Chapter 4. Electromagnetic Fields and Waves

  1. Devendra K. Misra

Published Online: 25 AUG 2004

DOI: 10.1002/0471653764.ch4

Radio-Frequency and Microwave Communication Circuits: Analysis and Design, Second Edition

Radio-Frequency and Microwave Communication Circuits: Analysis and Design, Second Edition

How to Cite

Misra, D. K. (2004) Electromagnetic Fields and Waves, in Radio-Frequency and Microwave Communication Circuits: Analysis and Design, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471653764.ch4

Author Information

  1. University of Wisconsin-Milwaukee, USA

Publication History

  1. Published Online: 25 AUG 2004
  2. Published Print: 17 AUG 2004

ISBN Information

Print ISBN: 9780471478737

Online ISBN: 9780471653769

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Keywords:

  • Maxwell's equations;
  • wave equation;
  • uniform plane waves;
  • boundary conditions;
  • scalar potential;
  • vector potential;
  • parallel-plate waveguide;
  • rectangular waveguide;
  • circular waveguide

Summary

This chapter begins with an introduction to fundamental laws of electromagnetic fields. Maxwell's equations in integral (or large-scale) form are introduced initially because these are relatively easier to correlate with the experimental observations. The corresponding differential expressions (or point forms) are obtained via the Stokes and Gauss's theorems. After a brief discussion on time-harmonic fields and the constitutive relations, uniform plane waves are introduced. The boundary conditions are summarized next, along with its applications in reflection and transmission of uniform plane waves at planar interfaces.

A short presentation on the magnetic sources (current and charge) is included following the uniform plane wave propagation. After introducing modified Maxwell's equations, potential functions are presented. This facilitates the construction of solutions in different coordinate systems. The chapter ends with a presentation on the hollow metallic cylindrical waveguides.