CN109282898A - A kind of ultraspectral resolution enhancement methods of deconvolution - Google Patents
A kind of ultraspectral resolution enhancement methods of deconvolution Download PDFInfo
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Abstract
The invention discloses a kind of ultraspectral resolution enhancement methods of deconvolution, and in particular to field of spectral analysis technology.This method initially sets up the excited Brillouin gain spectral mathematical model that single-mode polarization maintaining fiber generates in the spectroscopic analysis system based on stimulated Brillouin effect, then in each spectrum sample point of spectroscopic analysis system, based on excited Brillouin gain spectral mathematical model, deconvolution is carried out to the ultraspectral that measurement obtains, spectrum simulation method is finally approached using pa moral and eliminates spectrum defect that may be present in the ultraspectral that deconvolution obtains, to realize the enhancing of ultraspectral resolution ratio.The spectrum simulation method that the present invention uses, greatly improve the spectral resolution ability of the spectroscopic analysis system based on stimulated Brillouin effect, it breaks through excited Brillouin gain spectrum width to limit the spectral resolution of spectroscopic analysis system, spectral resolution is increased to 1MHz or less by tens limited MHz.
Description
Technical field
The present invention relates to field of spectral analysis technology, and in particular to a kind of ultraspectral resolution ratio enhancing side of deconvolution
Method.
Background technique
Spectrum analysis is the key diagnostic work in the optical applications such as communication, sensing, the generation of molecular spectrum instrument, microwave
Tool.Such as spectral measurement is carried out to the superelevation rate signal transmitted in optical fiber telecommunications system using optical means and obtains modulation frequency
Rate approximation is a kind of effective means of diagnosis and monitoring transmission signal；Laser spectrum includes radiation characteristic most information,
Therefore laser spectrum measurement plays a significant role the design and implementation of optic network.
Currently, it has wide spectral range and high scanning speed etc. the most commonly used is the spectroanalysis instrument based on optical grating diffraction
Advantage, its usual best instrumental resolution are limited in~2GHz.When needing higher resolution, generally use based on inequality
Or the spectroanalysis instrument of heterodyne technology.Inequality technology needs a frequency very close to the local oscillator in source to be measured, is generally difficult to
It realizes, especially for ultrahigh resolution (< 10MHz).Heterodyne technology can overcome this defect, although the technology more mainstream,
But its disadvantage is it is also obvious that it needs acousto-optic modulator and the expensive optical element driving such as RF or microwave source；It needs to grow very much
Optical fiber, such as 5KHz resolution ratio needs 40Km optical fiber, and the loss of optical fiber at this time and nonlinear effect cannot be ignored, this can shadow
Ring final signal.
With New Generation Optical network Development, the applications of especially various advanced modulation formats and new optical devices
Development, they usually require MHz magnitude or preferably spectrally resolved ability, the above spectral analysis technique are obviously difficult to meet to answer
Use demand.For this status, there is a kind of up-and-coming ultraspectral analysis principle -- based on optical fiber stimulated Brillouin
Effect.The basic principle of the spectral analysis technique is that stimulated Brillouin scattering allows to select the special spectrum of optical signalling to be measured
Ingredient amplifies to be analyzed.I.e. the narrowband pump signal of measured signal and wavelengths characteristic presses opposite direction of propagation injection fibre,
When pump signal intensity is sufficiently large, and meets required spatial coherence, excited Brillouin effect can occur in a fiber
It answers, generates a backscatter signal opposite with the pump signal direction of propagation, which is equal to pump signal frequency and adds
Upper and pump signal frequency dependence excited Brillouin frequency displacement, backscatter signal intensity are strong by pump signal and measured signal
Degree determines, while also related with the factors such as the fiber type of interaction, length, polarization characteristic.Therefore by constantly change into
Penetrate pump signal frequency, so that it may realize the spectral component measurement of respective frequencies range to measured signal.
For spectroscopic analysis system, the knot that obtained spectrum is usually instrumental line shape function Yu real spectrum convolution is measured
Fruit, that is, the best spectral resolution of spectroscopic analysis system are limited by instrumental line shape function.It is imitated based on excited Brillouin
The spectral analysis technique answered, its instrumental line shape function are excited Brillouin gain spectral, their best spectral resolution energy
Power is limited by excited Brillouin gain spectrum width, and best level can only arrive tens of MHz, although existing several based on being excited
The spectral analysis technique of brillouin effect is such as excited as the Chinese patent of Patent No. ZL201610323536.6 uses
Brillouin gain spectrum is superimposed the methods of loss spectra and realizes spectrum simulation, but brings spectral signal-noise ratio to reduce etc. therewith and ask
Topic, and spectral resolution improvement is limited, and current existing method still cannot break through excited Brillouin gain spectrum width for light
The limitation of spectral resolution, it is difficult to further increase.Therefore, it is limited to the limitation of excited Brillouin gain spectrum width, based on being excited cloth
In the spectroscopic analysis system of deep effect have been unable to meet the demand to more high spectral resolution in certain occasions, there are spectrum point
Distinguish ability bottleneck problem.
Summary of the invention
The purpose of the present invention is in view of the above deficiencies, propose a kind of light that can break through the introducing of excited Brillouin gain spectrum width
The ultraspectral resolution enhancement methods of the deconvolution of the resolution ratio enhancing of ultraspectral are realized in spectral resolution limitation.
The present invention specifically adopts the following technical scheme that
A kind of ultraspectral resolution enhancement methods of deconvolution, comprising the following steps:
Step 1: single-mode polarization maintaining fiber in the spectroscopic analysis system based on stimulated Brillouin effect being established according to formula (1) first
The mathematical model of the excited Brillouin gain spectral generated in link:
Wherein,gB(ν) is excited Brillouin gain spectral, g0For excited Brillouin spectrum
Peak value, C and 1-C are that constant respectively indicates weight shared by lorentzian curve and Gaussian lineshape, p=(n2- 1) (n+2)/3 is optical fiber
Electrostriction coefficient, ρ be optical fiber core material density, c be vacuum in the light velocity, νBFor brillouin gain spectral frequency (unit
For Hz), △ νpFor pump signal spectrum width, νB=1/ (2 π TB) it is brillouin gain spectrum width, TBFor the phonon lifetime in optical fiber, gesp
(ν) indicates the spectral components of the introducings such as optical fiber spontaneous brillouin scattering, is usually indicated with Gaussian function line style；
Step 2: the spectrum that spectroscopic analysis system measurement obtains is using S in formula (2)m(ν) is indicated, in spectroscopic analysis system
Each spectrum sample point is based on excited Brillouin gain spectral mathematical model, carries out deconvolution to the ultraspectral that measurement obtains,
Sm(ν)=Sr(ν)×gB(ν) (2)
The spectrum S that spectroscopic analysis system measurement obtainsm(ν) can be typically expressed as real spectrum Sr(ν) and excited Brillouin increase
Benefit spectrum gBThe convolution of (ν), the spectrum S that measurement is obtainedm(ν) remove spectroscopic analysis system instrumental line shape function, that is, remove by
Swash brillouin gain spectrum gBThe real spectrum of measurement target, obtained resolution can be obtained in the influence of (ν) for measure spectrum
The target optical spectrum S of rate enhancingp(ν), as shown in formula (3):
Sp(ν)=IFFT { FFT (Sm(ν))./FFT(gB(ν))} (3)
The spectrum S that measurement is obtainedm(ν) removes the instrumental line shape function of spectroscopic analysis system, i.e. removal excited Brillouin
The real spectrum of measurement target can be obtained, so that spectroscopic analysis system can be realized in influence of the gain spectral for measure spectrum
Spectrum simulation, this process are deconvolution, the target optical spectrum S of obtained resolution ratio enhancingp(ν) can be given by:
Sp(ν)=IFFT { FFT (Sm(ν))./FFT(gB(ν))} (4)
Wherein, FFT indicates Fourier transformation, and IFFT indicates inverse Fourier transform；
Step 3: spectrum present in the ultraspectral that spectrum simulation method elimination deconvolution obtains being approached using pa moral and is lacked
It falls into, to target optical spectrum Sp(ν) carries out spectrum simulation, and is compared with fitting result, if the two deviation is more than 20%,
Spectrum S is replaced with match valuepThe correspondence spectrum sample point of (ν), to finally obtain the target optical spectrum S of resolution ratio enhancinguh(ν)。
The invention has the following beneficial effects:
(1) ultraspectral resolution enhancement methods proposed by the present invention, without being updated to hardware, it is only necessary in spectrum
Data processing link increases the ultraspectral resolution enhancement algorithm based on deconvolution, can break through excited Brillouin gain spectral
The spectral resolution limitation that width introduces is realized the resolution ratio enhancing of ultraspectral, is had the characteristics that simple, efficient；
(2) present invention can easily be applied to the existing ultraspectral analysis system based on stimulated Brillouin effect, and
Spectral resolution is increased to 1MHz or less.
Detailed description of the invention
Fig. 1 is the ultraspectral analysis system schematic diagram based on stimulated Brillouin effect.
Wherein, 1 is measured signal light, and 2 be single-mode polarization maintaining fiber link；3 be optical circulator, and 4 be tunable laser light
Source, 5 be excited Brillouin gain spectral, and 6 be detector.
Specific embodiment
A specific embodiment of the invention is described further in the following with reference to the drawings and specific embodiments:
As shown in Figure 1, be the ultraspectral analysis system schematic diagram based on stimulated Brillouin effect, measured signal light 1 with
The pump light that tunable laser source 4 through optical circulator 3 exports generates excited Brillouin effect in single mode fiber link 2
It answers, the frequency-selecting amplification spectral signal of generation is received through optical circulator 3 by detector 6, by continuously changing tunable laser light
The wavelength for the pump light that source 4 exports, can realize the spectrum analysis of measured signal light 1.A kind of ultraspectral resolution of deconvolution
Rate Enhancement Method, comprising the following steps:
Step 1: single-mode polarization maintaining fiber in the spectroscopic analysis system based on stimulated Brillouin effect being established according to formula (1) first
The mathematical model of the excited Brillouin gain spectral generated in link:
Wherein,gB(ν) is excited Brillouin gain spectral, g0For excited Brillouin spectrum
Peak value, C and 1-C are that constant respectively indicates weight shared by lorentzian curve and Gaussian lineshape, p=(n2- 1) (n+2)/3 is optical fiber
Electrostriction coefficient, ρ be optical fiber core material density, c be vacuum in the light velocity, νBFor brillouin gain spectral frequency (unit
For Hz), △ νpFor pump signal spectrum width, νB=1/ (2 π TB) it is brillouin gain spectrum width, TBFor the phonon lifetime in optical fiber, gesp
(ν) indicates the spectral components of the introducings such as optical fiber spontaneous brillouin scattering, is usually indicated with Gaussian function line style；
Step 2: the spectrum S that spectroscopic analysis system measurement obtainsm(ν) can be typically expressed as real spectrum Sr(ν) and it is excited cloth
In deep gain spectral gBThe convolution of (ν), this will obviously cause the broadening of measure spectrum, lead to the spectrally resolved of spectroscopic analysis system
Rate is deteriorated, this is also the main source for limiting the best spectral resolution of spectroscopic analysis system；Spectroscopic analysis system measurement obtains
Spectrum is using S in formula (2)m(ν) is indicated, in each spectrum sample point of spectroscopic analysis system, is based on excited Brillouin gain spectral
Mathematical model carries out deconvolution to the ultraspectral that measurement obtains,
Sm(ν)=Sr(ν)×gB(ν) (2)
The spectrum S that spectroscopic analysis system measurement obtainsm(ν) can be typically expressed as real spectrum Sr(ν) and excited Brillouin increase
Benefit spectrum gBThe convolution of (ν), the spectrum S that measurement is obtainedm(ν) remove spectroscopic analysis system instrumental line shape function, that is, remove by
Swash brillouin gain spectrum gBThe influence of (ν) for measure spectrum can be obtained the real spectrum of measurement target, obtain resolution ratio
The target optical spectrum S of enhancingp(ν), as shown in formula (3):
Sp(ν)=IFFT { FFT (Sm(ν))./FFT(gB(ν))} (3)
The spectrum S that measurement is obtainedm(ν) removes the instrumental line shape function of spectroscopic analysis system, i.e. removal excited Brillouin
The real spectrum of measurement target can be obtained, so that spectroscopic analysis system can be realized in influence of the gain spectral for measure spectrum
Spectrum simulation.This process is deconvolution, the target optical spectrum S of obtained resolution ratio enhancingp(ν) can be given by:
Sp(ν)=IFFT { FFT (Sm(ν))./FFT(gB(ν))} (4)
Wherein, FFT indicates Fourier transformation, and IFFT indicates inverse Fourier transform；
Step 3: in view of there may be noises of defect, measurement process etc. to introduce error, is excited cloth for spectroscopic analysis system
In the factors such as deep gain spectral mathematical model error that may be present, may cause the target for the resolution ratio enhancing that deconvolution obtains
Spectrum SpThere are the spectrum defects such as ghost line in (ν), approach spectrum simulation method using pa moral and eliminate the superelevation light that deconvolution obtains
Spectrum defect present in spectrum, to target optical spectrum Sp(ν) carries out spectrum simulation, and is compared with fitting result, if the two
Deviation is more than 20%, then replaces spectrum S with match valuepThe correspondence spectrum sample point of (ν), to finally obtain resolution ratio enhancing
Target optical spectrum Suh(ν).It in conjunction with the spectrophotometry based on stimulated Brillouin effect, analyzes by contrast, Pa De approaches fitting
Method effect is best.Therefore the present invention approaches the amendment that approximating method realizes deconvolution spectrum using pa moral, finally obtains resolution
The target optical spectrum S of rate enhancinguh(ν)。
Certainly, the above description is not a limitation of the present invention, and the present invention is also not limited to the example above, this technology neck
The variations, modifications, additions or substitutions that the technical staff in domain is made within the essential scope of the present invention, also should belong to the present invention
Protection scope.
Claims (1)
1. a kind of ultraspectral resolution enhancement methods of deconvolution, which comprises the following steps:
Step 1: single-mode polarization maintaining fiber link in the spectroscopic analysis system based on stimulated Brillouin effect being established according to formula (1) first
The mathematical model of the excited Brillouin gain spectral of middle generation:
Wherein,gB(ν) is excited Brillouin gain spectral, g0For excited Brillouin spectrum peak,
C and 1-C is that constant respectively indicates weight shared by lorentzian curve and Gaussian lineshape, p=(n2- 1) (n+2)/3 is the electroluminescent of optical fiber
Coefficient of dilatation, ρ are optical fiber core material density, and c is the light velocity in vacuum, νBFor brillouin gain spectral frequency (unit Hz),
△νpFor pump signal spectrum width, νB=1/ (2 π TB) it is brillouin gain spectrum width, TBFor the phonon lifetime in optical fiber, gesp(ν) table
Show the spectral components of the introducings such as optical fiber spontaneous brillouin scattering, is usually indicated with Gaussian function line style；
Step 2: the spectrum that spectroscopic analysis system measurement obtains is using S in formula (2)m(ν) is indicated, in each of spectroscopic analysis system
Spectrum sample point is based on excited Brillouin gain spectral mathematical model, carries out deconvolution to the ultraspectral that measurement obtains,
Sm(ν)=Sr(ν)×gB(ν) (2)
The spectrum S that spectroscopic analysis system measurement obtainsm(ν) can be typically expressed as real spectrum Sr(ν) and excited Brillouin gain spectral
gBThe convolution of (ν), the spectrum S that measurement is obtainedm(ν) removes the instrumental line shape function of spectroscopic analysis system, that is, removes and be excited in cloth
Deep gain spectral gBThe real spectrum S of measurement target can be obtained in the influence of (ν) for measure spectrumr(ν), obtained resolution ratio increase
Strong target optical spectrum Sp(ν), as shown in formula (3):
Sp(ν)=IFFT { FFT (Sm(ν))./FFT(gB(ν))} (3)
The spectrum S that measurement is obtainedm(ν) removes the instrumental line shape function of spectroscopic analysis system, i.e. removal excited Brillouin gain spectral
Influence for measure spectrum, can be obtained the real spectrum of measurement target, so that the spectrum point of spectroscopic analysis system can be realized
Resolution enhancing, this process is deconvolution, the target optical spectrum S of obtained resolution ratio enhancingp(ν) can be given by:
Sp(ν)=IFFT { FFT (Sm(ν))./FFT(gB(ν))} (4)
Wherein, FFT indicates Fourier transformation, and IFFT indicates inverse Fourier transform；
Step 3: spectrum simulation method is approached using pa moral and eliminates spectrum defect present in the ultraspectral that deconvolution obtains, it is right
Target optical spectrum Sp(ν) carries out spectrum simulation, and is compared with fitting result, if the two deviation is more than 20%, with fitting
Value replaces spectrum SpThe correspondence spectrum sample point of (ν), to finally obtain the target optical spectrum S of resolution ratio enhancinguh(ν)。
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| CN113310575A (en) * | 2021-05-28 | 2021-08-27 | 中电科思仪科技股份有限公司 | Method and device for removing spectral signal substrate measured by Brillouin spectrometer |
| CN114486179A (en) * | 2022-02-21 | 2022-05-13 | 电子科技大学中山学院 | Deconvolution filtering high-precision optical fiber quality detection method and system |
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| US20070171401A1 (en) * | 2005-12-21 | 2007-07-26 | Advantest Corporation | Distortion measuring apparatus, method, program, and recording medium |
| CN105181152A (en) * | 2015-08-28 | 2015-12-23 | 苏州光格设备有限公司 | Calculation method for frequency shift of distributed Brillouin scattered spectrum |
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| CN114486179A (en) * | 2022-02-21 | 2022-05-13 | 电子科技大学中山学院 | Deconvolution filtering high-precision optical fiber quality detection method and system |
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