# 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:

- Houston, TX
- Ames, IA

- Publication Date:

- Research Org.:
- Ames Laboratory (AMES), Ames, IA

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 909331

- Patent Number(s):
- 7,212,933

- Application Number:
- 10/806,045

- Assignee:
- The University of Houston System (Houston, TX) AMES

- 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.
doi:. 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 = {Tue May 01 00:00:00 EDT 2007},

month = {Tue May 01 00:00:00 EDT 2007}

}

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