嵌入反射丝的光折变介质中光束的非线性光的衍射
Nonlinear diffraction of light beams propagating in photorefractive media with embedded reflecting wire
摘要：
发展了强光束通过光折变介质的非线性衍射理论。衍射发生在嵌入非线性介质中的反射线上，相对于光束传播方向成相对小的角度。它表明，这个过程是类似于波的产生由一个流动的超流体过去的障碍。这种超流体的“状态方程”由介质的非线性性质决定。在这种流体动力学类比的基础上，引入了“马赫数”的概念，其中波矢量的横向分量起流体速度的作用。发现马赫锥将衍射图样分成两个区域：马赫锥内产生斜暗孤子，马赫锥外产生"船波“区域。本文发展了“船波”的解析理论，找到了描述光束传输的方程的二维暗孤子解，研究了暗孤子在衰减成涡旋时的稳定性，结果表明，当马赫数足够大时，暗孤子是稳定的。
英文摘要：
The theory of nonlinear diffraction of intensive light beams propagating through photorefractive media is developed. Diffraction occurs on a reflecting wire embedded in the nonlinear medium at relatively small angle with respect to the direction of the beam propagation. It is shown that this process is analogous to the generation of waves by a flow of a superfluid past an obstacle. The ``equation of state'' of such a superfluid is determined by the nonlinear properties of the medium. On the basis of this hydrodynamic analogy, the notion of the ``Mach number'' is introduced where the transverse component of the wave vector plays the role of the fluid velocity. It is found that the Mach cone separates two regions of the diffraction pattern: inside the Mach cone oblique dark solitons are generated and outside the Mach cone the region of ``ship waves'' is situated. Analytical theory of ``ship waves'' is developed and two-dimensional dark soliton solutions of the equation describing the beam propagation are found. Stability of dark solitons with respect to their decay into vortices is studied and it is shown that they are stable for large enough values of the Mach number.
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