Propagation of Electromagnetic Waves in a Waveguide Filled with Space-Time Multiperiodic Medium

2019 Radiation and Scattering of Electromagnetic Waves (RSEMW) Pub Date : 2019-06-01 DOI:10.1109/RSEMW.2019.8792699

E. Gevorkyan

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Abstract

In this article the interaction of transverse-electric (TE) and transverse-magnetic (TM) waves with space-time nonmagnetic multiperiodically modulated filling of the waveguide is considered under the assumption of small modulation indexes. TE and TM fields in the waveguide are described by the longitudinal components of magnetic and electric vectors, respectively. The wave equations for the specified components are received from Maxwell equations, which are reduced to the Mathieu-Hill equations by changing variables. The solutions of these equations in the frequency domain of "weak" interaction of signal wave with modulation wave (the Wulff-Bragg condition is not satisfied) was found with an accuracy of terms proportional to in the first degree of modulation indexes. It is shown, that TE and TM fields in the waveguide in the approximation, indicated above, consist of the sum of three space-time harmonics with different amplitudes. An analytical expression is also found for the frequency around which a "strong" interaction between the signal wave and the waveguide modulation wave can occur.

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电磁波在空时多周期介质波导中的传播

本文在小调制指数的假设下，研究了横电波和横磁波与空时非磁多周期调制填充波导的相互作用。波导中的TE场和TM场分别由磁矢量和电矢量的纵向分量来描述。指定分量的波动方程由麦克斯韦方程得到，通过改变变量将其简化为马修-希尔方程。在信号波与调制波“弱”相互作用(不满足Wulff-Bragg条件)的频域内，得到了这些方程的解，其精度与调制指标的一阶成正比。结果表明，在上述近似中，波导中的TE场和TM场由三个不同振幅的时空谐波之和组成。对于信号波和波导调制波之间的“强”相互作用可能发生的频率，还发现了一个解析表达式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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2019 Radiation and Scattering of Electromagnetic Waves (RSEMW)

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