Frequency comb generation in a nonlinear resonator through mode coupling using a single tone driving signal

David A. Czaplewski; Steven W. Shaw; Oriel Shoshani; Mark I. Dykman; Daniel Lopez

doi:10.31438/trf.hh2018.21

Frequency comb generation in a nonlinear resonator through mode coupling using a single tone driving signal

David A. Czaplewski, Steven W. Shaw, Oriel Shoshani, Mark I. Dykman, Daniel Lopez

Department of Mechanical Engineering

Ben-Gurion University of the Negev

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, we demonstrate bursting behavior in a nonlinear microelectromechanical (MEMS) resonator that creates a frequency comb in the corresponding spectral response. The bursting behavior occurs for a single driving tone applied to the resonator. The bursting behavior arises from the non-linear analog of “level anti-crossing” in a 1:3 internal resonance that can efficiently transfer energy between two modes of a resonator at low excitation amplitudes. The internal resonance creates a region in parameter space where stable oscillations do not exist, resulting in a forbidden zone of operation.

Original language	American English
Title of host publication	2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018
Editors	Tina Lamers, Mina Rais-Zadeh
Pages	79-82
Number of pages	4
ISBN (Electronic)	9781940470030
DOIs	https://doi.org/10.31438/trf.hh2018.21
State	Published - 1 Jan 2018
Event	2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018 - Hilton Head, United States Duration: 3 Jun 2018 → 7 Jun 2018

Publication series

Name	2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018

Conference

Conference	2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018
Country/Territory	United States
City	Hilton Head
Period	3/06/18 → 7/06/18

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering
Hardware and Architecture

Access to Document

10.31438/trf.hh2018.21

Cite this

Czaplewski, D. A., Shaw, S. W., Shoshani, O., Dykman, M. I., & Lopez, D. (2018). Frequency comb generation in a nonlinear resonator through mode coupling using a single tone driving signal. In T. Lamers, & M. Rais-Zadeh (Eds.), 2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018 (pp. 79-82). (2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018). https://doi.org/10.31438/trf.hh2018.21

Czaplewski, David A. ; Shaw, Steven W. ; Shoshani, Oriel et al. / Frequency comb generation in a nonlinear resonator through mode coupling using a single tone driving signal. 2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018. editor / Tina Lamers ; Mina Rais-Zadeh. 2018. pp. 79-82 (2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018).

@inproceedings{f51ebe360d1f4825b5bbd81a0eafdb3d,

title = "Frequency comb generation in a nonlinear resonator through mode coupling using a single tone driving signal",

abstract = "In this paper, we demonstrate bursting behavior in a nonlinear microelectromechanical (MEMS) resonator that creates a frequency comb in the corresponding spectral response. The bursting behavior occurs for a single driving tone applied to the resonator. The bursting behavior arises from the non-linear analog of “level anti-crossing” in a 1:3 internal resonance that can efficiently transfer energy between two modes of a resonator at low excitation amplitudes. The internal resonance creates a region in parameter space where stable oscillations do not exist, resulting in a forbidden zone of operation.",

author = "Czaplewski, \{David A.\} and Shaw, \{Steven W.\} and Oriel Shoshani and Dykman, \{Mark I.\} and Daniel Lopez",

note = "Publisher Copyright: {\textcopyright} 2016 TRF.; 2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018 ; Conference date: 03-06-2018 Through 07-06-2018",

year = "2018",

month = jan,

day = "1",

doi = "10.31438/trf.hh2018.21",

language = "American English",

series = "2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018",

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Czaplewski, DA, Shaw, SW, Shoshani, O, Dykman, MI & Lopez, D 2018, Frequency comb generation in a nonlinear resonator through mode coupling using a single tone driving signal. in T Lamers & M Rais-Zadeh (eds), 2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018. 2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018, pp. 79-82, 2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018, Hilton Head, United States, 3/06/18. https://doi.org/10.31438/trf.hh2018.21

Frequency comb generation in a nonlinear resonator through mode coupling using a single tone driving signal. / Czaplewski, David A.; Shaw, Steven W.; Shoshani, Oriel et al.
2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018. ed. / Tina Lamers; Mina Rais-Zadeh. 2018. p. 79-82 (2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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PY - 2018/1/1

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N2 - In this paper, we demonstrate bursting behavior in a nonlinear microelectromechanical (MEMS) resonator that creates a frequency comb in the corresponding spectral response. The bursting behavior occurs for a single driving tone applied to the resonator. The bursting behavior arises from the non-linear analog of “level anti-crossing” in a 1:3 internal resonance that can efficiently transfer energy between two modes of a resonator at low excitation amplitudes. The internal resonance creates a region in parameter space where stable oscillations do not exist, resulting in a forbidden zone of operation.

AB - In this paper, we demonstrate bursting behavior in a nonlinear microelectromechanical (MEMS) resonator that creates a frequency comb in the corresponding spectral response. The bursting behavior occurs for a single driving tone applied to the resonator. The bursting behavior arises from the non-linear analog of “level anti-crossing” in a 1:3 internal resonance that can efficiently transfer energy between two modes of a resonator at low excitation amplitudes. The internal resonance creates a region in parameter space where stable oscillations do not exist, resulting in a forbidden zone of operation.

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M3 - Conference contribution

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BT - 2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018

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Czaplewski DA, Shaw SW, Shoshani O, Dykman MI, Lopez D. Frequency comb generation in a nonlinear resonator through mode coupling using a single tone driving signal. In Lamers T, Rais-Zadeh M, editors, 2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018. 2018. p. 79-82. (2018 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2018). doi: 10.31438/trf.hh2018.21

Frequency comb generation in a nonlinear resonator through mode coupling using a single tone driving signal

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