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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 12 — Apr. 20, 1998
  • pp: 2357–2360

Recovery of the refractive-index profile from the wigner distribution of an optical waveguide

Daniela Dragoman, Mircea Dragoman, and Jean-Pierre Meunier  »View Author Affiliations


Applied Optics, Vol. 37, Issue 12, pp. 2357-2360 (1998)
http://dx.doi.org/10.1364/AO.37.002357


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Abstract

We propose a new method for the recovery of the refractive-index profile of a single-mode or multimode optical guided structure. We solve the inverse problem using the Wigner distribution and reduce it to the solution of a linear system of equations.

© 1998 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(100.3190) Image processing : Inverse problems
(130.0130) Integrated optics : Integrated optics
(230.7370) Optical devices : Waveguides

History
Original Manuscript: March 28, 1997
Revised Manuscript: July 23, 1997
Published: April 20, 1998

Citation
Daniela Dragoman, Mircea Dragoman, and Jean-Pierre Meunier, "Recovery of the refractive-index profile from the wigner distribution of an optical waveguide," Appl. Opt. 37, 2357-2360 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-12-2357


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References

  1. S. I. Hosain, J. P. Meunier, E. Bourillot, F. De Fornel, J. P. Goudonnet, “Review of the basic methods for characterizing integrated-optic waveguides,” Fiber Integr. Opt. 14, 89–107 (1995). [CrossRef]
  2. D. Dragoman, M. Dragoman, “Integrated optic-devices characterization with the Wigner transform,” IEEE J. Sel. Top. Quantum Electron. 2, 181–186 (1996). [CrossRef]
  3. H. O. Bartelt, K. H. Brenner, A. W. Lohmann, “The Wigner distribution function and its optical production,” Opt. Commun. 32, 32–38 (1980). [CrossRef]
  4. H. Weber, “Wave optical analysis of the phase space analyzer,” J. Mod. Opt. 39, 543–559 (1992). [CrossRef]
  5. M. Conner, Y. Li, “Optical generation of the Wigner distribution of 2-D real signals,” Appl. Opt. 24, 3825–3829 (1985). [CrossRef] [PubMed]
  6. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983), Chap. 12.
  7. D. Dragoman, “Wigner distribution function in nonlinear optics,” Appl. Opt. 35, 4142–4146 (1996). [CrossRef] [PubMed]

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