非线性周期介质中非常系数耦合波方程研究

Studies on Nonlinear Couple-wave Equation with Non-constant Coupling-coefficient in Nonlinear Period Medium

给出了非线性周期介质中前行波和背行波的非线性耦合波方程，考虑到耦合系数与介质内的光强有关。在一定简化下得到方程的解释解并在无任何简化情况下用数值解结出不同失谐量时入射光强Ⅰi对出射光强Ⅰt的关系图。二种（简化和无简化）情况下均得到了光学双稳态。此外还讨论了产生光学双稳态的条件。

A couple─wave equation for both forward and back waves in nonlinear period medium was presented. It is considered that the coupling coefficient depends on light intensity inside the medium. For certain simplification an analytical solution of the equation was obtained .Without any simplification, incident intensity Ⅰi versus transmission intcnsity Ⅰt for various detuning ttas presented by using numerical solution. Optical bistability (OB) for both analytical and numerical solution were obtained and the conditions for appearance of OB were also discussed.