Approximate Boundary Conditions in Electromagnetics
Institution of Electrical Engineers, 1995 - Technology & Engineering - 353 pages
Non-metallic materials and composites are now commonplace in modern vehicle construction, and the need to compute scattering and other electromagnetic phenomena in the presence of material structures has led to the development of new simulation techniques. This book describes a variety of methods for the approximate simulation of material surfaces, and provides the first comprehensive treatment of boundary conditions in electromagnetics. The genesis and properties of impedance, resistive sheet, conductive sheet, generalised (or higher order) and absorbing (or non-reflecting) boundary conditions are discussed. Applications to diffraction by numerous canonical geometries and impedance (coated) structures are presented, and accuracy and uniqueness issues are also addressed, high frequency techniques such as the physical and geometrical theories of diffraction are introduced, and more than130 figures illustrate the results, many of which have not appeared previously in the literature. Written by two of the authorities m the field, this
graduate-level text should be of interest to all scientists and engineers concerned with the analytical and numerical solution of electromagnetic problems.
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First order conditions
Application to planar structures
Application to impedance wedges
7 other sections not shown
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absorbing boundary conditions accuracy angle application approximate boundary conditions Babinet's principle backscatter Clemmow coated computed conducting half-plane conductive sheet constant contact condition coordinates corresponding cos2 derived dielectric diffracted field diffraction coefficient discontinuity dual integral equation echowidth electric electromagnetic equivalent evaluation expressions field components Figure finite generalised geometrical optics H-polarisation higher order illustrated in Fig impedance boundary condition impedance half-plane impedance wedge incident field integrand Maliuzhinets Maxwell's equations obtain order ABC order boundary condition order conditions perfectly conducting planar surface plane wave polarisation problem reflection coefficient resistive and conductive resistive half-plane resistive sheet right hand side saddle point satisfies scalar scattered field second order GIBC Section Senior sheet junction shown in Fig SIBC simulate skew incidence steepest descent surface impedance surface wave surface wave pole tangential Taylor series total field transition conditions unit vector upper Volakis wave equation Wiener-Hopf zero