指数响应的强非局域介质中正交偏振双厄米高斯光束传输特性

Propagation properties of orthogonal polarization double Hermite-Gaussian beams in strongly nonlocal medium with exponential-decay response

运用变分法研究了具有指数响应的强非局域介质中两柬正交偏振、中心重合的厄米高斯光束的传输特性,得到了光束各参量的演化方程和一个临界功率P_c。当两光束以临界功率入射时,可以形成厄米高斯型空间光孤子;当两光束以总功率2P_c入射,但两光束入射功率不相等时,两光束可以形成厄米高斯型呼吸子。通过数值模拟研究发现,低阶光束时,可以得到近似孤子解;当光束阶数大于3阶时,则得不到孤子解。比较变分解与数值解,结果表明在光束阶数小于3阶时,变分解较好地反映了具有指数响应的强非局域介质中两束正交偏振、中心重合的厄米高斯光束的传输特性。

The propagation properties of two orthogonal polarized center-coincidence Hermite-Gaussian （HG） beams were investigated in strongly nonlocal medium with exponential-decay response using variational method. The evolutional equations for the parameters of HG beams and one critical power Pc were obtained. The HG spatial optical solitons come into being when the two incidental powers are both equal to the critical power. However, when two beams are incident with total power 2Pc while the two incident powers axe not equal, they form HG breathers. By means of numerical simulation, the beam with low order may have approximate soliton solution. When the orders of beam are higher than the third, there are no soliton solutions. By comparing variational solution with numerical solution, it＇s found that when the order of beams are under the third the variational solutions can well reveal the propagation properties of orthogonal polarization center-coincidence double HG beams in strongly nonlocal medium with exponentialdecay response.