Abstract

Let our observations on an arbitrary L₂-space optical object f(x) consist of its low-pass spectrum and its truncated image, i.e., F(ω)rect(ω/2b) and f(x)rect(x/a), respectively. Can f(x) be restored from the given data? We show that, in general, such a restoration is not possible.

© 1981 Optical Society of America

Restoration of arbitrary finite-energy optical objects from limited spatial and spectral information

H. Stark, D. Cahana, and H. Webb
J. Opt. Soc. Am. 71(6) 635-642 (1981)

Closed-form object restoration from limited spatial and spectral information

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Proposal for holographic imaging through phase-distorting media without alignment

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Generalized intensity self-imaging

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