Two-dimensional Bragg resonator with nonperiodic radial and angular perturbation of parameters

V. Borulko, V.E. Ivanilov
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Abstract

The reflection and angular-mode transformation of electromagnetic waves propagating in a medium with small two-dimensional quasi-periodic inhomogeneity are theoretically considered. Using a complex form of the asymptotic method of Krylov, Bogoliubov and Mitropolsky (1961), expressions for the coupling coefficients of the propagating waves are derived. The existence of "Brewster radius" in the Bragg phenomenon is discovered for the case of TE waves in a medium with periodic perturbation of permeability. Radial distributions of complex amplitudes are numerically computed.
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具有参数非周期径向和角摄动的二维布拉格谐振腔
从理论上考虑了电磁波在小二维准周期非均匀性介质中的反射和角模变换。利用Krylov, Bogoliubov和Mitropolsky(1961)的渐近方法的复数形式,导出了传播波耦合系数的表达式。在具有周期性磁导率扰动的介质中,发现了TE波在Bragg现象中存在“布鲁斯特半径”。对复振幅的径向分布进行了数值计算。
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