Cubic Nonlinearity of Tellurite and Chalcogenide Glasses: Terahertz-Field-Induced Second Harmonic Generation vs. Optical Kerr Effect
Third-order nonlinear susceptibilities <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>χ</mi><mrow><mfenced><mn>3</mn></mfenced></mrow></m...
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MDPI AG
2022-11-01
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| Online Access: | https://www.mdpi.com/2076-3417/12/22/11608 |
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| author | Sergey Bodrov Yuriy Sergeev Ekaterina Burova Aleksey Korytin Aleksey Murzanev Alexander Romashkin Andrey Stepanov |
| author_facet | Sergey Bodrov Yuriy Sergeev Ekaterina Burova Aleksey Korytin Aleksey Murzanev Alexander Romashkin Andrey Stepanov |
| author_sort | Sergey Bodrov |
| collection | DOAJ |
| description | Third-order nonlinear susceptibilities <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>χ</mi><mrow><mfenced><mn>3</mn></mfenced></mrow></msup><mfenced><mrow><mo>−</mo><mn>2</mn><mi>ω</mi><mo>;</mo><mi>ω</mi><mo>,</mo><mi>ω</mi><mo>,</mo><mn>0</mn></mrow></mfenced></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>χ</mi><mrow><mfenced><mn>3</mn></mfenced></mrow></msup><mfenced><mrow><mo>−</mo><mi>ω</mi><mo>;</mo><mi>ω</mi><mo>,</mo><mo>−</mo><mi>ω</mi><mo>,</mo><mi>ω</mi></mrow></mfenced></mrow></semantics></math></inline-formula> responsible for electric-field-induced second harmonic generation and the optical Kerr effect were measured and directly compared for tellurite and chalcogenide glasses. The nonlinear coefficients were found by measuring the second harmonic radiation from samples under the action of an external field of terahertz pulses and by the classical z-scan technique, respectively. The influence of ambient air and helium gas on second harmonic generation was analyzed. It was demonstrated that both susceptibilities <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>χ</mi><mrow><mfenced><mn>3</mn></mfenced></mrow></msup><mfenced><mrow><mo>−</mo><mn>2</mn><mi>ω</mi><mo>;</mo><mi>ω</mi><mo>,</mo><mi>ω</mi><mo>,</mo><mn>0</mn></mrow></mfenced></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>χ</mi><mrow><mfenced><mn>3</mn></mfenced></mrow></msup><mfenced><mrow><mo>−</mo><mi>ω</mi><mo>;</mo><mi>ω</mi><mo>,</mo><mo>−</mo><mi>ω</mi><mo>,</mo><mi>ω</mi></mrow></mfenced></mrow></semantics></math></inline-formula> have close absolute values, which shows the dominant role of nonresonant electronic nonlinearity in the studied glasses. |
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| spelling | doaj.art-9c24d38c01bc40c79f92c5290d06541e2023-11-24T07:38:02ZengMDPI AGApplied Sciences2076-34172022-11-0112221160810.3390/app122211608Cubic Nonlinearity of Tellurite and Chalcogenide Glasses: Terahertz-Field-Induced Second Harmonic Generation vs. Optical Kerr EffectSergey Bodrov0Yuriy Sergeev1Ekaterina Burova2Aleksey Korytin3Aleksey Murzanev4Alexander Romashkin5Andrey Stepanov6Institute of Applied Physics, Russian Academy of Sciences, 603950 Nizhny Novgorod, RussiaInstitute of Applied Physics, Russian Academy of Sciences, 603950 Nizhny Novgorod, RussiaDepartment of General Physics, University of Nizhny Novgorod, 603022 Nizhny Novgorod, RussiaInstitute of Applied Physics, Russian Academy of Sciences, 603950 Nizhny Novgorod, RussiaInstitute of Applied Physics, Russian Academy of Sciences, 603950 Nizhny Novgorod, RussiaInstitute of Applied Physics, Russian Academy of Sciences, 603950 Nizhny Novgorod, RussiaInstitute of Applied Physics, Russian Academy of Sciences, 603950 Nizhny Novgorod, RussiaThird-order nonlinear susceptibilities <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>χ</mi><mrow><mfenced><mn>3</mn></mfenced></mrow></msup><mfenced><mrow><mo>−</mo><mn>2</mn><mi>ω</mi><mo>;</mo><mi>ω</mi><mo>,</mo><mi>ω</mi><mo>,</mo><mn>0</mn></mrow></mfenced></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>χ</mi><mrow><mfenced><mn>3</mn></mfenced></mrow></msup><mfenced><mrow><mo>−</mo><mi>ω</mi><mo>;</mo><mi>ω</mi><mo>,</mo><mo>−</mo><mi>ω</mi><mo>,</mo><mi>ω</mi></mrow></mfenced></mrow></semantics></math></inline-formula> responsible for electric-field-induced second harmonic generation and the optical Kerr effect were measured and directly compared for tellurite and chalcogenide glasses. The nonlinear coefficients were found by measuring the second harmonic radiation from samples under the action of an external field of terahertz pulses and by the classical z-scan technique, respectively. The influence of ambient air and helium gas on second harmonic generation was analyzed. It was demonstrated that both susceptibilities <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>χ</mi><mrow><mfenced><mn>3</mn></mfenced></mrow></msup><mfenced><mrow><mo>−</mo><mn>2</mn><mi>ω</mi><mo>;</mo><mi>ω</mi><mo>,</mo><mi>ω</mi><mo>,</mo><mn>0</mn></mrow></mfenced></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>χ</mi><mrow><mfenced><mn>3</mn></mfenced></mrow></msup><mfenced><mrow><mo>−</mo><mi>ω</mi><mo>;</mo><mi>ω</mi><mo>,</mo><mo>−</mo><mi>ω</mi><mo>,</mo><mi>ω</mi></mrow></mfenced></mrow></semantics></math></inline-formula> have close absolute values, which shows the dominant role of nonresonant electronic nonlinearity in the studied glasses.https://www.mdpi.com/2076-3417/12/22/11608tellurite glasseschalcogenide glassesthird-order nonlinearityterahertz pulsessecond harmonic generationoptical Kerr effect |
| spellingShingle | Sergey Bodrov Yuriy Sergeev Ekaterina Burova Aleksey Korytin Aleksey Murzanev Alexander Romashkin Andrey Stepanov Cubic Nonlinearity of Tellurite and Chalcogenide Glasses: Terahertz-Field-Induced Second Harmonic Generation vs. Optical Kerr Effect Applied Sciences tellurite glasses chalcogenide glasses third-order nonlinearity terahertz pulses second harmonic generation optical Kerr effect |
| title | Cubic Nonlinearity of Tellurite and Chalcogenide Glasses: Terahertz-Field-Induced Second Harmonic Generation vs. Optical Kerr Effect |
| title_full | Cubic Nonlinearity of Tellurite and Chalcogenide Glasses: Terahertz-Field-Induced Second Harmonic Generation vs. Optical Kerr Effect |
| title_fullStr | Cubic Nonlinearity of Tellurite and Chalcogenide Glasses: Terahertz-Field-Induced Second Harmonic Generation vs. Optical Kerr Effect |
| title_full_unstemmed | Cubic Nonlinearity of Tellurite and Chalcogenide Glasses: Terahertz-Field-Induced Second Harmonic Generation vs. Optical Kerr Effect |
| title_short | Cubic Nonlinearity of Tellurite and Chalcogenide Glasses: Terahertz-Field-Induced Second Harmonic Generation vs. Optical Kerr Effect |
| title_sort | cubic nonlinearity of tellurite and chalcogenide glasses terahertz field induced second harmonic generation vs optical kerr effect |
| topic | tellurite glasses chalcogenide glasses third-order nonlinearity terahertz pulses second harmonic generation optical Kerr effect |
| url | https://www.mdpi.com/2076-3417/12/22/11608 |
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