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Diffraction of a TM surface wave by an angular break of an impedance sheet

Diffraction of a TM surface wave by an angular break of an impedance sheet

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This chapter discusses the diffraction of an electromagnetic surface wave by an impedance sheet with an angular break. The vector of the magnetic field strength H of the wave is directed along the edge of the break. The angular break divides R3 into two wedge-shaped domains, Ω1 and Ω2. The axis OZ coincides with the edge of the structure, whereas the transverse magnetic surface wave is incident along the side Γ+ in the direction orthogonal to the edge. In this case, a solution depends on the coordinates x and y. The principal problem consists of computing the scattering diagram (diffraction coefficient) of the cylindrical wave propagating from the edge.

Chapter Contents:

  • 4.1 Formulation of the problem
  • 4.2 Functional equations and reduction to integral equations
  • 4.2.1 Reduction to a second-order functional equation
  • 4.2.2 An integral equation of the second kind
  • 4.3 Analytic continuation of the spectral functions and scattering diagram
  • 4.3.1 Scattering diagram
  • 4.3.2 Reflected and transmitted surface waves
  • 4.4 Discussion of uniqueness

Inspec keywords: electric impedance; electromagnetic wave scattering; electromagnetic wave propagation; electromagnetic wave diffraction

Other keywords: impedance sheet; cylindrical wave propagation; electromagnetic surface wave diffraction; scattering diagram; impedance sheet angular break; angular break; wedge-shaped domains; TM surface wave diffraction; magnetic field strength; edge direction orthogonal; transverse magnetic surface wave; edge break

Subjects: Electromagnetic waves: theory; Electromagnetic wave propagation

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