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Plane Wave Diffraction at a Strip Oriented in the Direction of Polarization (Dirichlet Boundary Problem)

Plane Wave Diffraction at a Strip Oriented in the Direction of Polarization (Dirichlet Boundary Problem)

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Previously, Chapters 8-10 examined the asymptotic solution to the Neumann boundary problem. This chapter will present an analogous but abbreviated examination of the Dirichlet boundary problem.

Chapter Contents:

  • 11.1 Formulation and Solution of the Functional Equations
  • 11.2 Scattering Pattern and the Edge Wave Equation
  • 11.3 Infinite Series and the Integral Equation for the Current
  • 11.3.1 Series of Functions ξ n (z, α0) and Some of Their Properties
  • 11.3.2 Integral Equation for the Current
  • 11.4 Asymptotic Representation for ξ n (z,α)
  • 11.5 First-Order Approximation for the Current
  • 11.6 Nth-Order Approximation for the Current
  • 11.7 Scattering Pattern Represented by a Series of Functions Ψ n (α,α0)
  • 11.8 Asymptotic Representation for Ψ n (α,α0)
  • 11.9 First-Order Approximation for the Scattering Pattern
  • 11.10 Nth-Order Approximation for the Scattering Pattern
  • 11.11 Relationship Between the Approximations for the Current and the Scattering Pattern
  • 11.12 Fundamental Results of the Mathematical Theory of Edge Diffraction

Inspec keywords: boundary-value problems; electromagnetic wave diffraction; electromagnetic wave polarisation

Other keywords: polarization; plane wave diffraction; strip; Dirichlet boundary problem

Subjects: Function theory, analysis; Electromagnetic waves: theory; Mathematical analysis; Electromagnetic wave propagation

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