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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. 30, Iss. 11 — Nov. 1, 2013
  • pp: 2266–2272

Role of diversity on the singular values of linear scattering operators: the case of strip objects

Raffaele Solimene, Maria Antonia Maisto, and Rocco Pierri  »View Author Affiliations


JOSA A, Vol. 30, Issue 11, pp. 2266-2272 (2013)
http://dx.doi.org/10.1364/JOSAA.30.002266


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Abstract

The singular value decomposition of the far-zone scattering operator for weak strip-like scattering objects is studied under multiple view and/or multiple frequency illuminations. The aim is to highlight how such diversities impact the number of degrees of freedom (NDF) of the scattering problem. When the angles of incidence and/or frequencies vary within discrete finite sets, the singular values are analytically determined. It is shown that they exhibit a multistep behavior. For the continuous case, upper and lower bounds are found, which allows us to obtain estimations for the NDF dependending on the parameters of the configuration.

© 2013 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(290.3200) Scattering : Inverse scattering
(350.7420) Other areas of optics : Waves
(100.3200) Image processing : Inverse scattering

ToC Category:
Image Processing

History
Original Manuscript: June 5, 2013
Revised Manuscript: September 1, 2013
Manuscript Accepted: September 19, 2013
Published: October 11, 2013

Citation
Raffaele Solimene, Maria Antonia Maisto, and Rocco Pierri, "Role of diversity on the singular values of linear scattering operators: the case of strip objects," J. Opt. Soc. Am. A 30, 2266-2272 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-11-2266

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