QC 351 A7 no. 34 / Despite its necessarily finite aperture, an optical system can theoretically be coated to produce arbitrarily perfect imagery over a limited
field. When the object is of limited extent, this field can be made the optical conjugate to the object, so that the whole object is imaged with arbitrary precision.
The required pupil coating approximates low- contrast cosine fringes
over its central region; toward the aperture edge the frequency and amplitude
rapidly accelerate. The maximum occurs as a narrow spike.
The frequency near the central region varies directly with the total
extent of the conjugate field and inversely with the required central core
width A in the point amplitude response. As t is made arbitrarily narrow,
the point amplitude response approaches the form of a sinc function over the
field of view. This function is precisely the point amplitude for a diffraction-limited pupil with a magnified aperture of 1/A times the given pupil
aperture! The only image property that is not in compliance with this effective aperture magnification is that of total illumination. This is severely
reduced from that of the original, uncoated aperture, and is the major restriction on practical use of the derived pupil.
Applications to microscopy and telescopy are discussed.
| Identifer | oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/621629 |
| Date | 15 January 1969 |
| 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 34 |
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