Monge-Ampère type equations for freeform illumination optics

J. H. M. ten Thije Boonkkamp; L. B. Romijn II; N. K. Yadav II; W. L. IJzerman

doi:10.1117/12.2313220

28 May 2018 Monge-Ampère type equations for freeform illumination optics

J. H. M. ten Thije Boonkkamp, L. B. Romijn II, N. K. Yadav II, W. L. IJzerman

Proceedings Volume 10693, Illumination Optics V; 106930A (2018) https://doi.org/10.1117/12.2313220
Event: SPIE Optical Systems Design, 2018, Frankfurt, Germany

Abstract

In this contribution we introduce the Monge-Ampère equation, defining the shape of a freeform surface, for several optical systems. We restrict ourselves to systems containing one or two freeform surfaces. As numerical solution method we propose a least-squares method, which is a two-stage method. In the first stage the optical map is computed, and subsequently in the second stage, the shape of the optical surface(s). We demonstrate that our method can handle complicates source and target distributions.

Citation Download Citation

J. H. M. ten Thije Boonkkamp, L. B. Romijn II, N. K. Yadav II, and W. L. IJzerman "Monge-Ampère type equations for freeform illumination optics", Proc. SPIE 10693, Illumination Optics V, 106930A (28 May 2018); https://doi.org/10.1117/12.2313220

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