Relationship between the technique of integral equation and Kirchhoff approximation in scalar diffraction theory

Grygorij S. Tymchik, M. Filippova, O. S. Bezverkhyi, W. Wójcik, B. Yeraliyeva, A. Kalizhanova, K. Nurseitova
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Abstract

This paper investigates the relationship between the integral equation and Kirchhoff approximation in the diffraction theory of coherent radiance. The spectrum of the reflected wave is formed in the far field (Fraunhofer zone) and the solution is to Fourier transform of effective reflectance coefficient of a surface. In the paper, the analytical relationship between the method of solving an integral equation and the Kirchhoff approximation has been proven. It helps to define the structure of the field of diffracted waves in a Fraunhofer zone for coherent scattered light. The analytical equations for calculation of the average value of intensity scattering field and the mirror reflection coefficient of a rough surface have been obtained. Analysis of the components of the scattering coherent light coming from a metal surface has been improved. It helps to specify the data processing algorithms for evaluation of statistical characteristics of rough surfaces.
标量衍射理论中积分方程技术与Kirchhoff近似的关系
本文研究了相干辐射衍射理论中积分方程与基尔霍夫近似的关系。在远场(弗劳恩霍夫区)形成反射波的频谱,求解方法是对表面有效反射系数进行傅里叶变换。本文证明了求解积分方程的方法与基尔霍夫近似之间的解析关系。它有助于确定夫琅和费区相干散射光的绕射波场结构。得到了计算粗糙表面强散射场平均值和镜面反射系数的解析式。对金属表面散射相干光的分量分析进行了改进。它有助于指定评估粗糙表面统计特性的数据处理算法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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