Overview
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.
Full Product Details
Author: S.S. Vinogradov ,
P. D. Smith ,
E.D. Vinogradova ,
Alan Jeffrey
Publisher: Taylor & Francis Ltd
Imprint: Chapman & Hall/CRC
Weight: 0.453kg
ISBN: 9780367455255
ISBN 10: 0367455250
Pages: 392
Publication Date: 18 December 2020
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: In Print
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Reviews
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
"""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"
Author Information
Vinogradov, S.S. | Smith, P. D. | Vinogradova, E.D.
