Angular Airy function: a model of Fabry-Perot etalons illuminated by arbitrary beams

Fabry-Perot (FP) etalons are used as filters and sensors in a range of optical systems. The reflected and transmitted fields associated with an FP etalon have traditionally been predicted by the Airy function, which assumes a plane wave illumination. FP etalons are, however, often illuminated by non...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Optics express 2021-07, Vol.29 (15), p.24144-24150
Hauptverfasser: Marques, Dylan M., Guggenheim, James A., Munro, Peter R. T.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 24150
container_issue 15
container_start_page 24144
container_title Optics express
container_volume 29
creator Marques, Dylan M.
Guggenheim, James A.
Munro, Peter R. T.
description Fabry-Perot (FP) etalons are used as filters and sensors in a range of optical systems. The reflected and transmitted fields associated with an FP etalon have traditionally been predicted by the Airy function, which assumes a plane wave illumination. FP etalons are, however, often illuminated by non-collimated beams, rendering the Airy function invalid. To address this limitation, we describe the angular Airy function which calculates the reflected and transmitted fields for arbitrary illumination beams, using angular spectrum decomposition. Combined with realistic models of the experimental illumination beams and detection optics, we show that the angular Airy function can accurately predict experimental wavelength resolved intensity measurements. Based on the angular Airy function, we show that the fundamental operating principle of an FP etalon is as an angular-spectral filter. Based on this interpretation we explain the asymmetry, broadening and visibility reduction seen on wavelength resolved intensity measurements from high Q-factor FP etalons illuminated with focused Gaussian beams.
doi_str_mv 10.1364/OE.431362
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_2580015259</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2580015259</sourcerecordid><originalsourceid>FETCH-LOGICAL-c297t-305e982382ce14f18f29389d88184cf19ed7a30106f4c273136e387a53687d253</originalsourceid><addsrcrecordid>eNpNkD1PwzAYhC0EEqUw8A88wpDir9Q2W4VaQKpUhjJbjvMaBTlxsZ2h_55UZWC6G06P7g6he0oWlC_F0269EHxy7ALNKNGiEkTJy3_-Gt3k_E0IFVLLGdqvhq8x2IRXXTpiPw6udHF4xhb3sYWAo8cb26Rj9QEpFgzFhjhk3IUw9t1gC7S4OWKbmq4kOxEasH2-RVfehgx3fzpHn5v1_uWt2u5e319W28oxLUvFSQ1aMa6YAyo8VZ5prnSrFFXCeaqhlZYTSpZeOCZPs4AraWu-VLJlNZ-jhzP3kOLPCLmYvssOQrADxDEbVqtpaM1qPUUfz1GXYs4JvDmkrp8aG0rM6TmzW5vzc_wXxTRexg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2580015259</pqid></control><display><type>article</type><title>Angular Airy function: a model of Fabry-Perot etalons illuminated by arbitrary beams</title><source>DOAJ Directory of Open Access Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><source>Alma/SFX Local Collection</source><creator>Marques, Dylan M. ; Guggenheim, James A. ; Munro, Peter R. T.</creator><creatorcontrib>Marques, Dylan M. ; Guggenheim, James A. ; Munro, Peter R. T.</creatorcontrib><description>Fabry-Perot (FP) etalons are used as filters and sensors in a range of optical systems. The reflected and transmitted fields associated with an FP etalon have traditionally been predicted by the Airy function, which assumes a plane wave illumination. FP etalons are, however, often illuminated by non-collimated beams, rendering the Airy function invalid. To address this limitation, we describe the angular Airy function which calculates the reflected and transmitted fields for arbitrary illumination beams, using angular spectrum decomposition. Combined with realistic models of the experimental illumination beams and detection optics, we show that the angular Airy function can accurately predict experimental wavelength resolved intensity measurements. Based on the angular Airy function, we show that the fundamental operating principle of an FP etalon is as an angular-spectral filter. Based on this interpretation we explain the asymmetry, broadening and visibility reduction seen on wavelength resolved intensity measurements from high Q-factor FP etalons illuminated with focused Gaussian beams.</description><identifier>ISSN: 1094-4087</identifier><identifier>EISSN: 1094-4087</identifier><identifier>DOI: 10.1364/OE.431362</identifier><language>eng</language><ispartof>Optics express, 2021-07, Vol.29 (15), p.24144-24150</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c297t-305e982382ce14f18f29389d88184cf19ed7a30106f4c273136e387a53687d253</citedby><cites>FETCH-LOGICAL-c297t-305e982382ce14f18f29389d88184cf19ed7a30106f4c273136e387a53687d253</cites><orcidid>0000-0003-2666-5900 ; 0000-0003-4295-0525 ; 0000-0001-9306-3673</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,864,27923,27924</link.rule.ids></links><search><creatorcontrib>Marques, Dylan M.</creatorcontrib><creatorcontrib>Guggenheim, James A.</creatorcontrib><creatorcontrib>Munro, Peter R. T.</creatorcontrib><title>Angular Airy function: a model of Fabry-Perot etalons illuminated by arbitrary beams</title><title>Optics express</title><description>Fabry-Perot (FP) etalons are used as filters and sensors in a range of optical systems. The reflected and transmitted fields associated with an FP etalon have traditionally been predicted by the Airy function, which assumes a plane wave illumination. FP etalons are, however, often illuminated by non-collimated beams, rendering the Airy function invalid. To address this limitation, we describe the angular Airy function which calculates the reflected and transmitted fields for arbitrary illumination beams, using angular spectrum decomposition. Combined with realistic models of the experimental illumination beams and detection optics, we show that the angular Airy function can accurately predict experimental wavelength resolved intensity measurements. Based on the angular Airy function, we show that the fundamental operating principle of an FP etalon is as an angular-spectral filter. Based on this interpretation we explain the asymmetry, broadening and visibility reduction seen on wavelength resolved intensity measurements from high Q-factor FP etalons illuminated with focused Gaussian beams.</description><issn>1094-4087</issn><issn>1094-4087</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNpNkD1PwzAYhC0EEqUw8A88wpDir9Q2W4VaQKpUhjJbjvMaBTlxsZ2h_55UZWC6G06P7g6he0oWlC_F0269EHxy7ALNKNGiEkTJy3_-Gt3k_E0IFVLLGdqvhq8x2IRXXTpiPw6udHF4xhb3sYWAo8cb26Rj9QEpFgzFhjhk3IUw9t1gC7S4OWKbmq4kOxEasH2-RVfehgx3fzpHn5v1_uWt2u5e319W28oxLUvFSQ1aMa6YAyo8VZ5prnSrFFXCeaqhlZYTSpZeOCZPs4AraWu-VLJlNZ-jhzP3kOLPCLmYvssOQrADxDEbVqtpaM1qPUUfz1GXYs4JvDmkrp8aG0rM6TmzW5vzc_wXxTRexg</recordid><startdate>20210719</startdate><enddate>20210719</enddate><creator>Marques, Dylan M.</creator><creator>Guggenheim, James A.</creator><creator>Munro, Peter R. T.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0003-2666-5900</orcidid><orcidid>https://orcid.org/0000-0003-4295-0525</orcidid><orcidid>https://orcid.org/0000-0001-9306-3673</orcidid></search><sort><creationdate>20210719</creationdate><title>Angular Airy function: a model of Fabry-Perot etalons illuminated by arbitrary beams</title><author>Marques, Dylan M. ; Guggenheim, James A. ; Munro, Peter R. T.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c297t-305e982382ce14f18f29389d88184cf19ed7a30106f4c273136e387a53687d253</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Marques, Dylan M.</creatorcontrib><creatorcontrib>Guggenheim, James A.</creatorcontrib><creatorcontrib>Munro, Peter R. T.</creatorcontrib><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Optics express</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Marques, Dylan M.</au><au>Guggenheim, James A.</au><au>Munro, Peter R. T.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Angular Airy function: a model of Fabry-Perot etalons illuminated by arbitrary beams</atitle><jtitle>Optics express</jtitle><date>2021-07-19</date><risdate>2021</risdate><volume>29</volume><issue>15</issue><spage>24144</spage><epage>24150</epage><pages>24144-24150</pages><issn>1094-4087</issn><eissn>1094-4087</eissn><abstract>Fabry-Perot (FP) etalons are used as filters and sensors in a range of optical systems. The reflected and transmitted fields associated with an FP etalon have traditionally been predicted by the Airy function, which assumes a plane wave illumination. FP etalons are, however, often illuminated by non-collimated beams, rendering the Airy function invalid. To address this limitation, we describe the angular Airy function which calculates the reflected and transmitted fields for arbitrary illumination beams, using angular spectrum decomposition. Combined with realistic models of the experimental illumination beams and detection optics, we show that the angular Airy function can accurately predict experimental wavelength resolved intensity measurements. Based on the angular Airy function, we show that the fundamental operating principle of an FP etalon is as an angular-spectral filter. Based on this interpretation we explain the asymmetry, broadening and visibility reduction seen on wavelength resolved intensity measurements from high Q-factor FP etalons illuminated with focused Gaussian beams.</abstract><doi>10.1364/OE.431362</doi><tpages>7</tpages><orcidid>https://orcid.org/0000-0003-2666-5900</orcidid><orcidid>https://orcid.org/0000-0003-4295-0525</orcidid><orcidid>https://orcid.org/0000-0001-9306-3673</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1094-4087
ispartof Optics express, 2021-07, Vol.29 (15), p.24144-24150
issn 1094-4087
1094-4087
language eng
recordid cdi_proquest_miscellaneous_2580015259
source DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection
title Angular Airy function: a model of Fabry-Perot etalons illuminated by arbitrary beams
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-12T19%3A40%3A56IST&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=Angular%20Airy%20function:%20a%20model%20of%20Fabry-Perot%20etalons%20illuminated%20by%20arbitrary%20beams&rft.jtitle=Optics%20express&rft.au=Marques,%20Dylan%20M.&rft.date=2021-07-19&rft.volume=29&rft.issue=15&rft.spage=24144&rft.epage=24150&rft.pages=24144-24150&rft.issn=1094-4087&rft.eissn=1094-4087&rft_id=info:doi/10.1364/OE.431362&rft_dat=%3Cproquest_cross%3E2580015259%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=2580015259&rft_id=info:pmid/&rfr_iscdi=true