物理学报
物理學報
물이학보
2013年
11期
36-41
,共6页
姜先策%徐斌%梁检初%易林
薑先策%徐斌%樑檢初%易林
강선책%서빈%량검초%역림
空间光孤子%贝塞尔晶格%边界%自相似
空間光孤子%貝塞爾晶格%邊界%自相似
공간광고자%패새이정격%변계%자상사
spatial optical solitons%Bessel lattice%boundary%self-similarity
本文采用自相似方法求解中空圆柱形边界贝塞尔晶格中变系数非线性薛定谔方程,得到了与数值模拟解一致的解析解,表明由非衍射贝塞尔光束诱导的光子晶格可支持稳定的自相似孤子簇.精确解ψmn是n+2层,2m极的多极孤立波,其形状及大小在传播过程中保持不变.
本文採用自相似方法求解中空圓柱形邊界貝塞爾晶格中變繫數非線性薛定諤方程,得到瞭與數值模擬解一緻的解析解,錶明由非衍射貝塞爾光束誘導的光子晶格可支持穩定的自相似孤子簇.精確解ψmn是n+2層,2m極的多極孤立波,其形狀及大小在傳播過程中保持不變.
본문채용자상사방법구해중공원주형변계패새이정격중변계수비선성설정악방정,득도료여수치모의해일치적해석해,표명유비연사패새이광속유도적광자정격가지지은정적자상사고자족.정학해ψmn시n+2층,2m겁적다겁고립파,기형상급대소재전파과정중보지불변.
By using the self-similar method to solve the nonlinear Schr¨odinger eguation with distributed coefficients, the self-similar solitons in Bessel lattice are studied under the hollow cylinder boundary conditions and the analytical solutions are obtained. Analytical solutions and numerical solutions are found to be identical. The result indicates that optical lattices induced by non-diffractive Bessel beams are possible to support stable self-similar soliton clusters.
