Non-paraxial solitons
Non-paraxial solitons
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非近轴孤子
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
G. New
中科院分区：
文献类型：
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作者：
P. Chamorro;G. S. McDonald;G. New
在本文中，我们提出在小型化非线性光学器件中使用超窄孤子束。我们推导了非近轴非线性薛定谔方程，并表明它具有精确的非近轴孤子解，从中可以在适当的极限内恢复近轴孤子。通过考虑色散关系、旋转变换和近似解，探索了非近轴孤子的物理和数学几何。我们强调了近轴极限的一些非物理方面，并报告了对孤子宽度、孤子面积和孤子（相位）周期的修改，这些修改是由于缓慢变化的包络近似的崩溃而导致的。
In this paper, we propose the use of ultranarrow soliton beams in miniaturized nonlinear optical devices. We derive a nonparaxial nonlinear Schrodinger equation and show that it has an exact non-paraxial soliton solution from which the paraxial soliton is recovered in the appropriate limit. The physical and mathematical geometry of the non-paraxial soliton is explored through the consideration of dispersion relations, rotational transformations and approximate solutions. We highlight some of the unphysical aspects of the paraxial limit and report modifications to the soliton width, the soliton area and the soliton (phase) period which result from the breakdown of the slowly varying envelope approximation.