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首页> 外文期刊>Applied Computational Electromagnetics Society journal >Plane Wave Scattering by a Dielectric Circular Cylinder in the Vicinity of a Conducting Strip (TM Case)
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Plane Wave Scattering by a Dielectric Circular Cylinder in the Vicinity of a Conducting Strip (TM Case)

机译：通过电介质圆筒在导电条附近（TM Case）的平面波散射

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摘要

Scattering of plane electromagnetic waves by a dielectric circular cylinder in the vicinity of a conducting strip is presented. Two methods of solution are introduced. The first is an exact solution in which the scattered field from conducting strip is expressed in terms of Fourier series of radial and angular Mathieu function of unknown coefficient. Meanwhile the scattered field from the circular cylinder is expressed in terms of Fourier series of Bessel functions of unknown coefficient. The unknown coefficient can be obtained by enforcing the boundary conditions. The application of the boundary condition requires the use of the addition theorem of Mathieu to Bessel functions and vice versa. The second method is based in an asymptotic technique introduced by Karp and Russek for solving scattering by wide slit. The technique assumes the total scattered field from the strip and the dielectric cylinder as the sum of the scattered fields from the individual element due to a plane incident wave plus scattered fields from factious line sources of unknown intensity located at the center of every element. The line sources account for the multiple scattering effect. By enforcing the boundary conditions, the intensity of the line sources can be calculated. Numerical examples are calculated using both methods showing excellent agreement in all cases.
机译：提出了通过电介质圆筒在导电条附近的平面电磁波散射。介绍了两种解决方案。首先是一种精确的解决方案，其中来自导电条的散射场以傅立叶系列的径向和角数学函数的焦点和角数学函数表示。同时，圆柱圆柱的散射场以未知系数的傅立叶系列的贝塞尔函数表示。通过强制边界条件可以获得未知的系数。边界条件的应用需要使用Mathieu的添加定理到Bessel函数，反之亦然。第二种方法基于KARP和Russek引入的渐近技术，用于通过宽狭缝求解散射​​。该技术假定来自条带和介电缸的总散射场作为来自各个元件的散射场的总和由于从位于每个元件的中心的未知强度的派系线源的散射场​​。线路源占多散射效果。通过执行边界条件，可以计算线源的强度。使用两种方法计算数值示例，所述方法在所有情况下显示出良好的一致性。

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