用熵描述非线性光传输的解析分析

Analytical derivation on entropy representing nonlinear propagation of light

本文给出了光函数熵的定义 ,解析推导了几种具体情况下光的熵。结果表明 ,熵的方法能用于描述光传输过程 :熵变化率大于零时 ,光函数波形展宽 (发散 ) ;熵变化率小于零时 ,光函数波形压缩 (聚焦 )。

In this paper, the entropy in quantum mechanics is introduced to represent nonlinear propagation of light in the framework of the Schroedinger formulation of light propagation. Our analytical derivation show that the entropy and its differentiation with respect to the propagation direction can describe the compression and broadening of light pulse(or the focusing and diffussion of light beam).