Time reversal and Lanczos iterations

We describe a new time-reversal algorithm capable of focusing on multiple scatterers in a relatively small number of iterations. We recognize that the traditional time-reversal method is based on utilizing power iterations to determine the dominant eigenpairs of the time-reversal operator. The conve...

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Bibliographic Details
Published in:Journal of physics. Conference series 2008-11, Vol.135 (1), p.012078
Main Authors: Oberai, A A, Feijoo, G R, Barbone, P E
Format: Article
Language:English
Subjects:
Algorithms
Physics
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Summary:We describe a new time-reversal algorithm capable of focusing on multiple scatterers in a relatively small number of iterations. We recognize that the traditional time-reversal method is based on utilizing power iterations to determine the dominant eigenpairs of the time-reversal operator. The convergence properties of these iterations are known to be sub-optimal. Motivated by this we propose and describe a new time-reversal method based on Lanczos iterations. We consider a simplified scatterer identification problem and compare the performance of the Lanczos and power iterations based methods. We conclude that for the same number of transmitted and received signals, the Lanczos iterations based approach is substantially more accurate.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/135/1/012078