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Library of Congress Cataloging‑in‑Publication Data
Gibson, Walton C.
The method of moments in electromagnetics / Walton C. Gibson.
p. cm.
Includes bibliographical references and index.
ISBN 978‑1‑4200‑6145‑1 (alk. paper)
1. Electromagnetism‑‑Data processing. 2. Electromagnetic
fields‑‑Mathematical models. 3. Moments method (Statistics) 4. Electromagnetic
theory‑‑Data processing. 5. Integral equations‑‑Numerical solutions. I. Title.
QC665.E4.G43 2008
530.14’1015118‑‑dc22 2007037311
Visit the Taylor & Francis Web site at
http://www.taylorandfrancis.com
and the CRC Press Web site at
http://www.crcpress.com
Chapter 2 A Brief Review of Electromagnetics 5
2.1 Maxwell’s Equations 5
2.2 Electromagnetic Boundary Conditions 6
2.3 Formulations for Radiation 6
2.3.1 Three-Dimensional Green’s Function 8
2.3.2 Two-Dimensional Green’s Function 9
2.4 Vector Potentials 10
2.4.1 Magnetic Vector Potential 11
2.4.2 Electric Vector Potential 12
2.4.3 Comparison of Radiation Formulas 13
2.5 Near and Far Fields 14
2.5.1 Near Field 15
2.5.2 Far Field 16
2.6 Equivalent Problems 18
2.6.1 Surface Equivalent 18
2.6.2 Physical Equivalent 20
2.7 Surface Integral Equations 25
2.7.1 Electric Field Integral Equation 25
2.7.2 Magnetic Field Integral Equation 26
2.7.3 Combined Field Integral Equation 28
iii
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