Computational Methods for Electromagnetics

Computational Methods for Electromagnetics is an indispensable resource for making efficient and accurate formulations for electromagnetics applications and their numerical treatment. Employing a unified coherent approach that is unmatched in the field, the authors detail both integral and differential equations using the method of moments and finite-element procedures. In addition, readers will gain a thorough understanding of numerical solution procedures.

Topics covered include:

• Two- and three-dimensional integral equation/method-of-moments formulations
• Open-region finite-element formulations based on the scalar and vector Helmholtz equations
• Finite difference time-domain methods
• Direct and iterative algorithms for the solutions of linear systems
• Error analysis and the convergence behavior of numerical results
• Radiation boundary conditions
• Acceleration methods for periodic Green's functions
• Vector finite elements

Detail is provided to enable the reader to implement concepts in software and, in addition, a collection of related computer programs are available via the Internet. Computational Methods for Electromagnetics is designed for graduate-level classroom use or self-study, and every chapter includes problems. It will also be of particular interest to engineers working in the aerospace, defense, telecommunications, wireless, electromagnetic compatibility, and electronic packaging industries. Preface.

Acknowledgments.

Electromagnetic Theory.

Integral Equation Methods for Scattering from Infinite Cylinders.

Differential Equation Methods for Scattering from Infinite Cylinders.

Algorithms for the Solution of Linear Systems of Equations.

The Discretization Process.

Basis/Testing Functions and Convergence.

Alternative Surface Integral Equation Formulations.

Strip Gratings and Other Two-Dimensional Structures with One-Dimensional Periodicity.

Three-Dimensional problems with Translational or Rotational Symmetry.

Subsectional Basis Functions for MultiDimensional and Vector Problems.

Integral Equation Methods for Three-Dimensional Bodies.

Frequency-Domain Differential Equation Formulations for Open Three-Dimensional Problems.

Finite-Difference Time-Domain Methods on Orthogonal Meshes.

Appendix A: Quadrature.

Appendix B: Source-Field Relationships for Cylinders Illuminated by an Obliquely Incident Field.

Appendix C: Fortran Codes for TM Scattering From Perfect Electric Conducting Cylinders.

Appendix D: Additional Software Available Via the Internet.

Index.

About the Authors. About the Authors...
Andrew F. Peterson is associate professor at the School of Electrical and Computer Engineering at Georgia Institute of Technology. His research interests center on the development of both integral and differential equation based numerical methods for electromagnetic applications.
Scott L. Ray is a research scientist at Dow AgroSciences, where he also serves as technical leader for the Applied Statistics Group. He previously contributed to time-domain computational electromagnetics at the Lawrence Livermore National Laboratory and was involved in the development of TSAR, a general-purpose FDTD modeling system.
Raj Mittra is professor in the Electrical Engineering Department and a senior research scientist at the Applied Research Laboratory of Pennsylvania State University. He has also published over 450 journal papers and 25 books or book chapters on various topics related to electromagnetics, antennas, microwaves, and electronic packaging. Electrical Engineering Computational Methods for Electromagnetics A volume in the IEEE/OUP Series on Electromagnetic Wave Theory Donald G. Dudley, Series Editor Computational Methods for Electromagnetics is an indispensable resource for making efficient and accurate formulations for electromagnetics applications and their numerical treatment. Employing a unified and coherent approach that is unmatched in the field, the authors detail both integral and differential equations using the method of moments and finite-element procedures. In addition, readers will gain a thorough understanding of numerical solution procedures. Topics covered include:

• Two- and three-dimensional integral equation/method-of-moments formulations
• Open-region finite-element formulations based on the scalar and vector Helmholtz equations
• Finite difference time-domain methods
• Direct and iterative algorithms for the solution of linear systems
• Error analysis and the convergence behavior of numerical results
• Radiation boundary conditions
• Acceleration methods for periodic Green’s functions
• Vector finite elements

Detail is provided to enable the reader to implement concepts in software and, in addition, a collection of related computer programs are available via the Internet. Computational Methods for Electromagnetics is designed for graduate-level classroom use or self-study, and every chapter includes problems. It will also be of particular interest to engineers working in the aerospace, defense, telecommunications, wireless, electromagnetic compatibility, and electronic packaging industries. About the IEEE/OUP Series on Electromagnetic Wave Theory Formerly the IEEE Press Series on Electromagnetic Waves, this joint series between IEEE Press and Oxford University Press offers outstanding coverage of the field, with new titles as well as reprintings and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level.