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偏置串联光折变晶体回路中分离屏蔽孤子对的演化

Evolution of separate screening soliton pairs in a biased series photorefractive crystal circuit.

作者信息

Liu Jinsong, Hao Zhonghua

机构信息

State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan, Hubei 430074, People's Republic of China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Jun;65(6 Pt 2):066601. doi: 10.1103/PhysRevE.65.066601. Epub 2002 Jun 7.

Abstract

This paper presents calculations for an idea in photorefractive spatial soliton, namely, screening solitons form in a biased series photorefractive crystal circuit consisting of two photorefractive crystals connected electronically by electrode leads in a chain with a voltage source. A system of two coupled equations is derived under appropriate conditions for two-beam propagation in the crystal circuit. The possibility of obtaining steady-state bright and dark screening soliton solutions is investigated in one dimension and, the existence of dark-dark, bright-dark, and bright-bright separate screening soliton pairs in such a circuit is proved. The numerical results show that the two solitons in a soliton pair can affect each other by the light-induced current and their coupling can affect their spatial profiles, dynamical evolutions, stabilities, and self-deflection. Under the limit in which the optical wave has a spatial extent much less than the width of the crystal, only the dark soliton can affect the other soliton by the light-induced current, but the bright soliton cannot. For a bright-dark or dark-dark soliton pair, the dark soliton in a weak input intensity can be obtained for a larger nonlinearity than for a stronger input intensity. For a bright-dark soliton pair, increasing the input intensity of the dark soliton can increase the bending angle of the bright soliton. Some potential applications are discussed.

摘要

本文给出了光折变空间孤子中一种概念的计算结果,即在一个由两个光折变晶体通过电极引线以链状形式与电压源电连接而成的偏置串联光折变晶体电路中形成屏蔽孤子。在适当条件下,推导了晶体电路中两束光传播的耦合方程组。研究了在一维情况下获得稳态亮屏蔽孤子和暗屏蔽孤子解的可能性,并证明了在这样一个电路中存在暗 - 暗、亮 - 暗和亮 - 亮分离屏蔽孤子对。数值结果表明,孤子对中的两个孤子可通过光生电流相互影响,它们的耦合会影响其空间分布、动态演化、稳定性和自偏转。在光波的空间范围远小于晶体宽度的极限情况下,只有暗孤子能通过光生电流影响另一个孤子,而亮孤子则不能。对于亮 - 暗或暗 - 暗孤子对,与较强输入强度相比,在较弱输入强度下,非线性更大时可得到暗孤子。对于亮 - 暗孤子对,增加暗孤子的输入强度可增大亮孤子的弯曲角度。文中还讨论了一些潜在应用。

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