Design approach for systems with toroidal optical elements featuring a generalized Scheimpflug condition

Peter Ott; Johannes Eckstein; Jun Gao

doi:10.1117/12.668088

1 February 2006 Design approach for systems with toroidal optical elements featuring a generalized Scheimpflug condition

Peter Ott, Johannes Eckstein, Jun Gao

Author Affiliations +

Proceedings Volume 6034, ICO20: Optical Design and Fabrication; 603405 (2006) https://doi.org/10.1117/12.668088
Event: ICO20:Optical Devices and Instruments, 2005, Changchun, China

Abstract

Toroidal elements are special aspheric elements with a missing axial section. Such elements consist of several refractive and/or reflective optical surfaces which are generally tilted with respect to a base ray. This base ray replaces the optical axis in ordinary centered systems. Toroidal elements can be efficiently applied e.g. in LED illumination systems or in optical metrology systems. For these elements there is a lack of design principles, only very few approaches like the Coddington equations are known. In this paper an efficient method is presented that facilitates the design when the requirement or knowledge of the orientation of the image plane is necessary, i.e. where a generalized Scheimpflug condition is needed. In more general terms, the method results in imaging properties of second order expansion, but the method itself is linear. Therefore, the complexity of the design process is considerably reduced. Additionally it is shown how the individual surfaces of the toroidal element can be easily aspherized for sharp imaging omitting tedious optimization. The strength of the design method is demonstrated for a novel application where a complex toroidal element is required for rotationally symmetric triangulation integrated in a vision systems and for a high aperture illumination element based on TIR for LEDs.

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Peter Ott, Johannes Eckstein, and Jun Gao "Design approach for systems with toroidal optical elements featuring a generalized Scheimpflug condition", Proc. SPIE 6034, ICO20: Optical Design and Fabrication, 603405 (1 February 2006); https://doi.org/10.1117/12.668088

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KEYWORDS

Sensors

Optical components

Aspheric lenses

Commercial off the shelf technology

Mirrors

Optical design

Geometrical optics

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