Design of a pair of aplanatic mirrors

In this paper, a new, to the best of our knowledge, differential equation for designing a pair of aplanatic mirrors is introduced. The differential equation is a direct consequence of the Fermat principle and Abbe sine condition. If it is solved, the solution expresses the shape of a pair of mirrors...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied optics (2004) 2022-03, Vol.61 (8), p.1982-1986
1. Verfasser: González-Acuña, Rafael G
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 1986
container_issue 8
container_start_page 1982
container_title Applied optics (2004)
container_volume 61
creator González-Acuña, Rafael G
description In this paper, a new, to the best of our knowledge, differential equation for designing a pair of aplanatic mirrors is introduced. The differential equation is a direct consequence of the Fermat principle and Abbe sine condition. If it is solved, the solution expresses the shape of a pair of mirrors such that they form an aplanatic system. The differential equation has been solved numerically. We have also tested the performance of the pair of mirrors, which is as predicted by the theory.
doi_str_mv 10.1364/AO.452470
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_2640322061</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2640098683</sourcerecordid><originalsourceid>FETCH-LOGICAL-c313t-266885f58dd1601d08214ae376c92c8ecf9eedaedd5121570cd7d54d86e3abd3</originalsourceid><addsrcrecordid>eNpd0DtPwzAUBWALgWgpDPwBFAkhwZDid-yxKk-pUpcObJZr36BUSRPsZuDf1zSFgene4dPR0UHomuApYZI_zpZTLigv8AkaUyJEzogUp2icXp0Tqj5G6CLGDcZMcF2coxETVBdK4zG6e4JYfW6ztsxs1tkqHL6utlu7q1zWVCG0IV6is9LWEa6Od4JWL8-r-Vu-WL6-z2eL3DHCdjmVUilRCuU9kZh4rCjhFlghnaZOgSs1gLfgvSCpZ4GdL7zgXklgdu3ZBN0PsV1ov3qIO9NU0UGd2kDbR0Mlx4xSLEmit__opu3DNpU7KKyVVCyph0G50MYYoDRdqBobvg3B5mc6M1uaYbpkb46J_boB_yd_t2J7f_hmAQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2640098683</pqid></control><display><type>article</type><title>Design of a pair of aplanatic mirrors</title><source>Alma/SFX Local Collection</source><source>Optica Publishing Group Journals</source><creator>González-Acuña, Rafael G</creator><creatorcontrib>González-Acuña, Rafael G</creatorcontrib><description>In this paper, a new, to the best of our knowledge, differential equation for designing a pair of aplanatic mirrors is introduced. The differential equation is a direct consequence of the Fermat principle and Abbe sine condition. If it is solved, the solution expresses the shape of a pair of mirrors such that they form an aplanatic system. The differential equation has been solved numerically. We have also tested the performance of the pair of mirrors, which is as predicted by the theory.</description><identifier>ISSN: 1559-128X</identifier><identifier>EISSN: 2155-3165</identifier><identifier>EISSN: 1539-4522</identifier><identifier>DOI: 10.1364/AO.452470</identifier><identifier>PMID: 35297890</identifier><language>eng</language><publisher>United States: Optical Society of America</publisher><subject>Differential equations ; Fermat principle</subject><ispartof>Applied optics (2004), 2022-03, Vol.61 (8), p.1982-1986</ispartof><rights>Copyright Optical Society of America Mar 10, 2022</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c313t-266885f58dd1601d08214ae376c92c8ecf9eedaedd5121570cd7d54d86e3abd3</citedby><cites>FETCH-LOGICAL-c313t-266885f58dd1601d08214ae376c92c8ecf9eedaedd5121570cd7d54d86e3abd3</cites><orcidid>0000-0003-1114-0327</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,3258,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/35297890$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>González-Acuña, Rafael G</creatorcontrib><title>Design of a pair of aplanatic mirrors</title><title>Applied optics (2004)</title><addtitle>Appl Opt</addtitle><description>In this paper, a new, to the best of our knowledge, differential equation for designing a pair of aplanatic mirrors is introduced. The differential equation is a direct consequence of the Fermat principle and Abbe sine condition. If it is solved, the solution expresses the shape of a pair of mirrors such that they form an aplanatic system. The differential equation has been solved numerically. We have also tested the performance of the pair of mirrors, which is as predicted by the theory.</description><subject>Differential equations</subject><subject>Fermat principle</subject><issn>1559-128X</issn><issn>2155-3165</issn><issn>1539-4522</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNpd0DtPwzAUBWALgWgpDPwBFAkhwZDid-yxKk-pUpcObJZr36BUSRPsZuDf1zSFgene4dPR0UHomuApYZI_zpZTLigv8AkaUyJEzogUp2icXp0Tqj5G6CLGDcZMcF2coxETVBdK4zG6e4JYfW6ztsxs1tkqHL6utlu7q1zWVCG0IV6is9LWEa6Od4JWL8-r-Vu-WL6-z2eL3DHCdjmVUilRCuU9kZh4rCjhFlghnaZOgSs1gLfgvSCpZ4GdL7zgXklgdu3ZBN0PsV1ov3qIO9NU0UGd2kDbR0Mlx4xSLEmit__opu3DNpU7KKyVVCyph0G50MYYoDRdqBobvg3B5mc6M1uaYbpkb46J_boB_yd_t2J7f_hmAQ</recordid><startdate>20220310</startdate><enddate>20220310</enddate><creator>González-Acuña, Rafael G</creator><general>Optical Society of America</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0003-1114-0327</orcidid></search><sort><creationdate>20220310</creationdate><title>Design of a pair of aplanatic mirrors</title><author>González-Acuña, Rafael G</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c313t-266885f58dd1601d08214ae376c92c8ecf9eedaedd5121570cd7d54d86e3abd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Differential equations</topic><topic>Fermat principle</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>González-Acuña, Rafael G</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><jtitle>Applied optics (2004)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>González-Acuña, Rafael G</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Design of a pair of aplanatic mirrors</atitle><jtitle>Applied optics (2004)</jtitle><addtitle>Appl Opt</addtitle><date>2022-03-10</date><risdate>2022</risdate><volume>61</volume><issue>8</issue><spage>1982</spage><epage>1986</epage><pages>1982-1986</pages><issn>1559-128X</issn><eissn>2155-3165</eissn><eissn>1539-4522</eissn><abstract>In this paper, a new, to the best of our knowledge, differential equation for designing a pair of aplanatic mirrors is introduced. The differential equation is a direct consequence of the Fermat principle and Abbe sine condition. If it is solved, the solution expresses the shape of a pair of mirrors such that they form an aplanatic system. The differential equation has been solved numerically. We have also tested the performance of the pair of mirrors, which is as predicted by the theory.</abstract><cop>United States</cop><pub>Optical Society of America</pub><pmid>35297890</pmid><doi>10.1364/AO.452470</doi><tpages>5</tpages><orcidid>https://orcid.org/0000-0003-1114-0327</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 1559-128X
ispartof Applied optics (2004), 2022-03, Vol.61 (8), p.1982-1986
issn 1559-128X
2155-3165
1539-4522
language eng
recordid cdi_proquest_miscellaneous_2640322061
source Alma/SFX Local Collection; Optica Publishing Group Journals
subjects Differential equations
Fermat principle
title Design of a pair of aplanatic mirrors
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-25T17%3A51%3A09IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Design%20of%20a%20pair%20of%20aplanatic%20mirrors&rft.jtitle=Applied%20optics%20(2004)&rft.au=Gonz%C3%A1lez-Acu%C3%B1a,%20Rafael%20G&rft.date=2022-03-10&rft.volume=61&rft.issue=8&rft.spage=1982&rft.epage=1986&rft.pages=1982-1986&rft.issn=1559-128X&rft.eissn=2155-3165&rft_id=info:doi/10.1364/AO.452470&rft_dat=%3Cproquest_cross%3E2640098683%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2640098683&rft_id=info:pmid/35297890&rfr_iscdi=true