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

Teresa, Jem and Venugopal, Mamatha and Roy, Debasish and Vasu, Ram Mohan and Kanhirodan, Rajan (2014) Diffraction tomography from intensity measurements: an evolutionary stochastic search to invert experimental data. In: JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 31 (5). pp. 996-1006.

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Official URL: http://dx.doi.org/10.1364/JOSAA.31.000996

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. (C) 2014 Optical Society of America

Item Type: Journal Article
Additional Information: copyright for this article belongs to OPTICAL SOC AMER, USA
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics
Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 13 Jun 2014 06:23
Last Modified: 13 Jun 2014 06:23
URI: http://eprints.iisc.ac.in/id/eprint/49167

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