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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 10 — Oct. 1, 2006
  • pp: 2566–2577

Inverse scattering from phaseless measurements of the total field on open lines

Ovidio Mario Bucci, Lorenzo Crocco, Michele D'Urso, and Tommaso Isernia  »View Author Affiliations

JOSA A, Vol. 23, Issue 10, pp. 2566-2577 (2006)

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A new solution approach to inverse scattering from aspect-limited phaseless measurements of the total field is introduced and discussed. In analogy with the case of measurements on closed curves [J. Opt. Soc. Am. A21, 622 (2004)], the procedure splits the problem into two different steps. In the first step, amplitude and phase of the scattered field are estimated from only amplitude information of the total field. By properly extending the concept of reduced radiated field to the case of scattered fields (as a function of both illumination and measurement variables) and taking advantage of the properties of the square amplitude distribution of the total field, criteria are given for an optimal choice of the measurement setup and a successful retrieval. Then the complex permittivity profile is reconstructed in the second step, starting from the scattered fields estimated in the previous step. Numerical examples are provided to assess the effectiveness of the whole chain in the presence of noise-corrupted data and the relevance of the representation introduced for the scattered fields.

© 2006 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(100.6950) Image processing : Tomographic image processing
(290.3200) Scattering : Inverse scattering

ToC Category:

Original Manuscript: February 27, 2006
Manuscript Accepted: April 13, 2006

Ovidio Mario Bucci, Lorenzo Crocco, Michele D'Urso, and Tommaso Isernia, "Inverse scattering from phaseless measurements of the total field on open lines," J. Opt. Soc. Am. A 23, 2566-2577 (2006)

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