Fredholm integral equations: Scattering on dielectric structures

机译：Fredholm积分方程：在介电结构上的散射

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摘要

We consider volume singular integral equations (VSIEs) which describe electromagnetic scattering on 3D inhomogeneous dielectric structures. By using the theory of multidimensional integral equations we reduce VSIEs to the Fredholm integral equations of the second kind.

机译：我们考虑了体积奇异积分方程（VSIE），该方程描述了3D非均匀介电结构上的电磁散射。通过使用多维积分方程的理论，我们将VSIE简化为第二类Fredholm积分方程。

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来源
《2016 URSI International Symposium on Electromagnetic Theory》|2016年|509-511|共3页
会议地点 Espoo(FI)
作者
A.B. Samokhin; A.S. Samokhina;
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作者单位

Moscow Technological University (MIREA), Russia;

Institute of Control Sciences of Russian Academy of Sciences, 65, Profsoyznaya street, 117997, Moscow, Russia;

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会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
Integral equations; Dielectrics; Electromagnetic scattering; Mathematical model; Three-dimensional displays; Periodic structures;

机译：积分方程;介电;电磁散射;数学模型;三维显示;周期结构;

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专利

1. 3D Fredholm integral equations for scattering by dielectric structures [J] . Samokhin A. B., Samokhina A. S. Differential equations: A translation of differensial'nye uraveniya . 2016,第9期

机译：用于介电结构散射的3D Fredholm积分方程
2. Monte Carlo algorithms for solving Fredholm integral equations and Fredholm differential integral equations [J] . B. Fathi Vajargah, M. Moradi Applied mathematical sciences . 2007,第9a12期

机译：求解Fredholm积分方程和Fredholm微分积分方程的Monte Carlo算法
3. Volume singular integral equations for problems of scattering on three-dimensional dielectric structures [J] . Samokhin A. B. Differential equations: A translation of differensial'nye uraveniya . 2014,第9期

机译：三维介电结构散射问题的体积奇异积分方程
4. Fredholm integral equations: Scattering on dielectric structures [C] . A.B. Samokhin, A.S. Samokhina URSI Commission B International Symposium on Electromagnetic Theory . 2016

机译：Fredholm积分方程：施介质结构上的散射
5. An efficient and robust solution to time domain integral equations of electromagnetics and their implementation for homogeneous and inhomogeneous dielectric scatterers. [D] . Pisharody, Greeshma. 2006

机译：一种有效且鲁棒的电磁时域积分方程解决方案及其对均质和非均质介电散射体的实现。
6. Efficient numerical technique for solution of delay Volterra-Fredholm integral equations using Haar wavelet [O] . Rohul Amin, Kamal Shah, Muhammad Asif, 2020

机译：哈尔小波延迟Volterra-Fredholm整体方程的高效数值技术
7. Second‐kind Fredholm integral‐equation analysis of scattering by layered dielectric gratings [O] . Nikolaos L. Tsitsas 2021

机译：分层电介质光栅散射的第二种Fredholm积分方程分析

Fredholm integral equations: Scattering on dielectric structures

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