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Canonical Problems in Scattering and Potential Theory Part II: Acoustic and Electromagnetic Diffraction by Canonical Str
     

Canonical Problems in Scattering and Potential Theory Part II: Acoustic and Electromagnetic Diffraction by Canonical Str

by S.S. Vinogradov, P. D. Smith, E.D. Vinogradova
 

ISBN-10: 1584881631

ISBN-13: 9781584881636

Pub. Date: 04/29/2002

Publisher: Taylor & Francis

Although the analysis of scattering for closed bodies of simple geomet ric shape is well developed, structures with edges, cavities, or inclu sions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for a ccurately determining diffraction from classes of canonical scatterers with

Overview

Although the analysis of scattering for closed bodies of simple geomet ric shape is well developed, structures with edges, cavities, or inclu sions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for a ccurately determining diffraction from classes of canonical scatterers with comprising edges and other complex cavity features. It is an aut horitative account of mathematical developments over the last two deca des that provides benchmarks against which solutions obtained by numer ical methods can be verified.

Product Details

ISBN-13:
9781584881636
Publisher:
Taylor & Francis
Publication date:
04/29/2002
Series:
Monographs and Surveys in Pure and Applied Mathematics Series , #127
Pages:
520
Product dimensions:
6.40(w) x 9.50(h) x 1.33(d)

Table of Contents

Mathematical Aspects of Wave Scattering.
The Equations of Acoustic and Electromagnetic Waves
Solution of Helmholtz Equation: Separation of Variables
Electromagnetic Fields of Elementary Sources. Green's Functions
Representation of Incident Electromagnetic Waves
Formulation of Wave Scattering Theory for Structures with Edges
Single- or Double-Layer Surface Potentials and Dual Series Equations
Survey of Methods for Scattering
Acoustic Diffraction from a Circular Hole in a Thin Spherical Shell
Plane wave Diffraction from a Soft or Hard Spherical Cap
Rigorous Theory of the Spherical Helmholtz Resonator
Quasi-Eigen Oscillations: Spectrum of the Open Spherical Shell
Total and Sonar Cross-Sections
Wide band Calculation of Mechanical Force
The Receiving Spherical Reflector Antenna. Focal Region Analysis
The Transmitting Spherical Reflector Antenna
Acoustic Diffraction from Various Spherical Cavities
The Hard Spherical Barrel and Soft Slotted Spherical Shell
The Soft Spherical Barrel and Hard Slotted Spherical Shell
Helmholtz Resonators: Barrelled or Slotted Spherical Shells
Quasi-Eigen Oscillations of the Spherical Cavity
Total and Sonar Cross-Sections; Mechanical Force Factor
Electromagnetic Diffraction from a Perfectly Conducting Spherical Cavity.
Electric or Magnetic Dipole Excitation.
PlaneWave Diffraction from a Circular Hole in a Thin Metallic Sphere
Reflectivity of an Open Spherical Shell
The Receiving Spherical Reflector Antenna: Focal Region Analysis
The Transmitting Spherical Reflector Antenna
Electromagnetic Diffraction from Various Spherical Cavities
EM Plane Wave Scattering by Two Concentric Spherical Shells
Dipole Excitation: Slot Antennae
Dipole Excitation of Doubly-Connected Spherical Shells
Plane Wave Diffraction from a Perfectly Conducting Slotted Spherical Shell
Magnetic Dipole Excitation of an Open Spherical Resonator
Open Resonators Composed of Spherical and Disc Mirrors
Spherical Cavities with Spherical Dielectric Inclusions
Resonant Cavity Heating of a Small Lossy Dielectric Sphere
Reflectivity of a Partially Screened Dielectric Sphere
The Luneberg Lens Reflector
Diffraction from Spheroidal Cavities
Acoustic Scattering by a Rigid Thin Prolate Spheroidal Shell with a Circular Hole.
Rigorous Theory of the Spheroidal Helmholtz Resonator .
Axial Electric Dipole Excitation of Ametallic Spheroidal Cavity with One Hole: The Spheroidal Antenna
Axial Magnetic Dipole Excitation of a Metallic Spheroidal Cavity with One Hole
Axial Electric Dipole Excitation of a Spheroidal Cavity with Two Symmetrically Located Holes
Impedance Loading of the Spheroidal Barrel
Metallic Spheroid Embedded in a Spheroidal Cavity with Two Circular Holes: Shielded Dipole Antenna
SelectedWave-ScatteringProblems for Different Structures
Plane Wave Diffraction from Infinitely Long Strips
Axially Slotted Infinitely Long Circular Cylinders
Diffraction Problems for Circular Discs
Diffraction from Elliptic Plates
Wave Scattering Problems for Hollow Finite Cylinders
Wave Scattering Problems for Some Periodic Structures
Periodic Structure of a Hollow Finite Cylinders
Shielded Microstrip Lines
A Spheroidal Functions
References

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