二阶非线性介质中新型的空间光孤子

New types of spatial optical solitons in a diffractive quadratic nonlinear medium

在二阶非线性介质中,人们已得到了二波相互作用系统在静态条件(不依赖Z,即Z≡0)下包括双凹陷暗空间光孤子在内的一些定域解,而对二波相互作用系统在非静态条件(依赖Z,即Z≠0)下的动力学行为了解甚少.利用雅可比椭圆函数方法可得到二波相互作用系统在非静态条件下的一些精确解.结果表明:在静态条件下存在的双凹陷暗空间光孤子在非静态条件下同样存在;通过对静态情形的进一步研究发现了包括亮空间光孤子、暗空间光孤子和双凹陷空间光孤子在内的一些新颖孤子解.

Localized solutions for two-wave interactions in quadratic nonlinear media under the stationary condition （independent of Z, i.e.δz≡0 ）, including a twin-hole dark soliton were obtained. However, to our acknowledge, little was known to the system under the non-stationary condition （dependent of Z, when δz≠0 ）. The exact solutions of the system under the non-stationary condition were obtained based on Jacobian elliptical function method. The two-hole dark solitons also existed. As auxiliary investigation to the stationary case, several solitary solutions including bright solitons, dark solitons and twin-hole solitons were also found.