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

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Scattering of Wedges and Cones with Impedance Boundary Conditions — Recommend this title to your library

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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

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