Abstract
Time reversal methods have seen many applications in underwater acoustics, medical ultrasound, nondestructive evaluation, and several non‐acoustics applications. Techniques to target and/or locate individual scatterers are based upon using iterative time‐reversal. From a mathematical perspective, iterative time reversal is akin to the power method of extracting eigenvectors of the scattering operator. As such, standard iterative time‐reversal inherits the limitations of the power method. For example, iterative time‐reversal converges slowly in the presence of multiple scatterers of similar strength and has difficulty identifying weaker scatterers. On the other hand, Lanczos iterations surmount these difficulties, and tend to converge faster than the power method, even when the latter works well. In this contribution we show how Lanczos iterations can be adapted to time‐reversal iteration. This allows the strongest eigenvectors of the scattering operator to be measured with greater accuracy and in many few...
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
