Canonical Problems in Scattering and Potential Theory Part 1
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Canonical Problems in Scattering and Potential Theory Part 1: Canonical Structures in Potential Theory

Canonical Problems in Scattering and Potential Theory Part 1: Canonical Structures in Potential Theory


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About the Book

Although 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.

Table of Contents:
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.

About the Author :
Vinogradov, S.S. | Smith, P. D. | Vinogradova, E.D.

Review :
"self-contained and well written addressed to mathematicians, physicists, and electrical engineers." - Mathematical Reviews "It does...provide a very comprehensive reference work on a method of solution of a wide variety of potential problems involving bodies with edges, and anyone wishing to solve such a problem would be well advised to consult it either for the solution or for possible methods to approach it." -Derek Collins, SIAM Review, Vol 44, No. 2, 2002


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Product Details
  • ISBN-13: 9780367455255
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Chapman & Hall/CRC
  • Height: 234 mm
  • No of Pages: 392
  • Weight: 453 gr
  • ISBN-10: 0367455250
  • Publisher Date: 18 Dec 2020
  • Binding: Paperback
  • Language: English
  • Sub Title: Canonical Structures in Potential Theory
  • Width: 156 mm


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