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非简并孤子在马纳科夫系统中的研究。

Nondegenerate Solitons in Manakov System.

机构信息

Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli-620 024, India.

出版信息

Phys Rev Lett. 2019 Feb 1;122(4):043901. doi: 10.1103/PhysRevLett.122.043901.

Abstract

It is known that the Manakov equation which describes wave propagation in two mode optical fibers, photorefractive materials, etc., can admit solitons which allow energy redistribution between the modes on collision that also leads to logical computing. In this Letter, we point out that the Manakov system can admit a more general type of nondegenerate fundamental solitons corresponding to different wave numbers, which undergo collisions without any energy redistribution. The previously known class of solitons which allows energy redistribution among the modes turns out to be a special case corresponding to solitary waves with identical wave numbers in both the modes and traveling with the same velocity. We trace out the reason behind such a possibility and analyze the physical consequences.

摘要

已知,描述双模光纤、光折变材料等中波传播的马纳科夫方程可以允许孤子存在,孤子在碰撞时可以在模式之间重新分配能量,从而实现逻辑计算。在本信中,我们指出马纳科夫系统可以允许一类更一般的非简并基孤子存在,它们对应于不同的波数,在不发生任何能量重新分配的情况下发生碰撞。之前已知的可以在模式之间重新分配能量的孤子类是一个特例,对应于两个模式中具有相同波数且以相同速度传播的孤子波。我们追溯了这种可能性背后的原因,并分析了其物理后果。

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