1 湖北科技学院电子与信息学院, 湖北 咸宁 437100
2 哈尔滨工程大学理学院,纤维集成光学教育部重点实验室, 黑龙江 哈尔滨 150001
采用自相似方法,时空调制的光子晶格广义变系数的非线性薛定谔方程化简为常系数方程,将相关的表达式代入原方程,得到了不同传播形式的精确孤子解,并详细讨论了周期性分布的亮、暗呼吸子的传输性质。
非线性光学 空间孤子 光子晶格 呼吸子 nonlinear optics spatial solitons photonic crystal lattice breather
Author Affiliations
Abstract
State Key Laboratory of Modern Optical Instrumentation, Department of Optical Engineering, Zhejiang University, Hangzhou 310027, China
We investigate the properties of spatial solitons in the fractional Schr dinger equation (FSE) with parity-time (PT)-symmetric lattice potential supported by the focusing of Kerr nonlinearity. Both one- and two-dimensional solitons can stably propagate in PT-symmetric lattices under noise perturbations. The domains of stability for both one- and two-dimensional solitons strongly depend on the gain/loss strength of the lattice. In the spatial domain, the solitons are rigidly modulated by the lattice potential for the weak diffraction in FSE systems. In the inverse space, due to the periodicity of lattices, the spectra of solitons experience sharp peaks when the values of wavenumbers are even. The transverse power flows induced by the imaginary part of the lattice are also investigated, which can preserve the internal energy balances within the solitons.
Spatial solitons Fractional Fourier transforms Kerr effect Photonics Research
2018, 6(9): 09000875
为了研究厄米-高斯光束在光折变饱和非线性介质中的传输特性, 采用有限差分方法数值求解了光波演化方程,理论分析了厄米-高斯光束的传输特性。结果表明, 1维1阶、2阶和3阶厄米-高斯光束在光折变非线性介质中传输时, 在合适的非线性条件下, 均可以形成呼吸模式的孤子; 随着非线性的加大, 厄米-高斯光束的光场分量之间的相互分离趋势将逐渐变弱, 同时, 每个光场分量的振幅起伏效应会更加明显; 改变厄米-高斯光束的入射位置、入射角度对其传输特性没有影响; 2维厄米-高斯光束的传输特性和1维情况是类似的。厄米-高斯光束的这些特性在光开关领域有一定的应用前景。
非线性光学 厄米-高斯光束 光折变效应 空间孤子 nonlinear optics Hermite-Gaussian beam photorefractive effect spatial solitons
Author Affiliations
Abstract
1 Department of Applied Physics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2 Key Laboratory of Radar Imaging and Microwave Photonics, Ministry of Education, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
We report on the rich dynamics of two-dimensional fundamental solitons coupled and interacting on the top of an elliptical shaped potential in a two-dimensional Ginzburg–Landau model. Under the elliptical shaped potential, the solitons display unique and dynamic properties, such as the generation of straight-line arrays, emission of either one elliptical shaped soliton or several elliptical ring soliton arrays, and soliton decay. When changing the depth and sharpness of the external potential and fixing other parameters of the potential, various scenarios of soliton dynamics are also revealed. These results suggest some possible applications for all-optical data-processing schemes, such as the routing of light signals in optical communication devices.
190.0190 Nonlinear optics 190.6135 Spatial solitons Chinese Optics Letters
2015, 13(4): 041901
Author Affiliations
Abstract
1 College of Electronic Engineering, Dongguan University of Technology, Dongguan 523808, China
2 State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-sen University, Guangzhou 510275, China
We present a theory to investigate the existence and the propagation properties of incoherently coupled single-hump and dipole soliton pairs in self-defocusing media with parity-time symmetric lattice. These soliton pairs can exist provided that they are composed of two optical beams with the same polarization and wavelength. It is found that single-hump soliton pairs are always stable when the components copropagate in the lattice, whereas high-power dipole soliton pairs are unstable. If one of the components is absent, the propagation behavior of the other one is also studied.
190.6135 Spatial solitons 270.0270 Quantum optics Chinese Optics Letters
2015, 13(s1): S11901
Author Affiliations
Abstract
1 School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, China
2 Department of Physics, Shanghai University, Shanghai 200444, China
Elliptic vortex solitons are investigated in anisotropic nonlocal media with more general formulations. We address the existence and dynamics of such solitons analytically and numerically. The solution of elliptic vortex solitons depends on the eccentricity of both the input beam and nonlocal response function. With different degrees of nonlocality, we numerically investigate the evolution of the elliptic vortex solitons, and find that, typically, the elliptic vortex solitons with single and double charges collapse into spiraling dipole- and tripole-like soliton clusters, respectively.
190.6135 Spatial solitons 190.4420 Nonlinear optics, transverse effects in Chinese Optics Letters
2014, 12(12): 121901
Author Affiliations
Abstract
We report on the existence and stability of defect solitons in two-dimensional optical Bessel potentials. It is found that for zero defect, defect solitons are stable in the entire existence domain. For negative defects, defect solitons are unstable in the moderate power region. It is worth emphasizing that for deep enough defects, another unstable domain will emerge in the high power region.
190.0190 Nonlinear optics 190.6135 Spatial solitons Chinese Optics Letters
2014, 12(s1): S11902
Author Affiliations
Abstract
Different from the cases discussed preciously, nonlinear changes of refractive index in the photorefractive materials are influenced by both the linear and quadratic electro-optic effect simultaneously now. Here we present the evolution equations of one-dimension incoherently coupled spatial soliton families due to two-photon effect in biased photorefractive crystals with both the linear and quadratic electro-optic effect and discuss their existence conditions and properties in detail. Our analysis indicates that these soliton families can exist in all three possible realizations: dark-dark, bright-bright and dark-bright provided that the incident beams have the same polarization, wavelength and are mutually incoherent. Finally, the stabilities of these soliton families have been discussed by means of beam propagation methods.
190.0190 Nonlinear optics 190.5330 Photorefractive optics 190.6135 Spatial solitons 160.2100 Electro-optical materials Chinese Optics Letters
2014, 12(4): 041901
Author Affiliations
Abstract
A unified theory to construct exact optical rogue wave solutions of (1+1)-dimensional nonlinear Schrodinger equation with varying coefficients is proposed. The dynamics of the first-order optical rogue waves in nonlinear graded-index waveguide amplifiers exhibiting self-focusing or self-defocusing Kerr nonlinearity are also investigated. Moreover, under the suitable parameter condition, the propagation characteristics of the rogue waves in the nonlinear optical media are discussed. The properties of the optical rogue waves, such as width, amplitude, and position, can be controlled in the nonlinear optical media.
190.6135 Spatial solitons 190.4420 Nonlinear optics, transverse effects in Chinese Optics Letters
2013, 11(3): 031901
Author Affiliations
Abstract
The influence of diffusive nonlinearity on mobility of photovoltaic lattice solitons is demonstrated. The dynamical evolution of collision between photovoltaic lattice solitons and nonlinear lattices are simulated numerically. The results show the lattice solitons with a transverse velocity have complicated behaviors and will not propagate with an oblique trajectory. When considering the diffusive nonlinearity, we find that diffusive nonlinearity can introduce a nonlinear chirped phase to lattice soliton and the lattice soliton with a special incident angle can become a "tilted soliton".
190.0190 Nonlinear optics 190.5330 Photorefractive optics 190.6135 Spatial solitons Chinese Optics Letters
2012, 10(s1): S11901
