Design of freeform illumination optics

R Wu, Z Feng, Z Zheng, R Liang… - Laser & Photonics …, 2018 - Wiley Online Library
Freeform optics constitutes a new technology that is currently driving substantial changes in
illumination design. It liberates designers and engineers from restrictions of optical surface …

A least-squares method for optimal transport using the Monge--Ampère equation

CR Prins, R Beltman, JHM ten Thije Boonkkamp… - SIAM Journal on …, 2015 - SIAM
In this article we introduce a novel numerical method to solve the problem of optimal
transport and the related elliptic Monge--Ampère equation. It is one of the few numerical …

Linear assignment problem in the design of freeform refractive optical elements generating prescribed irradiance distributions

DA Bykov, LL Doskolovich, AA Mingazov, EA Bezus… - Optics …, 2018 - opg.optica.org
We consider the problem of calculating the eikonal function defined on a certain curved
surface from the condition of generating a prescribed irradiance distribution on a target …

Ray mapping approach for the efficient design of continuous freeform surfaces

C Bösel, H Gross - Optics express, 2016 - opg.optica.org
The efficient design of continuous freeform surfaces, which maps a given light source to an
arbitrary target illumination pattern, remains a challenging problem and is considered here …

Precise light control in highly tilted geometry by freeform illumination optics

R Wu, L Yang, Z Ding, L Zhao, D Wang, K Li, F Wu… - Optics Letters, 2019 - opg.optica.org
The control of light propagation in highly tilted geometry by freeform illumination optics has
numerous applications. However, difficulties associated with the tailoring of freeform …

Optimal mass transportation and linear assignment problems in the design of freeform refractive optical elements generating far-field irradiance distributions

LL Doskolovich, DA Bykov, AA Mingazov, EA Bezus - Optics express, 2019 - opg.optica.org
We consider the problem of calculating a refractive surface generating a prescribed
irradiance distribution in the far field in the case of a point light source. We show that this …

Unified mathematical framework for a class of fundamental freeform optical systems

MJH Anthonissen, LB Romijn… - Optics …, 2021 - opg.optica.org
We present a unified mathematical framework for sixteen fundamental optical systems. The
systems have a parallel or point source and a parallel, point, near-field or far-field target …

Single freeform surface design for prescribed input wavefront and target irradiance

C Bösel, H Gross - JOSA A, 2017 - opg.optica.org
In beam shaping applications, the minimization of the number of necessary optical elements
for the beam shaping process can benefit the compactness of the optical system and reduce …

Hybridizable Discontinuous Galerkin Methods for the Two-Dimensional Monge–Ampère Equation

NC Nguyen, J Peraire - Journal of Scientific Computing, 2024 - Springer
We introduce two hybridizable discontinuous Galerkin (HDG) methods for numerically
solving the two-dimensional Monge–Ampère equation. The first HDG method is devised to …

[PDF][PDF] Monge-Ampere problems with non-quadratic cost function: application to freeform optics

NK Yadav - 2018 - research.tue.nl
Monge-Ampère problems with non-quadratic cost function : application to freeform optics Page
1 Monge-Ampère problems with non-quadratic cost function : application to freeform optics …