1. Noniterative analytical formula for inverse scattering of multiply scattering point targets.
- Author
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Marengo, Edwin A. and Gruber, Fred K.
- Subjects
MULTIPLE scattering (Physics) ,SCATTERING (Mathematics) ,NONLINEAR statistical models ,BOUNDARY value problems ,PARTIAL differential equations - Abstract
This paper derives, in the exact framework of multiple scattering theory for point targets, a noniterative analytical formula for the nonlinear inversion of the target scattering strengths from the scattering or response matrix that can be applied after the target positions have been estimated in a previous step via, e.g., time-reversal multiple signal classification or another approach. The new formula provides a noniterative analytical alternative to the iterative numerical solution approach for the same problem presented in a recent paper [A. J. Devaney, E. A. Marengo, and F. K. Gruber, “Time-reversal-based imaging and inverse scattering of multiply scattering point targets,” J. Acoust. Soc. Am. 118, 3129–3138 (2005)]. The two methods (noniterative versus iterative) are comparatively investigated with two numerical examples. [ABSTRACT FROM AUTHOR]
- Published
- 2006
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