THEORETICAL AND NUMERICAL RESULTS ON SCATTERING FROM SOFT CYLINDERS WITH IMPLICATIONS IN DIFFRACTION TOMOGRAPHY.

M. Soumekh; M. Kaveh; B. Soumekh

doi:10.1007/978-1-4613-2523-9_86

THEORETICAL AND NUMERICAL RESULTS ON SCATTERING FROM SOFT CYLINDERS WITH IMPLICATIONS IN DIFFRACTION TOMOGRAPHY.

M. Soumekh
, M. Kaveh
, B. Soumekh

Department of Electrical Engineering

Worcester Polytechnic Institute

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

Over the past few years we have demonstrated the merits of diffraction tomography based on the Born and Rytov transformation using soft cylinders. In this paper we take a different perspective on the character of diffraction tomography methods. We compare the wavenumber spectra of the scattered waves based on the exact solution and on the Born approximation as a function of test cylinder parameters. We use these results to justify an approximate theoretical model for analyzing the magnitude of the model-based errors in the Born and Rytov reconstructed tomograms. Moreover, the study indicates the rapid breakdown of the Born method with increase in the cylinder parameters.

Original language	English
Title of host publication	Acoustical Imaging
Subtitle of host publication	Proceedings of the International Symposium
Publisher	Plenum Press
Pages	741-745
Number of pages	5
ISBN (Print)	0306420945, 9780306420948
DOIs	https://doi.org/10.1007/978-1-4613-2523-9_86
State	Published - 1985

Publication series

Name	Acoustical Imaging: Proceedings of the International Symposium
Volume	14
ISSN (Print)	0270-5117

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10.1007/978-1-4613-2523-9_86

Cite this

Soumekh, M., Kaveh, M., & Soumekh, B. (1985). THEORETICAL AND NUMERICAL RESULTS ON SCATTERING FROM SOFT CYLINDERS WITH IMPLICATIONS IN DIFFRACTION TOMOGRAPHY. In Acoustical Imaging: Proceedings of the International Symposium (pp. 741-745). (Acoustical Imaging: Proceedings of the International Symposium; Vol. 14). Plenum Press. https://doi.org/10.1007/978-1-4613-2523-9_86

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abstract = "Over the past few years we have demonstrated the merits of diffraction tomography based on the Born and Rytov transformation using soft cylinders. In this paper we take a different perspective on the character of diffraction tomography methods. We compare the wavenumber spectra of the scattered waves based on the exact solution and on the Born approximation as a function of test cylinder parameters. We use these results to justify an approximate theoretical model for analyzing the magnitude of the model-based errors in the Born and Rytov reconstructed tomograms. Moreover, the study indicates the rapid breakdown of the Born method with increase in the cylinder parameters.",

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THEORETICAL AND NUMERICAL RESULTS ON SCATTERING FROM SOFT CYLINDERS WITH IMPLICATIONS IN DIFFRACTION TOMOGRAPHY. / Soumekh, M.; Kaveh, M.; Soumekh, B.
Acoustical Imaging: Proceedings of the International Symposium. Plenum Press, 1985. p. 741-745 (Acoustical Imaging: Proceedings of the International Symposium; Vol. 14).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - Over the past few years we have demonstrated the merits of diffraction tomography based on the Born and Rytov transformation using soft cylinders. In this paper we take a different perspective on the character of diffraction tomography methods. We compare the wavenumber spectra of the scattered waves based on the exact solution and on the Born approximation as a function of test cylinder parameters. We use these results to justify an approximate theoretical model for analyzing the magnitude of the model-based errors in the Born and Rytov reconstructed tomograms. Moreover, the study indicates the rapid breakdown of the Born method with increase in the cylinder parameters.

AB - Over the past few years we have demonstrated the merits of diffraction tomography based on the Born and Rytov transformation using soft cylinders. In this paper we take a different perspective on the character of diffraction tomography methods. We compare the wavenumber spectra of the scattered waves based on the exact solution and on the Born approximation as a function of test cylinder parameters. We use these results to justify an approximate theoretical model for analyzing the magnitude of the model-based errors in the Born and Rytov reconstructed tomograms. Moreover, the study indicates the rapid breakdown of the Born method with increase in the cylinder parameters.

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THEORETICAL AND NUMERICAL RESULTS ON SCATTERING FROM SOFT CYLINDERS WITH IMPLICATIONS IN DIFFRACTION TOMOGRAPHY.

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