CN108155946A - More pumping phase-sensitive amplifiers and generation method based on highly nonlinear optical fiber - Google Patents
More pumping phase-sensitive amplifiers and generation method based on highly nonlinear optical fiber Download PDFInfo
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Abstract
The present invention proposes a kind of more pumping phase-sensitive amplifiers and generation method based on highly nonlinear optical fiber, to solve to be not likely to produce the response of quadravalence stepped phase in existing PSA, it is impossible to the problem of realizing the phase regeneration of QPSK signals；Step is：There is N number of light wave to interact during four-wave mixing, obtain following N number of coupled differential equation；Determine that how many specific wavelength takes part in four-wave mixing process；All wavelength for participating in four-wave mixing process are included in the complex amplitude and phase for calculating output wave in step 1 in N number of coupled differential equation, obtain phase-sensitive amplifier；Using multimode type to the configuration parameter optimization of phase-sensitive amplifier, three kinds of more pumping PSA based on HNLF are obtained for QPSK signal regenerations.The present invention designs the PSA of high energy efficiency by optimizing the initial power of pump light and flashlight, and obtain the response of quadravalence stepped phase with relatively low nonlinear phase shift carries out phase regeneration to QPSK signals.
Description
Technical field
The present invention relates to the technical field of optic communication more particularly to a kind of more pumping phases based on highly nonlinear optical fiber are quick
Feel amplifier and generation method.
Background technology
In optical communications, phase-sensitive amplifier (Phase sensitive amplifier, PSA) is in low noise amplification
Field is eliminated with phase noise to be widely used.In high speed optical communication system, in order to adapt to the network of rapid growth
Flow, the advanced modulation formats with spectral efficient become research hotspot.At present, the 100Gb/ of QPSK modulation formats is utilized
S Transmission systems are had been put into business network.In order to expand the scale of high-speed QPSK optical-fiber network, study to eliminate net
The regenerator of integrated noise has great importance in network node-node transmission.
Phase-sensitive amplifier (PSA) can amplify differential phase keying (DPSK) (differential phase shift
Keying, DPSK) in-phase component in signal and the quadrature component that decays simultaneously, therefore can effectively inhibit in dpsk signal
Phase noise.The complex amplitude of signal can be projected in gain axis by traditional PSA, therefore for QPSK signals, can be turned
It is changed to binary phase phase-shift keying (PSK) (binary phase shift keying, BPSK) signal and direct signal can not be carried out
Regeneration.And parameter can be configured more by change by pumping PSA, realize the response of quadravalence stepped phase, therefore can be adapted for
The regeneration of QPSK signals.
At present the PSA based on different nonlinear optical mediums is had been carried out being extensively studied, wherein based on high non-linearity
The PSA of optical fiber (Highly nonlinear fiber, HNLF) is because of the super fast response speed (10 of Kerr effect-14S) have
The features such as ultra high speed signal processing, low loss characteristic and dispersion tailoring, makes it show one's talent in numerous PSA.Based on HNLF
Phase-sensitive amplifier because its super fast response speed, low-loss and dispersion are controllable the features such as enable the structure of PSA flexible
It is changeable.By rationally adjust more pumping phase-sensitive amplifiers based on HNLF configuration parameter just can obtain ideal gain and
Response curve.Double pumping action degeneracy PSA is usually used to because of its characteristic with mutually amplification, reverse phase attenuation (response of binary system stepped phase)
Bpsk signal is regenerated.But for the regeneration of QPSK signals, then need one there is the transfer of quadravalence stepped phase
The PSA of function.PSA basic principles based on HNLF can be understood as energy and be produced in flashlight, pump light and four-wave mixing
Transfer between raw sideband.The PSA based on HNLF for possessing low-dispersion slope will necessarily generate many high-order sidebands because of FWM, in
Be often using 7 wave patterns (such as：Double pumping action degeneracy PSA) calculate the high-gain extinction ratio of PSA.It is high in this model
Rank sideband can promote phase sensitive to decay by consuming pump power, so as to obtain higher gain extinction ratio.When having more
When more wavelength is participated in during four-wave mixing (FWM) in PSA, it is necessary to make corresponding expansion to 7 original wave patterns
Zhan Liao.For more pumping PSA with the distribution of various frequencies and incoming wave power distribution, just need correspondingly to establish one at this time
A more wave numerical models.
Invention content
It is responded for quadravalence stepped phase is not likely to produce in existing PSA, it is impossible to realize the regenerated skill of phase of QPSK signals
Art problem, the present invention propose a kind of more pumping phase-sensitive amplifiers and generation method based on highly nonlinear optical fiber, it is proposed that
Three kinds of phase-sensitive amplifiers based on highly nonlinear optical fiber, and pass through and optimize their configuration parameter and make it as far as possible smaller
Nonlinear phase shift (nonlinear phase shift, NPS) in the case of have quadravalence stepped phase response, realize to QPSK
Signal carries out regenerated function.
In order to achieve the above object, the technical proposal of the invention is realized in this way：It is a kind of based on highly nonlinear optical fiber
More pumping phase-sensitive amplifier generation methods, its step are as follows：
Step 1：There is N number of light wave to interact during four-wave mixing, including pump light, flashlight and generation
Four-wave mixing sideband ignores the phase-sensitive amplifier of some special constructions, obtains following N number of coupled differential equation：
Wherein, AiFor the complex amplitude of N number of light wave, i=1,2 ..., N；Ai(z)、z、α、Ap、Am、Aq、Δβi,q,q,oPoint
Not Biao Shi i light waves amplitude, light wave distance in a fiber, fibre loss, four-wave mixing generate light wave n amplitudes conjugation, pumping
The light wave o amplitudes that light wave amplitude, the light wave m amplitudes of four-wave mixing generation, four-wave mixing generate are conjugated, the light that four-wave mixing generates
Wave q amplitudes, phase mismatch；Δβi,p,m,n=βp+βm-βi-βn, β is light wave transmissions constant beta=1/2* β2, wherein β2For optical fiber
Second order dispersion coefficient, βp、βm、βi、βnThe respectively transmission of Different lightwave p, m, i and n；The π n of γ=22/λAeffIt is non-for optical fiber
Linear coefficient, n2For nonlinear fiber refractive index, AeffFor effective core area；
Step 2：Determine that how many specific wavelength takes part in four-wave mixing process；
Step 3：All wavelength for participating in four-wave mixing process are included in step 1 in N number of coupled differential equation and are calculated
The complex amplitude and phase of output wave, obtain phase-sensitive amplifier；
Step 4：Using multimode type to the configuration parameter optimization of phase-sensitive amplifier, it is quick to obtain desired phase
Feel gain and the phase characteristic of amplifier, obtain more pumping phase-sensitive amplifiers for QPSK signal regenerations.
Determine participate in the specific number of four-wave mixing process medium wavelength method be：Being found in N number of wavelength all can expire
The wavelength combination of sufficient energy conversion relation；The wavelength combination found out is classified, is divided into nondegenerate two-photon process process and letter
And four-wave mixing process；Repeated combination during nondegenerate two-photon process process and degeneration four-wave mixing to being found out respectively
It is arranged, the process for representing same four-wave mixing is denoted as a FWM process；All FWM processes sorted out are passed through into N
The complex amplitude of a coupled differential equation calculation output wave.
It is described calculate output wave the method for complex amplitude be：The mode propagation constant β of all light waves is calculated, is determined according to before
FWM processes wavelength combination and each wavelength frequencies omegai, calculate the phase mismatch Δ β of all FWM processesi,p,m,n=βp
+βm-βi-βp；FWM processes according to sorting out write out N number of coupled differential equation respectively, and input light wave is initialized, really
Power and phase parameter when fixed pumping, signal and initial four-wave mixing sideband；To listed N number of coupled differential equation into
Row integral and calculating solves the output complex amplitude and phase of each light wave.
The double pumping action nondegenerate phase-sensitive amplifier of quadravalence stepped phase transfer function can be realized by three rank sidebands
Output signal be expressed as：Wherein A includes phase for output signalsComplex amplitude, φ is defeated
Enter the phase of signal, m1For its weight coefficient.
The double pumping action nondegenerate phase-sensitive amplifier of quadravalence stepped phase transfer function can be realized by five rank sidebands
Output signal be expressed as：Wherein, A includes phase for output signalsComplex amplitude, φ is
The phase of input signal, m2For its weight coefficient.
The conversion of signal is realized using the third multiple-harmonic phase-sensitive amplifier, is obtained amplitude and is retained multi resonant wave phase
The output signal of sense amplifier is expressed as：Wherein, A includes phase for output signal
Position φsComplex amplitude, φ be input signal phase, m3And m4For its weight coefficient.
Draw above-mentioned three ranks double pumping action nondegenerate phase-sensitive amplifier, five rank double pumping action nondegenerate phase-sensitive amplifiers
The frequency spectrum of pump light, flashlight and sideband with amplitude reservation multiple-harmonic three kinds of phase-sensitive amplifiers of phase-sensitive amplifier
There are 4 in distribution diagram, three rank double pumping action nondegenerate phase-sensitive amplifiers and five rank double pumping action nondegenerate phase-sensitive amplifiers
Input light, amplitude, which retains multiple-harmonic phase-sensitive amplifier, 6 input lights, including input pumping light, input signal light, input
A total of 11 light waves are participated in amplitude reservation multiple-harmonic phase-sensitive amplifier including the sideband that sideband is generated with FWM；With one
11 coupled differential equations are organized to represent the amplitude for all light waves for being participated in these three phase-sensitive amplifiers FWM processes
Ai, i=1,2 ..., 11；This 11 light waves, which can be formed, to be met the combinations of FWM processes and shares 610, including 560 non-letters
And four-wave mixing process and 50 degeneration four-wave mixing processes；The combination of these FWM processes is arranged, obtain 70 it is different
The nondegenerate two-photon process process degeneration four-wave mixing process different from 25；Calculate different frequency ω during each FWMi
Mode propagation constant；Incoming wave is initialized, determines its power and phase parameter to 11 coupled differential equation solutions
Integration can obtain the amplitude and phase of all waves.
A segment length is used as 600m, zero-dispersion wavelength 1542nm, nonlinear factor 10W-1km-1, decay to
0.65dB/km, chromatic dispersion gradient 0.026psnm-2km-1Highly nonlinear optical fiber, give the second pump wavelength p2In 1544nm
Position, for flashlight at the wavelength interval δ λ away from this about 0.3nm, other wavelength can be by the second pump wavelength p2And wave
Long interval δ λ are determined；
In three rank double pumping action nondegenerate phase-sensitive amplifiers, it is made that following optimization respectively to initialization power：Two
A pumping light power Pp2For 14.1dBm and Pp3For 14.1dBm, signal light power Ps is 2dBm, three rank sideband P3S is 2dBm,
He is all positioned below -50dBm by the power of wavelength, when showing the ideal quadravalence ladder phase that can realize QPSK signal regenerations
During the receptance function of position, gain extinction ratio can reach 5.7dB；
In five rank double pumping action nondegenerate phase-sensitive amplifiers, two pump powers are optimized for Pp1=Pp2=
12.3dBm, signal light power Ps=2dBm and five rank sideband power P5s=2dBm；When acquisition quadravalence stepped phase receptance function
When, gain extinction ratio can reach 3.6dB；
In amplitude retains multiple-harmonic phase-sensitive amplifier, three pumping light powers are optimized for Pp1=Pp2=Pp3=
10dBm, flashlight Ps=2dBm, three order harmonics power Ps3s=2dBm and five order harmonics power Ps5s=2dBm, in addition to this its
He is all positioned below -50dBm by light wave power, and when the phase transfer function of its acquisition quadravalence ladder, change in gain amount only has
0.5dBm。
Beneficial effects of the present invention：More wave numerical models of more pumping PSA based on HNLF, it can be adapted for having more
The situation of the light wave of a different frequency, power and phase assignments；11 wave patterns can be suitable for the overwhelming majority based on HNLF's
PSA is designed, and inputs light wave by initialization, 11 coupled differential equation groups of numerical integration solution can make the somewhat complex design process of PSA
It greatly simplifies；Three kinds are proposed to reduce the scheme of more pumping PSA nonlinear phase shifts based on HNLF using 11 wave patterns, and
The response of quadravalence stepped phase can be obtained；When nonlinear phase shift is respectively 0.31,0.20 and 0.18, by optimize pump light with
The initial power of flashlight has devised the PSA with high energy efficiency, and relatively low nonlinear phase shift obtains quadravalence stepped phase
Response can be used in carrying out phase regeneration to QPSK signals.
Description of the drawings
In order to illustrate more clearly about the embodiment of the present invention or technical scheme of the prior art, to embodiment or will show below
There is attached drawing needed in technology description to be briefly described, it should be apparent that, the accompanying drawings in the following description is only this
Some embodiments of invention, for those of ordinary skill in the art, without creative efforts, can be with
Other attached drawings are obtained according to these attached drawings.
Fig. 1 is the frequency assignment chart of more pumping PSA.
Trajectory diagrams of the Fig. 2 for three kinds of PSA output amplitudes of the invention in complex plane, three rank double pumping action degeneracy PSA：Point
Line；Five rank double pumping action degeneracy PSA：Dotted line；Amplitude retains multiple-harmonic PSA：Solid line.
The frequency spectrum distribution that Fig. 3 is three kinds of PSA of the present invention, dotted line is input light wave, wherein (a) is three rank double pumping action nondegenerates
Phase-sensitive amplifier, (b) are five rank double pumping action nondegenerate phase-sensitive amplifiers, and (c) is quick for amplitude reservation multi resonant wave phase
Feel amplifier.
The relational graph of phase sensitive gain and input signal phase when Fig. 4 is present invention verification, dotted line：The letter of three rank double pumping actions
And PSA；Dotted line：Five rank double pumping action degeneracy PSA；Solid line：Amplitude retains multiple-harmonic PSA.
The relational graph of phase of output signal and input signal phase when Fig. 5 is present invention verification, dotted line：The letter of three rank double pumping actions
And PSA；Dotted line：Five rank double pumping action degeneracy PSA；Solid line：Amplitude retains multiple-harmonic PSA.
The relational graph of phase sensitive gain and input signal phase when Fig. 6 is parameter optimization of the present invention, dotted line：Three rank double pumps
Pu degeneracy PSA；Dotted line：Five rank double pumping action degeneracy PSA；Solid line：Amplitude retains multiple-harmonic PSA.
The relational graph of phase of output signal and input signal phase when Fig. 7 is parameter optimization of the present invention, dotted line：Three rank double pumps
Pu degeneracy PSA；Dotted line：Five rank double pumping action degeneracy PSA；Solid line：Amplitude retains multiple-harmonic PSA.
Fig. 8 retains multiple-harmonic PSA in different relative phase Φ for amplitude of the present invention, phase sensitive gain and input signal
The relational graph of phase, dotted line：Φ=0；Dotted line：The π of Φ=0.5；Solid line：The π of Φ=1；Chain-dotted line：The π of Φ=1.5.
Fig. 9 retains multiple-harmonic PSA in different relative phase Φ for amplitude of the present invention, phase of output signal and input signal
The relational graph of phase, dotted line：Φ=0；Dotted line：The π of Φ=0.5；Solid line：The π of Φ=1；Chain-dotted line：The π of Φ=1.5.
Specific embodiment
Below in conjunction with the attached drawing in the embodiment of the present invention, the technical solution in the embodiment of the present invention is carried out clear, complete
Site preparation describes, it is clear that described embodiment is only part of the embodiment of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, those of ordinary skill in the art are obtained every other under the premise of not making the creative labor
Embodiment shall fall within the protection scope of the present invention.
A kind of more pumping phase-sensitive amplifier generation methods based on highly nonlinear optical fiber, as shown in Figure 1, there is N number of light
Wave interacts during FWM, including pump light, flashlight and the FWM of generation sidebands.Ignoring some special knots
After the PSA of structure, following N number of coupled differential equation, wherein A can be obtainedi(i=1,2 ..., N) is the complex amplitude of N number of light wave：
Wherein, Ai(z)、z、α、Ap、Aq、Δβi,q,q,oRepresent respectively i light waves amplitudes, light wave in a fiber away from
The light wave n amplitudes conjugation that is generated from, fibre loss, four-wave mixing, pump light wave-amplitude, four-wave mixing generation light wave o amplitudes
Light wave q amplitudes, the phase mismatch that conjugation, four-wave mixing generate；Δβi,p,m,n=βp+βm-βi-βn, Δ β be phase mismatch, βp、
βm、βi、βnThe respectively transmission of Different lightwave p, m, i and n；The π n of γ=22/λAeffFor nonlinear fiber coefficient, in equation
N2With AeffRespectively nonlinear fiber refractive index and effective core area.The coupled wave equation is by fibre loss, from phase tune
Make (SPM) effect, Cross-phase Modulation (XPM) effect, nondegenerate two-photon process (ND-FWM) effect and degeneration four-wave mixing (D-
FWM) five parts of effect form.The efficiency of its FWM depends on and phase mismatch Δ βi,p,m,n=βp+βm-βi-βp, it is different in equation
What lower target " β " represented is the mode propagation constant of Different lightwave.
It is sufficiently complex due to pumping the FWM situations occurred in PSA in applying to pump the N wave patterns of PSA more more, it is all
Can ND-FWM and D-FWM processes can occur simultaneously between multi-wavelength.It needs all wavelength for participating in FWM processes being included in above-mentioned
N number of coupled differential equation, using the configuration parameter optimization to PSA, it will be able to which gain and the phase for obtaining desired PSA are special
Property.And it determines how many specific wavelength and takes part in FWM processes and then become the key of this process.
Simple introduction is participated in the determination process of the specific number of FWM process medium wavelengths below.Firstly, it is necessary in N number of wave
All wavelength combinations that disclosure satisfy that energy conversion relation are found in length, such as：ωi+ωn=ωp+ωmAnd ωi+ωo=2
ωq, ωi, ωn, ωp, ωm, ωo, ωqThe angular frequency of Different lightwave i, n, p, m, o and q are represented respectively.Second step needs are done
It is that the combination that these are found out is classified, is divided into nondegenerate two-photon process (ND-FWM) process and degeneration four-wave mixing (D-
FWM) process.Then the repeated combination found out is arranged, such as ω during both FWM respectively1+ω4=ω2+
ω3, ω4+ω1=ω2+ω3, ω1+ω4=ω3+ω2, ω4+ω1=ω3+ω2That this four combinations represent is same FWM
Process can only be denoted as a FWM process.All FWM processes sorted out are finally calculated into output wave by formula (1)
Complex amplitude.
And during output wave complex amplitude is calculated, it is necessary first to the mode propagation constant β of all light waves is calculated, according to it
The wavelength combination of preceding determining FWM processes and the frequencies omega of each wavelengthi, i=1,2 ..., N need to calculate all FWM processes
Phase mismatch Δ βi,p,m,n=βp+βm-βi-βn.Then N number of coupled differential equation is write out, and to defeated according to the FWM sorted out respectively
Enter light wave to be initialized, that is, determine power and phase parameter when pumping, signal and initial sideband.Finally to listed
N number of coupled differential equation carry out integral and calculating, with regard to the output complex amplitude of each light wave and phase can be solved.
Next three kinds of more pumping PSA for QPSK signal regenerations will be introduced.The first can be real by three rank sidebands
The double pumping action nondegenerate PSA of existing quadravalence stepped phase transfer function, output signal be represented by it is as follows,
Second is the double pumping action nondegenerate that can be also realized by its five ranks sideband quadravalence stepped phase transfer function
PSA, output signal be represented by it is as follows,
But both PSA being since amplitude signal output can be influenced by PSA phase sensitive gains and generate concussion, from
And amplitude noise can be additionally introduced.
In order to inhibit this apparent phase-magnitude noise, signals below can be realized using the third multiple-harmonic PSA
The amplitude that is converted to retain multiple-harmonic PSA：
Wherein, A includes phase for output signalsComplex amplitude, and φ be input signal phase, mi, i=1-4 is power
Weight coefficient.
Above-mentioned amplitude retains stick signal while multiple-harmonic PSA realizes compression phase by the effect of multiple light waves and shakes
Width.According to formula (2)-(4), the double pumping action based on three rank sidebands auxiliary when depicted respectively using unit circle as input signal in Fig. 2
Nondegenerate PSA (dotted line), the double pumping action nondegenerate PSA (dotted line) based on five rank sidebands auxiliary and amplitude retain multiple-harmonic PSA (in fact
Line) track of the output signal in complex plane.Compared with double pumping action nondegenerate PSA, amplitude retains multiple-harmonic PSA in addition to can
The amplitude of stick signal also is able to other than compression phase.
Multimode type is utilized respectively to three rank double pumping action nondegenerate phase-sensitive amplifiers, five rank double pumping action nondegenerate phases
Sense amplifier and amplitude retain multiple-harmonic three kinds of PSA schemes of phase-sensitive amplifier and are emulated.By emulation, utilization is excellent
Having changed the PSA of configuration parameter realizes the response of quadravalence stepped phase.
Fig. 3 respectively illustrates the frequency spectrum distribution of pump light, flashlight and sideband in three kinds of PSA.Such as dotted line institute in Fig. 3
Show, tri- rank double pumping action nondegenerate phase-sensitive amplifiers of first two PSA--- and five rank double pumping action nondegenerate phase-sensitive amplifiers
In have 4 input lights, and the third PSA--- amplitude retains multiple-harmonic phase-sensitive amplifier 6 input lights.For
In the regenerated PSA of QPSK signal phases, too many high-order sideband will not be generated due to not needing to too high nonlinear phase shift.Cause
This, it is a total of including a kind of last PSA includes input pumping light, input signal light, inputs the sideband that sideband generates with FWM
11 light waves have been participated in whole process.Compared to this, the light wave that first two PSA is then participated in during FWM is then less.
Then represent to participate in all light waves of FWM processes in these three PSA with one group of 11 coupled differential equation
Amplitude A i, i=1,2 ..., 11.The process of FWM number is determined according to before, this 11 light waves, which can be formed, meets FWM energy
The combination of conversion shares 610, including 560 ND-FWM and 50 D-FWM processes.Then these FWM are combined and are carried out
It arranges, finally obtains 70 different ND-FWM D-FWM processes different from 25.Determine FWM processes specific number it
Afterwards, different frequency ω during each FWM is calculatediMode propagation constant.Finally incoming wave is initialized, such as really
Its fixed power, phase parameter simultaneously integrate 11 coupled differential equation solutions, can obtain the amplitude and phase of all waves.
For these three different more pumping PSA schemes, there are three types of different input conditions for 11 wave numerical models tool.Scheme
1：In the double pumping action nondegenerate PSA assisted based on three rank sidebands, there are four incoming waves, are ω respectivelyp2、ωs、ω3sAnd ωp3。
As shown in dotted line in Fig. 3 (a), ω is relied primarily ons+ω3s=ωp2+ωp3ND-FWM processes realize to QPSK signals
Regeneration.Scheme 2：In the double pumping action nondegenerate PSA assisted based on five rank sidebands, there are four incoming waves different from situation 1,
It is ω respectivelyp1、ωs、ω5sAnd ωp2.As shown in dotted line in Fig. 3 (b), they rely primarily on ωs+ω5s=ωp1+ωp2ND-
FWM processes respond to obtain quadravalence stepped phase.Scheme 3：In the multiple-harmonic PSA retained in amplitude, there are three input pumpings for tool
Light, an input signal light and two input sidebands, they are ω respectivelyp1、ωp2、ωp3、ωs、ω3sAnd ω5s, such as Fig. 3 (c)
Shown, which can obtain the response of quadravalence stepped phase in the case where amplitude generates very little fluctuation.
First with bibliography [K.R.H.Bottrill, G.D.Hesketh, F.Parmigiani, P.Horak,
D.J.Richardson,and P.Petropoulos,“Suppression of gain variation in a PSA-
based phase regenerator using an additional harmonic,”IEEE
Photon.Technol.Lett., 26,20,2074-2077 (2014)] in parameter emulated.Wherein, fiber lengths are
300m, nonlinear factor 11.6W-1km-1, decay to 0.88dB/km, chromatic dispersion gradient 0.018psnm-2km-1.Above-mentioned
2 five rank double pumping action nondegenerate phase-sensitive amplifier of 1 three rank double pumping action nondegenerate phase-sensitive amplifier of scheme and scheme in,
Pump power is 17.4dBm, and signal light power is 6.4dBm and the rank sideband power of three ranks/five is 4.4dBm.And in 3 amplitude of scheme
Retain multiple-harmonic phase-sensitive amplifier in, respectively set pump power be 15.3dBm, signal power 7.3dBm, three rank/five
Rank sideband power is 2.3dBm.Fig. 4 and Fig. 5 is the phase sensitive gain curve and phase response curve being calculated respectively.Through
Multimode type calculate result in the above referred-to references through measuring, using be distributed Fourier method (SSF) solve Schrodinger
Nonlinear equation (NLSE) obtained result is coincide, so as to demonstrate the validity of multimode type of the present invention.
Then, using the configuration parameter of multimode type optimization design three of the above PSA, so as to obtain for QPSK signal phases
The regenerated high energy efficiency PSA in position.A segment length is used as 600m, zero-dispersion wavelength 1542nm, nonlinear factor 10W-1km-1,
Decay to 0.65dB/km, chromatic dispersion gradient 0.026psnm-2km-1HNLF, and given second pump wavelength p2In 1544nm
Position, flashlight is at away from this about 0.3nm wavelength intervals δ λ expression, then other wavelength can be by λ p2With wavelength interval δ λ
It determines.
In 1 three rank double pumping action nondegenerate phase-sensitive amplifier of scheme, initialization power is made that respectively following excellent
Change, two pumping light power (Pp2, Pp3) for 14.1dBm and 14.1dBm, signal light power (Ps) is 2dBm, three rank sidebands
(P3S) it is 2dBm.And the power of other wavelength is all positioned below -50dBm in Fig. 3 in addition to this.Dotted line in Fig. 6 and Fig. 7
It is the phase sensitive gain curve and phase transfer function for the PSA for calculating gained respectively.QPSK signals can be realized when showing
During regenerated ideal quadravalence stepped phase receptance function, gain extinction ratio can reach 5.7dB.
In 2 five rank double pumping action nondegenerate phase-sensitive amplifier of scheme, two pump powers are optimized for respectively
12.3dBm, i.e. Pp1=Pp2=12.3dBm, signal light power are set as 2dBm, i.e. P with five rank sideband powerss=2dBm, P5s=
2dBm.Dotted line in obtained PSA phase sensitives gain Fig. 6 visible with phase transfer function and Fig. 7 at this time.When acquisition quadravalence rank
During terraced phase response function, gain extinction ratio can reach 3.6dB.
In 3 amplitude of scheme retains multiple-harmonic phase-sensitive amplifier, three pumping light powers are optimized for 10dBm, i.e.,
Pp1=Pp2=Pp3=10dBm, flashlight, 3 order harmonics and 5 order harmonics power are respectively set to 2dBm, i.e. Ps=P3s=P5s=
2dBm, and other light wave power in addition to this are all positioned below -50dBm.Block curve in Fig. 6 and Fig. 7 is i.e. respectively
Its phase sensitive gain curve and phase transfer function.The change in gain amount when the phase transfer function of its acquisition quadravalence ladder
There is 0.5dBm.
In above-mentioned emulation, quadravalence ladder phase is obtained by being optimized with 11 wave patterns to the input power of PSA
Position response.And in these schemes, nonlinear phase shift (Φ mutually desiredNL=γ PpL it is) different, and nonlinear phase shift can
Determine the size of PSA gains, the nonlinear phase shift that wherein amplitude retains needed for multiple-harmonic PSA is minimum.In addition, by enabling input letter
Number luminous power method identical with input sideband power can reduce required nonlinear phase shift.
In front in two schemes, the phase difference between pumping and flashlight decides gain and the phase response of PSA, and
Relative phase Φ between pump light can only cause gain and the translation of phase curve.And the relative phase between pump light is most
It is acted in latter scheme significantly different.When the relative phase between pump light is respectively 0,0.5 π, π and 1.5 π rad, scheming
8 retain gain and the phase curve of multiple-harmonic phase-sensitive amplifier with depicting 3 amplitude of scheme in Fig. 9 respectively.By Fig. 8 and figure
9 as it can be seen that gain curve can change with the variation of relative phase Φ, and corresponding phase response curve also can and then change, most
It is stepped that whole phase response no longer meets quadravalence.Therefore, in amplitude retains multiple-harmonic PSA (scheme 3), quadravalence rank in order to obtain
Terraced phase response, we are it has to be ensured that the integral multiple that the relative phase Φ between pumping is 2 π.
Invention describes a kind of to study more wave numerical models of more pumping PSA based on HNLF, it can be applicable in
Three kinds are suitable in the light wave with multiple and different frequencies, power and phase assignments, and using the numerical model
The PSA of QPSK signal regenerations is studied；By optimizing and revising each input power, these three PSA respectively can be with 0.31,0.20
These relatively low nonlinear phase shifts obtain the response of quadravalence stepped phase with 0.18rad, and the PSA of this high energy efficiency is to QPSK signals
It regenerates highly beneficial.Nonlinear phase shift is exactly the product of nonlinear fiber coefficient, pump power and fiber lengths, since difference is matched
Required pump power difference is put down, so it is different to generate the nonlinear phase shift that the response of four stepped phases needs.In addition, 11 waves
Model can be suitable for PSA design of the overwhelming majority based on HNLF, and in design PSA, light wave, number are inputted by initialization
11 coupled differential equation group of value Integration Solving can greatly simplify the somewhat complex design process of PSA.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all essences in the present invention
With within principle, any modification, equivalent replacement, improvement and so on should all be included in the protection scope of the present invention god.
Claims (8)
1. a kind of more pumping phase-sensitive amplifier generation methods based on highly nonlinear optical fiber, which is characterized in that its step is such as
Under：
Step 1：There is N number of light wave to interact during four-wave mixing, four waves including pump light, flashlight and generation
Sideband is mixed, ignores the phase-sensitive amplifier of some special constructions, obtains following N number of coupled differential equation：
Wherein, AiFor the complex amplitude of N number of light wave, i=1,2 ..., N；Ai(z)、z、α、Ap、Am、Aq、Δβi,q,q,oTable respectively
Show the light wave n amplitudes conjugation that i light waves amplitude, light wave distance in a fiber, fibre loss, four-wave mixing generate, pumping light wave
The light wave o amplitudes that amplitude, the light wave m amplitudes of four-wave mixing generation, four-wave mixing generate are conjugated, the light wave q that four-wave mixing generates
Amplitude, phase mismatch；Δβi,p,m,n=βp+βm-βi-βn, β is light wave transmissions constant beta=1/2* β2, wherein β2Second order for optical fiber
Abbe number, βp、βm、βi、βnThe respectively transmission of Different lightwave p, m, i and n；The π n of γ=22/λAeffFor nonlinear fiber
Coefficient, n2For nonlinear fiber refractive index, AeffFor effective core area；
Step 2：Determine that how many specific wavelength takes part in four-wave mixing process；
Step 3：All wavelength for participating in four-wave mixing process are included in step 1 in N number of coupled differential equation and calculate output
The complex amplitude and phase of wave, obtain phase-sensitive amplifier；
Step 4：Using multimode type to the configuration parameter optimization of phase-sensitive amplifier, obtain desired phase sensitive and put
The gain of big device and phase characteristic, obtain more pumping phase-sensitive amplifiers for QPSK signal regenerations.
2. more pumping phase-sensitive amplifier generation methods according to claim 1 based on highly nonlinear optical fiber, special
Sign is that the method for determining to participate in the specific number of four-wave mixing process medium wavelength is：All disclosure satisfy that is found in N number of wavelength
The wavelength combination of energy conversion relation；The wavelength combination found out is classified, is divided into nondegenerate two-photon process process and degeneracy
Four-wave mixing process；Respectively during nondegenerate two-photon process process and degeneration four-wave mixing to the repeated combination found out into
Row arranges, and the process for representing same four-wave mixing is denoted as a FWM process；All FWM processes sorted out are passed through N number of
The complex amplitude of coupled differential equation calculation output wave.
3. more pumping phase-sensitive amplifier generation methods according to claim 1 or 2 based on highly nonlinear optical fiber,
It is characterized in that, the method for the complex amplitude for calculating output wave is：The mode propagation constant β of all light waves is calculated, it is true according to before
The wavelength combination of fixed FWM processes and the frequencies omega of each wavelengthi, calculate the phase mismatch Δ β of all FWM processesi,p,m,n=
βp+βm-βi-βp；FWM processes according to sorting out write out N number of coupled differential equation respectively, and input light wave is initialized,
Determine the power and phase parameter when pumping, signal and initial four-wave mixing sideband；To listed N number of coupled differential equation
Integral and calculating is carried out, solves the output complex amplitude and phase of each light wave.
4. more pumping phase-sensitive amplifier generation methods according to claim 3 based on highly nonlinear optical fiber, special
Sign is, the double pumping action nondegenerate phase-sensitive amplifier of quadravalence stepped phase transfer function can be realized by three rank sidebands
Output signal is expressed as：Wherein A includes phase for output signalsComplex amplitude, φ for input
The phase of signal, m1For its weight coefficient.
5. more pumping phase-sensitive amplifier generation methods according to claim 3 based on highly nonlinear optical fiber, special
Sign is, the double pumping action nondegenerate phase-sensitive amplifier of quadravalence stepped phase transfer function can be realized by five rank sidebands
Output signal is expressed as：Wherein, A includes phase for output signalsComplex amplitude, φ is defeated
Enter the phase of signal, m2For its weight coefficient.
6. more pumping phase-sensitive amplifier generation methods according to claim 3 based on highly nonlinear optical fiber, special
Sign is, the conversion of signal is realized using the third multiple-harmonic phase-sensitive amplifier, obtains amplitude and retains multi resonant wave phase
The output signal of sense amplifier is expressed as：Wherein, A includes phase for output signal
Position φsComplex amplitude, φ be input signal phase, m3And m4For its weight coefficient.
7. the life of more pumping phase-sensitive amplifiers based on highly nonlinear optical fiber according to any one in claim 4-6
Into method, which is characterized in that draw above-mentioned three ranks double pumping action nondegenerate phase-sensitive amplifier, five rank double pumping action nondegenerate phases
Sense amplifier and amplitude retain the pump lights of multiple-harmonic three kinds of phase-sensitive amplifiers of phase-sensitive amplifier, flashlight and
The frequency spectrum distribution diagram of sideband, three rank double pumping action nondegenerate phase-sensitive amplifiers and five rank double pumping action nondegenerate Phase sensitive amplifications
There are 4 input lights in device, amplitude, which retains multiple-harmonic phase-sensitive amplifier, there are 6 input lights, including input pumping light, input letter
A total of 11 light waves participate in amplitude and retain multiple-harmonic Phase sensitive amplification including the sideband that number light, input sideband are generated with FWM
In device；It represents to participate in all of FWM processes in these three phase-sensitive amplifiers with one group of 11 coupled differential equation
The amplitude A i, i=1,2 ... of light wave, 11；This 11 light waves, which can be formed, to be met the combinations of FWM processes and shares 610, wherein wrapping
Include 560 nondegenerate two-photon process processes and 50 degeneration four-wave mixing processes；The combination of these FWM processes is arranged, is obtained
The nondegenerate two-photon process process different to the 70 degeneration four-wave mixing process different from 25；Calculate each FWM processes
Middle different frequency ωiMode propagation constant；Incoming wave is initialized, determines that its power and phase parameter couple 11
Difference equation solves integration, can obtain the amplitude and phase of all waves.
8. more pumping phase-sensitive amplifier generation methods according to claim 7 based on highly nonlinear optical fiber, special
Sign is, uses a segment length as 600m, zero-dispersion wavelength 1542nm, nonlinear factor 10W-1km-1, decay to
0.65dB/km, chromatic dispersion gradient 0.026psnm-2km-1Highly nonlinear optical fiber, give the second pump wavelengthp2In 1544nm
Position, for flashlight at the wavelength interval δ λ away from this about 0.3nm, other wavelength can be by the second pump wavelength p2And wave
Long interval δ λ are determined；
In three rank double pumping action nondegenerate phase-sensitive amplifiers, it is made that following optimization respectively to initialization power：Two pumps
Pu luminous power Pp2For 14.1dBm and Pp3For 14.1dBm, signal light power Ps is 2dBm, three rank sideband P3S is 2dBm, other waves
Long power is all positioned below -50dBm, when show can realize QPSK signal regenerations ideal quadravalence stepped phase ring
When answering function, gain extinction ratio can reach 5.7dB；
In five rank double pumping action nondegenerate phase-sensitive amplifiers, two pump powers are optimized for Pp1=Pp2=12.3dBm, letter
Number luminous power Ps=2dBm and five rank sideband power P5s=2dBm；When obtaining quadravalence stepped phase receptance function, gain disappears
Light ratio can reach 3.6dB；
In amplitude retains multiple-harmonic phase-sensitive amplifier, three pumping light powers are optimized for Pp1=Pp2=Pp3=10dBm,
Flashlight Ps=2dBm, three order harmonics power Ps3s=2dBm and five order harmonics power Ps5s=2dBm, other light waves in addition to this
Power is all positioned below -50dBm, and when the phase transfer function of its acquisition quadravalence ladder, change in gain amount only has 0.5dBm.
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