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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: 1083–1089

Profile reconstruction of periodic interface

Petr Melezhik, Anatoliy Poyedinchuk, Nataliya Yashina, and Gérard Granet  »View Author Affiliations


JOSA A, Vol. 31, Issue 5, pp. 1083-1089 (2014)
http://dx.doi.org/10.1364/JOSAA.31.001083


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Abstract

The reconstruction problem for periodic (arbitrary profiled within a period) boundary between two homogeneous media is considered. Our approach to the solution of the inverse problem is based on the Tikhonov regularization technique, which requires successive selection of the boundaries on the basis of multiple solutions of the direct problem of wave diffraction by the candidate boundaries. The analytical numerical C method has been chosen as a simple but rather efficient tool for the direct problem solving. The scheme for numerical tests of algorithms and criteria for reconstruction accuracy have been suggested and verified. Results of numerical experiments that prove the validity of the approach are presented.

© 2014 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(050.1950) Diffraction and gratings : Diffraction gratings
(050.2770) Diffraction and gratings : Gratings
(100.3190) Image processing : Inverse problems
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: December 27, 2013
Revised Manuscript: March 19, 2014
Manuscript Accepted: March 20, 2014
Published: April 21, 2014

Citation
Petr Melezhik, Anatoliy Poyedinchuk, Nataliya Yashina, and Gérard Granet, "Profile reconstruction of periodic interface," J. Opt. Soc. Am. A 31, 1083-1089 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-5-1083

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