Electromagnetic Radiation, Scattering, and Diffraction
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Electromagnetic Radiation, Scattering, and Diffraction
About this book
Electromagnetic Radiation, Scattering, and Diffraction
Discover a graduate-level text for students specializing in electromagnetic wave radiation, scattering, and diffraction for engineering applications
In Electromagnetic Radiation, Scattering and Diffraction, distinguished authors Drs. Prabhakar H. Pathak and Robert J. Burkholder deliver a thorough exploration of the behavior of electromagnetic fields in radiation, scattering, and guided wave environments. The book tackles its subject from first principles and includes coverage of low and high frequencies. It stresses physical interpretations of the electromagnetic wave phenomena along with their underlying mathematics.
The authors emphasize fundamental principles and provide numerous examples to illustrate the concepts contained within. Students with a limited undergraduate electromagnetic background will rapidly and systematically advance their understanding of electromagnetic wave theory until they can complete useful and important graduate-level work on electromagnetic wave problems.
Electromagnetic Radiation, Scattering and Diffraction also serves as a practical companion for students trying to simulate problems with commercial EM software and trying to better interpret their results. Readers will also benefit from the breadth and depth of topics, such as:
- Basic equations governing all electromagnetic (EM) phenomena at macroscopic scales are presented systematically. Stationary and relativistic moving boundary conditions are developed. Waves in planar multilayered isotropic and anisotropic media are analyzed.
- EM theorems are introduced and applied to a variety of useful antenna problems. Modal techniques are presented for analyzing guided wave and periodic structures. Potential theory and Green's function methods are developed to treat interior and exterior EM problems.
- Asymptotic High Frequency methods are developed for evaluating radiation Integrals to extract ray fields. Edge and surface diffracted ray fields, as well as surface, leaky and lateral wave fields are obtained. A collective ray analysis for finite conformal antenna phased arrays is developed.
- EM beams are introduced and provide useful basis functions. Integral equations and their numerical solutions via the method of moments are developed. The fast multipole method is presented. Low frequency breakdown is studied. Characteristic modes are discussed.
Perfect for graduate students studying electromagnetic theory, Electromagnetic Radiation, Scattering, and Diffraction is an invaluable resource for professional electromagnetic engineers and researchers working in this area.
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Information
Table of contents
- Cover
- Title Page
- Copyright
- Contents
- About the Authors
- Preface
- Acknowledgments
- 1 Maxwell's Equations, Constitutive Relations, Wave Equation, and Polarization
- 2 EM Boundary and Radiation Conditions
- 3 Plane Wave Propagation in Planar Layered Media
- 4 Plane Wave Spectral Representation for EM Fields
- 5 Electromagnetic Potentials and Fields of Sources in Unbounded Regions
- 6 Electromagnetic Field Theorems and Related Topics
- 7 Modal Techniques for the Analysis of Guided Waves, Resonant Cavities, and Periodic Structures
- 8 Green's Functions for the Analysis of One-Dimensional Source-Excited Wave Problems
- 9 Applications of One-Dimensional Green's Function Approach for the Analysis of Single and Coupled Set of EM Source Excited Transmission Lines
- 10 Green's Functions for the Analysis of Two- and Three-Dimensional Source-Excited Scalar and EM Vector Wave Problems
- 11 Method of Factorization and the Wiener{Hopf Technique for Analyzing Two-Part EM Wave Problems
- 12 Integral Equation-Based Methods for the Numerical Solution of Nonseparable EM Radiation and Scattering Problems
- 13 Introduction to Characteristic Modes
- 14 Asymptotic Evaluation of Radiation and Di raction Type Integrals for High Frequencies
- 15 Physical and Geometrical Optics
- 16 Geometrical and Integral Theories of Diraction
- 17 Development of Asymptotic High-Frequency Solutions to Some Canonical Problems
- 18 EM Beams and Some Applications
- A Coordinate Systems, Vectors, and Dyadics
- B The Total Time Derivative of a Time Varying Flux Density Integrated Over a Moving Surface
- C The Delta Function
- D Transverse Fields in Terms of Axial Field Components for TMz and TEz Waves Guided Along z
- E Two Di erent Representations for Partial Poisson Sum Formulas and Their Equivalence
- F Derivation of 1-D Green's Second Identity
- G Green's Second Identity for 3-D Scalar, Vector, and Vector-Dyadic Wave Fields
- H Formal Decomposition and Factorization Formulas
- I On the Transition Function F(+ka)
- J On the Branch Cuts Commonly Encountered in the Evaluation of Spectral Wave Integrals
- K On the Steepest Descent Path (SDP) for Spectral Wave Integrals
- L Parameters Used in the Uniform GO Solution for the Lit and Shadow Sides of a Smooth Caustic
- M Asymptotic Approximations of Hankel Functions for Large Argument and Various Orders
- Index
- Series Page
- EULA