用Krylov-Bogolyubov平均法研究层状介质中周期性扰动的影响

Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413) Pub Date : 2000-09-12 DOI:10.1109/MMET.2000.890542

K. Kramarenko, N.A. Khizhnyak

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引用次数: 0

摘要

用Krylov-Bogolyubov平均法研究了周期性介质中小周期扰动对tm波传播的影响，得到了参数共振现象。由于在未扰动介质允许带内的周期性扰动，出现了禁止带。禁带的出现是由扰动空间谐波与平面波的参数共振所决定的，在此基础上分解了周期介质中波动方程的解。确定了这些波段的位置、数量和宽度。

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Investigation of the influence of periodic disturbances in the layered medium by the method of averaging of Krylov-Bogolyubov

The influence of small periodic disturbances in periodic dielectric medium on propagation of TM-waves, investigated by the Krylov-Bogolyubov averaging method, results in the phenomenon of parametric resonance. As a result of periodic disturbance inside the allowed bands of undisturbed medium forbidden bands appear. The appearance of forbidden bands is conditioned by a parametric resonance between spatial harmonics of disturbance and plane waves, on which the solution of the wave equation in a periodic medium is decomposed. The location, number and width of these bands are determined.

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Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413)

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