Analyzing optics test data on rectangular apertures using 2-D Chebyshev polynomials

Fei Liu; Brian M. Robinson; Patrick Reardon; Joseph M. Geary

doi:10.1117/1.3569692

1 April 2011 Analyzing optics test data on rectangular apertures using 2-D Chebyshev polynomials

Fei Liu, Brian M. Robinson, Patrick Reardon, Joseph M. Geary

Author Affiliations +

Optical Engineering, Vol. 50, Issue 4, 043609 (April 2011). https://doi.org/10.1117/1.3569692

Abstract

We use the two-dimensional Chebyshev polynomials as the basis for decomposition of test data over rectangular apertures, particularly for anamorphic optics. This includes simple optics such as cylindrical lenses and mirrors as well as complex optics, such as aspheric cylindrical optics. The new basis set is strictly orthogonal over rectangles of arbitrary aspect ratio and they correspond well with the aberrations of systems containing such type of optics. An example is given that applies the new basis set to study the surface figure error of a cylindrical Schmidt corrector plate. It is not only an excellent fitting basis but also can be used to flag misalignment errors that are critical to fabrication.

©(2011) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Fei Liu, Brian M. Robinson, Patrick Reardon, and Joseph M. Geary "Analyzing optics test data on rectangular apertures using 2-D Chebyshev polynomials," Optical Engineering 50(4), 043609 (1 April 2011). https://doi.org/10.1117/1.3569692

Published: 1 April 2011

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