Field Solutions and Representations

Field Solutions and Representations

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In this chapter we present formal solutions to Maxwell's equations. These can be cast into a variety of integral representations for computing the radiated field by an antenna or the scattered field from a composite structure. Some of these representations are given here, and we will refer to them in the other chapters.

Chapter Contents:

  • 2.1 Field Solutions in Terms of Vector and Hertz Potentials
  • 2.2 Solution for the Vector and Scalar Potentials
  • 2.3 Near- and Far-Zone Field Expressions
  • 2.4 Direct Solution of the Vector Wave Equation
  • 2.5 Two-Dimensional Fields
  • 2.6 Spectral Field Representations
  • 2.7 Radiation over a Dielectric Half Space
  • Problems
  • Bibliography

Inspec keywords: integral equations; electromagnetic wave scattering; Maxwell equations; antenna radiation patterns; electromagnetic field theory

Other keywords: integral equation methods; electromagnetics; Maxwell's equations; composite structure; formal solutions; antenna radiated field; scattered field; integral representations; field solutions; field representations

Subjects: Antenna theory; Electromagnetic wave propagation; Function theory, analysis; Maxwell theory: general mathematical aspects; Electromagnetic waves: theory; Integral equations (numerical analysis)

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