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- W2012639072 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." @default.
- W2012639072 created "2016-06-24" @default.
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- W2012639072 date "2006-01-31" @default.
- W2012639072 modified "2023-09-23" @default.
- W2012639072 title "Design approach for systems with toroidal optical elements featuring a generalized Scheimpflug condition" @default.
- W2012639072 doi "https://doi.org/10.1117/12.668088" @default.
- W2012639072 hasPublicationYear "2006" @default.
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