物理学报Issue(15)：1-7,7.DOI:10.7498/aps.64.154202
（1+2）维各向同性介质中的旋转椭圆空间光孤子∗
(1+2) Dimensional spiraling elliptic spatial optical solitons in the media without anisotropy
摘要
Abstract
Starting from the nonlocal nonlinear Schrödinger equation in Cartesian coordinates, we also obtained nonlocal nonlinear Schrödinger equation in a rotating coordinate system. Assuming that the response function of media is Gaussian, we obtain the stable solutions of the solitons of nonlocal nonlinear Schrödinger equation in rotating coordinate system by means of the imaginary-time evolution method. The propagation properties of the (1+2) dimensional spiraling elliptic spatial optical solitons in the media is discussed in different degrees of the nonlocality by using the split-step Fourier algorithm.The elliptic soliton profiles of the major and the minor axes are Gaussian shaped in a strongly nonlocal case, but not in a weakly nonlocal case. It is suggested that (1+2) dimensional elliptic solitons be highly dependent on the degree of nonlocality. The angular velocity for the change of the ellipticity is very sensitive when the nonlocality is strong,but in the weakly nonlocal case, the change of the angular velocity is very small.The angular velocity depends strongly on weakly nonlocal case to different degrees of ellipticity. Oppositely, in strongly nonlocal case, the value of the angular velocity is almost unchanged. In another way, the critical power for the solitons decreases as the nonlocality decreases in different degrees of ellipticity.Similarly,the critical power for the solitons decreases as the ellipticity decreases in different degrees of nonlocality.关键词
非局域非线性薛定谔方程/旋转椭圆空间光孤子/临界功率/旋转角速度Key words
nonlocal nonlinear Schrödinger equation/spiraling elliptic solitons/critical power/rotation velocity引用本文复制引用
余亚东,梁果,任占梅,郭旗..（1+2）维各向同性介质中的旋转椭圆空间光孤子∗[J].物理学报,2015,(15):1-7,7.基金项目
国家自然科学基金(批准号:11274125,11474109)资助的课题.@@@@* Project supported by the National Natural Science Foundation of China (Grant Nos.11274125,11474109) （批准号:11274125,11474109）
