12 January 1977 Bandlimiting Considerations In Geometrical Distortion Systems
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Abstract
A scheme for realizing certain geometrical distortions in a coherent optical system has been proposed and demonstrated by Bryngdahl. This technique is described as being applicable when the object functions exhibit "relatively slow spatial variations." In this paper the notion of slowly varying object functions is examined in terms of the spatial bandwidth of these functions, thus providing a means for examining the merit of such a distortion technique. It is shown that the technique may be expected to work well at low spatial frequencies, worsening with quadratic spatial frequency dependence. The spatial frequencies at which the distortion technique fails may be readily estimated. In general, these limiting spatial frequencies depend on wavelength, separation between input and output planes, posi-tion in the output or input plane, and the particular distortion one wishes to realize.
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F. Paul Carlson, Robert E. Francois, "Bandlimiting Considerations In Geometrical Distortion Systems", Proc. SPIE 0083, Optical Information Processing: Real Time Devices & Novel Techniques, (12 January 1977); doi: 10.1117/12.954910; https://doi.org/10.1117/12.954910
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