Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Freeform lens design for a point source and far-field target

Not Accessible

Your library or personal account may give you access

Abstract

The field of freeform illumination design has surged since the introduction of new fabrication techniques that allow for the production of non-axially symmetric surfaces. Freeform surfaces aim to efficiently control the redistribution of light from a particular source distribution to a target irradiance, but designing such surfaces is a challenging problem in the field of nonimaging optics. Optical design strategies have been developed in both academia and industry. In this paper, we consider the design of a single freeform lens that converts the light from an ideal (zero-étendue) point source into a far-field target. We present a mathematical approach and numerically solve the corresponding generalized Monge–Ampère equation of the optical system. We derive this equation using optimal transport theory and energy conservation. We use a generalized least-squares algorithm that can handle a non-quadratic cost function in the corresponding optimal transport problem. The algorithm first computes the optical map and subsequently constructs the optical surface. We demonstrate that the algorithm can generate a peanut-shaped lens for roadlighting purposes and a highly detailed lens that produces an image on a projection screen in the far field.

© 2019 Optical Society of America

Full Article  |  PDF Article
More Like This
Generating-function approach for double freeform lens design

L. B. Romijn, M. J. H. Anthonissen, J. H. M. ten Thije Boonkkamp, and W. L. IJzerman
J. Opt. Soc. Am. A 38(3) 356-368 (2021)

Fresnel reflections in inverse freeform lens design

A. H. van Roosmalen, M. J. H. Anthonissen, W. L. IJzerman, and J. H. M. ten Thije Boonkkamp
J. Opt. Soc. Am. A 39(6) 1045-1052 (2022)

Design of a freeform two-reflector system to collimate and shape a point source distribution

A. H. van Roosmalen, M. J. H. Anthonissen, W. L. IJzerman, and J. H. M. ten Thije Boonkkamp
Opt. Express 29(16) 25605-25625 (2021)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (12)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (112)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved