Numerically solving generated Jacobian equations in freeform optical design

Romijn Lotte B.; Anthonissen Martijn J.H.; ten Thije Boonkkamp Jan H.M.; IJzerman Wilbert L.

doi:10.1051/epjconf/202023802001

EPJ Web of Conferences (Jan 2020)

Numerically solving generated Jacobian equations in freeform optical design

Romijn Lotte B.,
Anthonissen Martijn J.H.,
ten Thije Boonkkamp Jan H.M.,
IJzerman Wilbert L.

Affiliations

Romijn Lotte B.: Eindhoven University of Technology (TU/e), Department of Mathematics and Computer Science
Anthonissen Martijn J.H.: Eindhoven University of Technology (TU/e), Department of Mathematics and Computer Science
ten Thije Boonkkamp Jan H.M.: Eindhoven University of Technology (TU/e), Department of Mathematics and Computer Science
IJzerman Wilbert L.

DOI: https://doi.org/10.1051/epjconf/202023802001
Journal volume & issue: Vol. 238
p. 02001

Abstract

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We present an efficient numerical algorithm that can be used to solve the generalized Monge-Ampère equations for a single freeform reflector and lens surface. These equations are instances of so-called ‘generated Jacobian equations’ which are characterized by associated generating functions. The algorithm has a wide applicability to any optical system that can be described by a smooth generating function.

Published in EPJ Web of Conferences

ISSN: 2100-014X (Online)
Publisher: EDP Sciences
Country of publisher: France
LCC subjects: Science: Physics
Website: http://www.epj-conferences.org/

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