Abstract

A rectangular resonator with holes embedded in two plane-transverse resonant diaphragms is built in a plane infinite waveguide. The problem of diffraction of the intrinsic wave of a waveguide incident on the diaphragm (hole in the wall of the resonator) is solved. The paired series functional equations of the diffraction problem, by the method of integral-adder identities, are reduced to an infinite set of linear algebraic equations, which is solved by the truncation method. The initial diffraction problem is studied from the point of view of the resonant passage of the wave through the resonator region. A computational experiment has shown that partial or complete passage of a wave through a resonator with holes is observed only at frequencies close to the eigen frequencies of the resonator without holes, while the holes in the resonator walls (diaphragm parameters) significantly affect the scattering matrix of this waveguide structure.

中文翻译：

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膜片对电磁波通过波导的共振通过的影响

摘要

在平面无限大的波导中构建了一个矩形谐振器，该谐振器的孔嵌入两个平面横向谐振隔膜中。解决了入射到膜片（谐振器壁上的孔）上的波导的本征波的衍射问题。通过积分加法恒等式，将衍射问题的成对级函数方程简化为线性代数方程的无穷集，这可以通过截断法求解。从波通过谐振器区域的谐振通道的角度研究初始衍射问题。计算实验表明，只有在接近无孔谐振器本征频率的频率下，才能观察到部分或全部波通过有孔谐振器，