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Optics Letters

Optics Letters


  • Vol. 20, Iss. 10 — May. 15, 1995
  • pp: 1181–1183

Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms

D. F. McAlister, M. Beck, L. Clarke, A. Mayer, and M. G. Raymer  »View Author Affiliations

Optics Letters, Vol. 20, Issue 10, pp. 1181-1183 (1995)

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Phase-space tomography is experimentally demonstrated for the determination of the spatially varying amplitude and phase of a quasi-monochromatic optical field by measurements of intensity only. Both fully and partially coherent sources are characterized. The method, which makes use of the fractional-order Fourier transform, also yields the Wigner distribution of the field and works in one or two dimensions.

© 1995 Optical Society of America

Original Manuscript: December 19, 1994
Published: May 15, 1995

D. F. McAlister, M. Beck, L. Clarke, A. Mayer, and M. G. Raymer, "Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms," Opt. Lett. 20, 1181-1183 (1995)

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  1. J. R. Fienup, Appl. Opt. 21, 2758 (1982). [CrossRef] [PubMed]
  2. K. Creath, in Progress in Optics XXVI, E. Wolf, ed. (Elsevier, Amsterdam, 1988), p. 349. [CrossRef]
  3. M. G. Raymer, M. Beck, D. F. McAlister, Phys. Rev. Lett. 72, 1137 (1994)Quantum Optics VI, D. F. Walls, J. D. Harvey, eds. (Springer-Verlag, Berlin, 1994), p. 245. [CrossRef] [PubMed]
  4. M. Beck, M. G. Raymer, I. A. Walmsley, V. Wong, Opt. Lett. 18, 2041 (1993)D. T. Smithey, M. Beck, M. G. Raymer, A. Faridani, Phys. Rev. Lett. 70, 1244 (1993) [CrossRef] [PubMed]
  5. N. Streibl, Opt. Commun. 49, 6 (1984); K. Ichikawa, A. W. Lohmann, M. Takeda, Appl. Opt. 27, 3433 (1988). [CrossRef] [PubMed]
  6. D. Kohler, L. Mandel, J. Opt. Soc. Am. 63, 126 (1972). [CrossRef]
  7. K.-H. Brenner, A. W. Lohmann, Opt. Commun. 42, 310 (1982). [CrossRef]
  8. D. F. McAlister, M. Beck, M. G. Raymer, presented at the Annual Meeting of the Optical Society of America, Dallas, Tex., October 2–7, 1994.
  9. M. Hillery, R. F. O’Connel, M. O. Scully, E. P. Wigner, Phys. Rep. 106, 121 (1984)M. J. Bastiaans, J. Opt. Soc. Am. A 3, 1227 (1986). [CrossRef]
  10. V. Namias, J. Inst. Math. Appl. 25, 241 (1980); H. M. Ozaktas, B. Barshan, D. Mendlovic, L. Onural, J. Opt. Soc. Am. A 11, 547 (1994); A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993). [CrossRef]
  11. J. Bertrand, P. Bertrand, Found. Phys. 17, 397 (1987)P. Bertrand, J. Bertrand, Reck. Aerosp. 5, 277 (1985) [CrossRef]
  12. G. T. Herman, Image Reconstruction From Projections: The Fundamentals of Computerized Tomography (Academic, New York, 1980), p. 279.
  13. B. Eppich, N. Reng, presented at the Laser Beam Control, Diagnostics, and Standards Conference, San Jose, Calif., February 6–7, 1995.

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