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Spectral integral method for electro...

Liu, Jianguo.

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Spectral integral method for electromagnetic wave scattering and its applications.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Spectral integral method for electromagnetic wave scattering and its applications./
Author:	Liu, Jianguo.
Description:	148 p.
Notes:	Adviser: Qing H. Liu.
Contained By:	Dissertation Abstracts International68-06B.
Subject:	Engineering, Electronics and Electrical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3267922
ISBN:	9780549068327

Spectral integral method for electromagnetic wave scattering and its applications.
Liu, Jianguo.

Spectral integral method for electromagnetic wave scattering and its applications. - 148 p.

Adviser: Qing H. Liu.

Thesis (Ph.D.)--Duke University, 2007.

Due to the increasing requirements of simulating the electromagnetic wave scattering of large-scale and complex structures, high-order and spectral methods have become very attractive because of their accuracy and efficiency. A spectral integral method, which is based on the surface integral equation, has been developed to solve the scattering problems of arbitrarily-shaped smooth targets in free space. In this method, the truncated Fourier series are introduced as basis functions, and the fast Fourier transform (FFT) algorithm has been used in calculating the impedance matrix. Also, the singularities in Green's functions have been specially treated using a method of singularity subtraction, which achieves a spectral accuracy in the integral. Furthermore, this spectral integral method has also been applied for inhomogeneous objects through a hybrid method. In this hybrid method, an additional boundary is applied to truncate the inhomogeneous object from the outer medium. The spectral integral method is used as a radiation boundary condition (RBC) for the exterior medium, while the finite element method (FEM) has been used for interior structure. To extend the spectral integral method into three-dimensional problems, we first review the spectral integral method based on spherical surface. The convergence and computational complexity are investigated using numerical experiments. Furthermore, a three-dimensional surface integral method based on cubic surface has been developed. Again, singularity subtraction is applied for the Green's functions. Due to the special properties of the surface, FFT algorithm is proposed to accelerate the solution of the integral equation. To apply the three-dimensional integral method to inhomogeneous problems, we develop a hybrid method, which combines the integral equation method and spectral element method. Both the spectral integral method and the hybrid method can be extended to layered media.

ISBN: 9780549068327Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Spectral integral method for electromagnetic wave scattering and its applications.
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020 $a 9780549068327
035 $a (UMI)AAI3267922
035 $a AAI3267922
040 $a UMI $c UMI
100 1 $a Liu, Jianguo. $3 1278864
245 1 0 $a Spectral integral method for electromagnetic wave scattering and its applications.
300 $a 148 p.
500 $a Adviser: Qing H. Liu.
500 $a Source: Dissertation Abstracts International, Volume: 68-06, Section: B, page: 4024.
502 $a Thesis (Ph.D.)--Duke University, 2007.
520 $a Due to the increasing requirements of simulating the electromagnetic wave scattering of large-scale and complex structures, high-order and spectral methods have become very attractive because of their accuracy and efficiency. A spectral integral method, which is based on the surface integral equation, has been developed to solve the scattering problems of arbitrarily-shaped smooth targets in free space. In this method, the truncated Fourier series are introduced as basis functions, and the fast Fourier transform (FFT) algorithm has been used in calculating the impedance matrix. Also, the singularities in Green's functions have been specially treated using a method of singularity subtraction, which achieves a spectral accuracy in the integral. Furthermore, this spectral integral method has also been applied for inhomogeneous objects through a hybrid method. In this hybrid method, an additional boundary is applied to truncate the inhomogeneous object from the outer medium. The spectral integral method is used as a radiation boundary condition (RBC) for the exterior medium, while the finite element method (FEM) has been used for interior structure. To extend the spectral integral method into three-dimensional problems, we first review the spectral integral method based on spherical surface. The convergence and computational complexity are investigated using numerical experiments. Furthermore, a three-dimensional surface integral method based on cubic surface has been developed. Again, singularity subtraction is applied for the Green's functions. Due to the special properties of the surface, FFT algorithm is proposed to accelerate the solution of the integral equation. To apply the three-dimensional integral method to inhomogeneous problems, we develop a hybrid method, which combines the integral equation method and spectral element method. Both the spectral integral method and the hybrid method can be extended to layered media.
590 $a School code: 0066.
650 4 $a Engineering, Electronics and Electrical. $3 626636
690 $a 0544
710 2 $a Duke University. $3 569686
773 0 $t Dissertation Abstracts International $g 68-06B.
790 $a 0066
790 1 0 $a Liu, Qing H., $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3267922