Optimization method for designing optical elements with an extended light source

A method for designing an optical element with two free-form surfaces generating a prescribed illuminance distribution in the case of an extended light source is considered. The method is based on the representation of the optical element surfaces by bicubic splines and on the subsequent optimizatio...

Full description

Bibliographic Details
Main Authors: E.V. Byzov, S.V. Kravchenko, M.A. Moiseev, L.L. Doskolovich
Format: Article
Language:English
Published: Samara National Research University 2020-10-01
Series:Компьютерная оптика
Subjects:
Online Access:http://www.computeroptics.smr.ru/eng/KO/Annot/KO44-5/440505e.html
_version_ 1818530589939073024
author E.V. Byzov
S.V. Kravchenko
M.A. Moiseev
L.L. Doskolovich
author_facet E.V. Byzov
S.V. Kravchenko
M.A. Moiseev
L.L. Doskolovich
author_sort E.V. Byzov
collection DOAJ
description A method for designing an optical element with two free-form surfaces generating a prescribed illuminance distribution in the case of an extended light source is considered. The method is based on the representation of the optical element surfaces by bicubic splines and on the subsequent optimization of their parameters using a quasi-Newton method implemented in the Matlab software. To calculate the merit function, a version of the ray tracing method is proposed. Using the proposed method, an optical element with record characteristics was designed: the ratio of the element height to the source size is 1.6; luminous efficiency is 89.1 %; uniformity of the generated distribution (the ratio of the minimum and average illuminance) in a given square region is 0.92.
first_indexed 2024-12-11T17:21:37Z
format Article
id doaj.art-4f1bdaee57e94e168ae7982e7214c1d2
institution Directory Open Access Journal
issn 0134-2452
2412-6179
language English
last_indexed 2024-12-11T17:21:37Z
publishDate 2020-10-01
publisher Samara National Research University
record_format Article
series Компьютерная оптика
spelling doaj.art-4f1bdaee57e94e168ae7982e7214c1d22022-12-22T00:57:07ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792020-10-0144571272010.18287/2412-6179-CO-762Optimization method for designing optical elements with an extended light sourceE.V. Byzov 0S.V. Kravchenko1M.A. Moiseev2L.L. Doskolovich3IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151; Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34A method for designing an optical element with two free-form surfaces generating a prescribed illuminance distribution in the case of an extended light source is considered. The method is based on the representation of the optical element surfaces by bicubic splines and on the subsequent optimization of their parameters using a quasi-Newton method implemented in the Matlab software. To calculate the merit function, a version of the ray tracing method is proposed. Using the proposed method, an optical element with record characteristics was designed: the ratio of the element height to the source size is 1.6; luminous efficiency is 89.1 %; uniformity of the generated distribution (the ratio of the minimum and average illuminance) in a given square region is 0.92.http://www.computeroptics.smr.ru/eng/KO/Annot/KO44-5/440505e.htmlfreeform surfaceray tracingoptimizationled opticsilluminance distributionnonimaging opticsoptical design
spellingShingle E.V. Byzov
S.V. Kravchenko
M.A. Moiseev
L.L. Doskolovich
Optimization method for designing optical elements with an extended light source
Компьютерная оптика
freeform surface
ray tracing
optimization
led optics
illuminance distribution
nonimaging optics
optical design
title Optimization method for designing optical elements with an extended light source
title_full Optimization method for designing optical elements with an extended light source
title_fullStr Optimization method for designing optical elements with an extended light source
title_full_unstemmed Optimization method for designing optical elements with an extended light source
title_short Optimization method for designing optical elements with an extended light source
title_sort optimization method for designing optical elements with an extended light source
topic freeform surface
ray tracing
optimization
led optics
illuminance distribution
nonimaging optics
optical design
url http://www.computeroptics.smr.ru/eng/KO/Annot/KO44-5/440505e.html
work_keys_str_mv AT evbyzov optimizationmethodfordesigningopticalelementswithanextendedlightsource
AT svkravchenko optimizationmethodfordesigningopticalelementswithanextendedlightsource
AT mamoiseev optimizationmethodfordesigningopticalelementswithanextendedlightsource
AT lldoskolovich optimizationmethodfordesigningopticalelementswithanextendedlightsource