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Theory and Computation of Electromagnetic Fields / Edition 1

Theory and Computation of Electromagnetic Fields / Edition 1

by Jian-Ming Jin


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A unique textbook for both entry- and advanced-level graduate coursework

Theory and Computation of Electromagnetic Fields doubles as a textbook for both an entry-level graduate course on electromagnetics and an advanced-level graduate course on computational electromagnetics. It presents the fundamental concepts in a systematic manner so that students can advance from the first course to the second with little difficulty.

The book consists of two parts. Part I covers the standard basic electromagnetic theory in a different manner than most texts; the contents cover both fundamental theories (such as vector analysis, Maxwell's equations and boundary conditions, and transmission line theory) and advanced topics (such as wave transformation, addition theorems, and fields in layered media) in order to benefit students at all levels. Part II covers major computational methods for numerical analysis of electromagnetic fields for engineering applications. These methods include the finite difference method (and the finite difference time-domain method in particular), the finite element method, and the integral-equation-based moment method.

Additional benefits of Theory and Computation of Electromagnetic Fields include:

  • Maxwell's equations as the starting point for the treatment of every subject
  • Added coverage of fast algorithms for solving integral equations and hybrid techniques for combining different numerical methods to seek more efficient solutions to complicated electromagnetic problems
  • Material designed for classroom teaching and self-learning in two semesters, and tested over fifteen years at the University of Illinois
  • Homework problems in every chapter to test and reinforce understanding of course material
  • Accompanying Instructor's Guide

Theory and Computation of Electromagnetic Fields serves as a textbook for entry- and advanced-level graduate electrical engineering students. It is also an ideal reference for professional engineers who wish to brush up on their analysis and computation skills.

Product Details

ISBN-13: 9780470533598
Publisher: Wiley
Publication date: 11/30/2010
Edition description: Older Edition
Pages: 616
Product dimensions: 7.00(w) x 10.10(h) x 1.50(d)

About the Author

Jian-ming jin, PhD, is Y. T. Lo Chair Professor in Electrical and Computer Engineering and Director of the Electromagnetics Laboratory and Center for Computational Electromagnetics at the University of Illinois at Urbana-Champaign. He authored The Finite Element Method in Electromagnetics (Wiley) and Electromagnetic Analysis and Design in Magnetic Resonance Imaging; coauthored Computation of Special Functions (Wiley) and Finite Element Analysis of Antennas and Arrays (Wiley); and coedited Fast and Efficient Algorithms in Computational Electromagnetics. A Fellow of IEEE, he is listed by ISI as among the world's most cited authors.

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Table of Contents



1. Basic Electromagnetic Theory.

1.1 Review of Vector Analysis.

1.2 Maxwell’s Equations in Terms of Total Charges and Currents.

1.3 Constitutive Relations.

1.4 Maxwell’s Equations in Terms of Free Charges and Currents.

1.5 Boundary Conditions.

1.6 Energy, Power, and Poynting’s Theorem.

1.7 Time-Harmonic Fields and Complex Power.



2. Electromagnetic Radiation in Free Space.

2.1 Scalar and Vector Potentials.

2.2 Solution of Vector Potentials in Free Space.

2.3 Electromagnetic Radiation in Free Space.

2.4 Radiation by Surface Currents and Phased Arrays.



3. Electromagnetic Theorems and Principles.

3.1 Uniqueness Theorem.

3.2 Image Theory.

3.3 Reciprocity Theorems.

3.4 Equivalence Principles.

3.5 Duality Principle.

3.6 Aperture Radiation and Scattering.



4. Transmission Lines and Plane Waves.

4.1 Transmission Line Theory.

4.2 Wave Equation and General Solutions.

4.3 Plane Waves Generated by a Current Sheet.

4.4 Reflection and Transmission.

4.5 Plane Waves in Anisotropic and Bi-Isotropic Media.



5. Fields and Waves in Rectangular Coordinates.

5.1 Uniform Waveguides.

5.2 Uniform Cavities.

5.3 Partially Filled Waveguides and Dielectric Slab Waveguides.

5.4 Field Excitation in Waveguides.

5.5 Fields in Planar Layered Media.



6. Fields and Waves in Cylindrical Coordinates.

6.1 Solution of Wave Equation.

6.2 Circular and Coaxial Waveguides and Cavities.

6.3 Circular Dielectric Waveguide.

6.4 Wave Transformation and Scattering Analysis.

6.5 Radiation by Infinitely Long Currents.



7. Fields and Waves in Spherical Coordinates.

7.1 Solution of Wave Equation.

7.2 Spherical Cavity.

7.3 Biconical Antenna.

7.4 Wave Transformation and Scattering Analysis.

7.5 Addition Theorem and Radiation Analysis.




8. The Finite Difference Method.

8.1 Finite Differencing Formulas.

8.2 One-Dimensional Analysis.

8.3 Two-Dimensional Analysis.

8.4 Yee’s FDTD Scheme.

8.5 Absorbing Boundary Conditions.

8.6 Modeling of Dispersive Media.

8.7 Wave Excitation and Far-Field Calculation.

8.8 Summary.



9. The Finite Element Method.

9.1 Introduction to the Finite Element Method.

9.2 Finite Element Analysis of Scalar Fields.

9.3 Finite Element Analysis of Vector Fields.

9.4 Finite Element Analysis in the Time Domain.

9.5 Absorbing Boundary Conditions.

9.6 Some Numerical Aspects.

9.7 Summary.



10. The Method of Moments.

10.1 Introduction to the Method of Moments.

10.2 Two-Dimensional Analysis.

10.3 Three-Dimensional Analysis.

10.4 Analysis of Periodic Structures.

10.5 Analysis of Microstrip Antennas and Circuits.

10.6 The Moment Method in the Time Domain.

10.7 Summary.



11. Fast Algorithms and Hybrid Techniques.

11.1 Introduction to Fast Algorithms.

11.2 Conjugate Gradient-FFT Method.

11.3 Adaptive Integral Method.

11.4 Fast Multipole Method.

11.5 Adaptive Cross Approximation Algorithm.

11.6 Introduction to Hybrid Techniques.

11.7 Hybrid Finite Difference-Finite Element Method.

11.8 Hybrid Finite Element-Boundary Integral Method.

11.9 Summary.



12. Concluding Remarks on Computational Electromagnetics.

12.1 Overview of Computational Electromagnetics.

12.2 Applications of Computational Electromagnetics.

12.3 Challenges in Computational Electromagnetics.



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