Bounds On Intensity Functions From Fourier Transform Samples

Thomas L. Marzetta; Stephen W. Lang

doi:10.1117/12.935851

22 September 1983 Bounds On Intensity Functions From Fourier Transform Samples

Thomas L. Marzetta, Stephen W. Lang

Proceedings Volume 0413, Inverse Optics I; (1983) https://doi.org/10.1117/12.935851
Event: 1983 Technical Symposium East, 1983, Arlington, United States

Abstract

This paper considers the problem of determining an intensity function given a finite set of discrete samples of its Fourier transform. The problem is inherently illposed since there are an infinite number of different intensity functions consistent with the given Fourier transform samples. A more reasonable problem is to infer some linear functional of the intensity function, for example the integral of the intensity function over some subset of its support. Although this quantity cannot be deter-mined exactly, nontrivial upper and lower bounds on its possible values can be determined.

Citation Download Citation

Thomas L. Marzetta and Stephen W. Lang "Bounds On Intensity Functions From Fourier Transform Samples", Proc. SPIE 0413, Inverse Optics I, (22 September 1983); https://doi.org/10.1117/12.935851

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