Multiresolution Frequency Domain Technique for Electromagnetics

Multiresolution Frequency Domain Technique for Electromagnetics

Mesut G, Atef Elsherbeni, Ercument Arvas
ISBN: 9781627050159 | PDF ISBN: 9781627050166
Copyright © 2012 | 134 Pages | Publication Date: 01/01/2012

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In this book, a general frequency domain numerical method similar to the finite difference frequency domain (FDFD) technique is presented. The proposed method, called the multiresolution frequency domain (MRFD) technique, is based on orthogonal Battle-Lemarie and biorthogonal Cohen-Daubechies-Feauveau (CDF) wavelets. The objective of developing this new technique is to achieve a frequency domain scheme which exhibits improved computational efficiency figures compared to the traditional FDFD method: reduced memory and simulation time requirements while retaining numerical accuracy.

The newly introduced MRFD scheme is successfully applied to the analysis of a number of electromagnetic problems, such as computation of resonance frequencies of one and three dimensional resonators, analysis of propagation characteristics of general guided wave structures, and electromagnetic scattering from two dimensional dielectric objects. The efficiency characteristics of MRFD techniques based on different wavelets are compared to each other and that of the FDFD method. Results indicate that the MRFD techniques provide substantial savings in terms of execution time and memory requirements, compared to the traditional FDFD method.

Table of Contents: Introduction / Basics of the Finite Difference Method and Multiresolution Analysis / Formulation of the Multiresolution Frequency Domain Schemes / Application of MRFD Formulation to Closed Space Structures / Application of MRFD Formulation to Open Space Structures / A Multiresolution Frequency Domain Formulation for Inhomogeneous Media / Conclusion

Table of Contents

Introduction
Basics of the Finite Difference Method and Multiresolution Analysis
Formulation of the Multiresolution Frequency Domain Schemes
Application of MRFD Formulation to Closed Space Structures
Application of MRFD Formulation to Open Space Structures
A Multiresolution Frequency Domain Formulation for Inhomogeneous Media
Conclusion

About the Author(s)

Mesut G, Turksat AS R&D and Satellite Design Department, Turkey

Atef Elsherbeni, The University of Mississippi

Ercument Arvas, Syracuse University

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