Electromagnetic Radiation, Scattering, and Diffraction

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.

List of contents

About the Authors xix
 
Preface xxi
 
Acknowledgments xxv
 
1 Maxwell's Equations, Constitutive Relations, Wave Equation and Polarization 1
 
1.1 Introductory Comments 1
 
1.2 Maxwell's Equations 5
 
1.3 Constitutive Relations 10
 
1.4 Frequency Domain Fields 15
 
1.5 Kramers-Kronig Relationship 19
 
1.6 Vector and Scalar Wave Equations 21
 
1.6.1 Vector Wave Equations for EM Fields 21
 
1.6.2 Scalar Wave Equations for EM Fields 22
 
1.7 Separable Solutions of the Source Free Wave Equation in Rectangular Coordinates and for Isotropic Homogeneous Media. Plane Waves 23
 
1.8 Polarization of Plane Waves, Poincare Sphere and Stokes Parameters 29
 
1.8.1 Polarization States 29
 
1.8.2 General Elliptical Polarization 32
 
1.8.3 Decomposition of a Polarization State into Circularly Polarized Components 36
 
1.8.4 Poincare Sphere for Describing Polarization States 37
 
1.9 Phase and Group Velocity 40
 
1.10 Separable Solutions of the Source Free Wave Equation in Cylindrical and Spherical Coordinates and for Isotropic Homogeneous Media 44
 
1.10.1 Source Free Cylindrical Wave Solutions 44
 
1.10.2 Source Free Spherical Wave Solutions 48
 
References 51
 
2 EM Boundary and Radiation Conditions 52
 
2.1 EM Field Behavior Across a Boundary Surface 52
 
2.2 Radiation Boundary Condition 60
 
2.3 Boundary Conditions at a Moving Interface 63
 
2.3.1 Non-Relativistic Moving Boundary Conditions 63
 
2.3.2 Derivation of the Non-Relativistic Field Transformations 66
 
2.3.3 EM Field Transformations Based on the Special Theory of Relativity 69
 
2.4 Constitutive Relations for a Moving Medium 84
 
References 85
 
3 Plane Wave Propagation in Planar Layered Media 87
 
3.1 Introduction 87
 
3.2 Plane Wave Reflection from a Planar Boundary Between Two Different Media 87
 
3.2.1 Perpendicular Polarization Case 88
 
3.2.2 Parallel Polarization Case 93
 
3.2.3 Brewster Angle _b 97
 
3.2.4 Critical Angle _c 100
 
3.2.5 Plane Wave Incident on a Lossy Half Space 104
 
3.2.6 Doppler Shift for Wave Reflection from a Moving Mirror 110
 
3.3 Reflection and Transmission of a Plane Wave Incident on a Planar Stratified Isotropic Medium Using a Transmission Matrix Approach 112
 
3.4 Plane Waves in Anisotropic Homogeneous Media 119
 
3.5 State Space Formulation for Waves in Planar Anisotropic Layered Meia 135
 
3.5.1 Development of State Space Based Field Equations 135
 
3.5.2 Reflection and Transmission of Plane Waves at the Interface Between Two Anisotropic Half Spaces 139
 
3.5.3 Transmission Type Matrix Analysis of Plane Waves in Multilayered Anisotropic Media 142
 
References 143
 
4 Plane Wave Spectral Representation for EM Fields 144
 
4.1 Introduction 144
 
4.2 PWS Development 144
 
References 155
 
5 Electromagnetic Potentials and Fields of Sources in Unbounded Regions 156
 
5.1 Introduction to Vector and Scalar Potentials 156
 
5.2 Construction of the Solution for A 160
 
5.3 Calculation of Fields from Potentials 165
 
5.4 Time Dependent Potentials for Sources and Fields in Unbounded Regions 176
 
5.5 Potentials and Fields of a Moving Point Charge 185
 
5.6 Cerenkov Radiation 192
 
5.7 Direct Calculation of Fields of Sources in Unbounded Regions Using a Dyadic Green's Function 195
 
5.7.1 Fields of Sources in Unbounded, Isotropic, Homogeneous Media in Terms of a Closed Form Representation of Green's Dyadic, G0

About the author

PRABHAKAR H. PATHAK, PhD, is Professor Emeritus at Ohio State University in the Department of Electrical and Computer Engineering, and the ElectroScience Lab. He is regarded as a co-developer of the Uniform Geometrical Theory of Diffraction (UTD). His research interests are in theoretical EM, and more recently in the development of ray, beam and hybrid methods for analyzing the EM fields of large conformal arrays and small antennas on large complex platforms (e.g., aircraft/spacecraft, etc.).
ROBERT J. BURKHOLDER, PhD, is a Research Professor Emeritus at Ohio State University in the Department of Electrical and Computer Engineering, and the ElectroScience Lab. He has over 30 years of experience in theoretical and numerical modeling methods for realistic EM radiation, propagation, and scattering applications.

Summary

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.

Product details

• Authors: Robert J Burkholder, Robert J. Burkholder, Ph Pathak, Prabhakar Pathak, Prabhakar H Pathak, Prabhakar H Burkholder Pathak, Prabhakar H. Pathak, Prabhakar H. Burkholder Pathak
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 04.01.2022
• EAN: 9781119810513
• ISBN: 978-1-119-81051-3
• No. of pages: 1152
• Series: IEEE Press Series on Electromagnetic Wave Theory; IEEE/OUP Series on Electromagnetic Wave Theory (formerly IEEE only), Series Editor: Donald G. Dudley.; IEEE Press Electromagnetic Wav
• Subjects: Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering; Elektromagnetismus, elektromagnetische Welle, elektromagnetische strahlung, elektromagnetische Verträglichkeit, Electrical & Electronics Engineering, Elektrotechnik u. Elektronik, Electromagnetic Theory, Electromagnetic Compatibility