and L is the propagation distance of the laser light reflected at the reflection point R (the reciprocating distance to the reflection point R). From equation (14), when sweeping the modulation frequency f m at a constant frequency interval, the intensity correlation signal by the reflected light from the reflection point R is (periodically) to form a sine wave (cosine wave) can be seen to vary.

本実施形態においても、第1の実施形態と同様の手法により反射点Rまでの距離を算出する。但し、第1の実施形態における距離差ΔLは、距離L(往復距離)と読み替えるものとする。すなわち、制御部150は、式(6)を満たす周期Fの1/2よりも広い周波数間隔Fで変調周波数fを掃引しながら取得した変調周波数f毎の出力信号をフーリエ変換して、出力信号に含まれる各強度相関信号(各反射点Rからの反射光によって生じる各強度相関信号)の周期Fを算出し、算出した周期Fと周波数間隔Fとを式(9)に代入して距離Lを算出する。なお、実際の測定では、まず、レーザー光源110からのレーザー光を直接(ハーフミラー112から先の往復の光路がない状態で)強度変調器120に入射させ、このときに算出される距離をLとし、Lを基準値とする。その上で、ハーフミラー112から先の往復の光路がある状態で測定を行い、このときに算出される距離をLとし、Lと基準値Lとの差(L−L)を、反射点Rまでの距離Lとして求める。 Also in the present embodiment, the distance to the reflection point R is calculated by the same method as in the first embodiment. However, the distance difference ΔL in the first embodiment is to be read as the distance L (reciprocating distance). That is, the control unit 150, an output signal of each modulation frequency f m obtained while sweeping the modulation frequency f m in a wide frequency interval F s than 1/2 of the period F r that satisfies Equation (6) Fourier transform Te to calculate the period F g of each intensity correlation signal included in the output signal (the intensity correlation signal produced by the reflected light from the reflection point R), the calculated period F g and the frequency spacing F s and the formula (9 ) To calculate the distance L. In the actual measurement, first, the laser light from the laser light source 110 is directly incident on the intensity modulator 120 (without the optical path of the reciprocating movement from the half mirror 112). 1 and L 1 as a reference value. On top of that, it was measured in a state where the half mirror 112 is the optical path of the previous round-trip, the difference between the distance calculated at this time and L 2, and L 2 and the reference value L 1 (L 2 -L 1) Is determined as the distance L to the reflection point R.

本実施形態によっても、周波数掃引ステップを細かくすることなく、広い周波数間隔Fで変調周波数fを掃引して各反射点までの距離(変位)を測定することができるため、測定時間を短縮することができる。 Also according to this embodiment, it is possible to measure the distance (displacement) to each reflection point by sweeping the modulation frequency f m with no wide frequency interval F s to finer frequency sweep step, shortening the measurement time can do.

なお、本発明は、上述の実施の形態に限定されるものではなく、種々の変更が可能である。本発明は、実施の形態で説明した構成と実質的に同一の構成(例えば、機能、方法及び結果が同一の構成、あるいは目的及び効果が同一の構成)を含む。また、本発明は、実施の形態で説明した構成の本質的でない部分を置き換えた構成を含む。また、本発明は、実施の形態で説明した構成と同一の作用効果を奏する構成又は同一の目的を達成することができる構成を含む。また、本発明は、実施の形態で説明した構成に公知技術を付加した構成を含む。   Note that the present invention is not limited to the above-described embodiment, and various modifications are possible. The present invention includes configurations that are substantially the same as the configurations described in the embodiments (for example, configurations that have the same functions, methods, and results, or configurations that have the same objects and effects). In addition, the invention includes a configuration in which a non-essential part of the configuration described in the embodiment is replaced. In addition, the present invention includes a configuration that achieves the same effect as the configuration described in the embodiment or a configuration that can achieve the same object. Further, the invention includes a configuration in which a known technique is added to the configuration described in the embodiment.

例えば、上記実施形態では、測定対象で反射した戻り光と基準信号との強度相関をとって強度相関信号を取得する構成の例として、戻り光と参照光(基準信号の一例)を合波した光を受光する光検出器の二光子吸収応答を利用して強度相関信号を取得する構成(第1の実施形態)と、戻り光を同一の変調周波数の変調信号(基準信号の他の例)で更に強度変調することで強度相関信号を取得する構成(第2の実施形態)について説明したが、本発明はこれに限られない。例えば、戻り光を受光する光検出器の出力信号(或いは、出力信号をデジタル化した信号)を同一の変調周波数の変調信号で更に強度変調することで強度相関信号を取得するように構成してもよい。   For example, in the above embodiment, as an example of a configuration for obtaining an intensity correlation signal by obtaining an intensity correlation between return light reflected by a measurement target and a reference signal, return light and a reference light (an example of a reference signal) are combined. A configuration for acquiring an intensity correlation signal using a two-photon absorption response of a photodetector that receives light (first embodiment), and a modulation signal of the same modulation frequency for return light (another example of a reference signal) Although the configuration (second embodiment) for obtaining the intensity correlation signal by further modulating the intensity has been described in the above, the present invention is not limited to this. For example, an intensity correlation signal is obtained by further modulating the intensity of an output signal (or a signal obtained by digitizing the output signal) of a photodetector that receives return light with a modulation signal having the same modulation frequency. Is also good.

また、上記実施形態では、帯域の狭い光検出器30、140を用いて、戻り光の高周波成分を除去する(直流成分のみを検出する)構成について説明したが、光検出器の出力信号をフィルタ(例えば、ローパスフィルタ)に入力させることで、戻り光の高周波成分を
除去するように構成してもよい。また、制御部40、150において光検出器の出力信号をデジタル化した信号を信号処理することで、戻り光の高周波成分を除去するように構成してもよい。
In the above-described embodiment, the configuration has been described in which the high-frequency components of the return light are removed (only the DC component is detected) by using the photodetectors 30 and 140 having a narrow band, but the output signal of the photodetector is filtered. (For example, a low-pass filter) to remove high-frequency components of the return light. The control units 40 and 150 may be configured to remove the high-frequency component of the return light by performing signal processing on a signal obtained by digitizing the output signal of the photodetector.

1,2…距離測定装置、10,12…レーザー光源、11,13…強度変調器、20…信号発生器、30…光検出器、40…制御部、50,51…光増幅器、60…光サーキュレータ、61…光カプラ、62…レンズ、70…ロックインアンプ、110…レーザー光源、111…レンズ、112…ハーフミラー、120…強度変調器、130…信号発生器、140…光検出器、150…制御部、R…反射点(測定対象) 1, 2, distance measuring device, 10, 12, laser light source, 11, 13 intensity modulator, 20 signal generator, 30 photodetector, 40 control unit, 50, 51 optical amplifier, 60 light Circulator, 61 optical coupler, 62 lens, 70 lock-in amplifier, 110 laser light source, 111 lens, 112 half mirror, 120 intensity modulator, 130 signal generator, 140 photodetector, 150 ... Control unit, R ... Reflection point (measurement target)

Claims (5)

変調信号により強度変調されたレーザー光を発生し、測定対象で反射した戻り光と前記変調信号に基づく基準信号との強度相関をとって強度相関信号を取得し、取得した強度相関信号に基づいて前記測定対象までの距離を測定する距離測定装置であって、
光速をcとし、屈折率をnとし、前記測定対象までの往復距離をLとし、前記変調信号の変調周波数を掃引したときに周期的に変化する強度相関信号の周期をFとしたとき、次式
Figure 2019215165
を満たす周期Fの1/2よりも広い周波数間隔Fで前記変調周波数を掃引したときに周期的に変化する強度相関信号の周期Fに基づいて、次式
Figure 2019215165
により、前記測定対象までの往復距離Lを算出する、距離測定装置。
但し、mは、F/2<F<mF又はmF<Fを満たし、且つ、|1/F−m/F|を最小値とする自然数である。
Generate a laser light intensity-modulated by the modulation signal, obtain an intensity correlation signal by taking an intensity correlation between the return light reflected by the measurement target and a reference signal based on the modulation signal, based on the acquired intensity correlation signal A distance measuring device that measures a distance to the measurement target,
The speed of light and c, and the refractive index is n, the reciprocating distance of the to the measurement target is L, when the period of periodically varying intensity correlation signal when sweeping the modulation frequency of the modulated signal is a F r, Next formula
Figure 2019215165
The based on the period F g of periodically varying intensity correlation signal when the sweeping the modulation frequency at a period F wider frequency interval than half of r F s which satisfies the following equation
Figure 2019215165
A distance measuring device for calculating a reciprocating distance L to the object to be measured.
Here, m is a natural number that satisfies F r / 2 <F s <mF r or mF r <F s and minimizes | 1 / F r −m / F s |.
請求項1において、
互いに異なる波長のレーザー光であって同一の変調周波数で強度変調されたレーザー光を発生する第1光発生部及び第2光発生部と、
前記第1光発生部及び前記第2光発生部に変調信号を出力する信号発生器と、
前記第1光発生部からのレーザー光が前記測定対象で反射した戻り光と、前記第2光発生部からのレーザー光を合波する合波器と、
前記合波器からの光を受光し二光子吸収応答により強度相関信号を出力する光検出器と、
前記信号発生器を制御し、前記光検出器からの強度相関信号に基づき前記測定対象までの距離を算出する制御部とを含む、距離測定装置。
In claim 1,
A first light generation unit and a second light generation unit that generate laser lights of different wavelengths and intensity-modulated at the same modulation frequency;
A signal generator that outputs a modulation signal to the first light generation unit and the second light generation unit;
Return light in which the laser light from the first light generation unit is reflected by the measurement target, and a multiplexer that multiplexes the laser light from the second light generation unit;
A photodetector that receives light from the multiplexer and outputs an intensity correlation signal by a two-photon absorption response;
A control unit that controls the signal generator and calculates a distance to the measurement target based on an intensity correlation signal from the photodetector.
請求項1において、
強度変調されたレーザー光を発生する光発生部と、
前記光発生部からのレーザー光が前記測定対象で反射した戻り光を、前記レーザー光の変調周波数と同一の変調周波数で強度変調する強度変調器と、
前記光発生部及び前記強度変調器に変調信号を出力する信号発生器と、
前記強度変調器で強度変調された光を受光し強度相関信号を出力する光検出器と、
前記信号発生器を制御し、前記光検出器からの強度相関信号に基づき前記測定対象までの距離を算出する制御部とを含む、距離測定装置。
In claim 1,
A light generating unit that generates an intensity-modulated laser beam,
Return light reflected by the measurement target from the laser light from the light generating unit, intensity modulator that intensity-modulates the same modulation frequency as the modulation frequency of the laser light,
A signal generator that outputs a modulation signal to the light generator and the intensity modulator,
A photodetector that receives the light intensity-modulated by the intensity modulator and outputs an intensity correlation signal;
A control unit that controls the signal generator and calculates a distance to the measurement target based on an intensity correlation signal from the photodetector.
請求項2又は3において、
前記光検出器の高域カットオフ周波数は、前記変調信号の変調周波数よりも低い、距離測定装置。
In claim 2 or 3,
The distance measuring device, wherein a high-frequency cutoff frequency of the photodetector is lower than a modulation frequency of the modulation signal.
変調信号により強度変調されたレーザー光を発生し、測定対象で反射した戻り光と前記
変調信号に基づく基準信号との強度相関をとって強度相関信号を取得し、取得した強度相関信号に基づいて前記測定対象までの距離を測定する距離測定方法であって、
光速をcとし、屈折率をnとし、前記測定対象までの往復距離をLとし、前記変調信号の変調周波数を掃引したときに周期的に変化する強度相関信号の周期をFとしたとき、次式
Figure 2019215165
を満たす周期Fの1/2よりも広い周波数間隔Fで前記変調周波数を掃引したときに周期的に変化する強度相関信号の周期Fに基づいて、次式
Figure 2019215165
により、前記測定対象までの往復距離Lを算出する、距離測定方法。
但し、mは、F/2<F<mF又はmF<Fを満たし、且つ、|1/F−m/F|を最小値とする自然数である。
Generate a laser light intensity-modulated by the modulation signal, obtain an intensity correlation signal by taking an intensity correlation between the return light reflected by the measurement target and a reference signal based on the modulation signal, based on the acquired intensity correlation signal A distance measuring method for measuring a distance to the measurement target,
The speed of light and c, and the refractive index is n, the reciprocating distance of the to the measurement target is L, when the period of periodically varying intensity correlation signal when sweeping the modulation frequency of the modulated signal is a F r, Next formula
Figure 2019215165
The based on the period F g of periodically varying intensity correlation signal when the sweeping the modulation frequency at a period F wider frequency interval than half of r F s which satisfies the following equation
Figure 2019215165
Calculating the reciprocating distance L to the object to be measured.
Here, m is a natural number that satisfies F r / 2 <F s <mF r or mF r <F s and minimizes | 1 / F r −m / F s |.
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