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High Order On-Surface Radiation Boun...

Al Weshah, Adel.

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High Order On-Surface Radiation Boundary Conditions in Electromagnetics.

Record Type:	Electronic resources : Monograph/item
Title/Author:	High Order On-Surface Radiation Boundary Conditions in Electromagnetics./
Author:	Al Weshah, Adel.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	125 p.
Notes:	Source: Dissertation Abstracts International, Volume: 79-08(E), Section: B.
Contained By:	Dissertation Abstracts International79-08B(E).
Subject:	Electrical engineering. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10801689
ISBN:	9780355793567

High Order On-Surface Radiation Boundary Conditions in Electromagnetics.
Al Weshah, Adel.

High Order On-Surface Radiation Boundary Conditions in Electromagnetics. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 125 p.

Source: Dissertation Abstracts International, Volume: 79-08(E), Section: B.

Thesis (Ph.D.)--The University of Akron, 2017.

This dissertation presents procedures for implementing high order boundary conditions in time and frequency domains for solving exterior problems governed by the Helmholtz equation and the wave equation exterior to a perfectly conducting scatterer. Solving problems governed by two and three-dimensional wave equations in exterior domains is a complex task. There are techniques to reduce the computational complexities; one technique is On-Surface Radiation Boundary Conditions (OSRBC). There has been a recent interest in revisiting this technique for two and three-dimensional problems [1]. In this research, we explore the implementation of a new high order OSRBC based on the high order local boundary conditions introduced in [2] for two and three dimensions to solve the wave equation in exterior domains.

ISBN: 9780355793567Subjects--Topical Terms:

649834
Electrical engineering.

High Order On-Surface Radiation Boundary Conditions in Electromagnetics.
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100 1 $a Al Weshah, Adel. $3 3427801
245 1 0 $a High Order On-Surface Radiation Boundary Conditions in Electromagnetics.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2017
300 $a 125 p.
500 $a Source: Dissertation Abstracts International, Volume: 79-08(E), Section: B.
500 $a Adviser: Subramaniya I. Hariharan.
502 $a Thesis (Ph.D.)--The University of Akron, 2017.
520 $a This dissertation presents procedures for implementing high order boundary conditions in time and frequency domains for solving exterior problems governed by the Helmholtz equation and the wave equation exterior to a perfectly conducting scatterer. Solving problems governed by two and three-dimensional wave equations in exterior domains is a complex task. There are techniques to reduce the computational complexities; one technique is On-Surface Radiation Boundary Conditions (OSRBC). There has been a recent interest in revisiting this technique for two and three-dimensional problems [1]. In this research, we explore the implementation of a new high order OSRBC based on the high order local boundary conditions introduced in [2] for two and three dimensions to solve the wave equation in exterior domains.
520 $a As will be seen later, the OSRBC implementations require normal derivatives of the scattered field on the surface of the scatterer. For the two-dimensional case, we develop a Fourier spectral method based on discrete Fourier transform to find the normal derivative of the electromagnetic field on the surface of the scatterer. The method involves transforming the high order time dependent local boundary conditions to frequency-domain and implementing it on the surface of the scatterer. The normal derivative of the scattered field is needed for applications such as the calculation of the radar cross-section and the surface current. We consider the two-dimensional problem for a perfectly conducting scatterer with arbitrary cross section. The numerical implementations and their performances for a wide range of frequencies are demonstrated and compared to the frequency-domain integral equation for the scattered field. The advantage of the new method is that the On- Surface Radiation Boundary Conditions (OSRBCs) is applicable to a wide range of frequencies. A series of numerical tests demonstrate the accuracy and efficiency of these conditions to a wide range of frequencies. Both the exact solutions, as well as the high order local boundary conditions solutions, are compared.
520 $a For the two and three-dimensional time dependent wave equations cases, we simulate exact solutions in a large exterior domain because explicit solutions are not available. The implementation involves a new novel approach based on bilinear transformation, which simplified the implementation process and lead to higher accuracy compared to the different types of finite difference schemes used to approximate the first and second order partial derivative in the new high order OSRBC and the auxiliary functions that define the high order boundary conditions. A series of numerical tests demonstrate the accuracy and efficiency of the new high order OSRBC for two and three-dimensional problems. Both the long domain solutions, as well as the OSRBC solutions, are compared.
590 $a School code: 0003.
650 4 $a Electrical engineering. $3 649834
650 4 $a Electromagnetics. $3 3173223
690 $a 0544
690 $a 0607
710 2 $a The University of Akron. $b Electrical Engineering. $3 3427802
773 0 $t Dissertation Abstracts International $g 79-08B(E).
790 $a 0003
791 $a Ph.D.
792 $a 2017
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10801689