Model and phase-diagram analysis of photothermal instabilities in an optomechanical resonator
A study of the phototermal instabilities in a Fabry–Perot cavity is reported, where one mirror consists of a silicon-nitride membrane coated by the molecular organic semiconductor tris(8-hydroxyquinoline) aluminum and silver layers. We propose a theoretical model to describe the back-action associat...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa7e15 |
| _version_ | 1797750570930405376 |
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| author | Alessandra Bigongiari Antonio Ortu Francesco Fuso Ennio Arimondo Riccardo Mannella Donatella Ciampini |
| author_facet | Alessandra Bigongiari Antonio Ortu Francesco Fuso Ennio Arimondo Riccardo Mannella Donatella Ciampini |
| author_sort | Alessandra Bigongiari |
| collection | DOAJ |
| description | A study of the phototermal instabilities in a Fabry–Perot cavity is reported, where one mirror consists of a silicon-nitride membrane coated by the molecular organic semiconductor tris(8-hydroxyquinoline) aluminum and silver layers. We propose a theoretical model to describe the back-action associated with the delayed response of the cavity field to the radiation pressure force and the photothermal force. For the case under investigation, the photothermal force response occurs on a timescale that is comparable to that of mirror oscillations and dominates over the radiation pressure force. A phase diagram analysis has been performed to map the stability of the static solution as a function of the control parameters. The model equations are integrated numerically and the time history is compared to experimental measurements of the transmitted field and displacement of the membrane. In both experimental and theoretical data we observe large amplitude oscillations when the cavity length is scanned at a low speed compared to the growth rate of the instability. The perturbation is found to evolve through three regimes: sinusoidal oscillations, double peaks and single peaks followed by a lethargic regime. When the cavity length is scanned in opposite directions, dynamical hysteresis is observed, whose extension has a power law dependence on the scanning rate. |
| first_indexed | 2024-03-12T16:35:43Z |
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| id | doaj.art-9f6c441e100d46569f9a9e741b7ef78f |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:43Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-9f6c441e100d46569f9a9e741b7ef78f2023-08-08T14:54:58ZengIOP PublishingNew Journal of Physics1367-26302017-01-01191010300810.1088/1367-2630/aa7e15Model and phase-diagram analysis of photothermal instabilities in an optomechanical resonatorAlessandra Bigongiari0Antonio Ortu1Francesco Fuso2Ennio Arimondo3Riccardo Mannella4Donatella Ciampini5Dipartimento di Fisica ‘E. Fermi’, Università di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, ItalyDipartimento di Fisica ‘E. Fermi’, Università di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, ItalyDipartimento di Fisica ‘E. Fermi’, Università di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, Italy; INO-CNR, Via G. Moruzzi 1, I-56124 Pisa, Italy; CNISM, UdR Dipartimento di Fisica ‘E. Fermi’, Università di Pisa , Largo B. Pontecorvo 3, I-56127 Pisa, ItalyDipartimento di Fisica ‘E. Fermi’, Università di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, Italy; INO-CNR, Via G. Moruzzi 1, I-56124 Pisa, ItalyDipartimento di Fisica ‘E. Fermi’, Università di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, ItalyDipartimento di Fisica ‘E. Fermi’, Università di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, Italy; INO-CNR, Via G. Moruzzi 1, I-56124 Pisa, Italy; CNISM, UdR Dipartimento di Fisica ‘E. Fermi’, Università di Pisa , Largo B. Pontecorvo 3, I-56127 Pisa, ItalyA study of the phototermal instabilities in a Fabry–Perot cavity is reported, where one mirror consists of a silicon-nitride membrane coated by the molecular organic semiconductor tris(8-hydroxyquinoline) aluminum and silver layers. We propose a theoretical model to describe the back-action associated with the delayed response of the cavity field to the radiation pressure force and the photothermal force. For the case under investigation, the photothermal force response occurs on a timescale that is comparable to that of mirror oscillations and dominates over the radiation pressure force. A phase diagram analysis has been performed to map the stability of the static solution as a function of the control parameters. The model equations are integrated numerically and the time history is compared to experimental measurements of the transmitted field and displacement of the membrane. In both experimental and theoretical data we observe large amplitude oscillations when the cavity length is scanned at a low speed compared to the growth rate of the instability. The perturbation is found to evolve through three regimes: sinusoidal oscillations, double peaks and single peaks followed by a lethargic regime. When the cavity length is scanned in opposite directions, dynamical hysteresis is observed, whose extension has a power law dependence on the scanning rate.https://doi.org/10.1088/1367-2630/aa7e15cavity optomechanicsphotothermal instabilitiesnonlinear dynamics |
| spellingShingle | Alessandra Bigongiari Antonio Ortu Francesco Fuso Ennio Arimondo Riccardo Mannella Donatella Ciampini Model and phase-diagram analysis of photothermal instabilities in an optomechanical resonator New Journal of Physics cavity optomechanics photothermal instabilities nonlinear dynamics |
| title | Model and phase-diagram analysis of photothermal instabilities in an optomechanical resonator |
| title_full | Model and phase-diagram analysis of photothermal instabilities in an optomechanical resonator |
| title_fullStr | Model and phase-diagram analysis of photothermal instabilities in an optomechanical resonator |
| title_full_unstemmed | Model and phase-diagram analysis of photothermal instabilities in an optomechanical resonator |
| title_short | Model and phase-diagram analysis of photothermal instabilities in an optomechanical resonator |
| title_sort | model and phase diagram analysis of photothermal instabilities in an optomechanical resonator |
| topic | cavity optomechanics photothermal instabilities nonlinear dynamics |
| url | https://doi.org/10.1088/1367-2630/aa7e15 |
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