• Login
    View Item 
    •   Home
    • UA Faculty Research
    • UA Faculty Publications
    • View Item
    •   Home
    • UA Faculty Research
    • UA Faculty Publications
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of UA Campus RepositoryCommunitiesTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournalThis CollectionTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournal

    My Account

    LoginRegister

    About

    AboutUA Faculty PublicationsUA DissertationsUA Master's ThesesUA Honors ThesesUA PressUA YearbooksUA CatalogsUA Libraries

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    A Dissipative Time Reversal Technique for Photoacoustic Tomography in a Cavity

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    15m1049683.pdf
    Size:
    654.8Kb
    Format:
    PDF
    Description:
    FInal Published Version
    Download
    Author
    Nguyen, Linh V.
    Kunyansky, Leonid A.
    Affiliation
    Univ Arizona, Dept Math
    Issue Date
    2016-01
    Keywords
    photoacoustic tomography
    thermoacoustic tomography
    time reversal
    cavity
    geometric control condition
    
    Metadata
    Show full item record
    Publisher
    SIAM PUBLICATIONS
    Citation
    A Dissipative Time Reversal Technique for Photoacoustic Tomography in a Cavity 2016, 9 (2):748 SIAM Journal on Imaging Sciences
    Journal
    SIAM Journal on Imaging Sciences
    Rights
    © 2016, Society for Industrial and Applied Mathematics
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    Abstract
    We consider the inverse source problem arising in thermo-and photoacoustic tomography. It consists in reconstructing the initial pressure from the boundary measurements of the acoustic wave. Our goal is to extend versatile time reversal techniques to the case when the boundary of the domain is perfectly reflecting, effectively turning the domain into a reverberant cavity. Standard time reversal works only if the solution of the direct problem decays in time, which does not happen in the setup we consider. We thus propose a novel time reversal technique with a nonstandard boundary condition. The error induced by this time reversal technique satisfies the wave equation with a dissipative boundary condition and, therefore, decays in time. For larger measurement times, this method yields a close approximation; for smaller times, the first approximation can be iteratively refined, resulting in a convergent Neumann series for the approximation.
    ISSN
    1936-4954
    DOI
    10.1137/15M1049683
    Version
    Final published version
    Sponsors
    NSF/DMS award [1212125, 1211521]
    Additional Links
    http://epubs.siam.org/doi/10.1137/15M1049683
    ae974a485f413a2113503eed53cd6c53
    10.1137/15M1049683
    Scopus Count
    Collections
    UA Faculty Publications

    entitlement

     
    The University of Arizona Libraries | 1510 E. University Blvd. | Tucson, AZ 85721-0055
    Tel 520-621-6442 | repository@u.library.arizona.edu
    DSpace software copyright © 2002-2017  DuraSpace
    Quick Guide | Contact Us | Send Feedback
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.