Design of freeform optical elements generating a line-shaped directivity diagram

Leonid L. Doskolovich; Anton Y. Dmitriev; Mikhail A. Moiseev

doi:10.1117/12.2030505

15 October 2013 Design of freeform optical elements generating a line-shaped directivity diagram

Leonid L. Doskolovich, Anton Y. Dmitriev, Mikhail A. Moiseev

Proceedings Volume 8884, Optifab 2013; 88841H (2013) https://doi.org/10.1117/12.2030505
Event: SPIE Optifab, 2013, Rochester, New York, United States

Abstract

We propose a novel method of designing a refractive surface to generate a line-shaped directivity diagram represented as a vector function of one argument. A general relationship for the refractive surface is derived as an envelope of a parametric family of ellipsoids or hyperboloids of revolution (depending on the relative refractive index of the media separated by the surface). Each surface in the family transforms the incident spherical beam from a point (compact) light source into a beam with plane wavefront of desired direction. Optical elements generating line segment directivity diagram, circular arc directivity diagram and two-arc composite directivity diagram are designed. The simulation results demonstrate the generation of high-quality diagrams.

Citation Download Citation

Leonid L. Doskolovich, Anton Y. Dmitriev, and Mikhail A. Moiseev "Design of freeform optical elements generating a line-shaped directivity diagram", Proc. SPIE 8884, Optifab 2013, 88841H (15 October 2013); https://doi.org/10.1117/12.2030505

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