Published 2020 | Version v1
Journal article Metadata-only

Numerically solving generated Jacobian equations in freeform optical design

Creators

  • 1. Eindhoven University of Technology (TU/e), Department of Mathematics and Computer Science, PO Box 513, 5600 MB Eindhoven (Netherlands)
  • 2. Signify Research, High Tech Campus 7, 5656 AE Eindhoven (Netherlands)

Description

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.

Availability note (English)

Available from https://www.epj-conferences.org/articles/epjconf/pdf/2020/14/epjconf_eosam2020_02001.pdf; https://doaj.org/article/9f34786b77b04e51b645f8f8a1bd2b3a

Additional details

Identifiers

URL
https://www.epj-conferences.org/articles/epjconf/pdf/2020/14/epjconf_eosam2020_02001.pdf; https://doaj.org/article/9f34786b77b04e51b645f8f8a1bd2b3a;
DOI
10.1051/epjconf/202023802001;

Publishing Information

Journal Title
EPJ. Web of Conferences
Journal Volume
238
Journal Page Range
vp.
ISSN
2100-014X

Conference

Title
EOS (European Optical Society) Annual Meeting
Acronym
EOSAM 2020
Dates
7-11 Sep 2020
Place
Porto (Portugal)

INIS

Country of Publication
France
Country of Input or Organization
France
INIS RN
53093444
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S97: MATHEMATICAL METHODS AND COMPUTING;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ALGORITHMS; DESIGN; LENSES; OPTICAL SYSTEMS; SURFACES
Descriptors DEC
MATHEMATICAL LOGIC