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Nonlinear Mechanisms in Encapsulated Micromechanical Resonators.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Nonlinear Mechanisms in Encapsulated Micromechanical Resonators./
Author:	Bousse, Nicholas Eric.
Description:	1 online resource (141 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 85-06, Section: B.
Contained By:	Dissertations Abstracts International85-06B.
Subject:	Silicon. -
Online resource:	click for full text (PQDT)
ISBN:	9798381027419

Nonlinear Mechanisms in Encapsulated Micromechanical Resonators.
Bousse, Nicholas Eric.

Nonlinear Mechanisms in Encapsulated Micromechanical Resonators. - 1 online resource (141 pages)

Source: Dissertations Abstracts International, Volume: 85-06, Section: B.

Thesis (Ph.D.)--Stanford University, 2023.

Includes bibliographical references

Resonant Micro-electromechanical systems (MEMS) are an important technology that underlies many of the resonant sensors and oscillators used in scientific research and commercial products. Studying core properties of the resonators that make up these systems allows for future improvements in the performance of existing systems and enables new applications of resonators.Capacitively coupled readout is a common method to measure the motion of a MEMS resonator; in this work, I consider the system of an encapsulated mechanical resonator capacitively coupled to a lossy readout. I demonstrate that losses induced due to coupling are highly dependent on the parasitic capacitance in the readout and the properties of the readout amplifier, and can reduce the quality factor of the mechanical system by a factor of 15. Nonlinear properties of resonant systems affect their applications as resonant sensors and oscillators in the linear regime, and in novel nonlinear modes. I explore a case of measurements of a doubly clamped beam resonator that features negative nonlinear dissipation. By performing both directly-driven and parametrically-pumped characterizations of the system, I measure nonlinear dissipation that makes the effective linewidth of the device decrease with amplitude. The dissipation appears to be drive-induced, as it does not appear in the free response of system. I then study the impacts of nonlinear phenomena on the phase noise of resonant systems, which is relevant for improving the performance of MEMS clocks. Using parametric pumping tuned to achieve maximum parametric suppression, which reduces the phase to frequency noise conversion in our amplifier-noise dominated measurement setup, I decrease the measured resonator phase noise by almost threefold.Nonlinearity also can be used as a means to readout a MEMS resonator. I demonstrate an implementation of dispersive readout in our epitaxially encapsulated resonators and characterize its performance by measuring a Lame mode resonator at room temperature. This novel readout achieves a displacement resolu- ´ tion of 522fm/ √ Hz, representing a state-of-the-art resolution for measurements of encapsulated bulk-mode resonators. I further demonstrate that the dispersive readout technique can be used to measure mechanical system properties from 12 K to below 1 K. At the lowest temperature of 500 mK, I measure the resonator quality factor as 7.8 million, and an f x Q product of 7.9 x 1013Hz, which is the highest known measured value for an encapsulated bulk-mode resonator.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024

Mode of access: World Wide Web

ISBN: 9798381027419Subjects--Topical Terms:

640033
Silicon.
Index Terms--Genre/Form:

554714
Electronic books.

Nonlinear Mechanisms in Encapsulated Micromechanical Resonators.
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500 $a Source: Dissertations Abstracts International, Volume: 85-06, Section: B.
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502 $a Thesis (Ph.D.)--Stanford University, 2023.
504 $a Includes bibliographical references
520 $a Resonant Micro-electromechanical systems (MEMS) are an important technology that underlies many of the resonant sensors and oscillators used in scientific research and commercial products. Studying core properties of the resonators that make up these systems allows for future improvements in the performance of existing systems and enables new applications of resonators.Capacitively coupled readout is a common method to measure the motion of a MEMS resonator; in this work, I consider the system of an encapsulated mechanical resonator capacitively coupled to a lossy readout. I demonstrate that losses induced due to coupling are highly dependent on the parasitic capacitance in the readout and the properties of the readout amplifier, and can reduce the quality factor of the mechanical system by a factor of 15. Nonlinear properties of resonant systems affect their applications as resonant sensors and oscillators in the linear regime, and in novel nonlinear modes. I explore a case of measurements of a doubly clamped beam resonator that features negative nonlinear dissipation. By performing both directly-driven and parametrically-pumped characterizations of the system, I measure nonlinear dissipation that makes the effective linewidth of the device decrease with amplitude. The dissipation appears to be drive-induced, as it does not appear in the free response of system. I then study the impacts of nonlinear phenomena on the phase noise of resonant systems, which is relevant for improving the performance of MEMS clocks. Using parametric pumping tuned to achieve maximum parametric suppression, which reduces the phase to frequency noise conversion in our amplifier-noise dominated measurement setup, I decrease the measured resonator phase noise by almost threefold.Nonlinearity also can be used as a means to readout a MEMS resonator. I demonstrate an implementation of dispersive readout in our epitaxially encapsulated resonators and characterize its performance by measuring a Lame mode resonator at room temperature. This novel readout achieves a displacement resolu- ´ tion of 522fm/ √ Hz, representing a state-of-the-art resolution for measurements of encapsulated bulk-mode resonators. I further demonstrate that the dispersive readout technique can be used to measure mechanical system properties from 12 K to below 1 K. At the lowest temperature of 500 mK, I measure the resonator quality factor as 7.8 million, and an f x Q product of 7.9 x 1013Hz, which is the highest known measured value for an encapsulated bulk-mode resonator.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2024
538 $a Mode of access: World Wide Web
650 4 $a Silicon. $3 640033
650 4 $a Integrated circuits. $3 561474
650 4 $a Transistors. $3 1091209
650 4 $a Sensors. $3 1003702
650 4 $a Electrical engineering. $3 596380
655 7 $a Electronic books. $2 local $3 554714
690 $a 0544
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Stanford University. $3 1184533
773 0 $t Dissertations Abstracts International $g 85-06B.
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