PML Method for Electromagnetic Scattering Problem in a Two-Layer Medium

2017 ◽  
Vol 55 (4) ◽  
pp. 2050-2084 ◽  
Author(s):  
Zhiming Chen ◽  
Weiying Zheng
Keyword(s):  
Electromagnetic Scattering ◽  
Scattering Problem ◽  
Layer Medium

Exponential convergence of Cartesian PML method for Maxwell’s equations in a two-layer medium

2020 ◽  
Vol 54 (3) ◽  
pp. 929-956
Author(s):  
Xiaoqi Duan ◽  
Xue Jiang ◽  
Weiying Zheng
Keyword(s):  
Electromagnetic Scattering ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Numerical Solutions ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Layered Media ◽  
Theoretical Work ◽  
Scattering Problems ◽  
Layer Medium

The perfectly matched layer (PML) method is extensively studied for scattering problems in homogeneous background media. However, rigorous studies on the PML method in layered media are very rare in the literature, particularly, for three-dimensional electromagnetic scattering problems. Cartesian PML method is favorable in numerical solutions since it is apt to deal with anisotropic scatterers and to construct finite element meshes. Its theories are more difficult than circular PML method due to anisotropic wave-absorbing materials. This paper presents a systematic study on the Cartesian PML method for three-dimensional electromagnetic scattering problem in a two-layer medium. We prove the well-posedness of the PML truncated problem and that the PML solution converges exponentially to the exact solution as either the material parameter or the thickness of PML increases. To the best of the authors’ knowledge, this is the first theoretical work on Cartesian PML method for Maxwell’s equations in layered media.

scholarly journals A study of coupling interactions in finite arbitrarily-shaped grooves in electromagnetic scattering problem

2010 ◽  
Vol 18 (3) ◽  
pp. 2743 ◽  
Author(s):  
M. A. Basha ◽  
S. Chaudhuri ◽  
S. Safavi-Naeini
Keyword(s):  
Electromagnetic Scattering ◽  
Scattering Problem

scholarly journals Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems

2021 ◽  
Author(s):  
Changkun Wei ◽  
Jiaqing Yang ◽  
Bo Zhang
Keyword(s):  
Time Domain ◽  
Electromagnetic Scattering ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Scattering Problems ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Time Domain Electromagnetic ◽  
Numer Anal ◽  
The Time Domain

In this paper, we propose and study the uniaxial perfectly matched layer (PML) method for three-dimensional time-domain electromagnetic scattering problems, which has a great advantage over the spherical one in dealing with problems involving anisotropic scatterers. The truncated uniaxial PML problem is proved to be well-posed and stable, based on the Laplace transform technique and the energy method. Moreover, the $L^2$-norm and $L^{\infty}$-norm error estimates in time are given between the solutions of the original scattering problem and the truncated PML problem, leading to the exponential convergence of the time-domain uniaxial PML method in terms of the thickness and absorbing parameters of the PML layer. The proof depends on the error analysis between the EtM operators for the original scattering problem and the truncated PML problem, which is different from our previous work (SIAM J. Numer. Anal. 58(3) (2020), 1918-1940).

scholarly journals Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embedded into a Cylindrical Cell of Similar Material

2009 ◽  
Vol 2009 ◽  
pp. 1-6 ◽  
Author(s):  
Constantine A. Valagiannopoulos
Keyword(s):  
Plane Wave ◽  
Electromagnetic Scattering ◽  
Hypergeometric Functions ◽  
Integral Formula ◽  
Scattering Problem ◽  
Double Series ◽  
Infinite Cylinder ◽  
Shaped Particle ◽  
Plane Wave Scattering ◽  
Good Agreement

An infinite cylinder of arbitrary shape is embedded into a circular one, and the whole structure is illuminated by a plane wave. The electromagnetic scattering problem is solved rigorously under the condition that the materials of the two cylinders possess similar characteristics. The solution is based on a linear Taylor expansion of the scattering integral formula which can be useful in a variety of different configurations. For the specific structure, its own far field response is given in the form of a double series incorporating hypergeometric functions. The results are in good agreement with those obtained via eigenfunction expansion. Several numerical examples concerning various shape patterns are examined and discussed.

On the inversion and phase recovery of scattered electromagnetic amplitude data

1989 ◽  
Vol 426 (1871) ◽  
pp. 361-375 ◽  
Keyword(s):  
Electromagnetic Scattering ◽  
Transverse Electric ◽  
Complex Structure ◽  
Polarization State ◽  
Scattering Problem ◽  
Transverse Magnetic ◽  
One Dimensional ◽  
Amplitude Data ◽  
Transverse Magnetic Polarization ◽  
The One

The one-dimensional inverse electromagnetic scattering problem for the inversion of amplitude data of either linear polarization state is investigated. The method exploits the complex structure of the field scattered from a class of inhomogeneous dielectrics and enables the analytic signal to be reconstructed from measurements of the amplitude alone. The method is demonstrated and exemplified with experimental data in both transverse electric and transverse magnetic polarization states. The implications of the method as a means for regularization of scattered data are briefly discussed.

scholarly journals An Efficient Algorithm for EM Scattering from Anatomically Realistic Human Head Model Using Parallel CG-FFT Method

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Lei Zhao ◽  
Gen Chen
Keyword(s):  
Electromagnetic Scattering ◽  
Efficient Algorithm ◽  
Large Scale ◽  
Scattering Problem ◽  
Human Head ◽  
Head Model ◽  
Em Scattering ◽  
Data Format ◽  
Dielectric Spheres ◽  
Parallel Technique

An efficient algorithm is proposed to analyze the electromagnetic scattering problem from a high resolution head model with pixel data format. The algorithm is based on parallel technique and the conjugate gradient (CG) method combined with the fast Fourier transform (FFT). Using the parallel CG-FFT method, the proposed algorithm is very efficient and can solve very electrically large-scale problems which cannot be solved using the conventional CG-FFT method in a personal computer. The accuracy of the proposed algorithm is verified by comparing numerical results with analytical Mie-series solutions for dielectric spheres. Numerical experiments have demonstrated that the proposed method has good performance on parallel efficiency.

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