Amogh Raju, Divya Hungund, Dan Krueger, Zuoming Dong, Zarko Sakotic, Agham B. Posadas, Alexander A. Demkov, Daniel Wasserman
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{"title":"硅基低损耗钛酸钡高q单片环形谐振器","authors":"Amogh Raju, Divya Hungund, Dan Krueger, Zuoming Dong, Zarko Sakotic, Agham B. Posadas, Alexander A. Demkov, Daniel Wasserman","doi":"10.1002/lpor.202402086","DOIUrl":null,"url":null,"abstract":"The extremely large nonlinear optical response and CMOS compatibility of barium titanate make it particularly appealing for high-density, wide-bandwidth, and reduced power consumption optical components and devices for chip-scale photonics applications. However, without a dramatic reduction in material loss, barium titanate is unlikely to be a competitive alternative to existing nonlinear materials used in integrated photonics. This work investigates loss mechanisms in monolithic photonic structures fabricated from barium titanate grown epitaxially by RF-sputtering on silicon-on-insulator substrates. Barium titanate waveguide loss is investigated using three photonic architectures, and straight waveguide loss of less than <span data-altimg=\"/cms/asset/6bd30242-97c6-4cc2-91e9-19d3ea4447e9/lpor202402086-math-0001.png\"></span><mjx-container ctxtmenu_counter=\"2\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/lpor202402086-math-0001.png\"><mjx-semantics><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"0,2,7\" data-semantic-content=\"8,9\" data-semantic- data-semantic-role=\"implicit\" data-semantic-speech=\"0.15 d upper B c m Superscript negative 1\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"10\" data-semantic-role=\"float\" data-semantic-type=\"number\"><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"10\" data-semantic-role=\"space\" data-semantic-type=\"operator\" style=\"width: 0.16em;\"></mjx-mspace><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"10\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"10\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-msup data-semantic-children=\"3,6\" data-semantic- data-semantic-parent=\"10\" data-semantic-role=\"unknown\" data-semantic-type=\"superscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.363em;\"><mjx-mrow data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"5\" data-semantic-content=\"4\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"negative\" data-semantic-type=\"prefixop\" size=\"s\"><mjx-mo data-semantic- data-semantic-operator=\"prefixop,−\" data-semantic-parent=\"6\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" rspace=\"1\"><mjx-c></mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msup></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:18638880:media:lpor202402086:lpor202402086-math-0001\" display=\"inline\" location=\"graphic/lpor202402086-math-0001.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"0,2,7\" data-semantic-content=\"8,9\" data-semantic-role=\"implicit\" data-semantic-speech=\"0.15 d upper B c m Superscript negative 1\" data-semantic-type=\"infixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"10\" data-semantic-role=\"float\" data-semantic-type=\"number\">0.15</mn><mspace data-semantic-=\"\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"10\" data-semantic-role=\"space\" data-semantic-type=\"operator\" width=\"0.16em\"></mspace><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"10\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">dB</mi><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"10\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><msup data-semantic-=\"\" data-semantic-children=\"3,6\" data-semantic-parent=\"10\" data-semantic-role=\"unknown\" data-semantic-type=\"superscript\"><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"7\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">cm</mi><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"5\" data-semantic-content=\"4\" data-semantic-parent=\"7\" data-semantic-role=\"negative\" data-semantic-type=\"prefixop\"><mo data-semantic-=\"\" data-semantic-operator=\"prefixop,−\" data-semantic-parent=\"6\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\">−</mo><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\">1</mn></mrow></msup></mrow>$0.15 \\,{\\rm dB}\\mathrm{cm}^{-1}$</annotation></semantics></math></mjx-assistive-mml></mjx-container> is demonstrated, well below previously published loss measurements of barium titanate-containing waveguiding structures. High-Q barium titanate resonators with unloaded quality factors of <span data-altimg=\"/cms/asset/f9c871d6-297e-4557-b90a-1ff2ed0a6e0b/lpor202402086-math-0002.png\"></span><mjx-container ctxtmenu_counter=\"3\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/lpor202402086-math-0002.png\"><mjx-semantics><mjx-mrow data-semantic-children=\"0,7\" data-semantic-content=\"1\" data-semantic- data-semantic-role=\"equality\" data-semantic-speech=\"upper Q almost equals 5 times 10 Superscript 5\" data-semantic-type=\"relseq\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"relseq,≈\" data-semantic-parent=\"8\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" rspace=\"5\" space=\"5\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-children=\"2,6\" data-semantic-content=\"3\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"unknown\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"infixop,×\" data-semantic-parent=\"7\" data-semantic-role=\"unknown\" data-semantic-type=\"operator\" rspace=\"4\" space=\"4\"><mjx-c></mjx-c></mjx-mo><mjx-msup data-semantic-children=\"4,5\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"integer\" data-semantic-type=\"superscript\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mn><mjx-script style=\"vertical-align: 0.393em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c></mjx-c></mjx-mn></mjx-script></mjx-msup></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:18638880:media:lpor202402086:lpor202402086-math-0002\" display=\"inline\" location=\"graphic/lpor202402086-math-0002.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-children=\"0,7\" data-semantic-content=\"1\" data-semantic-role=\"equality\" data-semantic-speech=\"upper Q almost equals 5 times 10 Superscript 5\" data-semantic-type=\"relseq\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">Q</mi><mo data-semantic-=\"\" data-semantic-operator=\"relseq,≈\" data-semantic-parent=\"8\" data-semantic-role=\"equality\" data-semantic-type=\"relation\">≈</mo><mrow data-semantic-=\"\" data-semantic-children=\"2,6\" data-semantic-content=\"3\" data-semantic-parent=\"8\" data-semantic-role=\"unknown\" data-semantic-type=\"infixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"7\" data-semantic-role=\"integer\" data-semantic-type=\"number\">5</mn><mo data-semantic-=\"\" data-semantic-operator=\"infixop,×\" data-semantic-parent=\"7\" data-semantic-role=\"unknown\" data-semantic-type=\"operator\">×</mo><msup data-semantic-=\"\" data-semantic-children=\"4,5\" data-semantic-parent=\"7\" data-semantic-role=\"integer\" data-semantic-type=\"superscript\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\">10</mn><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\">5</mn></msup></mrow></mrow>$Q \\approx 5\\times 10^5$</annotation></semantics></math></mjx-assistive-mml></mjx-container> are demonstrated. The low loss of the barium titanate photonic structures, coupled with barium titanate's large non-linear optical response offers a path to compact and high-efficiency barium titanate photonic devices and structures for high-speed modulation, optical computing, and non-linear applications.","PeriodicalId":204,"journal":{"name":"Laser & Photonics Reviews","volume":"12 1","pages":""},"PeriodicalIF":9.8000,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"High-Q Monolithic Ring Resonators in Low-Loss Barium Titanate on Silicon\",\"authors\":\"Amogh Raju, Divya Hungund, Dan Krueger, Zuoming Dong, Zarko Sakotic, Agham B. Posadas, Alexander A. Demkov, Daniel Wasserman\",\"doi\":\"10.1002/lpor.202402086\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The extremely large nonlinear optical response and CMOS compatibility of barium titanate make it particularly appealing for high-density, wide-bandwidth, and reduced power consumption optical components and devices for chip-scale photonics applications. However, without a dramatic reduction in material loss, barium titanate is unlikely to be a competitive alternative to existing nonlinear materials used in integrated photonics. This work investigates loss mechanisms in monolithic photonic structures fabricated from barium titanate grown epitaxially by RF-sputtering on silicon-on-insulator substrates. Barium titanate waveguide loss is investigated using three photonic architectures, and straight waveguide loss of less than <span data-altimg=\\\"/cms/asset/6bd30242-97c6-4cc2-91e9-19d3ea4447e9/lpor202402086-math-0001.png\\\"></span><mjx-container ctxtmenu_counter=\\\"2\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/lpor202402086-math-0001.png\\\"><mjx-semantics><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"0,2,7\\\" data-semantic-content=\\\"8,9\\\" data-semantic- data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"0.15 d upper B c m Superscript negative 1\\\" data-semantic-type=\\\"infixop\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"float\\\" data-semantic-type=\\\"number\\\"><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"space\\\" data-semantic-type=\\\"operator\\\" style=\\\"width: 0.16em;\\\"></mjx-mspace><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-msup data-semantic-children=\\\"3,6\\\" data-semantic- data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"superscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: 0.363em;\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-children=\\\"5\\\" data-semantic-content=\\\"4\\\" data-semantic- data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"negative\\\" data-semantic-type=\\\"prefixop\\\" size=\\\"s\\\"><mjx-mo data-semantic- data-semantic-operator=\\\"prefixop,−\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" rspace=\\\"1\\\"><mjx-c></mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c></mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msup></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:18638880:media:lpor202402086:lpor202402086-math-0001\\\" display=\\\"inline\\\" location=\\\"graphic/lpor202402086-math-0001.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"0,2,7\\\" data-semantic-content=\\\"8,9\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"0.15 d upper B c m Superscript negative 1\\\" data-semantic-type=\\\"infixop\\\"><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"float\\\" data-semantic-type=\\\"number\\\">0.15</mn><mspace data-semantic-=\\\"\\\" data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"space\\\" data-semantic-type=\\\"operator\\\" width=\\\"0.16em\\\"></mspace><mi data-semantic-=\\\"\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\">dB</mi><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"></mo><msup data-semantic-=\\\"\\\" data-semantic-children=\\\"3,6\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"superscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\">cm</mi><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-children=\\\"5\\\" data-semantic-content=\\\"4\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"negative\\\" data-semantic-type=\\\"prefixop\\\"><mo data-semantic-=\\\"\\\" data-semantic-operator=\\\"prefixop,−\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\">−</mo><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">1</mn></mrow></msup></mrow>$0.15 \\\\,{\\\\rm dB}\\\\mathrm{cm}^{-1}$</annotation></semantics></math></mjx-assistive-mml></mjx-container> is demonstrated, well below previously published loss measurements of barium titanate-containing waveguiding structures. High-Q barium titanate resonators with unloaded quality factors of <span data-altimg=\\\"/cms/asset/f9c871d6-297e-4557-b90a-1ff2ed0a6e0b/lpor202402086-math-0002.png\\\"></span><mjx-container ctxtmenu_counter=\\\"3\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/lpor202402086-math-0002.png\\\"><mjx-semantics><mjx-mrow data-semantic-children=\\\"0,7\\\" data-semantic-content=\\\"1\\\" data-semantic- data-semantic-role=\\\"equality\\\" data-semantic-speech=\\\"upper Q almost equals 5 times 10 Superscript 5\\\" data-semantic-type=\\\"relseq\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\\\"relseq,≈\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"equality\\\" data-semantic-type=\\\"relation\\\" rspace=\\\"5\\\" space=\\\"5\\\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-children=\\\"2,6\\\" data-semantic-content=\\\"3\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"infixop\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\\\"infixop,×\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"operator\\\" rspace=\\\"4\\\" space=\\\"4\\\"><mjx-c></mjx-c></mjx-mo><mjx-msup data-semantic-children=\\\"4,5\\\" data-semantic- data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"superscript\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mn><mjx-script style=\\\"vertical-align: 0.393em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c></mjx-c></mjx-mn></mjx-script></mjx-msup></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:18638880:media:lpor202402086:lpor202402086-math-0002\\\" display=\\\"inline\\\" location=\\\"graphic/lpor202402086-math-0002.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow data-semantic-=\\\"\\\" data-semantic-children=\\\"0,7\\\" data-semantic-content=\\\"1\\\" data-semantic-role=\\\"equality\\\" data-semantic-speech=\\\"upper Q almost equals 5 times 10 Superscript 5\\\" data-semantic-type=\\\"relseq\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">Q</mi><mo data-semantic-=\\\"\\\" data-semantic-operator=\\\"relseq,≈\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"equality\\\" data-semantic-type=\\\"relation\\\">≈</mo><mrow data-semantic-=\\\"\\\" data-semantic-children=\\\"2,6\\\" data-semantic-content=\\\"3\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"infixop\\\"><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">5</mn><mo data-semantic-=\\\"\\\" data-semantic-operator=\\\"infixop,×\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"operator\\\">×</mo><msup data-semantic-=\\\"\\\" data-semantic-children=\\\"4,5\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"superscript\\\"><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">10</mn><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">5</mn></msup></mrow></mrow>$Q \\\\approx 5\\\\times 10^5$</annotation></semantics></math></mjx-assistive-mml></mjx-container> are demonstrated. The low loss of the barium titanate photonic structures, coupled with barium titanate's large non-linear optical response offers a path to compact and high-efficiency barium titanate photonic devices and structures for high-speed modulation, optical computing, and non-linear applications.\",\"PeriodicalId\":204,\"journal\":{\"name\":\"Laser & Photonics Reviews\",\"volume\":\"12 1\",\"pages\":\"\"},\"PeriodicalIF\":9.8000,\"publicationDate\":\"2025-04-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Laser & Photonics Reviews\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1002/lpor.202402086\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Laser & Photonics Reviews","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1002/lpor.202402086","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"OPTICS","Score":null,"Total":0}
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