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Title: Absolutely and uniformly convergent iterative approach to inverse scattering with an infinite radius of convergence

Abstract

A method and system for solving the inverse acoustic scattering problem using an iterative approach with consideration of half-off-shell transition matrix elements (near-field) information, where the Volterra inverse series correctly predicts the first two moments of the interaction, while the Fredholm inverse series is correct only for the first moment and that the Volterra approach provides a method for exactly obtaining interactions which can be written as a sum of delta functions.

Inventors:
 [1];  [1];  [1];  [1];  [2]
  1. Houston, TX
  2. Ames, IA
Issue Date:
Research Org.:
Ames Lab., Ames, IA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
909331
Patent Number(s):
7212933
Application Number:
10/806,045
Assignee:
The University of Houston System (Houston, TX)
Patent Classifications (CPCs):
G - PHYSICS G01 - MEASURING G01N - INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
DOE Contract Number:  
W-7405-ENG-82
Resource Type:
Patent
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Kouri, Donald J, Vijay, Amrendra, Zhang, Haiyan, Zhang, Jingfeng, and Hoffman, David K. Absolutely and uniformly convergent iterative approach to inverse scattering with an infinite radius of convergence. United States: N. p., 2007. Web.
Kouri, Donald J, Vijay, Amrendra, Zhang, Haiyan, Zhang, Jingfeng, & Hoffman, David K. Absolutely and uniformly convergent iterative approach to inverse scattering with an infinite radius of convergence. United States.
Kouri, Donald J, Vijay, Amrendra, Zhang, Haiyan, Zhang, Jingfeng, and Hoffman, David K. Tue . "Absolutely and uniformly convergent iterative approach to inverse scattering with an infinite radius of convergence". United States. https://www.osti.gov/servlets/purl/909331.
@article{osti_909331,
title = {Absolutely and uniformly convergent iterative approach to inverse scattering with an infinite radius of convergence},
author = {Kouri, Donald J and Vijay, Amrendra and Zhang, Haiyan and Zhang, Jingfeng and Hoffman, David K},
abstractNote = {A method and system for solving the inverse acoustic scattering problem using an iterative approach with consideration of half-off-shell transition matrix elements (near-field) information, where the Volterra inverse series correctly predicts the first two moments of the interaction, while the Fredholm inverse series is correct only for the first moment and that the Volterra approach provides a method for exactly obtaining interactions which can be written as a sum of delta functions.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2007},
month = {5}
}

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