Abstract

The rigorous solution of the problem of scattering of a plane electromagnetic wave by the semitransparent half-plane is presented. The solution is obtained using the method of the Sommerfeld—Malyuzhinets integral for two polarizations of the incident field. The analytical representation of the cylindrical wave scattered by the edge of the semitransparent half-plane is obtained with the use of the rigorous solution mentioned above. The accuracy of this analytical representation is tested by the comparison of numerical results obtained using the Wiener—Hopf method.

中文翻译：

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用Malyuzhinets方法求解半透明半平面散射问题

摘要

提出了半透明半平面散射平面电磁波问题的严格解决方案。解决方案是使用Sommerfeld-Malyuzhinets积分方法对入射场的两个极化进行求解。通过使用上述严格的解决方案，可以得到半透明半平面边缘散射的圆柱波的解析表示。通过比较使用Wiener-Hopf方法获得的数值结果来测试此分析表示法的准确性。