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Applied Optics

Applied Optics


  • Vol. 25, Iss. 12 — Jun. 15, 1986
  • pp: 2003–2007

Two-pupil synthesis of optical transfer functions: 2: Pupil function relationships

Joseph N. Mait and William T. Rhodes  »View Author Affiliations

Applied Optics, Vol. 25, Issue 12, pp. 2003-2007 (1986)

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Although different methods have been proposed for realizing bipolar point spread functions in hybrid two-channel incoherent spatial filtering systems, each method relies either on interference or noninterference between the two channels to achieve the desired synthesis. It is shown that the pupil functions appropriate for synthesis in these two regimes are related through a linear transformation. Furthermore, the pupil functions appropriate for a noninteractive synthesis can be used to specify pupil functions appropriate for any other synthesis.

© 1986 Optical Society of America

Original Manuscript: December 5, 1985
Published: June 15, 1986

Joseph N. Mait and William T. Rhodes, "Two-pupil synthesis of optical transfer functions: 2: Pupil function relationships," Appl. Opt. 25, 2003-2007 (1986)

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  1. P. Chavel, “A Method of Linear Image Processing with Synthetic Holograms using Spatially Incoherent Light,” in 1975 International Optical Conference (IEEE, New York, 1975), pp. 145–149.
  2. P. Chavel, S. Lowenthal, “Incoherent Optical-Image Processing Using Synthetic Holograms,” J. Opt. Soc. Am. 66, 14 (1976). [CrossRef]
  3. D. Gorlitz, F. Lanzl, “Methods of Zero-Order Non-Coherent Filtering,” Opt. Commun. 20, 68 (1977). [CrossRef]
  4. B. Braunecker, R. Hauck, “Grey Level on Axis Computer Holograms for Incoherent Image Processing,” Opt. Commun. 20, 234 (1977). [CrossRef]
  5. W. T. Rhodes, “Noncoherent Optical Processing with Two-Pupil Hybrid Systems,” Proc. Soc. Photo-Opt. Instrum. Eng. in Optical Signal and Image Processing, D. Casasent, ed., 118, 86 (1977).
  6. P. Chavel, S. Lowenthal, “Implementation of an Incoherent Optical Image Restoration Method: Limitations Related to Optical Subtraction,” Appl. Opt. 20, 1438 (1981). [CrossRef] [PubMed]
  7. A. Kozma, N. Massey, “Bias Level Reduction of Incoherent Holograms,” Appl. Opt. 8, 393 (1969). [CrossRef] [PubMed]
  8. W. T. Rhodes, “Temporal Frequency Carriers in Noncoherent Optical Processing,” in 1978 International Optical Computing Conference (IEEE, New York, 1978), pp. 163–168.
  9. A. W. Lohmann, “Incoherent Optical Processing of Complex Data,” Appl. Opt. 16, 261 (1977). [CrossRef] [PubMed]
  10. W. Stoner, “Edge Enhancement with Incoherent Optics,” Appl. Opt. 16, 1451 (1977). [CrossRef] [PubMed]
  11. W. Stoner, “Incoherent Optical Processing via Spatially Offset Pupil Masks,” Appl. Opt. 17, 2454 (1978). [CrossRef] [PubMed]
  12. W. T. Rhodes, “Phase-Switching Synthesis of Arbitrary Optical Transfer Functions,” in 1976 International Optical Computing Conference (IEEE, New York, 1976), pp. 62–64.
  13. W. T. Rhodes, “Bipolar Pointspread Function Synthesis by Phase Switching,” Appl. Opt. 16, 265 (1977). [CrossRef] [PubMed]
  14. A. W. Lohmann, W. T. Rhodes, “Two-Pupil Synthesis of Optical Transfer Functions,” Appl. Opt. 17, 1141 (1978). [CrossRef] [PubMed]
  15. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  16. B. Braunecker, R. Hauck, A. W. Lohmann, “Optical Character Recognition Based on Nonredundant Correlation Measurements,” Appl. Opt. 18, 2746 (1979). [CrossRef] [PubMed]
  17. D. Gorlitz, F. Lanzl, “Colour Encoded Aperture Masks used for Incoherent Filtering of Images,” Opt. Commun. 28, 283 (1979). [CrossRef]
  18. J. N. Mait, “Pupil Function Optimization for Bipolar Incoherent Spatial Filtering,” Ph.D. Dissertation Georgia Institute of Technology, Atlanta (June1985).

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