Field Theory of Guided Waves by Robert E. Collin

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SUMMARY

The discussion centers on Robert E. Collin's book, "Field Theory of Guided Waves," which is a comprehensive resource on electromagnetic theory and analytical methods for waveguide and cavity problems. The second edition has been significantly updated, featuring approximately 40% new material and extensive examples. Key topics include Green's functions, transverse electromagnetic waves, and various waveguide structures. The book is essential for engineers working in microwave and antenna systems, providing both theoretical insights and practical applications.

PREREQUISITES
  • Calculus/Engineering Mathematics (introductory complex analysis and linear analysis)
  • Introductory Physics
  • Circuit Theory
  • Electromagnetic Theory
NEXT STEPS
  • Study Green's Functions in-depth, particularly in the context of electromagnetic theory.
  • Explore advanced topics in Transmission Lines and Waveguides.
  • Learn about Variational Methods for Waveguide Discontinuities.
  • Investigate the application of Asymptotic Techniques and Fourier Transforms in electromagnetic problems.
USEFUL FOR

This discussion is beneficial for graduate students, engineers, and researchers specializing in microwave engineering, antenna design, and applied mathematics in electromagnetic theory.

For those who have used this book

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  • Author: Robert E. Collin
  • Title: Field Theory of Guided Waves (IEEE Press Series on Electromagnetic Wave Theory)
  • Amazon Link: https://www.amazon.com/dp/0879422378/?tag=pfamazon01-20
  • Prerequisities: Calculus/Engineering Mathematics (introductory complex analysis and linear analysis), Introductory Physics, Circuit Theory, Electromagnetic Theory
  • Level: Undergraduate, Upper level; Graduate

From the publisher:
"Co-published with Oxford University Press Long considered the most comprehensive account of electromagnetic theory and analytical methods for solving waveguide and cavity problems, this new Second Edition has been completely revised and thoroughly updated -- approximately 40% new material!Packed with examples and applications FIELD THEORY OF GUIDED WAVES provides solutions to a large number of practical structures of current interest. The book includes an exceptionally complete discussion of scalar and Dyadic Green functions. Both a valuable review and source of basic information on applied mathematical topics and a hands-on source for solution methods and techniques, this book belongs on the desk of all engineers working in microwave and antenna systems!"

Table of Contents

Preface.

Basic Electromagnetic Theory.

Green's Functions.

Transverse Electromagnetic Waves.

Transmission Lines.

Waveguides and Cavities.

Inhomogeneously Filled Waveguides and Dielectric Resonators.

Excitation of Waveguides and Cavities.

Variational Methods for Waveguide Discontinuities.

Periodic Structures.

Integral Transform and Function-Theoretic Techniques.

Surface Waveguides.

Artificial Dielectrics.

Mathematical Appendix.

Name Index.

Subject Index.


Suggested by jasonRF
 
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This is a very good graduate level text on guided electromagnetic waves. The prerequisites are significant: complex analysis, boundary value problems and special functions, undergrad understanding of waveguides and transmission lines, and ideally graduate electromagnetic theory. Collin also uses circuit models of things like diaphrams, so familiarity with the type of circuit modelling done in microwave engineering is helpful (see Pozar's text). The second edition was the optional book for a graduate course on microwave theory I took a long time ago so I am fairly familiar with it.

The book is long and dense - it takes a lot of work to get through this, and I have only worked through some of the sections. Some of the problems are not so bad, but there are a fair number of very challenging problems in this book.

Chapter 2 is on Green's functions and is almost my favorite exposition on the subject, second only to "mathematical foundations for electromagnetic theory" by Dudley. Chapter 3 on TEM waves is not as clear as it could be, and I haven't really read chapter 9 on periodic structures or chapter 12 on artificial dielectrics. The remainder of the book is full of analytical computations (both exact and approximate) of many aspects of guided waves. It really is a treasure chest of applied mathematical techniques with complicated examples including asymptotics, summing Fourier series, complex Fourier transforms, conformal mapping and the Weiner-Hopf technique.


jason
 

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