Theory and Computation of Electromagnetic Fields.

Intro -- Title Page -- Copyright -- Table of Contents -- Preface -- A Note about the second edition -- Acknowledgments -- Part I: Electromagnetic Field Theory -- Chapter 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 -- References -- Problems -- Chapter 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 -- References -- Problems -- Chapter 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 -- References -- Problems -- Chapter 4: Transmission Lines and Plane Waves -- 4.1 Transmission Line Theory -- 4.2 Wave Equations 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 -- References -- Problems -- Chapter 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 -- References -- Problems -- Chapter 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 -- References -- Problems -- Chapter 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 -- References -- Problems -- Part II: Electromagnetic Field Computation -- Chapter 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 -- References -- Problems -- Chapter 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 Discontinuous Galerkin Time-Domain Method -- 9.6 Absorbing Boundary Conditions -- 9.7 Some Numerical Aspects -- 9.8 Summary -- References -- Problems -- Chapter 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 -- References -- Problems -- Chapter 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 -- References -- Problems.

Chapter 12: Concluding Remarks on Computational Electromagnetics -- 12.1 Overview of Computational Electromagnetics -- 12.2 Applications of Computational Electromagnetics -- 12.3 Challenges in Computational Electromagnetics -- References -- Appendix A: Vector Identities, Integral Theorems, and Coordinate Transformation -- A.1 Vector Identities -- A.2 Integral Theorems -- A.3 Coordinate Transformation -- Appendix B: Bessel Functions -- B.1 Definition -- B.2 Series Expressions -- B.3 Integral Representation -- B.4 Asymptotic Expressions -- B.5 Recurrence and Derivative Relations -- B.6 Symmetry Relations -- B.7 Wronskian Relation -- B.8 Useful Integrals -- Appendix C: Modified Bessel Functions -- C.1 Definition -- C.2 Series Expressions -- C.3 Integral Representations -- C.4 Asymptotic Expressions -- C.5 Recurrence and Derivative Relations -- C.6 Symmetry Relations -- C.7 Wronskian Relation -- C.8 Useful Integrals -- Appendix D: Spherical Bessel Functions -- D.1 Definition -- D.2 Series Expressions -- D.3 Asymptotic Expressions -- D.4 Recurrence and Derivative Relations -- D.5 Symmetry Relations -- D.6 Wronskian Relation -- D.7 Riccati-Bessel Functions -- D.8 Modified Spherical Bessel Functions -- Appendix E: Associated Legendre Polynomials -- E.1 Definition -- E.2 Series Expression -- E.3 Special Values -- E.4 Symmetry Relations -- E.5 Recurrence and Derivative Relations -- E.6 Orthogonal Relations -- E.7 Fourier-Legendre Series -- Index -- End User License Agreement.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.