Scattering of evanescent electromagnetic waves by a cylinder near the flat boundary: the Green function and fast numerical method

Oleg V. Belai; Leonid L. Frumin; Sergey V. Perminov; David A. Shapiro

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Scattering of evanescent electromagnetic waves by a cylinder near the flat boundary: the Green function and fast numerical method

机译：圆柱在平面边界附近对of逝电磁波的散射：格林函数和快速数值方法

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摘要

The scattering of plane evanescent waves by a cylinder is studied. The Green function for the Helmholtz equation for two dielectrics with flat interface is found and applied for the numerical calculation of the scattered field by the boundary elements method. The Green function keeps close track of scattering, including multiple reflections. The result may be applicable for the data analysis in near-field optical microscopy.

机译：研究了圆柱体对平面e逝波的散射。找到两个界面平坦的电介质的亥姆霍兹方程的格林函数，并将其用于边界元法对散射场的数值计算。绿色功能可密切跟踪散射，包括多次反射。该结果可能适用于近场光学显微镜中的数据分析。

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《Optics Letters》 |2011年第6期|共3页
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Oleg V. Belai; Leonid L. Frumin; Sergey V. Perminov; David A. Shapiro;
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1. Scattering of evanescent electromagnetic waves by a cylinder near the flat boundary: the Green function and fast numerical method [J] . Oleg V. Belai, Leonid L. Frumin, Sergey V. Perminov, Optics Letters . 2011,第6期

机译：圆柱在平面边界附近对of逝电磁波的散射：格林函数和快速数值方法
2. Numerical simulation of electromagnetic waves in Schwarzschild space-time by finite difference time domain method and Green function method [J] . Jia Shouqing, La Dongsheng, Ma Xuelian Computer physics communications . 2018,第期

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4. Method of image Green's function for waves scattering from two homogeneous media with a periodic rough boundary [C] . Yasuhiko Tamura 電磁界理論研究会 . 2015

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5. Fast numerical methods for mixed, singular Helmholtz boundary value problems and Laplace eigenvalue problems—with applications to antenna design, sloshing, electromagnetic scattering and spectral geometry [D] . Akhmetgaliyev, Eldar 2016

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6. Rapidly convergent quasi-periodic Green functions for scattering by arrays of cylinders—including Wood anomalies [O] . Oscar P. Bruno, Agustin G. Fernandez-Lado -1

机译：快速收敛的准周期格林函数用于通过圆柱阵列（包括木材异常）进行散射
7. Scattering of evanescent wave by two cylinders near a flat boundary [O] . O. V. Belai, L. L. Frumin, S. V. Perminov, 2012

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8. Fast Numerical Solution of Scattering by a Cylinder: Spectral Method for theBoundary Integral Equations [R] . Hu, F. Q. 1994

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Scattering of evanescent electromagnetic waves by a cylinder near the flat boundary: the Green function and fast numerical method

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