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An Integral Equation Approach to Scattering From a Body of Finite Conductivity
Author(s) -
Mitzner K. M.
Publication year - 1967
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds19672121459
Subject(s) - mathematical analysis , curvature , scattering , boundary value problem , integral equation , mathematics , conductivity , physics , radius , geometry , optics , quantum mechanics , computer security , computer science
The problem of scattering from a homogeneous body is formulated in terms of two coupled integral equations relating the effective electric and magnetic surface currents K e and K m . The formulation chosen, in which each equation involves the constitutive parameters of only one medium, is especially suited to the case of a high conductivity scatterer. From the equation for the conducting medium, one can derive. under increasingly restrictive assumptions, first an explicit expression for K m in terms of K e then a curvature‐dependent boundary condition relating the two currents, and finally the usual Leontovich boundary condition. Numerical results for scattering from circular cylinders of small radius show the advantage of the curvature‐dependent condition over the Leontovich condition.