Parabasal theory for plane-symmetric systems including freeform surfaces

Rania H. Abd El-Maksoud; Matthias Hillenbrand; Stefan Sinzinger

doi:10.1117/1.OE.53.3.031303

2 December 2013 Parabasal theory for plane-symmetric systems including freeform surfaces

Rania H. Abd El-Maksoud, Matthias Hillenbrand, Stefan Sinzinger

Author Affiliations +

Optical Engineering, Vol. 53, Issue 3, 031303 (December 2013). https://doi.org/10.1117/1.OE.53.3.031303

Abstract

An extension of paraxial theory to systems with a single plane of symmetry is provided. This parabasal model is based on the evaluation of a differential region around the reference ray that is defined by the center of the object and the center of the stop. To include freeform surfaces in this model, the local curvatures at the intersection point of the reference ray and the surface are evaluated. As an application, a generalized Scheimpflug principle is presented. The validity of the derived formulas is tested for highly tilted surfaces and is in good agreement with the exact ray tracing results. The analytical expressions are used to provide a first-order layout design of a planar imaging system.

Citation Download Citation

Rania H. Abd El-Maksoud, Matthias Hillenbrand, and Stefan Sinzinger "Parabasal theory for plane-symmetric systems including freeform surfaces," Optical Engineering 53(3), 031303 (2 December 2013). https://doi.org/10.1117/1.OE.53.3.031303

Published: 2 December 2013

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