QC 351 A7 no. 18 / This paper derives a method for digitally reconstructing any two-dimensional, partially coherent, polychromatic object from experimental knowledge
of the image and point spread function.
In the absence of noise, the reconstruction is perfect. The object must
lie wholly within a known region of the object plane. The optics may be generally coated and tilted, and may be aberrated to any extent.
As an illustration, the reconstruction process is applied to the problem
of resolving double stars. The reconstruction scheme is also used to correct
the output of a conventional spectrometer for instrument broadening, and to
correct the output of a Fourier -transform spectroscope for finite extent of
the interferogram. Practical use of the method requires the calculation of
prolate spheroidal wavefunctions and eigenvalues.
The effect of noise upon the accuracy of reconstruction is analytically
computed. It is shown that periodic noise and piecewise-continuous noise
both cause zero error at all points in the reconstruction, except at the sampling points, where the error is theoretically infinite. Bandwidth -limited
noise is shown to be indistinguishable from the object.
| Identifer | oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/621611 |
| Date | 16 June 1967 |
| Creators | Frieden, B. Roy |
| Publisher | Optical Sciences Center, University of Arizona (Tucson, Arizona) |
| Source Sets | University of Arizona |
| Language | en_US |
| Detected Language | English |
| Type | Technical Report |
| Rights | Copyright © Arizona Board of Regents |
| Relation | Optical Sciences Technical Report 18 |
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