NDLI: Quantitative imaging with eigenfunctions of the scattering operator

Content Provider	IEEE Xplore Digital Library
Author	Mast, T.D. Nachman, A.I. Dong-Lai Liu Waag, R.C.
Copyright Year	1997
Description	Author affiliation: Appl. Res. Lab., Pennsylvania State Univ., University Park, PA, USA (Mast, T.D.)
Abstract	An inverse scattering method that uses eigenfunctions of the scattering operator is described. This approach provides a unified framework that encompasses eigenfunction methods of focusing and quantitative image reconstruction in arbitrary media. Scattered acoustic fields are expressed using a compact, normal operator. The eigenfunctions of this operator correspond to the far-field patterns of source distributions that are directly proportional to the position-dependent contrast of a scattering object. The eigenfunctions also constitute a basis of an operator that is essentially equivalent to the time-reversal operator previously defined by others. Incident wave patterns specified by these eigenfunctions are used in a method that employs products of numerically calculated fields of the eigenfunctions to represent an unknown scattering medium. Analytic reconstruction formulas are derived both for the linearized inverse scattering problem and for the nonlinear problem in which the total acoustic pressure within the medium can be estimated. A modified eigenfunction imaging method that allows efficient reconstructions of large inhomogeneities is also presented. The methods are applied to obtain quantitative images of various scattering objects that span regions large compared to the wavelength of the acoustic illumination. The eigenfunction method is compared to the method of filtered backpropagation implemented by numerical quadrature and to Fourier inversion implemented by fast Fourier transformation. The results show the capability of the eigenfunction method to image objects with large ka. The results show the eigenfunction method is more efficient than the backpropagation method and can also be more efficient than Fourier inversion when the scattering operator has few eigenvalues.
Starting Page	1507
Ending Page	1510
File Size	313608
Page Count	4
File Format	PDF
ISBN	0780341538
ISSN	10510117
DOI	10.1109/ULTSYM.1997.661862
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1997-10-05
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Eigenvalues and eigenfunctions Acoustic scattering Image reconstruction Acoustic imaging Inverse problems Backpropagation Focusing Nonlinear acoustics Acoustic waves Lighting
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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