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Nonlinear electromagnetics in chiral media: Self-action of waves

机译:手性介质中的非线性电磁:波的自作用

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摘要

We report the development of a theory of the self-action of waves in nonlinear chiral media. The basic equations of nonlinear electromagnetism in a chiral medium are reduced to a set of nonlinear coupled Schrodinger equations (NCSE). A partial solution of the NCSE in the form of planar waves and their stability with respect to small perturbations are examined. The Hamiltonian form of the NCSE, as well as conservation principles and the soliton solutions of the NCSE are presented. The presence of chirality is shown to result in an asymmetry of the solitonic spectrum with respect to the handedness of the field. A theory of the interaction of dark and bright solitons in defocusing chiral media is developed. The obtained results, their possible generalization, and their applications are discussed.
机译:我们报告了非线性手性介质中波的自作用理论的发展。手性介质中的非线性电磁基本方程被简化为一组非线性耦合薛定inger方程(NCSE)。研究了平面波形式的NCSE的部分解及其相对于小扰动的稳定性。介绍了NCSE的哈密顿形式,以及NCSE的守恒原理和孤子解。表现出手性的存在导致了孤子谱相对于场的不对称性。建立了散焦手性介质中暗孤子和亮孤子相互作用的理论。讨论了获得的结果,其可能的概括及其应用。

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