双程色散声光可调谐滤波器设计

声光可调谐滤波器(Acousto-Optic Tunable Filter,AOTF)是一种基于声光效应的色散器件,通过改变超声频率的大小,可以使光的衍射方向发生变化,从而进行波长选择。本研究设计了一种新的双程色散AOTF结构,并利用有限元分析软件对其滤波特性展开研究。研究结果表明,这种双程色散AOTF的设计可以有效地压缩光谱线宽,当中心波长为1064 nm时,在超声工作频率为84 MHz的情况下,线宽压缩效率达到了28.6%,明显提高了光谱分辨率;同时,这种结构还具有较强的抑制旁瓣效果,可以将中心波长为1064 nm的衍射光的旁瓣从-27.0 dB压缩至-44.8 dB,提高了光谱纯净度。

Cauchy Problem for the Nonlinear Double Dispersive Wave Equation

This paper concerns with the Cauchy problem for the nonlinear double dispersive wave equation. By the priori estimates and the method in [9], It proves that the Cauchy problem admits a unique global classical solution. And by the concave method, we give sufficient conditions on the blowup of the global solution for the Cauchy problem.

Explicit Traveling Wave Solutions to Nonlinear Evolution Equations

First of all,some technical tools are developed.Then the author studies explicit traveling wave solutions to nonlinear dispersive wave equations,nonlinear dissipative dispersive wave equations,nonlinear convection equations,nonlinear reaction diffusion equations and nonlinear hyperbolic equations,respectively.