Generalization of the Method of Scattering Matrices to Problems in Nonlinear Dispersion Media

IF 0.7 4区 数学 Q3 MATHEMATICS, APPLIED
A. A. Belov, Zh. O. Dombrovskaya
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引用次数: 0

Abstract

In recent years, much attention has been paid to integrated photonics devices based on nonlinear media. A generalization of the transfer matrix method to problems in plane-parallel layered media with quadratic and cubic nonlinearity is proposed. The incident radiation can be either a monochromatic wave or a non-monochromatic pulse. Previously, such problems could only be solved using grid methods. The proposed approaches significantly expand the range of applicability of matrix methods and are drastically superior in efficiency to the well-known grid methods.

Abstract Image

将散射矩阵法推广到非线性弥散介质问题中
摘要 近年来,基于非线性介质的集成光子器件备受关注。本文提出了将传递矩阵法推广到具有二次方和三次方非线性的平面平行层状介质中的问题。入射辐射可以是单色波,也可以是非单色脉冲。以前,这类问题只能用网格方法求解。所提出的方法大大扩展了矩阵方法的适用范围,在效率上大大优于众所周知的网格方法。
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来源期刊
Computational Mathematics and Mathematical Physics
Computational Mathematics and Mathematical Physics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL
CiteScore
1.50
自引率
14.30%
发文量
125
审稿时长
4-8 weeks
期刊介绍: Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.
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