2 December 2013 Differential equations for design of a freeform single lens with prescribed irradiance properties
Author Affiliations +
Abstract
The design equations of a freeform single lens optical systems for redistributing the input radiation in a prescribed manner over a given target set are presented in explicit form. These equations are derived here and their analysis is carried out in geometrical optics approximation. The qualitative properties of solutions to such problems are discussed in detail and illustrated by examples. Difficulties arising in numerical computations of solutions in the rotationally symmetric case are also noted.
© 2014 Society of Photo-Optical Instrumentation Engineers (SPIE) 0091-3286/2014/$25.00 © 2014 SPIE
Vladimir I. Oliker "Differential equations for design of a freeform single lens with prescribed irradiance properties," Optical Engineering 53(3), 031302 (2 December 2013). https://doi.org/10.1117/1.OE.53.3.031302
Published: 2 December 2013
Lens.org Logo
CITATIONS
Cited by 16 scholarly publications.
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Beam shaping

Geometrical optics

Differential equations

Ray tracing

Optical engineering

Optical design

Chemical elements

Back to Top