A single-sided representation for passive and active Green’s function retrieval, time-reversal acoustics, and holographic imaging: invited paper

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Abstract

The homogeneous Green’s function, defined as the superposition of the Green’s function and its time-reversal, plays an important role in a variety of acoustic applications, such as passive and active acoustic Green’s function retrieval, seismic interferometry, time-reversal acoustics, and holographic imaging. An exact representation of the homogeneous Green’s function originates from the field of optical holographic imaging (Porter, 1970, JOSA). In this representation, the homogeneous Green’s function between two points A and B is expressed as an integral along an arbitrary boundary enclosing A and B. This implies that the Green’s function between A and B can be retrieved from measurements carried out at a closed boundary, or, via reciprocity, from passive observations at A and B of the responses to sources on a closed boundary. In practical situations, the closed-boundary integral usually needs to be approximated by an open-boundary integral. This can lead to significant artifacts in the retrieved Green’s function. I will discuss a new, single-sided, representation of the homogeneous Green’s function, which obviates the need for omnidirectional access. Like the classical closed-boundary representation, this new single-sided representation fully accounts for multiple scattering. I will indicate applications of this new representation in the aforementioned fields.
Original languageEnglish
Title of host publicationJournal of the Acoustical Society of America
Place of PublicationUSA
PublisherAIP Publishing
Pages3472-3472
Volume141
Edition5, Pt.2
Publication statusPublished - 2017
Event3rd Joint Meeting of the Acoustical Society of America and the European Acoustics Association - Boston, United States
Duration: 25 Jun 201729 Jun 2017
Conference number: 3
http://acousticalsociety.org/content/acoustics-17-boston

Publication series

NameJournal of the Acoustical Society of America
Number5, Pt.2
Volume141
ISSN (Print)0001-4966

Conference

Conference3rd Joint Meeting of the Acoustical Society of America and the European Acoustics Association
Abbreviated titleAcoustics '17
CountryUnited States
CityBoston
Period25/06/1729/06/17
Internet address

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