Field Theory of Guided Waves by Robert E. Collin

In summary: RF: "Can you provide a summary of the book "Field Theory of Guided Waves" by Robert E. Collin and its contents?"In summary, "Field Theory of Guided Waves" is a comprehensive and heavily revised graduate level text on guided electromagnetic waves. The book covers a wide range of topics, from basic electromagnetic theory and Green's functions to transmission lines, waveguides, and cavities. The prerequisites for understanding the book are significant, including complex analysis, boundary value problems, and an understanding of waveguides and transmission lines. The book also includes challenging problems and a variety of applied mathematical techniques. Overall, it is a valuable resource for engineers working in microwave and antenna systems.

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  • #1
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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.


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  • #2
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
 

1. What is the Field Theory of Guided Waves?

The Field Theory of Guided Waves, also known as the Collin's Theory, is a mathematical framework used to analyze and predict the behavior of electromagnetic waves propagating in guided structures, such as waveguides and transmission lines.

2. Who is Robert E. Collin?

Robert E. Collin is a renowned scientist and professor who developed the Field Theory of Guided Waves in the 1960s. He is best known for his contributions to the field of microwave engineering and electromagnetics, and has authored several books and publications on the subject.

3. What are some applications of the Field Theory of Guided Waves?

The Field Theory of Guided Waves has many practical applications, including the design and analysis of microwave devices, antennas, radar systems, and optical fibers. It is also used in the development of high-speed communication systems and in the study of electromagnetic compatibility.

4. How does the Field Theory of Guided Waves differ from other theories?

The Field Theory of Guided Waves differs from other theories, such as circuit theory and electromagnetic theory, in that it takes into account the distributed nature of guided structures. It also considers the effects of electromagnetic fields on the surrounding media, which allows for a more accurate analysis of real-world systems.

5. Is the Field Theory of Guided Waves still relevant today?

Yes, the Field Theory of Guided Waves is still widely used in modern engineering and research. While it was initially developed for microwave engineering, it has also been applied to other areas, such as optics, acoustics, and even quantum mechanics. It continues to be a valuable tool for understanding and predicting the behavior of guided waves in various systems.

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