Computer Science – Numerical Analysis
Scientific paper
Sep 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apopt..14.2286w&link_type=abstract
Applied Optics, vol. 14, Sept. 1975, p. 2286-2297.
Computer Science
Numerical Analysis
8
Diffraction Patterns, Error Analysis, Interferometry, Numerical Analysis, Paraboloid Mirrors, Wave Fronts, Data Processing, Feasibility Analysis, Instrument Errors, Point Sources, Spaceborne Telescopes, Wave Diffraction
Scientific paper
The diffraction theory of the Foucault test provides an integral formula expressing the complex amplitude and irradiance distribution in the Foucault pattern of a test mirror (lens) as a function of wavefront error. Recent literature presents methods of inverting this formula to express wavefront error in terms of irradiance in the Foucault pattern. The present paper describes a study in which the inversion formulation was applied to photometric Foucault-test measurements on a nearly diffraction-limited mirror to determine wavefront errors for direct comparison with ones determined from scatter-plate interferometer measurements. The results affirm the practicability of the Foucault test for quantitative wavefront analysis of very small errors, and they reveal the fallacy of the prevalent belief that the test is limited to qualitative use only. Implications of the results with regard to optical testing and the potential use of the Foucault test for wavefront analysis in orbital space telescopes are discussed.
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