Mathematics – Probability
Scientific paper
Mar 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977josa...67..396s&link_type=abstract
Optical Society of America, Journal, vol. 67, Mar. 1977, p. 396-399.
Mathematics
Probability
7
Aberration, Irradiance, Maximum Likelihood Estimates, Optical Measurement, Pupils, Wave Fronts, Interferometry, Lens Design, Phase Shift
Scientific paper
A method for measuring phase aberrations in the pupil plane of an optical system is presented which uses the image formed by a lens but does not require phase dithering. This method is based on the assertion that the pupil-plane phase distribution can be determined directly from the image irradiance and employs the unique relationship between the pupil phase distribution with a known amplitude distribution and its image irradiance distribution. By assuming that irradiance measurements contain noise and are represented as random variables, the pupil phase information is extracted from the noisy measurements by determining that phase distribution has the highest probability of producing the measurements. Results are given for numerical computer simulations illustrating application of the method to spread functions with large aberrations and to irradiance measurements containing noise. Some possible limitations on the procedure are noted.
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