Engineering electrodynamics : a collection of theorems, principles and field representations / Ramakrishna Janaswamy.

Format:

Book

Author/Creator:

Janaswamy, Ramakrishna, 1958- author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP ebooks. 2020 collection.

IOP ebooks. [2020 collection]

Language:

English

Subjects (All):

Electrodynamics.

Electrodynamics--Mathematics.

Electromagnetism--Mathematics.

Electromagnetism.

Engineering--Mathematical models.

Engineering.

Physical Description:

1 online resource (various pagings) : illustrations (some color).

Place of Publication:

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2020]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

text file

Biography/History:

Ramakrishna Janaswamy is a Professor in the Department of Electrical and Computer Engineering, University of Massachusetts, USA. His professional interests include the topics of analytical and computational electromagnetics, deterministic and stochastic radiowave propagation, antenna theory and design, system theory, mathematical physics, and wireless communications. He is a Fellow of IEEE and author of the book Radiowave Propagation and Smart Antennas for Wireless Communications, Kluwer, 2000.

Summary:

Engineering Electrodynamics: A collection of theorems, principles, and field representations deals with key theorems and principles that form the pillars on which engineering electromagnetics rests. In contrast to previous books, the emphasis here is on the underlying mathematical theme that binds these specific geometries. The relevant background material for the understanding of the various theorems is included in the book. After the theorems and principles are expounded, detailed examples are worked out, which further shed light on the those involved. This book also includes comprehensive material on some recent developments such as transformational electromagnetics. Detailed account on relevant complex variable theory, Bessel functions, and associated Legendre functions in the appendices make this book self-contained and suitable for graduate and advanced study.

Contents:

1. Maxwell's equations, potentials, and boundary conditions

1.1. The time-domain Maxwell's equations

1.2. Frequency domain Maxwell's equations

1.3. Field determination by radial components

2. Electrostatics and magnetostatics

2.1. Energy related theorems in electrostatics

2.2. Principle of virtual displacement for static fields

2.3. Theorems related to harmonic functions

3. Gauge invariance for electromagnetic fields

3.1. Gauge invariance for general material media

3.2. Gauge invariance in homogenized media

4. Causality and dispersion

4.1. Causal systems

4.2. Dispersive systems

4.3. Causal properties of scattering amplitude

5. Uniqueness, energy, and momentum

5.1. Uniqueness theorem

5.2. Energy and momentum

6. Duality principle and Babinet's principle

6.1. Duality principle and Babinet's principle

7. Electromagnetic reciprocity

7.1. Reciprocity theorems in the frequency and time domains

7.2. Compensation theorem

8. Reactance theorems

8.1. Reactance theorems for networks and antennas

9. Geometrical optics and Fermat's principle

9.1. Geometrical optics and Fermat's principle

9.2. Gradient metasurfaces and the generalized Snell's law

10. Integral field representations

10.1. Integral representation of fields

10.2. Integral equations, physical optics, and Bojarski's identity

11. Induction theorem and optical theorem

11.1. Induction and forward scattering theorems

12. Eigenfunctions, Green's functions, and completeness

12.1. Hilbert space

12.2. Sturm-Liouville problem and Green's functions

12.3. Classification of operators and their properties

12.4. Sum of two commutative operators

13. Electromagnetic degrees of freedom

13.1. DoF between communicating volumes in free space

13.2. Antenna gain limitations due to finite DoF

14. Projection slice theorem and computed tomography

14.1. Radon transform and projection slice theorem

14.2. Computed tomography

15. Free-space Green's function and its application in various coordinates

15.1. Various forms of the free-space Green's function

15.2. Canonical problems in various coordinate systems

16. Asymptotic analysis

16.1. Branch cuts for wave propagation

16.2. Complex waves

16.3. Asymptotic evaluation of integrals

16.4. Examples in wave propagation

16.5. Modified saddle point technique

17. Covariant formulation of Maxwell's equations

17.1. Preliminaries of tensor calculus

17.2. The covariant form of Maxwell's equations in Euclidean pseudo-space

17.3. Maxwell's equations in an arbitrary spacetime

17.4. Covariant form of Maxwell's equations in stationary matter

17.5. Transformational electromagnetics

18. Maxwell's equations in the sense of distributions

18.1. Preliminaries of distributions

18.2. Derivation of boundary conditions using distributions

19. Stochastic representations of wave phenomena

19.1. Preliminaries of stochastic calculus

19.2. Stochastic processes and Brownian motion

19.3. Itô integral and Itô-Doeblin formula

19.4. Solution of PDEs by stochastic technique, Feynman-Kac formulas.

Notes:

"Version: 20201201"--Title page verso.

Includes bibliographical references.

Title from PDF title page (viewed on January 14, 2021).

Other Format:

Print version:

ISBN:

9780750317160

9780750317153

OCLC:

1231597437

Access Restriction:

Restricted for use by site license.