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OverviewAlthough the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers with comprising edges and other complex cavity features. It is an authoritative account of mathematical developments over the last two decades that provides benchmarks against which solutions obtained by numerical methods can be verified.The first volume, Canonical Structures in Potential Theory, develops the mathematics, solving mixed boundary potential problems for structures with cavities and edges. The second volume, Acoustic and Electromagnetic Diffraction by Canonical Structures, examines the diffraction of acoustic and electromagnetic waves from several classes of open structures with edges or cavities. Together these volumes present an authoritative and unified treatment of potential theory and diffraction-the first complete description quantifying the scattering mechanisms in complex structures. Full Product DetailsAuthor: S.S. Vinogradov , P. D. Smith , E.D. Vinogradova , Alan JeffreyPublisher: Taylor & Francis Ltd Imprint: Chapman & Hall/CRC Dimensions: Width: 21.00cm , Height: 6.40cm , Length: 28.00cm Weight: 1.837kg ISBN: 9781584881643ISBN 10: 158488164 Pages: 912 Publication Date: 26 April 2002 Audience: Professional and scholarly , College/higher education , General/trade , Professional & Vocational , Postgraduate, Research & Scholarly Format: Mixed media product Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsCANONICAL STRUCTURES IN POTENTIAL THEORY: Mathematical Aspects of Potential Theory; Dual or Triple Series and Integral Equations; Electrostatic Potential Theory for Open Spherical Shells and Cavities; Open Spheroidal Conducting Shells and Cavities; Charged Toroidal Shells and Cavities; Potential Theory for Conical Structures with Edges. Two-Dimensional Potential Theory; Rigorous Solution Methods for more Complicated Structures. ACOUSTIC AND ELECTROMAGNETIC DIFFRACTION BY CANONICAL STRUCTURES: Mathematical Aspects of Wave Scattering; Acoustic Diffraction from a Circular Hole in a Thin Spherical Shell; Acoustic Diffraction from a Spherical Shell with Two Holes or an Equatorial Slot; Electromagnetic Diffraction from a Circular Hole in a Perfectly Conducting Spherical Shell; Electromagnetic Diffraction from a Spherical Shell with Two Circular Holes or an Equatorial Slot; Spherical Cavities with Dielectric Inclusions of Spherical Shape; Diffraction from Spheroidal Cavities; Applications of the Abel Integral Transform to Diffraction by Other Classes of Canonical Scatterers; Conclusion.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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