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Applied Optics

Applied Optics


  • Vol. 24, Iss. 22 — Nov. 15, 1985
  • pp: 3825–3829

Optical generation of the Wigner distribution of 2-D real signals

Michael Conner and Yao Li  »View Author Affiliations

Applied Optics, Vol. 24, Issue 22, pp. 3825-3829 (1985)

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New techniques as well as extensions to existing techniques for the optical production of 2-D Wigner distributions are presented. Our investigation starts with a straightforward technique involving a pair of relay lenses and a Fourier transform lens. Then we explore a second technique requiring only one lens and a rotational capability. We also present a technique for display of a single frequency variable vs a single spatial variable. Finally, we discuss a dual-channel display technique in which two different sections of the Wigner distribution are displayed simultaneously.

© 1985 Optical Society of America

Original Manuscript: December 17, 1984
Published: November 15, 1985

Michael Conner and Yao Li, "Optical generation of the Wigner distribution of 2-D real signals," Appl. Opt. 24, 3825-3829 (1985)

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  1. E. Wigner, “On the Quantum Correction for Thermodynamic Equilibrium,” Phys. Rev. 40, 749 (1932). [CrossRef]
  2. M. J. Bastiaans, “The Wigner Distribution Function Applied to Optical Signals and Systems,” Opt. Commun. 25, 26 (1978). [CrossRef]
  3. M. J. Bastiaans, “The Wigner Distribution Function and Hamilton’s Characteristics of a Geometrical Optical System,” Opt. Commun. 30, 321 (1979). [CrossRef]
  4. J. Z. Jiao, B. Wang, H. Liu, “Wigner Distribution Function and Optical Geometrical Transformation,” Appl. Opt. 23, 1249 (1984). [CrossRef] [PubMed]
  5. K. H. Brenner, J. O. Castaneda, “Ambiguity Function and Wigner Distribution Function Applied to Partially Coherent Imagery,” Opt. Acta 31, 213 (1984). [CrossRef]
  6. M. I. Skolnik, Radar Handbook (McGraw-Hill, New York, 1970).
  7. L. Jacobson, H. Wechsler, “The Wigner Distribution As a Tool for Deriving an Invariant Representation of 2-D Images,” in Proceedings, PRIP82IEEE Computer Society Conference on Pattern Recognition and Image Processing, Las Vegas, Nev.14–17 June, 218 (1982).
  8. K. H. Brenner, H. O. Bartelt, A. W. Lohmann, “The Wigner Distribution Function and its Optical Production,” Opt. Commun. 42, 32 (1982).
  9. M. J. Bastiaans, “Wigner Distribution Function Display: A Supplement to Ambiguity Function Display Using a Single 1-D Input,” Appl. Opt. 19, 192 (1980). [CrossRef] [PubMed]
  10. R. J. Marks, J. F. Walkup, T. F. Krile, “Ambiguity Function Display: An Improved Coherent Processor,” Appl. Opt. 16, 746 (1977). [CrossRef]
  11. G. Eichmann, B. Z. Dong, “Two-Dimensional Optical Filtering of 1-D Signals,” Appl. Opt. 21, 3152 (1982). [CrossRef] [PubMed]
  12. R. Bamler, H. Glunder, “Coherent-Optical Generation of the Wigner Distribution Function of Real-Valued 2D Signals,” in Proceedings, International Conference on Optical Computing, Cambridge, Mass. (1983).
  13. T. A. C. M. Claasen, W. F. G. Mechlenbrauker, “The Wigner Distribution—A Tool for Time-Frequency Signal Analysis, Part I: Continuous Time Signals,” Philips J. Res. 35, 217 (1980).
  14. H. H. Szu, J. A. Blodgett, “Wigner Distribution and Ambiguity Function,” in Optics in Four Dimensions-1980, AIP Conf. Proc. 65, 292 (1981).
  15. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  16. L. P. Boivin, “Multiple Imaging Using Various Types of Simple Phase Gratings,” Appl. Opt. 11, 1782 (1972). [CrossRef] [PubMed]
  17. F. T. S. Yu, M. S. Dymek, “Optical Information Parallel Processing: A Technique,” Appl. Opt. 20, 1450 (1981). [CrossRef] [PubMed]
  18. A. M. Tai, F. T. S. Yu, “Synchronous Dual-Channel Optical Spectrum Analyzer,” Appl. Opt. 18, 1297 (1979). [CrossRef] [PubMed]

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