Derivation of Green's Functions for Paraxial Fields of a Wedge with Particular Anisotropic Impedance Faces

A dyadic Green's function of a wedge with anisotropic impedance faces, excited by an electric dipole source, is derived for the paraxial region where the source and observation points are in proximity to the apex but widely separated. The principal anisotropy axis is the edge axis, and surface...

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Bibliographic Details
Published in:Electromagnetics 2013-07, Vol.33 (5), p.392-412
Main Authors: Isenlik, Türker, Yegin, Korkut
Format: Article
Language:English
Subjects:
anisotropic impedance wedge
Anisotropy
Asymptotic methods
Dyadics
electromagnetic scattering
Electromagnetics
Green's functions
Impedance
Mathematical analysis
Mathematical models
paraxial region
Simulation
Surface waves
Wedges
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Summary:A dyadic Green's function of a wedge with anisotropic impedance faces, excited by an electric dipole source, is derived for the paraxial region where the source and observation points are in proximity to the apex but widely separated. The principal anisotropy axis is the edge axis, and surface impedances parallel and transverse to this axis are considered. Following a "separation of variables" derivation, final dyadics involve eigenfunction solutions over an angular wave number and a longitudinal spectral integral, which is evaluated asymptotically assuming that k|z - z′| is large. It is observed that derived forms reveal three distinct scattering mechanisms: edge-guided waves, surface waves, and guided waves in the classical sense. Numerical simulations limited to paraxial region show that edge-guided and guided-wave terms are dominant at points away from the wedge surface, whereas surface waves are dominant near impedance surfaces. Both capacitive, inductive, and mixed (one face capacitive and the other inductive) reactive surface impedances are numerically analyzed. The resulting expressions can be used in the analysis of antennas located near the apex of a wedge and electromagnetic scattering from artificially hard and soft surfaces.
ISSN:0272-6343
1532-527X
DOI:10.1080/02726343.2013.792722