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Appl Opt. 2011 Jan 1;50(1):66-73. doi: 10.1364/AO.50.000066.

Geometric theory of wavefront aberrations in an off-axis spherical mirror.

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  • 1Centro de Investigaciones en Óptica A.C, Loma del Bosque 115, C.P. 37000, León, Guanajuato, México.


We present, analyze, and evaluate expressions for the wavefront aberrations in an off-axis spherical mirror. These formulas are derived from the optical path difference between an ellipsoid and a sphere, assuming a relatively small pupil and a small angle of incidence, as will be described in detail. Some well-known and also some useful new aberration expressions are obtained. They can be used to design and analyze cavities, spectrographs, and retinal adaptive optics imaging systems.

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