Modern Electromagnetic Scattering Theory with Applications E-Book

Andrey V. Osipov

• Herausgeber: John Wiley & Sons
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch

Seitenzahl: 1687

Veröffentlichungsjahr: 2017

Beschreibung

This self-contained book gives fundamental knowledge about scattering and diffraction of electromagnetic waves and fills the gap between general electromagnetic theory courses and collections of engineering formulas. The book is a tutorial for advanced students learning the mathematics and physics of electromagnetic scattering and curious to know how engineering concepts and techniques relate to the foundations of electromagnetics

Leseprobe

MODERNELECTROMAGNETICSCATTERING THEORYWITH APPLICATIONS

Andrey V. Osipov

Microwaves and Radar Institute German Aerospace Center (DLR) Germany

Sergei A. Tretyakov

School of Electrical Engineering Aalto University Finland

This edition first published 2017 © 2017 John Wiley & Sons Ltd

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Library of Congress Cataloging-in-Publication Data

Names: Osipov, Andrey (Andrey V.) | Tretyakov, Sergei. Title: Modern electromagnetic scattering theory with applications / Andrey Osipov, Sergei Tretyakov. Description: Chichester, West Sussex : John Wiley & Sons, Inc., 2017. |    Includes bibliographical references and index. Identifiers: LCCN 2016028695 | ISBN 9780470512388 (cloth) | ISBN 9781119293293 (epub) Subjects: LCSH: Electromagnetic waves--Scattering. | Electromagnetic fields. | Radar cross sections. Classification: LCC QC665.S3 .O85 2017 | DDC 539.2--dc23 LC record available at https://lccn.loc.gov/2016028695

A catalogue record for this book is available from the British Library.

Cover image: Art Phaneuf Photography/Shutterstock

Table of Contents

Preface

Acknowledgements

List of Abbreviations

1 Introduction

1.1 Scattering and Diffraction Theory

1.2 Books on Related Subjects

1.3 Concept and Outline of the Book

References

2 Fundamentals of Electromagnetic Scattering

2.1 Introduction

2.2 Fundamental Equations and Conditions

2.3 Approximate Boundary Conditions

2.4 Fundamental Properties of Time-harmonic Electromagnetic Fields

2.5 Basic Solutions of Maxwell’s Equations in Homogeneous Isotropic Media

2.6 Electromagnetic Formulation of Huygens’ Principle

2.7 Problems

References

Notes

3 Far-field Scattering

3.1 Introduction

3.2 Scattering Cross Section

3.3 Scattering Matrix

3.4 Far-field Coefficient

3.5 Scattering Regimes

3.6 Electrically Small Scatterers

3.7 Problems

Notes

References

4 Planar Interfaces

4.1 Introduction

4.2 Interface of Two Homogeneous Semi-infinite Media

4.3 Arbitrary Number of Planar Layers

4.4 Reflection and Transmission of Cylindrical and Spherical Waves

4.5 A Layer between Homogeneous Half-spaces

4.6 Modeling with Approximate Boundary Conditions

Problems

Notes

References

5 Wedges

5.1 Introduction

5.2 The Perfectly Conducting Wedge

5.3 Scattering from a Half-plane (Solution by Factorization Method)

5.4 The Impedance Wedge

5.5 High-frequency Scattering from Impenetrable Wedges

5.6 Behavior of Electromagnetic Fields at Edges

Problems

References

Notes

6 Circular Cylinders and Convex Bodies

6.1 Introduction

6.2 Perfectly Conducting Cylinders: Separation of Variables and Series Solution

6.3 Homogeneous Cylinders under Normal Illumination

6.4 Watson’s Transformation and High-frequency Approximations

6.5 Coated and Impedance Cylinders under Oblique Illumination

6.6 Extension to Generally Shaped Convex Impedance Bodies

6.7 Problems

Notes

References

7 Spheres

7.1 Introduction

7.2 Exact Solution for a Multilayered Sphere

7.3 Physics of Scattering from Spheres

7.4 Scattered Field in the Far Zone

7.5 Far-field Scattering from Homogeneous Spheres

7.6 Metamaterial Effects in Scattering from Spheres

7.7 Problems

Notes

References

8 Method of Physical Optics

8.1 Introduction

8.2 Principles and General Solution

8.3 Transmission through Apertures

8.4 Scattering from Curved Surfaces

8.5 Advantages and Limitations of Physical Optics

8.6 Problems

Notes

References

9 Physical Optics Solutions of Canonical Problems

9.1 Introduction

9.2 Vertices

9.3 Electrically Large Plates

9.4 Bodies of Revolution

9.5 Problems

Notes

References

A Definitions and Useful Relations of Vector Analysis and Differential Geometry

A.1 Vector Algebra

A.2 Vector Analysis

A.3 Vectors and Vector Differential Operators in Orthogonal Curvilinear Coordinates

A.4 Curves and Surfaces in Space

A.5 Problems

References

Note

B Fresnel Integral and Related Functions

B.1 Fresnel Integral

B.2 Relation to the Error Function

B.3 Transition Functions of Uniform Theories of Diffraction

B.4 Problems

References

C Principles of Complex Integration

C.1 Introduction

C.2 Deforming the Integration Contour

C.3 Steepest Descent Method

C.4 Problems

References

Notes

D The Stationary Phase Method

D.1 Introduction

D.2 One-dimensional Integrals

D.3 Two-dimensional Integrals

D.4 Problems

References

Notes

E Asymptotic Approximations of Bessel Functions of Large Argument and Arbitrary Order

E.1 Introduction

E.2 Debye’s Asymptotic Approximations

E.3 Almost Equal Argument and Order

References

Notes

Index

EULA

List of Tables

Chapter 2

Table 2.1

Table 2.2

Table 2.3

Table 2.4

Table 2.5

Chapter 3

Table 3.1

Table 3.2

Table 3.3

Chapter 6

Table 6.1

Table 6.2

Table 6.3

Table 6.4

Chapter 7

Table 7.1

Table 7.2

Table 7.3

Table 7.4

Table 7.5

Table 7.6

Appendix E

Table E.1

Table E.2