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Exact Prediction Techniques

Exact Prediction Techniques

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The objective of this chapter is to review briefly the classical modal solutions for 2-D cylinders and spheres and then to examine the powerful numerical techniques used to solve Maxwell's equations as expressed by the Stratton-Chu integral formulations and the differential equation formulations. Exact solutions for practical geometries for scattering are rarely found. This is because the wave equation is solvable by historical analytical methods when the scattering geometry coincides with one of the few separable coordinate systems for which exact series solutions are available. Unfortunately, few practical geometries match the solutions available.

Chapter Contents:

  • 4.1 Introduction
  • 4.2 Classical Modal Solutions
  • 4.3 Integral Equation Solutions
  • 4.3.1 EM Integral Equations
  • 4.3.2 Boundary Conditions
  • 4.3.3 Solution Procedures
  • 4.3.4 Scattered Fields
  • 4.3.5 Example Solutions
  • 4.4 Phenomenology: Surface Currents, Near Fields, and Imaging
  • 4.4.1 Time-Varying Vectors
  • 4.4.2 Currents
  • 4.4.3 Near Fields
  • 4.4.4 Bistatic Image Analysis Using k Space Formulation
  • 4.5 Differential Equation Solutions
  • 4.6 Comparisons with High-Frequency Solutions
  • 4.7 Summary
  • References

Inspec keywords: differential equations; electromagnetic wave scattering; Maxwell equations

Other keywords: wave equation; Maxwell equation; Stratton-Chu integral formulation; numerical technique; 2D spheres; scattering geometry; coordinate systems; differential equation formulation; classical modal solutions; 2D cylinders; exact prediction technique

Subjects: Differential equations (numerical analysis); Electromagnetic waves: theory; Electromagnetic wave propagation; Numerical approximation and analysis

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