光声耦合方程组的近似解

摘要

The interaction of acoustic and optical signals in Bragg gratings was investigated by using the multiple-scales method. The optoacoustic coupled mode equations were transformed into the standard nonlinear Schrodinger equation. The approximate solutions of the optoacoustic coupled mode equations were obtained, such as the single-soliton solution and two-soliton solution, the velocity of the single-soliton and the collision of the two-solitons were also discussed.%利用多重尺度方法,研究了布拉格光栅中光波和声波的相互作用.将光声耦合方程组约化到标准的非线性薛定谔方程,从而由非线性薛定谔方程的解得到了原方程组的近似单孤子解和二孤子解,分析了孤子的速度和二孤子碰撞的图像.