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Electromagnetic Wave Transmission Through A Small Hole In A Perfect Electric Conductorrnof Finite Thickness

机译:电磁波通过理想导体的小孔传输有限的厚度

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The nonresonant electromagnetic transmission of a normal-incident plane wave through a single hole in a perfect conductor metal slab of finite width is studied. The cases of rectangular and circular holes are treated in detail. For holes in the extreme subwavelength regime, in a film of finite thickness, the transmittance is shown to have the Rayleigh dependency upon the wavelength and, in addition, is mainly suppressed due to attenuation of the fundamental waveguide mode. In the limit of an infinitesimally thin screen Bethe's result is recovered for the circular hole. The numerical computations are fitted, providing expressions for the transmission in a wide region of parameters. We reformulate our results in terms of multipole expansion, interpreting the waveguide modes inside the hole as induced multipole moments. This result provides the link between the modal expansion method and the one based on a multipole expansion.
机译:研究了垂直入射平面波通过有限宽度的理想导体金属平板中的单个孔的非共振电磁传输。对矩形和圆形孔的情况进行了详细处理。对于在极限亚波长范围内的孔,在有限厚度的膜中,透射率显示出具有与波长的瑞利相关性,此外,由于基本波导模式的衰减,透射率主要受到抑制。在无限薄的屏幕范围内,对于圆孔,贝斯的结果得以恢复。拟合了数值计算,提供了在广泛参数范围内传递的表达式。我们以多极膨胀的形式重新阐述了我们的结果,将孔内的波导模式解释为感应的多极矩。该结果提供了模态展开方法与基于多极展开的方法之间的联系。

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