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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. 29, Iss. 4 — Apr. 1, 2012
  • pp: 617–626

Compressive imaging of subwavelength structures: periodic rough surfaces

Albert Fannjiang and Hsiao-Chieh Tseng  »View Author Affiliations


JOSA A, Vol. 29, Issue 4, pp. 617-626 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000617


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Abstract

A compressed sensing scheme for near-field imaging of corrugations of relative sparse Fourier components is proposed. The scheme employs random sparse measurement of near field to recover the angular spectrum of the scattered field. Surprisingly, it can be shown heuristically and numerically that under the Rayleigh hypothesis the angular spectrum is compressible and amenable to compressed sensing techniques. Iteration schemes are developed for recovering the surface profile from the angular spectrum. The proposed nonlinear least squares in the Fourier basis produces accurate reconstructions even when the Rayleigh hypothesis is known to be false.

© 2012 Optical Society of America

ToC Category:
Diffraction and Gratings

History
Original Manuscript: September 1, 2011
Manuscript Accepted: November 12, 2011
Published: March 27, 2012

Citation
Albert Fannjiang and Hsiao-Chieh Tseng, "Compressive imaging of subwavelength structures: periodic rough surfaces," J. Opt. Soc. Am. A 29, 617-626 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-4-617

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