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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 5 — May. 1, 2014
  • pp: 996–1006

Diffraction tomography from intensity measurements: an evolutionary stochastic search to invert experimental data

Jem Teresa, Mamatha Venugopal, Debasish Roy, Ram Mohan Vasu, and Rajan Kanhirodan  »View Author Affiliations


JOSA A, Vol. 31, Issue 5, pp. 996-1006 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000996


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Abstract

We develop iterative diffraction tomography algorithms, which are similar to the distorted Born algorithms, for inverting scattered intensity data. Within the Born approximation, the unknown scattered field is expressed as a multiplicative perturbation to the incident field. With this, the forward equation becomes stable, which helps us compute nearly oscillation-free solutions that have immediate bearing on the accuracy of the Jacobian computed for use in a deterministic Gauss–Newton (GN) reconstruction. However, since the data are inherently noisy and the sensitivity of measurement to refractive index away from the detectors is poor, we report a derivative-free evolutionary stochastic scheme, providing strictly additive updates in order to bridge the measurement-prediction misfit, to arrive at the refractive index distribution from intensity transport data. The superiority of the stochastic algorithm over the GN scheme for similar settings is demonstrated by the reconstruction of the refractive index profile from simulated and experimentally acquired intensity data.

© 2014 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(110.6960) Imaging systems : Tomography
(290.3200) Scattering : Inverse scattering

ToC Category:
Imaging Systems

History
Original Manuscript: December 20, 2013
Revised Manuscript: March 12, 2014
Manuscript Accepted: March 12, 2014
Published: April 9, 2014

Virtual Issues
Vol. 9, Iss. 7 Virtual Journal for Biomedical Optics

Citation
Jem Teresa, Mamatha Venugopal, Debasish Roy, Ram Mohan Vasu, and Rajan Kanhirodan, "Diffraction tomography from intensity measurements: an evolutionary stochastic search to invert experimental data," J. Opt. Soc. Am. A 31, 996-1006 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-5-996

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