离散非线性Schroedinger方程的普适性
On the universality of the Discrete Nonlinear Schroedinger Equation
摘要：
讨论了离散非线性薛定谔方程的普遍适用性。通过对光晶格的对称性分析，采用一种新颖的自上而下/自下而上的方法，导出了适用范围最广、最简单的光晶格模型，揭示了离散非线性薛定谔方程在离散张量非线性系统以及非傍轴效应和矢量效应的存在下，也“普适”地适用于描述光的传播.
英文摘要：
We address the universal applicability of the discrete nonlinear Schroedinger equation. By employing an original but general top-down/bottom-up procedure based on symmetry analysis to the case of optical lattices, we derive the most widely applicable and the simplest possible model, revealing that the discrete nonlinear Schroedinger equation is ``universally'' fit to describe light propagation even in discrete tensorial nonlinear systems and in the presence of nonparaxial and vectorial effects.
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