Validation of Higher-Order Approximations and Boundary Conditions for Lossy Conducting Bodies

The problem of high-frequency diffraction by a smooth lossy body with high conductivity is considered. In addition to the geometrical optics approximation, additional asymptotic terms are derived to take into account the curvature of the boundary and material properties. Since these higher-order ter...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2014-09, Vol.62 (9), p.4656-4663
Main Authors: Sukharevsky, Ilya O., Altintas, Ayhan
Format: Article
Language:English
Subjects:
Antennas
Approximation
Approximation methods
Asymptotic diffraction theory
Asymptotic properties
Boundaries
Boundary conditions
boundary value problems
conducting materials
Conductors
Dielectrics
Diffraction
Equations
higher-order boundary conditions
Impedance
impedance boundary conditions (IBCs)
Integral equations
Mathematical analysis
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Summary:The problem of high-frequency diffraction by a smooth lossy body with high conductivity is considered. In addition to the geometrical optics approximation, additional asymptotic terms are derived to take into account the curvature of the boundary and material properties. Since these higher-order terms are derived by taking into account exact boundary conditions, it is easy to learn about the limitations of impedance conditions and to determine more accurate approximate conditions. The obtained higher-order boundary conditions and their limitations are numerically validated by solving Muller's second-kind integral equations.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2014.2331991