CN113419341B - Method and device for reconstructing optical field of optical fiber interferometer in complex manner - Google Patents
Method and device for reconstructing optical field of optical fiber interferometer in complex manner Download PDFInfo
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- CN113419341B CN113419341B CN202110688836.5A CN202110688836A CN113419341B CN 113419341 B CN113419341 B CN 113419341B CN 202110688836 A CN202110688836 A CN 202110688836A CN 113419341 B CN113419341 B CN 113419341B
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Abstract
The invention relates to the field of optics, and relates to the technical contents of optical fiber interferometer signal demodulation, optical field conversion, signal crosstalk, polarization suppression and the like, in particular to a method and a device for reconstructing a complex number of an optical fiber interferometer optical field, wherein the method comprises the following steps: s1: judging the form of the inquiry pulse signal; s2: confirming an interference signal sampling mode according to the inquiry pulse signal form; and S3, interference light field complex reconstruction. The invention can accurately reconstruct the interference signal of the optical fiber optical interferometer actually acquired by the photoelectric detector into a complex expression form, and the complex expression form of the interference signal can be more conveniently and efficiently applied to the basic operation process of the signal, and is a necessary signal processing link for realizing the technologies such as polarization synthesis, crosstalk inhibition and the like.
Description
Technical Field
The invention relates to the field of optics, relates to the technical contents of signal demodulation, light field conversion, signal crosstalk, polarization suppression and the like of an optical fiber interferometer, and particularly relates to a method and a device for reconstructing a complex number of an optical fiber interferometer light field.
Background
The optical fiber interferometer has important application in the fields of optical fiber gyroscopes, optical fiber underwater sound detection, seismic wave detection and the like. The optical coherent detection mode is adopted, so that the optical fiber sensing system has the outstanding advantages of high sensitivity, large dynamic range and the like, and is widely applied to the civil and military fields by combining the inherent advantages of small volume, light weight, electromagnetic interference resistance and the like of the optical fiber sensing system. However, since the sensitivity of the fiber interferometer is high, a lot of environmental disturbances, optical path crosstalk and the like affect the phase, and it is one of the basic technologies to remove the influence of disturbance factors by various signal processing means, and the signal processing technology is generally complex.
In many interference signal processing processes, it is often necessary to perform multiplication and division operations on a plurality of interference results to achieve the purpose of phase information cancellation or phase information growth. The documents "Reduction of crosstalk in interferometric sensor arrays using inversion profiling" (proc. SPIE,2008, vol.704, paper 70044Z) and the patent "Method and apparatus for applying crosstalk of crosstalk and noise in time-division multiplexed interferometric sensor systems (patent No. US 7466422B 2)" report an inversion stripping algorithm that requires subtraction of two interference signals to eliminate crosstalk between different interference channels. The document "Low-Cross and Polarization-Independent multiline interference Fiber Array Based on Fiber Bragg gratings" (. J.Lightw.Technol.34 (2016) 4232-4239) reports a Polarization synthesis algorithm that requires multiplication and subtraction of four interference signals to eliminate Polarization-affecting factors between different interference channels. In practice, the interference result of the fiber interferometer is obtained as a real number expression result after conversion by the photoelectric detector, and can be written as (formula 1)
I (t) represents the light intensity output by the interferometer, A represents the DC component, B represents the AC component amplitude, re represents the operation taking the real part of the complex number,a signal term representing the interferometer is used to,is the noise of the interferometer. When the addition, subtraction, multiplication and division operation of the interference light field is involved, an unnecessary frequency term appears when the (formula 1) is directly adopted for calculation. For two interference signals I 1 (t) and I 2 (t)
Obtaining sum or difference terms of interference signals, i.e. obtainingOrBut in actual operation, directly connecting I 1 (t) and I 2 (t) when addition, subtraction, multiplication, and division are performed, an extra phase term is generated in any case, and the phase term and the desired phase term are often not separated. For example, performing a mixing multiplication yields:
it can be easily deduced that adding, subtracting and dividing will all be a coupled result of a plurality of frequency terms. A simple way to do this is to obtain a complex representation of the interference field, i.e.
The complex expression forms of the two interference light fields are directly subjected to multiplication and division operation to obtainAndthen the real part is calculated to obtainAndthe complex expression form of the visible interference light field is a simplified algorithm and an improved meter in many applicationsThe key of calculation efficiency is that complex processing of the complex signals of the optical fiber interferometer is often simplified and even becomes the basis for ensuring the correctness of the algorithm.
Due to the complexity of the interference light field, signals are often loaded in a phase term of a cosine function, phase shift of frequency spectrum components is brought by directly obtaining a sine term from the cosine term through mathematical transformation, and special design is needed for the complex reconstruction of the interference light field according to the signal characteristics of the interference light field.
Disclosure of Invention
The invention aims to provide a method and a device for reconstructing the complex number of an optical fiber interferometer optical field.
In order to achieve the technical purpose, the technical scheme adopted by the invention is as follows:
a method for reconstructing a complex number of an optical field of an optical fiber interferometer comprises the following steps:
s1: determination of query pulse signal form: if the query pulse signal is a pair of signals with a fixed frequency difference f m The pulse of (3) is judged as a heterodyne modulation signal; if the inquiry pulse is three adjacent pulse pairs with the phase difference of 120 degrees, the inquiry pulse is judged to be a 3 multiplied by 3 modulation signal;
s2: confirming an interference signal sampling mode according to the inquiry pulse signal form: when the interrogation pulse signal is heterodyne modulation signal, a group of interference results is collected, defined as I H (t); when the inquiry pulse signal is a 3 multiplied by 3 modulation signal, three groups of interference results are collected and are respectively marked as I 1 (t)、I 2 (t) and I 3 (t);
S3, interference light field complex reconstruction:
s3.1 set of interference results I for S2 acquisition H (t), the following steps are taken:
s3.1.1 general formula I H (t) is each independently related to cos (2 π f) m t)、sin(2πf m t) mixing to obtain two expressions I C And I S Namely:
s3.1.2 general formula I C And I S Low-pass filtering is respectively carried out, and the retention is less than f m Obtaining the spectral components of expression I C_low And I S_low :
Wherein B represents the amplitude of the alternating current quantity,a signal term representing the interferometer is used to,is the noise of the interferometer;
s3.1.3 Generation of phase term complex optical field expression form I com :
S3.2 three groups of interference results I for S2 acquisition 1 (t)、I 2 (t) and I 3 (t) the following steps are taken:
s3.2.1 general formula I 1 (t)、I 2 (t) and I 3 (t) adding and averaging to obtain a direct current term:
A={I 1 (t)+I 2 (t)+I 3 (t)}/3
s3.2.2 general formula I 1 (t)、I 2 (t) and I 3 (t) subtracting the direct current terms respectively to obtain three alternating current terms,namely:
s3.2.4 Synthesis of Complex representation form I of interferometric results containing phase term of interferometer com :
Preferably, the interrogation pulse signal, which contains the heterodyne modulation signal, is generated by means of optical frequency shift.
Preferably, the interrogation pulse signal, which contains a heterodyne modulation signal, is generated by modulating the light source frequency using a triangular wave.
Preferably, for a query pulse signal containing a 3 × 3 modulated signal, the three sets of phase differences are0 andis generated.
Preferably, the interrogation pulse signal, which contains a 3 × 3 modulation signal, is generated by a 3 × 3 coupler.
The invention also provides a device for reconstructing the complex number of the optical fiber interferometer optical field based on the method, which comprises a modulation signal loading module 1 and a signal processing module 2;
the modulation signal loading module 1 is used for generating a pulse sequence of an interrogation interferometer and injecting the pulse sequence into the optical fiber interferometer, and comprises an interrogation pulse module 101 and an optical fiber interferometer 102, wherein the interrogation pulse module 101 is used for generating the pulse sequence of the interrogation interferometer and injecting the pulse sequence into the optical fiber interferometer 102, the optical fiber interferometer 102 is used for generating an interference optical field and comprises a coupler 102A and Faraday rotators 102B and 102C, and the interrogation pulse module 101 is connected to an input port 102A1 of the optical fiber interferometer 102 through an optical fiber;
the signal processing module 2 is used for performing photoelectric conversion on an interference light field generated by the optical fiber interferometer 102 and then performing complex reconstruction processing, and comprises a photoelectric conversion module 201, an acquisition module 202 and a PC 203; the photoelectric conversion module 201 is used for photoelectric conversion, the acquisition module 202 is used for sampling an electric signal after photoelectric conversion, and the PC 203 is used for storing, displaying and performing complex reconstruction on the sampled signal; the photoelectric conversion module 201 is connected to an acquisition module 202 through a cable, and the acquisition module 202 is connected to the PC 203 through a signal line.
The signal loading module 1 and the signal processing module 2 are connected by an optical fiber, and the connection mode is that the output port 102A2 of the optical fiber interferometer 102 is connected to the photoelectric conversion module 201.
The invention has the following beneficial effects: the invention can accurately reconstruct the interference signal of the optical fiber optical interferometer actually acquired by the photoelectric detector into a complex expression form, and the complex expression form of the interference signal can be more conveniently and efficiently applied to the basic operation process of the signal, and is a necessary signal processing link for realizing the technologies such as polarization synthesis, crosstalk inhibition and the like.
Drawings
FIG. 1 is a flow chart of a method for the complex reconstruction of an optical field of an optical fiber interferometer according to the present invention;
FIG. 2 is a structural diagram of the optical fiber interferometer light field complex reconstruction device of the present invention.
Detailed Description
The present invention is further described with reference to the accompanying drawings, and as shown in fig. 1, the method for performing the complex reconstruction of the optical fiber interferometer optical field according to the present invention includes the following steps for performing different processing on the optical fiber interferometer optical fields of two different modulation methods:
s1: determining interrogation pulse signal form
If the query pulse signal is a pair of signals with a fixed frequency difference f m The pulse of (3) is judged as a heterodyne modulation signal; if the inquiry pulse is three adjacent pulses with the phase difference of 120 degrees, the inquiry pulse is judged to be a 3 multiplied by 3 modulation signal;
s2: confirming an interference signal sampling mode according to the inquiry pulse signal form: when the interrogation pulse signal is a heterodyne modulation signal, a set of interference results, defined as I, is collected H (t), can be expressed as
I H (t) represents the light intensity output by the interferometer after heterodyne modulation, A represents the DC component, B represents the AC component amplitude, re represents the operation of taking the real part of a complex number, 2 pi f m t is the heterodyne modulation term, where f m In order to modulate the frequency of the signal,a signal term representing the interferometer is used to,is the noise of the interferometer.
When the inquiry pulse signal is 3 multiplied by 3 modulation signal, three groups of interference results are collected and respectively marked as I 1 (t)、I 2 (t) and I 3 (t) can be shownIs up to
I 1 (t)、I 2 (t) and I 3 (t) represents the light intensity output by the 3X 3 modulation interferometer, A represents the DC component, B represents the amplitude of the AC component, re represents the operation of taking the real part of the complex number,a signal term representing the interferometer is used to,is the noise of the interferometer.Is the phase of the interferometer itself, I 1 (t)、I 2 (t) and I 3 (t) are respectively superposed by 3 x 3 modulation0 andphase.
S3, interference light field complex reconstruction:
s3.1 set of interference results I for S2 acquisition H (t), the following steps are taken:
s3.1.1 modulation term 2 pi f due to heterodyne m t is human as an introduction item, I H (t) is each independently related to cos (2 π f) m t)、sin(2πf m t) mixing to obtain two expressions I C And I S Wherein:
s3.2.2 general formula I C And I S Low-pass filtering respectively, keeping less than f m Obtaining the spectral components of:
S3.2 three groups of interference results I for S2 acquisition 1 (t)、I 2 (t) and I 3 (t) the following steps are taken:
s3.2.1 general formula I 1 (t)、I 2 (t) and I 3 (t) adding to obtain a DC term
Thus is provided with
A={I 1 (t)+I 2 (t)+I 3 (t)}/3
S3.2.2 general reaction of I 1 (t)、I 2 (t) and I 3 (t) subtracting the direct current terms respectively to obtain three alternating current terms, namely:
s3.2.4 Complex expression form I of synthetic interference result com
It can be seen that the complex expression form of the interference signal light field, that is, the complex light field of the interference signal, can be obtained by adopting the method for synthesizing the interference light complex light field of the invention, and a signal basis is provided for polarization control, multi-channel crosstalk inhibition and the like.
Claims (5)
1. A method for reconstructing a plurality of optical fiber interferometer optical fields is characterized by comprising the following steps:
s1: determination of query pulse signal form: if the inquiry pulse signal is a pair containing a fixed frequency difference f m Is determined to be heterodyneModulating the signal; if the inquiry pulse is three adjacent pulse pairs with the phase difference of 120 degrees, the inquiry pulse is judged to be a 3 multiplied by 3 modulation signal;
s2: confirming an interference signal sampling mode according to the inquiry pulse signal form: when the interrogation pulse signal is a heterodyne modulation signal, a set of interference results, defined as I, is collected H (t); when the inquiry pulse signal is 3 multiplied by 3 modulation signal, three groups of interference results are collected and respectively marked as I 1 (t)、I 2 (t) and I 3 (t);
S3, interference light field complex reconstruction:
s3.1 set of interference results I for S2 acquisition H (t), the following steps are taken:
s3.1.1 general formula I H (t) is each independently related to cos (2 π f) m t)、sin(2πf m t) mixing to obtain two expressions I C And I S Namely:
I C =I H (t)×cos(2πf m t)
I S =I H (t)×sin(2πf m t);
s3.1.2 general formula I C And I S Low-pass filtering is respectively carried out, and the retention is less than f m Obtaining the spectral components of expression I C_low And I S_low :
Wherein, B represents the amplitude of the alternating current quantity,a signal term representing the interferometer is used to,is the noise of the interferometer;
s3.1.3 Generation of phase term complex optical field expression form I com :
S3.2 three groups of interference results I for S2 acquisition 1 (t)、I 2 (t) and I 3 (t) the following steps are taken:
s3.2.1 general formula I 1 (t)、I 2 (t) and I 3 (t) adding and averaging to obtain a direct current term:
A={I 1 (t)+I 2 (t)+I 3 (t)}/3
s3.2.2 general formula I 1 (t)、I 2 (t) and I 3 (t) subtracting the direct current terms respectively to obtain three alternating current terms, namely:
s3.2.4 Synthesis of interferometerComplex representation of interference results of phase terms I com :
2. A method for the complex reconstruction of the optical field of the fiber interferometer according to claim 1, characterized in that: the interrogation pulse signal containing heterodyne modulation signal is generated by optical frequency shift.
3. A method for the complex reconstruction of the optical field of a fiber interferometer according to claim 2, characterized in that: for an interrogation pulse signal containing a heterodyne modulation signal, it is generated by two optical frequency shifters.
5. A method for the complex reconstruction of the optical field of the fiber interferometer according to claim 4, characterized in that: for a query pulse signal containing a 3 x 3 modulated signal, it is generated by a 3 x 3 coupler.
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