非局域非线性克尔介质中两极孤子的变分解  

Variational analysis of dipole soliton in nonlocal nonlinear Kerr media

作　　者：杨振军[1] 李少华[1] 陆大全[1] 胡巍[1] 

机构地区：[1]华南师范大学光子信息技术广东省高校重点实验室,广州510631

出　　处：《物理学报》2010年第7期4707-4714,共8页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10674050;10804033);广东省高等学校科技创新团队计划(批准号:06CXTD005);教育部高等学校博士学科点专项科研基金(批准号:200805740002);河北省自然科学基金(批准号:F2009000321)资助的课题~~

摘　　要：利用变分法对一种假设的两极孤子进行了研究,得到了该两极孤子的参数耦合方程,并对由参数耦合方程得到的结果进行了数值模拟.结果表明,在光束能量较高,趋近于强非局域的情况下,两极孤子横向强度呈一阶厄米-高斯型分布;光束能量较低的弱非局域情况下,两极孤子的两个强度峰之间有一个平台出现.此两极孤子模型还可退化为高斯光束,得到高斯孤子解.By applying the variational method,we studied a kind of dipole soliton in the nonlocal nonlinear Kerr media.The parameter coupling equations of the dipole soliton were obtained,and numerical simulations were carried out.The results show that the transverse intensity distribution of the dipole soliton is similar to Hermite-Gaussian shape under the condition that the dipole soliton has a high energy which approaches the case of strongly nonlocal nonlinearity.There is a platform between the two intensity peaks of the dipole soltion under the condition that the dipole soliton has a low energy which belongs to the case of weakly nonlocal nonlinearity.

关 键 词：非局域非线性 两极孤子 变分法 

分 类 号：O437[机械工程—光学工程]