Two level complex image method for periodic Green’s function in scattering problem of periodic rough surface

2021 ◽  
Author(s):  
Lin Li
Keyword(s):  
Green’S Function ◽  
Rough Surface ◽  
Green's Function ◽  
Scattering Problem ◽  
Image Method ◽  
Complex Image

Analysis of Microstrip Filter Circuit Based on Network Port Model of MOM

2013 ◽  
Vol 303-306 ◽  
pp. 1859-1863 ◽  
Author(s):  
Hong Wei Sun ◽  
Xiao Chun Wang
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Network Theory ◽  
Image Method ◽  
Method Of Moment ◽  
Microstrip Filter ◽  
Numerical Result ◽  
Complex Image ◽  
Discrete Complex Image Method ◽  
Discrete Complex

By combining the method of moment (MoM) and the method of network analysis, we analyze the microstrip filter circuits. First, we deduce and calculate the closed form multilayered Green’s function by using the discrete complex image method. Then, we apply the multilayered Green’s function into the method of moment (MoM) and by using the multi-port network theory, we get the networks parameters. At last, the numerical result proves the method’s accuracy and validity.

Electromagnetic Scattering from Perfectly Conducting Periodic Rough Surfaces Using Improved Complex Images Method

2014 ◽  
Vol 989-994 ◽  
pp. 3777-3781
Author(s):  
Lin Li ◽  
Wen Chao Zheng
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Electromagnetic Scattering ◽  
Image Method ◽  
Finite Series ◽  
Periodic Surfaces ◽  
Complex Image ◽  
Image Technique ◽  
Close Form ◽  
Complex Images

In this paper, an improved complex image method to derive closed form periodic Green’s function for problem of scattering from perfectly conducting periodic surfaces is considered. The complex image technique represents a close-form periodic Green’s function consisting of a finite series of real sources and two finite series of complex sources with complex locations and amplitudes. Then the integral equation with the complex images periodic Green’s function in the kernel is solved by the method of moments. Results and computational times obtained by this improved complex image method and the previous one are compared with those obtained by the spectral Kummer-Poisson’s method. Results show that the improved complex image method is more accurately than the previous one.

Theory of Electron Diffraction by Crystals

1967 ◽  
Vol 22 (4) ◽  
pp. 422-431 ◽  
Author(s):  
Kyozaburo Kambe
Keyword(s):  
Integral Equation ◽  
Electron Diffraction ◽  
General Theory ◽  
Green’S Function ◽  
Green's Function ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Two Dimensions ◽  
The Third ◽  
Third Dimension

A general theory of electron diffraction by crystals is developed. The crystals are assumed to be infinitely extended in two dimensions and finite in the third dimension. For the scattering problem by this structure two-dimensionally expanded forms of GREEN’S function and integral equation are at first derived, and combined in single three-dimensional forms. EWALD’S method is applied to sum up the series for GREEN’S function.

Mean dyadic Green's function of a randomly rough surface

1994 ◽  
Vol 72 (1-2) ◽  
pp. 20-29 ◽  
Author(s):  
Saba Mudaliar
Keyword(s):  
Integral Equation ◽  
Green’S Function ◽  
Multiple Scattering ◽  
Rough Surface ◽  
Green's Function ◽  
Diagram Method ◽  
Dyadic Green’S Function ◽  
Dyadic Green's Function ◽  
Special Cases ◽  
Randomly Rough Surface

The problem of wave propagation and scattering over a randomly rough surface is considered from a multiple-scattering point of view. Assuming that the magnitude of irregularities are small an approximate boundary condition is specified. This enables us to derive an integral equation for the dyadic Green's function (DGF) in terms of the known unperturbed DGF. Successive iteration of this integral equation yields the Neumann series. On averaging this and using a diagram method the Dyson equation is derived. Bilocal approximation to the mass operator leads to an integral equation whose kernel is of the convolution type. This is then readily solved and the results are presented in a simplified and useful form. It is observed that the coherent reflection coefficients involve infinite series of multiple scattering. Two special cases are considered the results of which are in agreement with our expectations.

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