Membrane-in-the-middle optomechanical system and structural frequencies
We consider a one-dimensional membrane-in-the-middle model for a cavity that consists of two fixed, perfect mirrors and a mobile dielectric membrane between them that has a constant electric susceptibility. We present a sequence of exact cavity angular frequencies that we call structural angular fre...
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Veröffentlicht in: | Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2024-09, Vol.57 (34), p.345301 |
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container_title | Journal of physics. A, Mathematical and theoretical |
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creator | Pedro Lara, Luis Weder, Ricardo Octavio Castaños-Cervantes, Luis |
description | We consider a one-dimensional
membrane-in-the-middle
model for a cavity that consists of two fixed, perfect mirrors and a mobile dielectric membrane between them that has a constant electric susceptibility. We present a sequence of exact cavity angular frequencies that we call
structural angular frequencies
and that have the remarkable property that they are independent of the position of the membrane inside the cavity. Furthermore, the case of a thin membrane is considered and simple, approximate formulae for the angular frequencies and for the modes of the cavity are obtained. Finally, the cavity electromagnetic potential is numerically calculated and it is found that the potential is accurately described by a multiple scales solution. |
doi_str_mv | 10.1088/1751-8121/ad653e |
format | Article |
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membrane-in-the-middle
model for a cavity that consists of two fixed, perfect mirrors and a mobile dielectric membrane between them that has a constant electric susceptibility. We present a sequence of exact cavity angular frequencies that we call
structural angular frequencies
and that have the remarkable property that they are independent of the position of the membrane inside the cavity. Furthermore, the case of a thin membrane is considered and simple, approximate formulae for the angular frequencies and for the modes of the cavity are obtained. Finally, the cavity electromagnetic potential is numerically calculated and it is found that the potential is accurately described by a multiple scales solution.</description><identifier>ISSN: 1751-8113</identifier><identifier>EISSN: 1751-8121</identifier><identifier>DOI: 10.1088/1751-8121/ad653e</identifier><identifier>CODEN: JPHAC5</identifier><language>eng</language><publisher>IOP Publishing</publisher><subject>effects of moving material media on light ; electromagnetic fields ; multiple scales ; optomechanics</subject><ispartof>Journal of physics. A, Mathematical and theoretical, 2024-09, Vol.57 (34), p.345301</ispartof><rights>2024 The Author(s). Published by IOP Publishing Ltd</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c205t-35c80233c8e9e2b6cae3d59d7b37e5c2ad54fedb4af8ddcbf169328f11c350523</cites><orcidid>0000-0003-3993-4698</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.1088/1751-8121/ad653e/pdf$$EPDF$$P50$$Giop$$Hfree_for_read</linktopdf><link.rule.ids>314,776,780,27901,27902,53821,53868</link.rule.ids></links><search><creatorcontrib>Pedro Lara, Luis</creatorcontrib><creatorcontrib>Weder, Ricardo</creatorcontrib><creatorcontrib>Octavio Castaños-Cervantes, Luis</creatorcontrib><title>Membrane-in-the-middle optomechanical system and structural frequencies</title><title>Journal of physics. A, Mathematical and theoretical</title><addtitle>JPhysA</addtitle><addtitle>J. Phys. A: Math. Theor</addtitle><description>We consider a one-dimensional
membrane-in-the-middle
model for a cavity that consists of two fixed, perfect mirrors and a mobile dielectric membrane between them that has a constant electric susceptibility. We present a sequence of exact cavity angular frequencies that we call
structural angular frequencies
and that have the remarkable property that they are independent of the position of the membrane inside the cavity. Furthermore, the case of a thin membrane is considered and simple, approximate formulae for the angular frequencies and for the modes of the cavity are obtained. Finally, the cavity electromagnetic potential is numerically calculated and it is found that the potential is accurately described by a multiple scales solution.</description><subject>effects of moving material media on light</subject><subject>electromagnetic fields</subject><subject>multiple scales</subject><subject>optomechanics</subject><issn>1751-8113</issn><issn>1751-8121</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>O3W</sourceid><recordid>eNp1UD1PwzAUtBBIlMLOmB-AqT_ixBlRBS1SEQvMlmM_q6kSJ9jO0H9PoqBuTO90uju9O4QeKXmmRMoNLQXFkjK60bYQHK7Q6kJdXzDlt-guxhMhIicVW6HdB3R10B5w43E6Au4aa1vI-iH1HZij9o3RbRbPMUGXaW-zmMJo0hgm1gX4GcGbBuI9unG6jfDwd9fo--31a7vHh8_d-_blgA0jImEujCSMcyOhAlYXRgO3orJlzUsQhmkrcge2zrWT1pra0aLiTDpKDRdEML5GZMk1oY8xgFNDaDodzooSNQ-h5qZqbq2WISbL02Jp-kGd-jH46cH_5b8t0WC2</recordid><startdate>20240913</startdate><enddate>20240913</enddate><creator>Pedro Lara, Luis</creator><creator>Weder, Ricardo</creator><creator>Octavio Castaños-Cervantes, Luis</creator><general>IOP Publishing</general><scope>O3W</scope><scope>TSCCA</scope><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-3993-4698</orcidid></search><sort><creationdate>20240913</creationdate><title>Membrane-in-the-middle optomechanical system and structural frequencies</title><author>Pedro Lara, Luis ; Weder, Ricardo ; Octavio Castaños-Cervantes, Luis</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c205t-35c80233c8e9e2b6cae3d59d7b37e5c2ad54fedb4af8ddcbf169328f11c350523</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>effects of moving material media on light</topic><topic>electromagnetic fields</topic><topic>multiple scales</topic><topic>optomechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pedro Lara, Luis</creatorcontrib><creatorcontrib>Weder, Ricardo</creatorcontrib><creatorcontrib>Octavio Castaños-Cervantes, Luis</creatorcontrib><collection>IOP Publishing Free Content</collection><collection>IOPscience (Open Access)</collection><collection>CrossRef</collection><jtitle>Journal of physics. A, Mathematical and theoretical</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pedro Lara, Luis</au><au>Weder, Ricardo</au><au>Octavio Castaños-Cervantes, Luis</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Membrane-in-the-middle optomechanical system and structural frequencies</atitle><jtitle>Journal of physics. A, Mathematical and theoretical</jtitle><stitle>JPhysA</stitle><addtitle>J. Phys. A: Math. Theor</addtitle><date>2024-09-13</date><risdate>2024</risdate><volume>57</volume><issue>34</issue><spage>345301</spage><pages>345301-</pages><issn>1751-8113</issn><eissn>1751-8121</eissn><coden>JPHAC5</coden><abstract>We consider a one-dimensional
membrane-in-the-middle
model for a cavity that consists of two fixed, perfect mirrors and a mobile dielectric membrane between them that has a constant electric susceptibility. We present a sequence of exact cavity angular frequencies that we call
structural angular frequencies
and that have the remarkable property that they are independent of the position of the membrane inside the cavity. Furthermore, the case of a thin membrane is considered and simple, approximate formulae for the angular frequencies and for the modes of the cavity are obtained. Finally, the cavity electromagnetic potential is numerically calculated and it is found that the potential is accurately described by a multiple scales solution.</abstract><pub>IOP Publishing</pub><doi>10.1088/1751-8121/ad653e</doi><tpages>21</tpages><orcidid>https://orcid.org/0000-0003-3993-4698</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | effects of moving material media on light electromagnetic fields multiple scales optomechanics |
title | Membrane-in-the-middle optomechanical system and structural frequencies |
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