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Appendix D. Selected elements of electromagnetics

Appendix D. Selected elements of electromagnetics

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The purpose of this appendix is to collect some of the quantities related to propagation of electromagnetic waves and provide definitions to the important quantities that are used in this work. It is of course not possible to deal with the whole theory of electromagnetics nor there is a need for that. It is assumed the reader is familiar with most of the concepts, but there is still value in collecting together these concepts. The reader will, of course, have to refer to more extensive exposition of electromagnetics for the details of the relations given here and for any extension of the concepts beyond the scope of the present work.

Chapter Contents:

  • D.1 Maxwell's equations
  • D.1.1 Maxwell's equations: the time-harmonic form
  • D.1.2 Source-free equations
  • D.1.3 Interface conditions
  • D.2 The electromagnetic wave equation and its solution
  • D.2.1 Time-harmonic wave equations
  • D.2.2 Solution of the wave equation
  • D.2.3 Solution for uniform plane waves in lossless media
  • D.2.3.1 The one-dimensional wave equation in free space and perfect dielectrics
  • D.3 Propagation of plane waves in materials
  • D.3.1 Propagation of plane waves in lossy dielectrics
  • D.3.2 Propagation of plane waves in low-loss dielectrics
  • D.3.3 Propagation of plane waves in conductors or high-loss
  • D.4 The Poynting theorem and electromagnetic power
  • D.4.1 The Poynting theorem in the time domain
  • D.4.2 The complex Poynting vector
  • D.5 Reflection, transmission, and refraction of plane waves
  • D.5.1 Oblique incidence on a dielectric interface: perpendicular polarization
  • D.5.2 Oblique incidence on a dielectric interface: parallel polarization
  • D.5.3 Reflection and transmission on dielectric interfaces: norma l incidence
  • D.5.4 Reflection and transmission on perfect conductors
  • Further reading

Inspec keywords: electromagnetic wave propagation

Other keywords: electromagnetic theory; electromagnetic wave propagation

Subjects: Electromagnetic waves: theory; Electromagnetic wave propagation

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