Equations to design an aplanatic catadioptric freeform optical system

Equations to design an aplanatic catadioptric freeform optical system

The present paper introduces a set of equations to design an aplanatic catadioptric freeform optical system. These equations form a partial differential equation system, in which a numerical solution defines the first and last surfaces of the catadioptric freeform optical system, composed of an arbi...

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Veröffentlicht in:Applied optics (2004) 2023-09, Vol.62 (27), p.7226-7232
1. Verfasser: González-Acuña, Rafael G.
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Design optimization
Mathematical analysis
Partial differential equations
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description The present paper introduces a set of equations to design an aplanatic catadioptric freeform optical system. These equations form a partial differential equation system, in which a numerical solution defines the first and last surfaces of the catadioptric freeform optical system, composed of an arbitrary number of reflective/refractive surfaces with arbitrary shapes and orientations. The solution of the equation can serve as an initial setup of a more complex design that can be optimized. An illustrative example is presented to show the methodology introduced in this paper.
doi_str_mv 10.1364/AO.500031
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subjects Design optimization
Mathematical analysis
Partial differential equations
title Equations to design an aplanatic catadioptric freeform optical system
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