Canonical Problems in Scattering and Potential Theory Part II - Acoustic and Electromagnetic Diffraction by Canonical Structures

Delivered in an accessible, concrete style, this groundbreaking work examines the diffraction of acoustic and electromagnetic waves from several classes of open structures with edges or cavities. It describes a breakthrough in analytical techniques for accurately determining diffraction from various classes of canonical scatterers. Part II of a two-volume set, 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.

List of contents

Mathematical Aspects of Wave Scattering. . Acoustic Diffraction from a Circular Hole in a Thin Spherical Shell. Acoustic Diffraction from Various Spherical Cavities. Electromagnetic Diffraction from a Perfectly Conducting Spherical Cavity. . EM Plane Wave Scattering by Two Concentric Spherical Shells. Diffraction from Spheroidal Cavities . SelectedWave-ScatteringProblems for Different Structures . Appendix: Spheroidal Functions. References.

About the author

Professor Sergei S. Vinogradov holds the post of Leading Scientist at the Institute of Radiophysics and Electronics, Kharkov, Ukraine. Paul D. Smith is Professor of Applied Mathematics at the University of Dundee, Scotland. Dr. Elena D. Vinogradova is also at the University of Dundee as a Visiting Scientist from the Institute of Radiophysics and Electronics, Kharkov, Ukraine.

Summary

Delivered in an accessible, concrete style, this groundbreaking work examines the diffraction of acoustic and electromagnetic waves from several classes of open structures with edges or cavities. It describes a breakthrough in analytical techniques for accurately determining diffraction from various classes of canonical scatterers. Part II of a tw

Product details

• Authors: Alan Jeffrey, P. D. Smith, P. D. (University of Dundee Smith, S. S. Vinogradov, S.S. Vinogradov, S.S. (University of Dundee Vinogradov, E. D. Vinogradova, E.D. Vinogradova, E.D. (University of Dundee Vinogradova
• Assisted by: Alan Jeffrey (Editor of the series), E.D. Vinogradova (Editor of the series)
• Publisher: Taylor and Francis
• Languages: English
• Product format: Hardback
• Released: 31.12.2021
• EAN: 9781584881636
• ISBN: 978-1-58488-163-6
• No. of pages: 516
• Dimensions: 156 mm x 234 mm x 35 mm
• Weight: 907 g
• Illustrations: schwarz-weiss Illustrationen
• Series: Monographs and Surveys in Pure and Applied Mathematics; Monographs and Surveys in Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Functional Analysis, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Complex Analysis, Complex analysis, complex variables, Functional analysis & transforms, Real analysis, real variables, Functional analysis and transforms