Modeling and Observation of Nonlinear Damping in Dissipation-Diluted Nanomechanical Resonators

Research output: Contribution to journal › Letter › Research › peer-review

Standard

Modeling and Observation of Nonlinear Damping in Dissipation-Diluted Nanomechanical Resonators. / Catalini, Letizia; Rossi, Massimiliano; Langman, Eric C.; Schliesser, Albert.

In: Physical Review Letters, Vol. 126, No. 17, 174101, 28.04.2021.

Research output: Contribution to journal › Letter › Research › peer-review

Harvard

Catalini, L, Rossi, M, Langman, EC & Schliesser, A 2021, 'Modeling and Observation of Nonlinear Damping in Dissipation-Diluted Nanomechanical Resonators', Physical Review Letters, vol. 126, no. 17, 174101. https://doi.org/10.1103/PhysRevLett.126.174101

APA

Catalini, L., Rossi, M., Langman, E. C., & Schliesser, A. (2021). Modeling and Observation of Nonlinear Damping in Dissipation-Diluted Nanomechanical Resonators. Physical Review Letters, 126(17), [174101]. https://doi.org/10.1103/PhysRevLett.126.174101

Vancouver

Catalini L, Rossi M, Langman EC, Schliesser A. Modeling and Observation of Nonlinear Damping in Dissipation-Diluted Nanomechanical Resonators. Physical Review Letters. 2021 Apr 28;126(17). 174101. https://doi.org/10.1103/PhysRevLett.126.174101

Author

Catalini, Letizia ; Rossi, Massimiliano ; Langman, Eric C. ; Schliesser, Albert. / Modeling and Observation of Nonlinear Damping in Dissipation-Diluted Nanomechanical Resonators. In: Physical Review Letters. 2021 ; Vol. 126, No. 17.

Bibtex

@article{059b0e87724842abb73593c0a388c92f,
title = "Modeling and Observation of Nonlinear Damping in Dissipation-Diluted Nanomechanical Resonators",
abstract = "Dissipation dilution enables extremely low linear loss in stressed, high aspect ratio nanomechanical resonators, such as strings or membranes. Here, we report on the observation and theoretical modeling of nonlinear dissipation in such structures. We introduce an analytical model based on von Karrnan theory, which can be numerically evaluated using finite-clement models for arbitrary geometries. We use this approach to predict nonlinear loss and (Duffing) frequency shift in ultracoherent phononic membrane resonators. A set of systematic measurements with silicon nitride membranes shows good agreement with the model for low-order soft-clamped modes. Our analysis also reveals quantitative connections between these nonlinearities and dissipation dilution. This is of interest for future device design and can provide important insight when diagnosing the performance of dissipation dilution in an experimental setting.",
keywords = "FREQUENCY",
author = "Letizia Catalini and Massimiliano Rossi and Langman, {Eric C.} and Albert Schliesser",
note = "Hy-Q",
year = "2021",
month = apr,
day = "28",
doi = "10.1103/PhysRevLett.126.174101",
language = "English",
volume = "126",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "17",

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RIS

TY - JOUR

T1 - Modeling and Observation of Nonlinear Damping in Dissipation-Diluted Nanomechanical Resonators

AU - Catalini, Letizia

AU - Rossi, Massimiliano

AU - Langman, Eric C.

AU - Schliesser, Albert

N1 - Hy-Q

PY - 2021/4/28

Y1 - 2021/4/28

N2 - Dissipation dilution enables extremely low linear loss in stressed, high aspect ratio nanomechanical resonators, such as strings or membranes. Here, we report on the observation and theoretical modeling of nonlinear dissipation in such structures. We introduce an analytical model based on von Karrnan theory, which can be numerically evaluated using finite-clement models for arbitrary geometries. We use this approach to predict nonlinear loss and (Duffing) frequency shift in ultracoherent phononic membrane resonators. A set of systematic measurements with silicon nitride membranes shows good agreement with the model for low-order soft-clamped modes. Our analysis also reveals quantitative connections between these nonlinearities and dissipation dilution. This is of interest for future device design and can provide important insight when diagnosing the performance of dissipation dilution in an experimental setting.

AB - Dissipation dilution enables extremely low linear loss in stressed, high aspect ratio nanomechanical resonators, such as strings or membranes. Here, we report on the observation and theoretical modeling of nonlinear dissipation in such structures. We introduce an analytical model based on von Karrnan theory, which can be numerically evaluated using finite-clement models for arbitrary geometries. We use this approach to predict nonlinear loss and (Duffing) frequency shift in ultracoherent phononic membrane resonators. A set of systematic measurements with silicon nitride membranes shows good agreement with the model for low-order soft-clamped modes. Our analysis also reveals quantitative connections between these nonlinearities and dissipation dilution. This is of interest for future device design and can provide important insight when diagnosing the performance of dissipation dilution in an experimental setting.

KW - FREQUENCY

U2 - 10.1103/PhysRevLett.126.174101

DO - 10.1103/PhysRevLett.126.174101

M3 - Letter

C2 - 33988425

VL - 126

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 17

M1 - 174101

ER -

ID: 272651276