高斯型空间光孤子相互作用的数值研究
Numerical research of interactions between Gaussian-shaped spatial solitons
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摘要: 通过数值模拟的方法，对高斯孤子在对数型饱和非线性介质中的相互作用进行了研究，考查了两光束间的相对振幅和相对相位对其相互作用的影响。结果表明：高斯孤子之间的相互作用敏感地依赖于两光束间的相对振幅和相对相位。在不同的振幅差异范围内，光束间的主要作用交替地表现为相互排斥和相互吸引，并由于高斯孤子的不稳定性，导致了光束在碰撞后以一种尺寸周期性变化的呼吸模式传输。随着相对相位的增大，两光束间始终持续地表现出强烈的排斥作用，直到相对相位增加到一个2π周期之后。而且碰撞之后，光束也都以呼吸模式进行传输，其分离的角度越大，呼吸就越明显。
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关键词:
- 高斯孤子 /
- 对数型饱和非线性介质 /
- 分步傅里叶变换法
Abstract: The interactions between Gaussian-shaped solitons in the logarithmic saturable nonlinear media were numerically investigated. The results show that the interactions between Gaussian-shaped solitons are sensitive to relative amplitude and relative phase. In different regions of relative amplitude, the main effect is repulsion or attraction alternately, and due to the instability of Gaussian solitons, the beams breathe periodically after interactions. Along with the rising of the relative phase, there are stronger repulsions between the beams, until at the end of each cycle. The beams breathe also in this situation, and the larger angle they separate, the more strongly they breathe. -
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