Intensity Modulation of Two Weakly Coupled Stimulated Oscillating Mechanical Modes in an Optomechanical Microbubble Resonator

We report that when two stimulating mechanical modes in an optomechanical microbubble resonator are weakly coupled to each other, strong oscillation intensity modulation occurs. The modulation was theoretically expected and experimentally observed. We theoretically derived the expressions of the cou...

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Main Authors: Xiayuqi Yu, Lei Xu, Liying Liu
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/10/4/365
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author Xiayuqi Yu
Lei Xu
Liying Liu
author_facet Xiayuqi Yu
Lei Xu
Liying Liu
author_sort Xiayuqi Yu
collection DOAJ
description We report that when two stimulating mechanical modes in an optomechanical microbubble resonator are weakly coupled to each other, strong oscillation intensity modulation occurs. The modulation was theoretically expected and experimentally observed. We theoretically derived the expressions of the coupling coefficient between the mechanical modes and calculated the region where weak coupling happens. We found that weak coupling exists when the optical quality factor of the microcavity is high and the detuning of the pump laser is close to the beat frequency of the two mechanical modes. Experimentally, we observed that when two mechanical modes are both in stimulated oscillation, they undergo strong intensity modulation as the optical pump power changes, and the coupling coefficient of the two modes is estimated to be 0.962 at the pump power when one mode is in the stimulated region and the other mode is at a stimulating threshold; this proves that the two mechanical modes are weakly coupled. Our results extended the weak coupling conclusion in multimode laser emission to stimulated oscillation in multiple mechanical modes.
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spelling doaj.art-bd7f2ccd966f40bb8326c81b4fa25dce2023-11-17T20:57:01ZengMDPI AGPhotonics2304-67322023-03-0110436510.3390/photonics10040365Intensity Modulation of Two Weakly Coupled Stimulated Oscillating Mechanical Modes in an Optomechanical Microbubble ResonatorXiayuqi Yu0Lei Xu1Liying Liu2Key Lab for Micro and Nanophotonic Structures (Ministry of Education, China), Department of Optical Science and Engineering, School of Information Science and Engineering, Fudan University, Shanghai 200433, ChinaKey Lab for Micro and Nanophotonic Structures (Ministry of Education, China), Department of Optical Science and Engineering, School of Information Science and Engineering, Fudan University, Shanghai 200433, ChinaKey Lab for Micro and Nanophotonic Structures (Ministry of Education, China), Department of Optical Science and Engineering, School of Information Science and Engineering, Fudan University, Shanghai 200433, ChinaWe report that when two stimulating mechanical modes in an optomechanical microbubble resonator are weakly coupled to each other, strong oscillation intensity modulation occurs. The modulation was theoretically expected and experimentally observed. We theoretically derived the expressions of the coupling coefficient between the mechanical modes and calculated the region where weak coupling happens. We found that weak coupling exists when the optical quality factor of the microcavity is high and the detuning of the pump laser is close to the beat frequency of the two mechanical modes. Experimentally, we observed that when two mechanical modes are both in stimulated oscillation, they undergo strong intensity modulation as the optical pump power changes, and the coupling coefficient of the two modes is estimated to be 0.962 at the pump power when one mode is in the stimulated region and the other mode is at a stimulating threshold; this proves that the two mechanical modes are weakly coupled. Our results extended the weak coupling conclusion in multimode laser emission to stimulated oscillation in multiple mechanical modes.https://www.mdpi.com/2304-6732/10/4/365cavity optomechanicsmechanical lasingmechanical weak couplingmicrobubble resonator
spellingShingle Xiayuqi Yu
Lei Xu
Liying Liu
Intensity Modulation of Two Weakly Coupled Stimulated Oscillating Mechanical Modes in an Optomechanical Microbubble Resonator
Photonics
cavity optomechanics
mechanical lasing
mechanical weak coupling
microbubble resonator
title Intensity Modulation of Two Weakly Coupled Stimulated Oscillating Mechanical Modes in an Optomechanical Microbubble Resonator
title_full Intensity Modulation of Two Weakly Coupled Stimulated Oscillating Mechanical Modes in an Optomechanical Microbubble Resonator
title_fullStr Intensity Modulation of Two Weakly Coupled Stimulated Oscillating Mechanical Modes in an Optomechanical Microbubble Resonator
title_full_unstemmed Intensity Modulation of Two Weakly Coupled Stimulated Oscillating Mechanical Modes in an Optomechanical Microbubble Resonator
title_short Intensity Modulation of Two Weakly Coupled Stimulated Oscillating Mechanical Modes in an Optomechanical Microbubble Resonator
title_sort intensity modulation of two weakly coupled stimulated oscillating mechanical modes in an optomechanical microbubble resonator
topic cavity optomechanics
mechanical lasing
mechanical weak coupling
microbubble resonator
url https://www.mdpi.com/2304-6732/10/4/365
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AT leixu intensitymodulationoftwoweaklycoupledstimulatedoscillatingmechanicalmodesinanoptomechanicalmicrobubbleresonator
AT liyingliu intensitymodulationoftwoweaklycoupledstimulatedoscillatingmechanicalmodesinanoptomechanicalmicrobubbleresonator