Binbin Zhou, Mattias Rasmussen, Soheil Zibod, Siqi Yan, Narwan Kabir Noori, Oliver Nagy, Yunhong Ding, Simon Jappe Lange, Ksenia Dolgaleva, Robert W. Boyd, Peter Uhd Jepsen
{"title":"Measurement of the Dispersion of χ(3) of SiO2 and SiN Across the THz and Far-Infrared Frequency Bands","authors":"Binbin Zhou, Mattias Rasmussen, Soheil Zibod, Siqi Yan, Narwan Kabir Noori, Oliver Nagy, Yunhong Ding, Simon Jappe Lange, Ksenia Dolgaleva, Robert W. Boyd, Peter Uhd Jepsen","doi":"10.1002/lpor.202301321","DOIUrl":null,"url":null,"abstract":"Terahertz (THz) radiation sources based on two-color femtosecond plasmas in air are becoming a mature technology for coherent spectroscopy and strong-field physics across the extended THz range to several tens of THz. The field-resolved detection of such THz transients relies on the third-order nonlinearity of the detection medium. Here, a comparative measurement is demonstrated with air-biased coherent detection (ABCD) and solid-state biased detection (SSBCD) as a novel method to measure the dispersion of the magnitude and phase of the relevant third-order nonlinearity <span data-altimg=\"/cms/asset/c63bd32d-19b4-4c99-820a-f92dc61602d1/lpor202301321-math-0003.png\"></span><mjx-container ctxtmenu_counter=\"201\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/lpor202301321-math-0003.png\"><mjx-semantics><mjx-mrow data-semantic-children=\"5,24\" data-semantic-content=\"25,0\" data-semantic- data-semantic-role=\"simple function\" data-semantic-speech=\"chi Superscript left parenthesis 3 right parenthesis Baseline left parenthesis 2 omega plus or minus normal upper Omega semicolon omega comma omega comma plus or minus normal upper Omega right parenthesis\" data-semantic-type=\"appl\"><mjx-msup data-semantic-children=\"0,4\" data-semantic- data-semantic-parent=\"26\" data-semantic-role=\"simple function\" data-semantic-type=\"superscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"simple function\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.363em;\"><mjx-mrow data-semantic-children=\"2\" data-semantic-content=\"1,3\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\" size=\"s\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"4\" data-semantic-role=\"open\" data-semantic-type=\"fence\"><mjx-c></mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"4\" data-semantic-role=\"close\" data-semantic-type=\"fence\"><mjx-c></mjx-c></mjx-mo></mjx-mrow></mjx-script></mjx-msup><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"26\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-children=\"23\" data-semantic-content=\"6,18\" data-semantic- data-semantic-parent=\"26\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"24\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-children=\"21,11,12,13,14,15,22\" data-semantic-content=\"11,13,15\" data-semantic- data-semantic-parent=\"24\" data-semantic-role=\"sequence\" data-semantic-type=\"punctuated\"><mjx-mrow data-semantic-children=\"20,10\" data-semantic-content=\"9\" data-semantic- data-semantic-parent=\"23\" data-semantic-role=\"addition\" data-semantic-type=\"infixop\"><mjx-mrow data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"7,8\" data-semantic-content=\"19\" data-semantic- data-semantic-parent=\"21\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"20\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"20\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"20\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"infixop,±\" data-semantic-parent=\"21\" data-semantic-role=\"addition\" data-semantic-type=\"operator\" rspace=\"4\" space=\"4\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"21\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"punctuated\" data-semantic-parent=\"23\" data-semantic-role=\"unknown\" data-semantic-type=\"punctuation\" rspace=\"3\" style=\"margin-left: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"23\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"punctuated\" data-semantic-parent=\"23\" data-semantic-role=\"comma\" data-semantic-type=\"punctuation\" rspace=\"3\" style=\"margin-left: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"23\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"punctuated\" data-semantic-parent=\"23\" data-semantic-role=\"comma\" data-semantic-type=\"punctuation\" rspace=\"3\" style=\"margin-left: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-children=\"17\" data-semantic-content=\"16\" data-semantic- data-semantic-parent=\"23\" data-semantic-role=\"addition\" data-semantic-type=\"prefixop\"><mjx-mo data-semantic- data-semantic-operator=\"prefixop,±\" data-semantic-parent=\"22\" data-semantic-role=\"addition\" data-semantic-type=\"operator\" rspace=\"1\" style=\"margin-left: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"22\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"24\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:18638880:media:lpor202301321:lpor202301321-math-0003\" display=\"inline\" location=\"graphic/lpor202301321-math-0003.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-children=\"5,24\" data-semantic-content=\"25,0\" data-semantic-role=\"simple function\" data-semantic-speech=\"chi Superscript left parenthesis 3 right parenthesis Baseline left parenthesis 2 omega plus or minus normal upper Omega semicolon omega comma omega comma plus or minus normal upper Omega right parenthesis\" data-semantic-type=\"appl\"><msup data-semantic-=\"\" data-semantic-children=\"0,4\" data-semantic-parent=\"26\" data-semantic-role=\"simple function\" data-semantic-type=\"superscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"simple function\" data-semantic-type=\"identifier\">χ</mi><mrow data-semantic-=\"\" data-semantic-children=\"2\" data-semantic-content=\"1,3\" data-semantic-parent=\"5\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\"><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"4\" data-semantic-role=\"open\" data-semantic-type=\"fence\" stretchy=\"false\">(</mo><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\">3</mn><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"4\" data-semantic-role=\"close\" data-semantic-type=\"fence\" stretchy=\"false\">)</mo></mrow></msup><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"appl\" data-semantic-parent=\"26\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"></mo><mrow data-semantic-=\"\" data-semantic-children=\"23\" data-semantic-content=\"6,18\" data-semantic-parent=\"26\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\"><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"24\" data-semantic-role=\"open\" data-semantic-type=\"fence\" stretchy=\"false\">(</mo><mrow data-semantic-=\"\" data-semantic-children=\"21,11,12,13,14,15,22\" data-semantic-content=\"11,13,15\" data-semantic-parent=\"24\" data-semantic-role=\"sequence\" data-semantic-type=\"punctuated\"><mrow data-semantic-=\"\" data-semantic-children=\"20,10\" data-semantic-content=\"9\" data-semantic-parent=\"23\" data-semantic-role=\"addition\" data-semantic-type=\"infixop\"><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"7,8\" data-semantic-content=\"19\" data-semantic-parent=\"21\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"20\" data-semantic-role=\"integer\" data-semantic-type=\"number\">2</mn><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,\" data-semantic-parent=\"20\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"></mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"20\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\">ω</mi></mrow><mo data-semantic-=\"\" data-semantic-operator=\"infixop,±\" data-semantic-parent=\"21\" data-semantic-role=\"addition\" data-semantic-type=\"operator\">±</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"21\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\" mathvariant=\"normal\">Ω</mi></mrow><mo data-semantic-=\"\" data-semantic-operator=\"punctuated\" data-semantic-parent=\"23\" data-semantic-role=\"unknown\" data-semantic-type=\"punctuation\">;</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"23\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\">ω</mi><mo data-semantic-=\"\" data-semantic-operator=\"punctuated\" data-semantic-parent=\"23\" data-semantic-role=\"comma\" data-semantic-type=\"punctuation\">,</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"23\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\">ω</mi><mo data-semantic-=\"\" data-semantic-operator=\"punctuated\" data-semantic-parent=\"23\" data-semantic-role=\"comma\" data-semantic-type=\"punctuation\">,</mo><mrow data-semantic-=\"\" data-semantic-children=\"17\" data-semantic-content=\"16\" data-semantic-parent=\"23\" data-semantic-role=\"addition\" data-semantic-type=\"prefixop\"><mo data-semantic-=\"\" data-semantic-operator=\"prefixop,±\" data-semantic-parent=\"22\" data-semantic-role=\"addition\" data-semantic-type=\"operator\">±</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"22\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\" mathvariant=\"normal\">Ω</mi></mrow></mrow><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"24\" data-semantic-role=\"close\" data-semantic-type=\"fence\" stretchy=\"false\">)</mo></mrow></mrow>$\\chi ^{(3)}(2\\omega \\pm \\Omega;\\omega,\\omega,\\pm \\Omega)$</annotation></semantics></math></mjx-assistive-mml></mjx-container> for fused silica (<span data-altimg=\"/cms/asset/e25f1f29-9f79-484a-8ca7-5aa8080c20ab/lpor202301321-math-0004.png\"></span><mjx-container ctxtmenu_counter=\"202\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/lpor202301321-math-0004.png\"><mjx-semantics><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-role=\"unknown\" data-semantic-speech=\"upper S i upper O 2\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c></mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:18638880:media:lpor202301321:lpor202301321-math-0004\" display=\"inline\" location=\"graphic/lpor202301321-math-0004.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><msub data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-role=\"unknown\" data-semantic-speech=\"upper S i upper O 2\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">SiO</mi><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\">2</mn></msub>${\\rm SiO}_2$</annotation></semantics></math></mjx-assistive-mml></mjx-container>) and silicon nitride (SiN). Based on the development of the ultrabroadband SSBCD device with a detection bandwidth exceeding 30 THz, <span data-altimg=\"/cms/asset/49c9344e-c0eb-42e6-b887-acbe00adcb42/lpor202301321-math-0005.png\"></span><mjx-container ctxtmenu_counter=\"203\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/lpor202301321-math-0005.png\"><mjx-semantics><mjx-msup data-semantic-children=\"0,4\" data-semantic- data-semantic-role=\"greekletter\" data-semantic-speech=\"chi Superscript left parenthesis 3 right parenthesis\" data-semantic-type=\"superscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.363em;\"><mjx-mrow data-semantic-children=\"2\" data-semantic-content=\"1,3\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\" size=\"s\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"4\" data-semantic-role=\"open\" data-semantic-type=\"fence\"><mjx-c></mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"4\" data-semantic-role=\"close\" data-semantic-type=\"fence\"><mjx-c></mjx-c></mjx-mo></mjx-mrow></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:18638880:media:lpor202301321:lpor202301321-math-0005\" display=\"inline\" location=\"graphic/lpor202301321-math-0005.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><msup data-semantic-=\"\" data-semantic-children=\"0,4\" data-semantic-role=\"greekletter\" data-semantic-speech=\"chi Superscript left parenthesis 3 right parenthesis\" data-semantic-type=\"superscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"5\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\">χ</mi><mrow data-semantic-=\"\" data-semantic-children=\"2\" data-semantic-content=\"1,3\" data-semantic-parent=\"5\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\"><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"4\" data-semantic-role=\"open\" data-semantic-type=\"fence\" stretchy=\"false\">(</mo><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\">3</mn><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"4\" data-semantic-role=\"close\" data-semantic-type=\"fence\" stretchy=\"false\">)</mo></mrow></msup>$\\chi ^{(3)}$</annotation></semantics></math></mjx-assistive-mml></mjx-container> measurements are obtained across the 1–28 THz frequency range, hence covering the THz and far-infrared. It is shown that the vibrational modes in <span data-altimg=\"/cms/asset/858ef77e-543c-4a85-ac0a-6eb5a45b4be2/lpor202301321-math-0006.png\"></span><mjx-container ctxtmenu_counter=\"204\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/lpor202301321-math-0006.png\"><mjx-semantics><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-role=\"unknown\" data-semantic-speech=\"upper S i upper O 2\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c></mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:18638880:media:lpor202301321:lpor202301321-math-0006\" display=\"inline\" location=\"graphic/lpor202301321-math-0006.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><msub data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-role=\"unknown\" data-semantic-speech=\"upper S i upper O 2\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">SiO</mi><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\">2</mn></msub>${\\rm SiO}_2$</annotation></semantics></math></mjx-assistive-mml></mjx-container> and SiN in the THz range lead to strong resonant enhancement and dispersion of the nonlinearity. The SSBCD devices operate down to nanojoule (nJ) probe energy, and their is demonstrated by measuring the dielectric function of the Lorentzian line profile of transverse-optical (TO) phonon mode at 9 THz in single-crystal gallium arsenide (GaAs) and observing the weak phonon combination bands near the TO phonon.","PeriodicalId":204,"journal":{"name":"Laser & Photonics Reviews","volume":null,"pages":null},"PeriodicalIF":9.8000,"publicationDate":"2024-07-02","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.202301321","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}
引用次数: 0
Abstract
Terahertz (THz) radiation sources based on two-color femtosecond plasmas in air are becoming a mature technology for coherent spectroscopy and strong-field physics across the extended THz range to several tens of THz. The field-resolved detection of such THz transients relies on the third-order nonlinearity of the detection medium. Here, a comparative measurement is demonstrated with air-biased coherent detection (ABCD) and solid-state biased detection (SSBCD) as a novel method to measure the dispersion of the magnitude and phase of the relevant third-order nonlinearity for fused silica () and silicon nitride (SiN). Based on the development of the ultrabroadband SSBCD device with a detection bandwidth exceeding 30 THz, measurements are obtained across the 1–28 THz frequency range, hence covering the THz and far-infrared. It is shown that the vibrational modes in and SiN in the THz range lead to strong resonant enhancement and dispersion of the nonlinearity. The SSBCD devices operate down to nanojoule (nJ) probe energy, and their is demonstrated by measuring the dielectric function of the Lorentzian line profile of transverse-optical (TO) phonon mode at 9 THz in single-crystal gallium arsenide (GaAs) and observing the weak phonon combination bands near the TO phonon.
期刊介绍:
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