Spectral domain solution and asymptotics for the diffraction by an impedance cone.

Spectral domain solution and asymptotics for the diffraction by an impedance cone.

The problem of diffraction of a plane wave by a cone with impedance condition on its surface is studied, for a scalar wave field satisfying the Helmholtz equation. The integral Kontorovich-Lebedev, Sommerfeld-Maliuzhinets and Fourier transformations are exploited to investigate the problem and to se...

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Bibliographic Details
Published in:IEEE Transactions on antennas and propagation 49, 12 (2001).
Main Author: Bernard, J.M.L
Format: Article
Language:English
Subjects:
Fourier transformations.
Helmholtz equation.
Laplace-Beltrami type equation.
Sommerfeld-Maliuzhinets transformation.
Asymptotics.
Circular impedance cone.
Closed form expression.
Correction terms.
Hole boundary.
Impedance type boundary condition.
Integral Kontorovich-Lebedev transformation.
Integral equation.
Narrow cone approximation.
Nonlocal impedance operator.
Nonoscillatory kernel.
Plane wave diffraction.
Radial variable.
Scalar incident plane wave.
Scalar wave field.
Scattering diagram.
Scattering pattern.
Spectral domain solution.
Spectral function.
Unit sphere.