Canonical Resonant Four-Wave-Mixing in Photonic Crystal Cavities : tuning, tolerances and scaling
We refer to Canonical Resonant Four-Wave-Mixing when only four (three in the degenerate case) modes of the cavity are able to interact through this parametric process; thereby inhibiting competing parametric processes. This condition is achieved in the recently introduced photonic crystal parametric...
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| Veröffentlicht in: | IEEE journal of selected topics in quantum electronics 2023-01, Vol.29 (1: Nonlinear Integrated Photonics), p.1-13 |
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| container_issue | 1: Nonlinear Integrated Photonics |
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| creator | Chopin, Alexandre Marty, Gabriel Ghorbel, Ines Moille, Gregory Martin, Aude Combrie, Sylvain Raineri, Fabrice De Rossi, Alfredo |
| description | We refer to Canonical Resonant Four-Wave-Mixing when only four (three in the degenerate case) modes of the cavity are able to interact through this parametric process; thereby inhibiting competing parametric processes. This condition is achieved in the recently introduced photonic crystal parametric oscillator, Marty et al. Nat. Photonics, 15 , 53 (2021). Here, we discuss extensively the properties of this parametric source and compare the design with other geometries of photonic crystal resonators. Based on a statistical study over more than 100 resonators and 10 parametric oscillators, robustness against fabrication tolerances is assessed, performances are evaluated in terms of average values and their dispersion, and the dependence on the main parameters is shown to follow the theoretical scaling. The lowest pump power at threshold is \approx 40 \muW and we show the existence of a minimum value of the cavity photon lifetime as a condition for parametric oscillation, which is related to three photon absorption. |
| doi_str_mv | 10.1109/JSTQE.2022.3229164 |
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This condition is achieved in the recently introduced photonic crystal parametric oscillator, Marty et al. Nat. Photonics, 15 , 53 (2021). Here, we discuss extensively the properties of this parametric source and compare the design with other geometries of photonic crystal resonators. Based on a statistical study over more than 100 resonators and 10 parametric oscillators, robustness against fabrication tolerances is assessed, performances are evaluated in terms of average values and their dispersion, and the dependence on the main parameters is shown to follow the theoretical scaling. The lowest pump power at threshold is <inline-formula><tex-math notation="LaTeX">\approx</tex-math></inline-formula> 40 <inline-formula><tex-math notation="LaTeX">\mu</tex-math></inline-formula>W and we show the existence of a minimum value of the cavity photon lifetime as a condition for parametric oscillation, which is related to three photon absorption.]]></description><identifier>ISSN: 1077-260X</identifier><identifier>EISSN: 1558-4542</identifier><identifier>DOI: 10.1109/JSTQE.2022.3229164</identifier><identifier>CODEN: IJSQEN</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>cavity resonators ; Dispersion ; Engineering Sciences ; Four-wave mixing ; Holes ; Micro and nanotechnologies ; Microelectronics ; nonlinear optics ; Optical parametric oscillators ; Optical pumping ; Optical ring resonators ; Oscillators ; Parametric amplifiers ; Photon absorption ; Photonic crystals ; Photonics ; Photons ; Resonant frequency ; Resonators ; Tolerances</subject><ispartof>IEEE journal of selected topics in quantum electronics, 2023-01, Vol.29 (1: Nonlinear Integrated Photonics), p.1-13</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2023</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c378t-56b2a6457bd5f7480272b15109b8f43dfb4b94d0f49058b9d4745330d3136f703</citedby><cites>FETCH-LOGICAL-c378t-56b2a6457bd5f7480272b15109b8f43dfb4b94d0f49058b9d4745330d3136f703</cites><orcidid>0000-0002-2063-2748 ; 0000-0001-9116-4083 ; 0000-0001-9769-7905</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9984842$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>230,314,780,784,796,885,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/9984842$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttps://hal.science/hal-04611688$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Chopin, Alexandre</creatorcontrib><creatorcontrib>Marty, Gabriel</creatorcontrib><creatorcontrib>Ghorbel, Ines</creatorcontrib><creatorcontrib>Moille, Gregory</creatorcontrib><creatorcontrib>Martin, Aude</creatorcontrib><creatorcontrib>Combrie, Sylvain</creatorcontrib><creatorcontrib>Raineri, Fabrice</creatorcontrib><creatorcontrib>De Rossi, Alfredo</creatorcontrib><title>Canonical Resonant Four-Wave-Mixing in Photonic Crystal Cavities : tuning, tolerances and scaling</title><title>IEEE journal of selected topics in quantum electronics</title><addtitle>JSTQE</addtitle><description><![CDATA[We refer to Canonical Resonant Four-Wave-Mixing when only four (three in the degenerate case) modes of the cavity are able to interact through this parametric process; thereby inhibiting competing parametric processes. This condition is achieved in the recently introduced photonic crystal parametric oscillator, Marty et al. Nat. Photonics, 15 , 53 (2021). Here, we discuss extensively the properties of this parametric source and compare the design with other geometries of photonic crystal resonators. Based on a statistical study over more than 100 resonators and 10 parametric oscillators, robustness against fabrication tolerances is assessed, performances are evaluated in terms of average values and their dispersion, and the dependence on the main parameters is shown to follow the theoretical scaling. The lowest pump power at threshold is <inline-formula><tex-math notation="LaTeX">\approx</tex-math></inline-formula> 40 <inline-formula><tex-math notation="LaTeX">\mu</tex-math></inline-formula>W and we show the existence of a minimum value of the cavity photon lifetime as a condition for parametric oscillation, which is related to three photon absorption.]]></description><subject>cavity resonators</subject><subject>Dispersion</subject><subject>Engineering Sciences</subject><subject>Four-wave mixing</subject><subject>Holes</subject><subject>Micro and nanotechnologies</subject><subject>Microelectronics</subject><subject>nonlinear optics</subject><subject>Optical parametric oscillators</subject><subject>Optical pumping</subject><subject>Optical ring resonators</subject><subject>Oscillators</subject><subject>Parametric amplifiers</subject><subject>Photon absorption</subject><subject>Photonic crystals</subject><subject>Photonics</subject><subject>Photons</subject><subject>Resonant frequency</subject><subject>Resonators</subject><subject>Tolerances</subject><issn>1077-260X</issn><issn>1558-4542</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kF1LwzAYhYsoOKd_QG8CXgl25rNpvBtlc8rEr4nehbRNXcZMZtMN9-9N7dhN3nB4zuF9TxSdIzhACIqbh7fZy2iAIcYDgrFACT2IeoixNKaM4sPwh5zHOIGfx9GJ9wsIYUpT2ItUpqyzplBL8Kq9s8o2YOzWdfyhNjp-NL_GfgFjwfPcNS0Hsnrrm0BnamMaoz24Bc3aBuoaNG6pa2WLICpbAh9Cg34aHVVq6fXZbvaj9_Folk3i6dPdfTacxgXhaROzJMcqoYznJat42A1znCMWjsvTipKyymkuaAkrKiBLc1FSThkhsCSIJBWHpB9ddblztZSr2nyreiudMnIynMpWgzRBKEnTDQrsZceuavez1r6Ri3CzDetJzJmgkIYnULijitp5X-tqH4ugbGuX_7XLtna5qz2YLjqT0VrvDUKEuikmfyb7fJs</recordid><startdate>20230101</startdate><enddate>20230101</enddate><creator>Chopin, Alexandre</creator><creator>Marty, Gabriel</creator><creator>Ghorbel, Ines</creator><creator>Moille, Gregory</creator><creator>Martin, Aude</creator><creator>Combrie, Sylvain</creator><creator>Raineri, Fabrice</creator><creator>De Rossi, Alfredo</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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This condition is achieved in the recently introduced photonic crystal parametric oscillator, Marty et al. Nat. Photonics, 15 , 53 (2021). Here, we discuss extensively the properties of this parametric source and compare the design with other geometries of photonic crystal resonators. Based on a statistical study over more than 100 resonators and 10 parametric oscillators, robustness against fabrication tolerances is assessed, performances are evaluated in terms of average values and their dispersion, and the dependence on the main parameters is shown to follow the theoretical scaling. The lowest pump power at threshold is <inline-formula><tex-math notation="LaTeX">\approx</tex-math></inline-formula> 40 <inline-formula><tex-math notation="LaTeX">\mu</tex-math></inline-formula>W and we show the existence of a minimum value of the cavity photon lifetime as a condition for parametric oscillation, which is related to three photon absorption.]]></abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/JSTQE.2022.3229164</doi><tpages>13</tpages><orcidid>https://orcid.org/0000-0002-2063-2748</orcidid><orcidid>https://orcid.org/0000-0001-9116-4083</orcidid><orcidid>https://orcid.org/0000-0001-9769-7905</orcidid></addata></record> |
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| subjects | cavity resonators Dispersion Engineering Sciences Four-wave mixing Holes Micro and nanotechnologies Microelectronics nonlinear optics Optical parametric oscillators Optical pumping Optical ring resonators Oscillators Parametric amplifiers Photon absorption Photonic crystals Photonics Photons Resonant frequency Resonators Tolerances |
| title | Canonical Resonant Four-Wave-Mixing in Photonic Crystal Cavities : tuning, tolerances and scaling |
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