A phase-locked bound state soliton with dual-wavelength is observed experimentally in a passively mode-locked Erdoped fiber（EDF） laser with a fiber loop mirror（FLM）. The pulse duration of the soliton is 15 ps and ...A phase-locked bound state soliton with dual-wavelength is observed experimentally in a passively mode-locked Erdoped fiber（EDF） laser with a fiber loop mirror（FLM）. The pulse duration of the soliton is 15 ps and the peak-to-peak separation is 125 ps. The repetition rate of the pulse sequence is 3.47 MHz. The output power is 11.8 mW at the pump power of 128 mW, corresponding to the pulse energy of 1.52 nJ. The FLM with a polarization controller can produce a comb spectrum, which acts as a filter. By adjusting the polarization controller or varying the pump power, the central wavelength of the comb spectrum can be tuned. When it combines with the reflective spectrum of the fiber Bragg grating, the total spectrum of the cavity can be cleaved into two parts, then the bound state soliton with dual-wavelength at 1549.7 nm and 1550.4 nm is obtained.展开更多
In this paper, we present the results of numerical analysis of optical solitons in dual core couplers. We studied the optical couplers as an application for the non-linear Schrödinger equation in the case of ...In this paper, we present the results of numerical analysis of optical solitons in dual core couplers. We studied the optical couplers as an application for the non-linear Schrödinger equation in the case of Kerr law for non-linear and clarify the exact solution in this case. Then we have provided a numerical study of the effect of changing the constants in the form of the three types of solitons: bright soliton and dark solitons and singular soliton.展开更多
We report on the generation of dual-wavelength dissipative solitons in a passively mode-locked fibre laser with a net normal dispersion using the nonlinear polarization rotation （NPR） technique. Taking the intrinsic...We report on the generation of dual-wavelength dissipative solitons in a passively mode-locked fibre laser with a net normal dispersion using the nonlinear polarization rotation （NPR） technique. Taking the intrinsic advantage of the intracavity birefringence-induced spectral filtering effect in the NPR-based ring laser cavity, the dual-wavelength dissipative solitons are obtained. In addition, the wavelength separation and the lasing location of the dual-wavelength solitons can be flexibly tuned by changing the orientation of the polarization controller.展开更多
In “<i>A Self-linking Field Formalism</i>” I establish a self-dual field structure with higher order self-induced symmetries that reinforce the first-order dynamics. The structure was derived from Gauss-...In “<i>A Self-linking Field Formalism</i>” I establish a self-dual field structure with higher order self-induced symmetries that reinforce the first-order dynamics. The structure was derived from Gauss-linking integrals in R<sup>3</sup> based on the Biot-Savart law and Ampere’s law applied to Heaviside’s equations, derived in strength-independent fashion in “<i>Primordial Principle of Self-Interaction</i>”. The derivation involves Geometric Calculus, topology, and field equations. My goal in this paper is to derive the simplest solution of a self-stabilized solitonic structure and discuss this model of a neutrino.展开更多
We study the surface defect gap solitons in an interface between a defect of one-dimensional dual-frequency lattices and the uniform media. Some unique properties are revealed that such lattices can broaden the region...We study the surface defect gap solitons in an interface between a defect of one-dimensional dual-frequency lattices and the uniform media. Some unique properties are revealed that such lattices can broaden the region of semi-finite gap, and the semi-finite gap exists not only in the positive and zero defects but also in the negative defect; unlike in the regular lattices, the semi-finite gap exists in the positive and zero defects but does not exist in the negative defect. In particular, stable solitons exist almost in the whole semi-finite gap for the positive and zero defects. These properties are different from other lattices with defects. In addition, it is found that the existence of surface dual-frequency lattice solitons does not need a threshold power.展开更多
The genesis of physical particles is essentially a mystery. Quantum field theory creation operators provide an abstract mechanism by which particles come into existence, but quantum fields do not possess energy densit...The genesis of physical particles is essentially a mystery. Quantum field theory creation operators provide an abstract mechanism by which particles come into existence, but quantum fields do not possess energy density. I reference several recent treatments of this problem and develop ideas based on self-stabilizing field structures with focus on higher order self-induced self-stabilizing field structures. I extend this treatment in this paper to related issues of topological charge.展开更多
利用高品质因子(高Q)微腔中材料的光学非线性可以实现高相干微腔光梳的产生,这为光频梳系统的小型化和片上集成开辟了新的可能性.对于光学频率梳,梳齿间距是光频梳的关键参数,其与产生方式相关,反过来也影响了光梳的应用.芯片化的微腔...利用高品质因子(高Q)微腔中材料的光学非线性可以实现高相干微腔光梳的产生,这为光频梳系统的小型化和片上集成开辟了新的可能性.对于光学频率梳,梳齿间距是光频梳的关键参数,其与产生方式相关,反过来也影响了光梳的应用.芯片化的微腔光梳一般具有高重频的特点,这一特点适用于波分复用光通信、光计算、太赫兹波合成等应用.但对于精密光谱分析等应用,过大的梳齿间隔会带来光谱欠采样等问题,这一问题在中红外波段尤为明显.本文重点介绍了微腔光梳的重频调控,特别是其在光谱测量中的应用;简要分析了不同方式所产生光频梳的重频特点,以及不同应用对光梳重频的要求,特别是对双光梳测量系统;还介绍了微腔光梳与电光梳相结合的间隔光学差频(interleaved difference frequency generation,iDFG)技术,基于此技术可以实现GHz重频的中红外光梳的产生.将iDFG技术与相向传播(counter-propagating,CP)的孤子对相结合,可以实现中红外波段高相干、高分辨率的光谱测量.本文简要介绍了微腔光梳的发展,侧重于微腔光梳在光谱分析上的应用.展开更多
The N-fold Darboux transformation(DT) T_n^([N]) of the nonlinear self-dual network equation is given in terms of the determinant representation. The elements in determinants are composed of the eigenvalues λ_j(j = 1,...The N-fold Darboux transformation(DT) T_n^([N]) of the nonlinear self-dual network equation is given in terms of the determinant representation. The elements in determinants are composed of the eigenvalues λ_j(j = 1, 2..., N)and the corresponding eigenfunctions of the associated Lax equation. Using this representation, the N-soliton solutions of the nonlinear self-dual network equation are given from the zero "seed" solution by the N-fold DT. A general form of the N-degenerate soliton is constructed from the determinants of N-soliton by a special limit λ_j →λ_1 and by using the higher-order Taylor expansion. For 2-degenerate and 3-degenerate solitons, approximate orbits are given analytically,which provide excellent fit of exact trajectories. These orbits have a time-dependent "phase shift", namely ln(t^2).展开更多
We know that the self-dual Yang-Mills (SDYM) equation has infinitely manysymmetries, and these symmtries constitute an infinite dimensional Lie algebra.This property is commonly shared by almost all the 1+l-dimensiona...We know that the self-dual Yang-Mills (SDYM) equation has infinitely manysymmetries, and these symmtries constitute an infinite dimensional Lie algebra.This property is commonly shared by almost all the 1+l-dimensional integrableevolution equations (soliton equations), and has become a very important criterion ofintegrability for the evolution equations. So in a sense the SDYM equation is integr-able. In recent years people have found that some typical soliton equations, such展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.61575011)the Key Project of the National Natural Science Foundation of China(Grant No.61235010)
文摘A phase-locked bound state soliton with dual-wavelength is observed experimentally in a passively mode-locked Erdoped fiber（EDF） laser with a fiber loop mirror（FLM）. The pulse duration of the soliton is 15 ps and the peak-to-peak separation is 125 ps. The repetition rate of the pulse sequence is 3.47 MHz. The output power is 11.8 mW at the pump power of 128 mW, corresponding to the pulse energy of 1.52 nJ. The FLM with a polarization controller can produce a comb spectrum, which acts as a filter. By adjusting the polarization controller or varying the pump power, the central wavelength of the comb spectrum can be tuned. When it combines with the reflective spectrum of the fiber Bragg grating, the total spectrum of the cavity can be cleaved into two parts, then the bound state soliton with dual-wavelength at 1549.7 nm and 1550.4 nm is obtained.
文摘In this paper, we present the results of numerical analysis of optical solitons in dual core couplers. We studied the optical couplers as an application for the non-linear Schrödinger equation in the case of Kerr law for non-linear and clarify the exact solution in this case. Then we have provided a numerical study of the effect of changing the constants in the form of the three types of solitons: bright soliton and dark solitons and singular soliton.
基金supported by the National Natural Science Foundation of China(Grant No.11074078)the Specialized Research Fund for the Doctoral Program of Higher Education,China(Grant No.20094407110002)+1 种基金the Foundation for Distinguished Young Talents in Higher Education of Guangdong,China(Grant No.C10183)the Key Program for Scientific and Technological Innovations of Higher Education Institutes in Guangdong Province,China(Grant No.cxzdlOll)
文摘We report on the generation of dual-wavelength dissipative solitons in a passively mode-locked fibre laser with a net normal dispersion using the nonlinear polarization rotation （NPR） technique. Taking the intrinsic advantage of the intracavity birefringence-induced spectral filtering effect in the NPR-based ring laser cavity, the dual-wavelength dissipative solitons are obtained. In addition, the wavelength separation and the lasing location of the dual-wavelength solitons can be flexibly tuned by changing the orientation of the polarization controller.
文摘In “<i>A Self-linking Field Formalism</i>” I establish a self-dual field structure with higher order self-induced symmetries that reinforce the first-order dynamics. The structure was derived from Gauss-linking integrals in R<sup>3</sup> based on the Biot-Savart law and Ampere’s law applied to Heaviside’s equations, derived in strength-independent fashion in “<i>Primordial Principle of Self-Interaction</i>”. The derivation involves Geometric Calculus, topology, and field equations. My goal in this paper is to derive the simplest solution of a self-stabilized solitonic structure and discuss this model of a neutrino.
基金Project supported by the National Natural Science Foundation of China (Grant No 10774031)Natural Science Foundation of Guangdong Province of China (Grant No 07001790)
文摘We study the surface defect gap solitons in an interface between a defect of one-dimensional dual-frequency lattices and the uniform media. Some unique properties are revealed that such lattices can broaden the region of semi-finite gap, and the semi-finite gap exists not only in the positive and zero defects but also in the negative defect; unlike in the regular lattices, the semi-finite gap exists in the positive and zero defects but does not exist in the negative defect. In particular, stable solitons exist almost in the whole semi-finite gap for the positive and zero defects. These properties are different from other lattices with defects. In addition, it is found that the existence of surface dual-frequency lattice solitons does not need a threshold power.
文摘The genesis of physical particles is essentially a mystery. Quantum field theory creation operators provide an abstract mechanism by which particles come into existence, but quantum fields do not possess energy density. I reference several recent treatments of this problem and develop ideas based on self-stabilizing field structures with focus on higher order self-induced self-stabilizing field structures. I extend this treatment in this paper to related issues of topological charge.
文摘利用高品质因子(高Q)微腔中材料的光学非线性可以实现高相干微腔光梳的产生,这为光频梳系统的小型化和片上集成开辟了新的可能性.对于光学频率梳,梳齿间距是光频梳的关键参数,其与产生方式相关,反过来也影响了光梳的应用.芯片化的微腔光梳一般具有高重频的特点,这一特点适用于波分复用光通信、光计算、太赫兹波合成等应用.但对于精密光谱分析等应用,过大的梳齿间隔会带来光谱欠采样等问题,这一问题在中红外波段尤为明显.本文重点介绍了微腔光梳的重频调控,特别是其在光谱测量中的应用;简要分析了不同方式所产生光频梳的重频特点,以及不同应用对光梳重频的要求,特别是对双光梳测量系统;还介绍了微腔光梳与电光梳相结合的间隔光学差频(interleaved difference frequency generation,iDFG)技术,基于此技术可以实现GHz重频的中红外光梳的产生.将iDFG技术与相向传播(counter-propagating,CP)的孤子对相结合,可以实现中红外波段高相干、高分辨率的光谱测量.本文简要介绍了微腔光梳的发展,侧重于微腔光梳在光谱分析上的应用.
基金Supported by the Natural Science Foundation of Zhejiang Province under Grant No.LY15A010005the Natural Science Foundation of Ningbo under Grant No.2018A610197+1 种基金the NSF of China under Grant No.11671219K.C.Wong Magna Fund in Ningbo University
文摘The N-fold Darboux transformation(DT) T_n^([N]) of the nonlinear self-dual network equation is given in terms of the determinant representation. The elements in determinants are composed of the eigenvalues λ_j(j = 1, 2..., N)and the corresponding eigenfunctions of the associated Lax equation. Using this representation, the N-soliton solutions of the nonlinear self-dual network equation are given from the zero "seed" solution by the N-fold DT. A general form of the N-degenerate soliton is constructed from the determinants of N-soliton by a special limit λ_j →λ_1 and by using the higher-order Taylor expansion. For 2-degenerate and 3-degenerate solitons, approximate orbits are given analytically,which provide excellent fit of exact trajectories. These orbits have a time-dependent "phase shift", namely ln(t^2).
文摘We know that the self-dual Yang-Mills (SDYM) equation has infinitely manysymmetries, and these symmtries constitute an infinite dimensional Lie algebra.This property is commonly shared by almost all the 1+l-dimensional integrableevolution equations (soliton equations), and has become a very important criterion ofintegrability for the evolution equations. So in a sense the SDYM equation is integr-able. In recent years people have found that some typical soliton equations, such
