Tailoring freeform lenses for illumination

Harald Ries; Julius A. Muschaweck

doi:10.1117/12.449957

10 December 2001 Tailoring freeform lenses for illumination

Harald Ries, Julius A. Muschaweck

Proceedings Volume 4442, Novel Optical Systems Design and Optimization IV; (2001) https://doi.org/10.1117/12.449957
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

The general problem to find the shape of a refractive surface such as to produce a desired brightness distribution on a given target surface from a known point source leads to a boundary value problem with an elliptic partial differential equation of the Monge-Ampere type. This equation has been described and analyzed in the literature. The purpose of our contribution is to present a venue for a numerical solution as well as several solved examples. The essence of our algorithm for a numerical solution appears to be the explicit incorporation of the condition for the existence of a pseudopotential for a normal vector field.

Citation Download Citation

Harald Ries and Julius A. Muschaweck "Tailoring freeform lenses for illumination", Proc. SPIE 4442, Novel Optical Systems Design and Optimization IV, (10 December 2001); https://doi.org/10.1117/12.449957

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available