具有不同表面阻抗值的条纹系统的波衍射数学模型

V. Dushkin, V. Melnik
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引用次数: 0

摘要

建立了e极化波和h极化波在非完全导电带有限系统上衍射的数学模型。条纹两侧的表面阻抗值不同。将具有第三类边界条件的亥姆霍兹方程的初边值问题简化为一个边界积分方程组。该边界积分方程组由第一类奇异积分方程和第二类具有对数奇异性的积分方程组成。采用积分算子的参数化表示方法进行变换。该过程的物理特性值是通过得到的积分方程组的解来表示的。采用基于离散奇异点法的计算格式对这些方程进行了数值求解。
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MATHEMATICAL MODEL OF WAVE DIFFRACTION BY THE SYSTEM OF STRIPES WITH DIFFERENT VALUES OF SURFACE IMPEDANCE
A mathematical model of diffraction of E-polarized and H-polarized waves on a finite system of not perfectly conducting tapes is obtained. The value of the surface impedance on the two sides of the stripes is different. The initial boundary value problem for the Helmholtz equation with boundary conditions of the third kind was reduced to a system of boundary integral equations. This system of boundary integral equations consists of singular integral equations of the first kind and integral equations of the second kind with a logarithmic singularity. The method of parametric representation of integral operator was used to perform transformations. The values of the physical characteristics of the process are expressed through the solutions of the obtained systems of integral equations. Numerical solution of these equations is performed using a computational scheme based on the discrete singularities method.
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