The Mathematical Institute, University of Oxford, Eprints Archive

Curvature corrected impedance boundary conditions in an arbitrary basis

Shaw, William T. and Dougan, Andrew J. (2005) Curvature corrected impedance boundary conditions in an arbitrary basis. IEEE Transactions on Antennas and Propagation . (In Press)


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We present a generalization of the Rytov analysis for curvature corrections to the "impedance boundary condition" (IBC) that allows such boundary conditions to be written down using general coodinates systems and bases for vectors. This removes the need to base the analysis of IBCs on either principal curvature axes or on hypothetical orthogonal coordinate systems. As an application, we show how to write down high-order IBCs for surfaces that are the deformation of a plane. We also show how the use of such an IBC can be used to further reconcile Kirchhoff and small perturbation methods.

Item Type:Article
Uncontrolled Keywords:Approximate boundary bonditions, impedance, impedance boundary condition, Leontovich boundary condition, dielectric body, impedance body, impedance surface, electromagnetic scattering
Subjects:H - N > Information and communication, circuits
D - G > Geophysics
O - Z > Statistics
O - Z > Optics, electromagnetic theory
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:167
Deposited By: William Shaw
Deposited On:01 Feb 2005
Last Modified:29 May 2015 18:17

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