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

United States Patent

May 1, 2007
View the Complete Patent at the US Patent & Trademark Office
Ames Laboratory - Visit the Iowa State University Research Foundation - Office of Intellectual Property & Technology Transfer Website
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.
Kouri; Donald J. (Houston, TX), Vijay; Amrendra (Houston, TX), Zhang; Haiyan (Houston, TX), Zhang; Jingfeng (Houston, TX), Hoffman; David K. (Ames, IA)
The University of Houston System (Houston, TX)
10/ 806,045
March 22, 2004
ACKNOWLEDGMENT OF GOVERNMENTAL SPONSORSHIP Portions of the research that supports the subject matter of this application was supported by a grant from the National Science Foundation grant number CHE-0074311 and U.S. Department of Energy Grant No. 2-7405-ENG82.