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

Hardcover (Print)
Buy New
Buy New from BN.com
$114.44
Used and New from Other Sellers
Used and New from Other Sellers
from $66.66
Usually ships in 1-2 business days
(Save 56%)
Other sellers (Hardcover)
  • All (6) from $66.66   
  • New (4) from $120.00   
  • Used (2) from $66.66   

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.

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.

Read More Show Less

Editorial Reviews

From The Critics
This second volume in a two-part set develops the approach given in the first volume to analyze the diffraction of acoustic and electromagnetic waves from several classes of open structures with edges or cavities. The approach is based on transformations connected with Abel's integral equation to invert a singular part of the operator defining the potential for the solution of mixed boundary value potential problems for structures with cavities and edges. Some specific topics include acoustic diffraction from a circular hole in a thin spherical shell, and electromagnetic diffraction from a metallic spherical cavity. Vinogradov is leading scientist at the Institute of Radiophysics and Electronics, Ukraine. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Read More Show Less

Product Details

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

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)