Abstract

The two-dimensional problem of the diffraction of an electromagnetic wave by a metal diaphragm of finite thickness in an infinite rectangular waveguide is solved and investigated. Using the method of the integral-series identity, the problem is reduced to an infinite system of linear algebraic equations. Through computational experiments, it was shown that the expansion coefficients of the vectors of the diffracted electromagnetic field from the spectral parameter are of a resonant nature. Based on this, it was concluded that the waveguide region corresponding to the hole in the diaphragm is resonant. Moreover, the resonant frequencies of this region are close to the natural frequencies of the corresponding resonator without holes.

中文翻译：

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有限厚度金属膜片上的电磁波衍射

摘要

求解并研究了有限厚度金属膜片在无限矩形波导中衍射电磁波的二维问题。使用积分级数恒等式的方法，将问题简化为线性代数方程的无限系统。通过计算实验表明，来自光谱参数的衍射电磁场矢量的展开系数具有共振性质。基于此，可以得出结论，对应于隔膜中的孔的波导区域是谐振的。此外，该区域的谐振频率接近相应的无孔谐振器的固有频率。