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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

  • Vol. 6, Iss. 8 — Aug. 1, 1989
  • pp: 1165–1167

Source sampling for incoherent imaging and spatial filtering

Joseph van der Gracht and William T. Rhodes  »View Author Affiliations


JOSA A, Vol. 6, Issue 8, pp. 1165-1167 (1989)
http://dx.doi.org/10.1364/JOSAA.6.001165


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Abstract

Incoherent imaging and spatial filtering systems may use illumination sources that are effectively periodic and discrete spatially (e.g., light-emitting-diode arrays or cathode-ray-tube rasters). We show that, despite the noncontinuous nature of such sources, linear-in-intensity imaging can, under certain conditions, be obtained. We model the source as a sampled continuous distribution and use Fourier optics methods to obtain a sampling condition that specifies the minimum permissible spacing between source points. This minimum spacing depends on the reciprocal of the smaller of the width of the object and the width of the imaging system’s coherent point-spread function. Relatively coarse sampling in the source plane is permitted in many cases of practical interest. We provide additional physical insight by examining the distributions (wave-amplitude distributions and transmittance function) in the pupil plane of the system.

© 1989 Optical Society of America

History
Original Manuscript: November 10, 1988
Manuscript Accepted: April 3, 1989
Published: August 1, 1989

Citation
Joseph van der Gracht and William T. Rhodes, "Source sampling for incoherent imaging and spatial filtering," J. Opt. Soc. Am. A 6, 1165-1167 (1989)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-6-8-1165


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References

  1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  2. H. Bartelt, S. K. Case, R. Hauck, “Incoherent optical processing,” in Applications of Optical Fourier Transforms, H. Stark, ed. (Academic, New York, 1982), pp. 509–510.
  3. N. Brousseau, H. H. Arsenault, “Les effets causes par les dimensions de la source dans les systemes optiques eclaires en lumiere spatialement incoherente,” Opt. Commun. 15, 389–391 (1975). [CrossRef]
  4. R. E. Swing, “Conditions for microdensitometer linearity,”J. Opt. Soc. Am. 62, 199–207 (1972). [CrossRef]
  5. P. Chavel, S. Lowenthal, “A method of incoherent optical-image processing using synthetic holograms,”J. Opt. Soc. Am. 66, 14–23 (1976). [CrossRef]
  6. D. Slepian, “On bandwidth,” Proc. IEEE 64, 292–300 (1976). [CrossRef]
  7. G. L. Rogers, Noncoherent Optical Processing (Wiley, New York, 1977).
  8. B. E. A. Saleh, M. Rabbani, “Simulation of partially coherent imagery in the space and frequency domains and by modal expansion,” Appl. Opt. 21, 2770–2777 (1982). [CrossRef] [PubMed]

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