摘要
高斯光束在光伏光折变晶体中孤立波的演化满足傍轴方程.傍轴方程可以看作无限维Hamiltonian系统并可以利用辛几何算法进行计算.数值结果表明外加电场和光伏场的强弱和入射高斯光束的振辐对形成稳定的孤立波有显著的影响.傍轴方程的辛几何差分格式能很好地模拟傍轴方程中孤立波的演化行为.
Solitary evolutions of gauss beams in photovoltaic-photorefractive crystal satisfy the paraxial equation. The paraxial equation was transformed into the symplectic structure of the infinite dimensional Hamiltonian system and the symplectic structure of the paraxial equation was discretizated by the symplectic method. The symplectic difference scheme of the paraxial equation was obtained. Numerical results showed the intensity of the applied field and the amplitude of the gauss beams have remarkable infulence on forming the steady solitary waves. The symplectic difference scheme can well simulate the solitary evolution behaviors of the paraxial equation.
出处
《计算数学》
CSCD
北大核心
2009年第4期419-424,共6页
Mathematica Numerica Sinica
基金
国家自然科学基金(10401033)资助项目
关键词
光伏光折变晶体
傍轴方程
辛几何算法
高斯光束
Photovoltaic-photorefractive crystal
Paraxial equation
Symplectic method Gauss beam
