CN114006659B - High-order vector soliton generation system and method based on passive resonant cavity - Google Patents
High-order vector soliton generation system and method based on passive resonant cavity Download PDFInfo
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Abstract
The invention relates to the field of light pulse output, and provides a high-order vector soliton generation system and method based on a passive resonant cavity, wherein the system comprises the following steps: the system comprises a continuous wave pump source, a first polarization controller, a first polarization beam splitter, a first modulator, a first mode generator, a second modulator, a second mode generator, a polarization beam combiner, a coupler, a second polarization controller, a third polarization controller and a second polarization beam splitter. The invention provides a new idea for generating the high-order vector solitons by generating the high-order vector solitons based on the passive resonant cavity.
Description
Technical Field
The invention relates to the field of light pulse output, in particular to a high-order vector soliton generation system and method based on a passive resonant cavity.
Background
Vector solitons refer to solitons that have multiple soliton components and each soliton component is coupled together to propagate in a medium at the same group velocity. Single mode fibers typically have weak birefringence, resulting in two orthogonal polarization directions in the fiber, making it possible for vector solitons to be generated in single mode fibers. Various types of vector solitons can be generated in the optical fiber according to the difference of the double refraction of the optical fiber. Vector solitons can also be obtained in the fiber laser, and high-order vector solitons can be obtained by projecting the vector solitons generated by the fiber laser.
Vector solitons can also be generated in the kerr resonator/passive cavity, where the generation of time cavity solitons/vector solitons depends not only on the interaction between kerr nonlinearity and dispersion, but also on the balance between nonlinear parametric gain and cavity loss.
So far, related researches on generating high-order vector solitons based on fiber lasers have been reported, but high-order vector solitons generated based on passive resonant cavities have not been reported.
The foregoing is provided merely for the purpose of facilitating understanding of the technical solutions of the present invention and is not intended to represent an admission that the foregoing is prior art.
Disclosure of Invention
The invention mainly aims to solve the technical problem that a high-order vector soliton cannot be generated based on a passive resonant cavity in the prior art.
In order to achieve the above object, the present invention provides a high-order vector soliton generating system based on a passive resonant cavity, comprising: the system comprises a continuous wave pump source, a first polarization controller, a first polarization beam splitter, a first modulator, a first mode generator, a second modulator, a second mode generator, a polarization beam combiner, a coupler, a second polarization controller, a third polarization controller and a second polarization beam splitter;
the continuous wave pump source is connected with an inlet of the first polarization controller, an outlet of the first polarization controller is connected with an inlet of the first polarization beam splitter, a 3a outlet of the first polarization beam splitter is connected with a first inlet of the first polarization beam splitter, a 3b outlet of the first polarization beam splitter is connected with a first inlet of the second polarization controller, a first mode generator is connected with a second inlet of the first polarization controller, a second mode generator is connected with a second inlet of the second polarization controller, an outlet of the first polarization controller is connected with an 8a inlet of the polarization beam combiner, an outlet of the second polarization beam splitter is connected with an 8b inlet of the polarization beam combiner, an outlet of the polarization beam combiner is connected with a 9b inlet of the coupler, a 9a inlet of the coupler is connected with an outlet of the second polarization controller, a 9c outlet of the coupler is connected with an inlet of the second polarization controller, an outlet of the coupler is connected with a third inlet of the polarization beam splitter, and a third outlet of the polarization beam splitter is connected with a third inlet of the polarization controller.
Preferably, the continuous wave pump source adopts a continuous wave laser of monochromatic light in simulation, the power of the continuous wave laser of the monochromatic light is 2W, and the wavelength is 1550nm.
Preferably, the first polarizing beam splitter has a splitting ratio of 50:50.
preferably, the first mode generator and the second mode generator both adopt an electric pulse generator in simulation, the working power range of the electric pulse generator is 20-100W, and the electric pulse generator is used for generating Gaussian pulses with preset pulse width, intensity and time delay;
during simulation, according to requirements, the Gaussian pulses sequentially generated by the first mode generator and the second mode generator are as follows:
two unimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W, and a time interval of 60 ps;
a single peak gaussian pulse and a double peak gaussian pulse with a pulse width of 20ps and an intensity of 72W and a time interval of 360ps, wherein the time interval between the double peak gaussian pulses is set to 200ps;
two bimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W and a time interval of 440ps, wherein the time interval between the bimodal gaussian pulses is set to 200ps.
Preferably, the first modulator and the second modulator adopt intensity modulation during simulation to acquire a continuous wave pumping field added with intensity perturbation;
the continuous wave pumping field added with the intensity perturbation comprises the following steps: the polarization state u and the polarization state v, wherein the u axis and the v axis are two orthogonal polarization axes;
the polarization state u is expressed as:
the polarization state v is expressed as:
wherein E is in A continuous wave pumping field output by the continuous wave pumping source; e (E) in,u(z,τ) And E is in,v(z,τ) The drive field strengths generated by the first and second pattern generators corresponding to polarization states u and v, respectively; e (E) p,u And E is p,v Peak intensities of the driving field for intensity modulation generated by the first pattern generator and the second pattern generator corresponding to the polarization states u and v, respectively; τ u And τ v The pulse width of the Gaussian pulse generated by the first mode generator and the second mode generator is respectively; Δτ drift Drift time of polarization state v relative to u; f (z) is a rectangular function, f (z) =n (z/L-n) 0 -1/2) for z ε [ n ] 0 L,(n 0 +1)L]Z and L are the transport distance and the cavity length, respectively, and when f (z) is 0, it is indicated at the nth 0 The rings are injected with intensity modulation.
Preferably, the coupling degree of the coupler in simulation is 90:10.
preferably, the coupler and the second polarization controller form a passive annular resonant cavity through polarization maintaining optical fibers, and the continuous wave pumping field added with the intensity perturbation obtains a vector cavity soliton through the passive annular resonant cavity;
the evolution formula of the continuous wave pumping field added with the intensity perturbation in the passive ring resonator is as follows:
wherein z is the transmission distance within the cavity; u and v are the slow-varying electric field envelopes of the two polarization states; alpha 1 = (α -ln (1-k))/(2L), α is the intra-cavity loss, k is the power coupling coefficient, and L is the cavity length; Δβ is the wave vector mismatch between the two polarization modes; delta 1 ＝δ 0 /L，δ 0 Is loop phase detuning; beta 2 Is group velocity dispersion; Δβ 1 Is a group velocity mismatch; gamma is a Kerr nonlinear coefficient; η=k 1/2 /L；E in Is a continuous wave pumping field; χ is the linear polarization direction of the pump field.
The high-order vector soliton generation method based on the passive resonant cavity is realized based on the high-order vector soliton generation system based on the passive resonant cavity and comprises the following steps of:
s1: starting simulation, wherein the continuous wave pump source generates input laser;
s2: the input laser sequentially passes through the first polarization controller, the first polarization beam splitter, the first modulator and the second modulator, and is subjected to intensity modulation under the action of the first mode generator and the second mode generator respectively to obtain a continuous wave pumping field added with intensity perturbation; the coupler and the second polarization controller form the passive ring resonator;
s3: sequentially passing the continuous wave pumping field added with the intensity perturbation through the polarization beam combiner and the coupler, and entering the passive annular resonant cavity for excitation to obtain a vector cavity soliton;
s4: the vector cavity solitons sequentially pass through the third polarization controller and the second polarization beam splitter, and two polarization orthogonal components of the vector cavity solitons are projected on a transverse axis and a longitudinal axis of the second polarization beam splitter respectively to obtain a transverse axis projection result and a longitudinal axis projection result;
the projection process is as follows:
H＝u·cosθ+v·sinθ
V＝u·sinθ-v·cosθ
wherein H represents a horizontal axis projection result, V represents a vertical axis projection result, and θ represents an included angle between the polarization state u and a horizontal axis in the second polarization beam splitter;
s5: the high-order vector solitons are obtained according to the two polarization orthogonal components of the vector cavity solitons, the transverse axis projection result and the longitudinal axis projection result, and specifically the method comprises the following steps:
for the vector cavity solitons with the two polarization orthogonal components of 1+1, if the transverse axis projection result and the longitudinal axis projection result are both two pulses, the vector solitons obtained after projection are 2+2 high-order vector solitons; the Gaussian pulses output by the corresponding first pattern generator and second pattern generator are respectively as follows: two unimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W, and a time interval of 60 ps;
for the vector cavity solitons with two polarization orthogonal components of 1+2, if the transverse axis projection result and the longitudinal axis projection result are both three pulses, the vector solitons obtained after projection are 3+3 high-order vector solitons; the Gaussian pulses output by the corresponding first pattern generator and second pattern generator are respectively as follows: a single peak gaussian pulse and a double peak gaussian pulse with a pulse width of 20ps and an intensity of 72W and a time interval of 360ps, wherein the time interval between the double peak gaussian pulses is set to 200ps;
for the vector cavity solitons with two polarization orthogonal components of 2+2, if the transverse axis projection result and the longitudinal axis projection result are four pulses, the vector solitons obtained after projection are 4+4 high-order vector solitons; the Gaussian pulses output by the corresponding first pattern generator and second pattern generator are respectively as follows: two bimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W and a time interval of 440ps, wherein the time interval between the bimodal gaussian pulses is set to 200ps.
The invention has the following beneficial effects:
by generating the high-order vector solitons based on the passive resonant cavity, a new idea of generating the high-order vector solitons is provided.
Drawings
FIG. 1 is a system architecture diagram of an embodiment of the present invention;
FIG. 2 is a flow chart of a method according to an embodiment of the invention;
FIG. 3 is a time domain diagram of a "2+2" higher order vector soliton;
FIG. 4 is a spectral diagram of a "2+2" higher order vector soliton;
FIG. 5 is a time domain diagram of a "3+3" higher order vector soliton;
FIG. 6 is a spectral diagram of a "3+3" higher order vector soliton;
FIG. 7 is a time domain diagram of a "4+4" higher order vector soliton;
FIG. 8 is a spectral diagram of a "4+4" higher order vector soliton;
the achievement of the objects, functional features and advantages of the present invention will be further described with reference to the accompanying drawings, in conjunction with the embodiments.
Detailed Description
It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
Referring to fig. 1, the present invention provides a high-order vector soliton generating system based on a passive resonant cavity, comprising: a continuous wave pump source 1, a first polarization controller 2, a first polarization beam splitter 3, a first modulator 6, a first pattern generator 4, a second modulator 7, a second pattern generator 5, a polarization beam combiner 8, a coupler 9, a second polarization controller 10, a third polarization controller 11, and a second polarization beam splitter 12;
the continuous wave pump source 1 is connected with an inlet of the first polarization controller 2, an outlet of the first polarization controller 2 is connected with an inlet of the first polarization beam splitter 3, an outlet of the first polarization beam splitter 3 is connected with a first inlet of the first modulator 6, an outlet of the first polarization beam splitter 3 is connected with a first inlet of the second modulator 7, the first mode generator 4 is connected with a second inlet of the first modulator 6, the second mode generator 5 is connected with a second inlet of the second modulator 7, an outlet of the first modulator 6 is connected with an 8a inlet of the polarization beam combiner 8, an outlet of the second modulator 7 is connected with an 8b inlet of the polarization beam combiner 8, an outlet of the polarization beam combiner 8 is connected with a 9b inlet of the coupler 9, an inlet of the coupler 9 is connected with an outlet of the second polarization controller 10, an outlet of the coupler 9c is connected with an inlet of the second polarization controller 9, and an inlet of the third polarization controller 11 is connected with an inlet of the third polarization beam combiner 9.
In this embodiment, the continuous wave pump source 1 adopts a continuous wave laser of monochromatic light during simulation, the power of the continuous wave laser of monochromatic light is 2W, and the wavelength is 1550nm; wherein, the mark A is pumping light input, and the mark B is laser output of a higher-order vector soliton.
In this embodiment, the combination simulation of the first polarization controller 2 and the first polarization beam splitter 3 is used to achieve separation of orthogonal polarization components, and the spectral ratio of the first polarization beam splitter 3 at the time of simulation is 50:50, the separated laser light is output from the output port 3a and the output port 3b, respectively.
In this embodiment, the first pattern generator 4 and the second pattern generator 5 both use an electric pulse generator during simulation, where the working power range of the electric pulse generator is 20 to 100W, and the electric pulse generator is used to generate gaussian pulses with preset pulse width, intensity and time delay;
according to the requirement during simulation, the gaussian pulse sequentially generated by the first pattern generator 4 and the second pattern generator 5 is as follows:
(1) Two unimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W, and a time interval of 60 ps;
(2) A single peak gaussian pulse and a double peak gaussian pulse with a pulse width of 20ps and an intensity of 72W and a time interval of 360ps, wherein the time interval between the double peak gaussian pulses is set to 200ps;
(3) Two bimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W and a time interval of 440ps, wherein the time interval between the bimodal gaussian pulses is set to 200ps.
In this embodiment, the first modulator 6 and the second modulator 7 both employ intensity modulation in simulation; the gaussian pulse signals generated by the first pattern generator 4 and the second pattern generator 5 drive the first modulator 6 and the second modulator 7, respectively, and add intensity disturbance to the continuous wave pump field input by the port 3a and the port 3b to obtain a continuous wave pump field to which the intensity disturbance is added;
the continuous wave pumping field added with the intensity perturbation comprises the following steps: the polarization state u and the polarization state v, wherein the u axis and the v axis are two orthogonal polarization axes;
the polarization state u is expressed as:
the polarization state v is expressed as:
wherein E is in A continuous wave pumping field output by the continuous wave pumping source 1; e (E) in,u(z,τ) And E is in,v(z,τ) The driving field strengths generated by the first pattern generator 4 and the second pattern generator 5 corresponding to the polarization states u and v, respectively; e (E) p,u And E is p,v Peak intensities of the driving field for intensity modulation generated by the first pattern generator 4 and the second pattern generator 5 corresponding to the polarization states u and v, respectively; τ u And τ v The pulse widths of the gaussian pulses generated by the first pattern generator 4 and the second pattern generator 5, respectively; Δτ drift Drift time of polarization state v relative to u; f (z) is a rectangular function, f (z) =n (z/L-n) 0 -1/2) for z ε [ n ] 0 L,(n 0 +1)L]Z and L are the transport distance and the cavity length, respectively, and when f (z) is 0, it is indicated at the nth 0 The rings are injected with intensity modulation.
In this embodiment, the polarization beam combiner 8 is configured to couple two modulated orthogonal polarized lasers from an inlet of 8a and an inlet of 8b, respectively;
the coupling degree of the coupler 9 in simulation is 90:10, wherein the marks 9a, 9b are inlets of the coupler 9, and the marks 9c, 9d are 10% outlets and 90% outlets of the coupler 9, respectively.
In this embodiment, the coupler 9 and the second polarization controller 10 form a passive ring resonator through polarization maintaining fiber, and the continuous wave pumping field added with the intensity perturbation obtains a vector cavity soliton through the passive ring resonator;
the length of the passive ring resonant cavity in simulation is 85m, and the repetition frequency isIs 2.39MHz, the loss per unit length is 0.0011/m, and the group velocity dispersion is-20 ps 2 km -1 Group velocity mismatch of 1×10 -13 s·m -1 Wave vector mismatch of-0.0049 m -1 The Kerr nonlinear coefficient is 1.2×10 -3 W -1 m -1 Coupling efficiency of 0.0026m -1 The linear polarization direction of the pumping field is 0.15 pi;
the second polarization controller 10 adjusts the wave vector mismatch according to the two resonances of each polarization mode, ensuring that the laser stop frequency is in the effective red light detuning region;
the evolution formula of the continuous wave pumping field added with the intensity perturbation in the passive ring resonator is as follows:
wherein z is the transmission distance within the cavity; u and v are the slow-varying electric field envelopes of the two polarization states; alpha 1 = (α -ln (1-k))/(2L), α is the intra-cavity loss, k is the power coupling coefficient, and L is the cavity length; Δβ is the wave vector mismatch between the two polarization modes; delta 1 ＝δ 0 /L，δ 0 Is loop phase detuning; beta 2 Is group velocity dispersion; Δβ 1 Is a group velocity mismatch; gamma is a Kerr nonlinear coefficient; η=k 1/2 /L；E in Is a continuous wave pumping field; χ is the linear polarization direction of the pump field;
the third polarization controller 11 is configured to change the polarization direction of the fundamental or higher order vector solitons output from the 9d outlet and the phase difference between the two orthogonal polarization components, and the second polarization beam splitter 12 is coupled to the polarization beam splitter through an optical fiber, where the two polarization components of the fundamental or higher order vector solitons generate projections on the horizontal axis and the vertical axis of the polarization beam splitter, and the result of the projection may obtain the higher order vector solitons.
Referring to fig. 2, the invention provides a high-order vector soliton generation method based on a passive resonant cavity, which is realized based on the high-order vector soliton generation system based on the passive resonant cavity, and comprises the following steps:
s1: starting simulation, wherein the continuous wave pump source 1 generates input laser;
in specific implementation, the output power of the continuous wave pump source 1 is set to be 2W during simulation;
s2: the input laser sequentially passes through the first polarization controller 2, the first polarization beam splitter 3, the first modulator 6 and the second modulator 7, and is subjected to intensity modulation under the action of the first mode generator 4 and the second mode generator 5 respectively to obtain a continuous wave pumping field added with intensity perturbation; said coupler 9 and said second polarization controller 10 constitute said passive ring resonator;
s3: sequentially passing the continuous wave pumping field added with the intensity perturbation through the polarization beam combiner 8 and the coupler 9, and entering the passive ring resonator for excitation to obtain a vector cavity soliton;
s4: the vector cavity solitons sequentially pass through the third polarization controller 11 and the second polarization beam splitter 12, and two polarization orthogonal components of the vector cavity solitons are projected on a transverse axis and a longitudinal axis of the second polarization beam splitter 12 respectively to obtain a transverse axis projection result and a longitudinal axis projection result;
the projection process is as follows:
H＝u·cosθ+v·sinθ
V＝u·sinθ-v·cosθ
where H represents the horizontal axis projection result, V represents the vertical axis projection result, and θ represents the angle between the polarization state u and the horizontal axis in the second polarizing beam splitter 12;
s5: the high-order vector solitons are obtained according to the two polarization orthogonal components of the vector cavity solitons, the transverse axis projection result and the longitudinal axis projection result, and specifically the method comprises the following steps:
for the vector cavity solitons with the two polarization orthogonal components of 1+1, if the transverse axis projection result and the longitudinal axis projection result are both two pulses, the vector solitons obtained after projection are 2+2 high-order vector solitons; the gaussian pulses output by the corresponding first pattern generator 4 and second pattern generator 5 are respectively: two unimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W, and a time interval of 60 ps; FIG. 3 is a time domain diagram of a "2+2" type higher order vector soliton, and FIG. 4 is a spectral diagram of a "2+2" type higher order vector soliton;
for the vector cavity solitons with two polarization orthogonal components of 1+2, if the transverse axis projection result and the longitudinal axis projection result are both three pulses, the vector solitons obtained after projection are 3+3 high-order vector solitons; the gaussian pulses output by the corresponding first pattern generator 4 and second pattern generator 5 are respectively: a single peak gaussian pulse and a double peak gaussian pulse with a pulse width of 20ps and an intensity of 72W and a time interval of 360ps, wherein the time interval between the double peak gaussian pulses is set to 200ps; FIG. 5 is a time domain diagram of a "3+3" type higher order vector soliton, and FIG. 6 is a spectral diagram of a "3+3" type higher order vector soliton;
for the vector cavity solitons with two polarization orthogonal components of 2+2, if the transverse axis projection result and the longitudinal axis projection result are four pulses, the vector solitons obtained after projection are 4+4 high-order vector solitons; the gaussian pulses output by the corresponding first pattern generator 4 and second pattern generator 5 are respectively: two bimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W and a time interval of 440ps, wherein the time interval between the bimodal gaussian pulses is set to 200ps; fig. 7 is a time domain diagram of a "4+4" type high order vector soliton, and fig. 8 is a spectral diagram of a "4+4" type high order vector soliton.
It should be noted that, in this document, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or system that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or system. Without further limitation, an element defined by the phrase "comprising one … …" does not exclude the presence of other like elements in a process, method, article, or system that comprises the element.
The foregoing embodiment numbers of the present invention are merely for the purpose of description, and do not represent the advantages or disadvantages of the embodiments. In the unit claims enumerating several means, several of these means may be embodied by one and the same item of hardware. The use of the terms first, second, third, etc. do not denote any order, but rather the terms first, second, third, etc. are used to interpret the terms as labels.
The foregoing description is only of the preferred embodiments of the present invention, and is not intended to limit the scope of the invention, but rather is intended to cover any equivalents of the structures or equivalent processes disclosed herein or in the alternative, which may be employed directly or indirectly in other related arts.
Claims (8)
1. A high-order vector soliton generation system based on a passive resonant cavity, comprising: a continuous wave pump source (1), a first polarization controller (2), a first polarization beam splitter (3), a first modulator (6), a first mode generator (4), a second modulator (7), a second mode generator (5), a polarization beam combiner (8), a coupler (9), a second polarization controller (10), a third polarization controller (11) and a second polarization beam splitter (12);
the continuous wave pump source (1) is connected with the inlet of the first polarization controller (2), the outlet of the first polarization controller (2) is connected with the inlet of the first polarization beam splitter (3), the outlet of the first polarization beam splitter (3) is connected with the first inlet of the first modulator (6), the outlet of the first polarization beam splitter (3) is connected with the first inlet of the second modulator (7), the first mode generator (4) is connected with the second inlet of the first modulator (6), the second mode generator (5) is connected with the second inlet of the second modulator (7), the outlet of the first modulator (6) is connected with the 8a inlet of the polarization beam combiner (8), the outlet of the second modulator (7) is connected with the 8b inlet of the polarization beam combiner (8), the outlet of the polarization beam combiner (8) is connected with the second inlet of the coupler (9), the second mode generator (5) is connected with the second inlet of the coupler (9), the coupler (9) is connected with the third inlet of the coupler (9), the coupler (9 c) is connected with the third inlet of the coupler (9), the outlet of the third polarization controller (11) is connected with the inlet of the second polarization beam splitter (12);
the first pattern generator (4) and the second pattern generator (5) adopt electric pulse generators during simulation, and the electric pulse generators are used for generating Gaussian pulses with preset pulse width, intensity and time delay;
the first modulator (6) and the second modulator (7) adopt intensity modulation during simulation to acquire a continuous wave pumping field added with intensity perturbation;
the coupler (9) and the second polarization controller (10) form a passive annular resonant cavity through polarization maintaining optical fibers, and the continuous wave pumping field added with the intensity perturbation obtains a vector cavity soliton through the passive annular resonant cavity.
2. The high-order vector soliton generation system based on a passive resonant cavity according to claim 1, wherein the continuous wave pump source (1) adopts a continuous wave laser of monochromatic light in simulation, and the power of the continuous wave laser of the monochromatic light is 2W, and the wavelength is 1550nm.
3. The high-order vector soliton generation system based on a passive resonator according to claim 1, characterized in that the spectral ratio of the first polarizing beam splitter (3) at the time of simulation is 50:50.
4. the passive resonator-based high-order vector soliton generation system of claim 1 wherein said electric pulse generator has an operating power range of 20 to 100W;
according to the requirement during simulation, the Gaussian pulses sequentially generated by the first pattern generator (4) and the second pattern generator (5) are as follows:
two unimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W, and a time interval of 60 ps;
a single peak gaussian pulse and a double peak gaussian pulse with a pulse width of 20ps and an intensity of 72W and a time interval of 360ps, wherein the time interval between the double peak gaussian pulses is set to 200ps;
two bimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W and a time interval of 440ps, wherein the time interval between the bimodal gaussian pulses is set to 200ps.
5. The high-order vector soliton generation system based on a passive resonator according to claim 1, characterized in that,
the continuous wave pumping field added with the intensity perturbation comprises the following steps: the polarization state u and the polarization state v, wherein the u axis and the v axis are two orthogonal polarization axes;
the polarization state u is expressed as:
E in,u(z,τ) ＝E in cos(χ)+E p,u exp[-τ 2 /(2τ u 2 )]f(z)
the polarization state v is expressed as:
E in,v(z,τ) ＝E in sin(χ)+E p,v exp[-(τ-Δτ drift ) 2 /(2τ v 2 )]f(z)
wherein E is in A continuous wave pumping field output by the continuous wave pumping source (1); e (E) in,u(z,τ) And E is in,v(z,τ) The driving field strengths generated by the first pattern generator (4) and the second pattern generator (5) corresponding to the polarization states u and v, respectively; e (E) p,u And E is p,v Peak intensities of the driving field for intensity modulation generated by a first pattern generator (4) and a second pattern generator (5) corresponding to the polarization states u and v, respectively; τ u And τ v The pulse width of Gaussian pulse generated by the first pattern generator (4) and the second pattern generator (5) is respectively; Δτ drift Drift time of polarization state v relative to u; f (z) is a rectangular function, f (z) =n (z/L-n) 0 -1/2) for z ε [ n ] 0 L,(n 0 +1)L]Z and L are the transport distance and the cavity length, respectively, and when f (z) is 0, it is indicated at the nth 0 The rings are injected with intensity modulation.
6. The high-order vector soliton generation system based on passive resonant cavities according to claim 1, characterized in that the coupling degree of the coupler (9) at the time of simulation is 90:10.
7. the high-order vector soliton generation system based on a passive resonator according to claim 1, characterized in that,
the evolution formula of the continuous wave pumping field added with the intensity perturbation in the passive ring resonator is as follows:
wherein z is the transmission distance within the cavity; u and v are the slow-varying electric field envelopes of the two polarization states; alpha 1 = (α -ln (1-k))/(2L), α is the intra-cavity loss, k is the power coupling coefficient, and L is the cavity length; Δβ is the wave vector mismatch between the two polarization modes; delta 1 ＝δ 0 /L，δ 0 Is loop phase detuning; beta 2 Is group velocity dispersion; Δβ 1 Is a group velocity mismatch; gamma is a Kerr nonlinear coefficient; η=k 1 /2 /L；E in Is a continuous wave pumping field; χ is the linear polarization direction of the pump field.
8. A method for generating a higher order vector soliton based on a passive resonant cavity, implemented based on the higher order vector soliton generating system based on a passive resonant cavity as claimed in any one of claims 1 to 7, comprising:
s1: starting simulation, wherein the continuous wave pump source (1) generates input laser;
s2: the input laser sequentially passes through the first polarization controller (2), the first polarization beam splitter (3), the first modulator (6) and the second modulator (7), and intensity modulation is respectively carried out under the action of the first mode generator (4) and the second mode generator (5), so that a continuous wave pumping field added with intensity perturbation is obtained; -said coupler (9) and said second polarization controller (10) constitute said passive ring resonator;
s3: sequentially passing the continuous wave pumping field added with the intensity perturbation through the polarization beam combiner (8) and the coupler (9), and entering the passive ring resonator for excitation to obtain a vector cavity soliton;
s4: the vector cavity solitons sequentially pass through the third polarization controller (11) and the second polarization beam splitter (12), and two polarization orthogonal components of the vector cavity solitons are projected on a transverse axis and a longitudinal axis of the second polarization beam splitter (12) respectively to obtain a transverse axis projection result and a longitudinal axis projection result;
the projection process is as follows:
H＝u·cosθ+v·sinθ
V＝u·sinθ-v·cosθ
wherein H represents the horizontal axis projection result, V represents the vertical axis projection result, and θ represents the angle between the polarization state u and the horizontal axis in the second polarization beam splitter (12);
s5: the high-order vector solitons are obtained according to the two polarization orthogonal components of the vector cavity solitons, the transverse axis projection result and the longitudinal axis projection result, and specifically the method comprises the following steps:
for the vector cavity solitons with the two polarization orthogonal components of 1+1, if the transverse axis projection result and the longitudinal axis projection result are both two pulses, the vector solitons obtained after projection are 2+2 high-order vector solitons; the Gaussian pulses output by the corresponding first pattern generator (4) and second pattern generator (5) are respectively as follows: two unimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W, and a time interval of 60 ps;
for the vector cavity solitons with two polarization orthogonal components of 1+2, if the transverse axis projection result and the longitudinal axis projection result are both three pulses, the vector solitons obtained after projection are 3+3 high-order vector solitons; the Gaussian pulses output by the corresponding first pattern generator (4) and second pattern generator (5) are respectively as follows: a single peak gaussian pulse and a double peak gaussian pulse with a pulse width of 20ps and an intensity of 72W and a time interval of 360ps, wherein the time interval between the double peak gaussian pulses is set to 200ps;
for the vector cavity solitons with two polarization orthogonal components of 2+2, if the transverse axis projection result and the longitudinal axis projection result are four pulses, the vector solitons obtained after projection are 4+4 high-order vector solitons; the Gaussian pulses output by the corresponding first pattern generator (4) and second pattern generator (5) are respectively as follows: two bimodal gaussian pulses with a pulse width of 20ps, an intensity of 72W and a time interval of 440ps, wherein the time interval between the bimodal gaussian pulses is set to 200ps.
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