Piezoelectrically transduced temperature compensated silicon resonators for timing and frequency reference applications

Dissertation

Antti Jaakkola

Research output: ThesisDissertationCollection of Articles

Abstract

Reference oscillators are used in a wide range of electronic devices for timing and for providing the frequency reference signals for wireless communications. Typically, an oscillator has to be based on a mechanical resonator, and for many decades, quartz crystals have served for this purpose. With the progress of microelectromechanical system (MEMS) technologies, silicon resonators have been developed for providing similar functionality as quartz. A silicon MEMS resonator can offer several advantages over quartz, such as smaller device size, decreased costs, and integration with other electronics. This work focuses on two challenges in silicon resonators: First, electromechanical transduction of silicon resonators has typically been achieved with electrostatic coupling, which is inherently quite weak and requires DC biasing of the devices and tends to complicate fabrication. Transduction based on a piezoelectric thin film on top of the resonator has been investigated as an alternative. Second, the resonance frequency of a silicon resonator is orders of magnitude more sensitive to temperature variations than that of a quartz crystal. Degenerate doping of silicon can be used to drastically reduce this effect. The first part of the work concentrates on the design, fabrication and characterization of piezoelectrically transduced silicon resonators. An oscillator based on a width extensional resonator operating at a frequency 24 MHz is demonstrated to have a phase noise -128 dBc/Hz at a 1-kHz offset from the carrier. An experimental test is conducted on piezoelectrically transduced square extensional mode resonators, whose dimensions are varied so that the main resonance mode occurs at a frequency range of f = 13 ... 30 MHz. As a result, an anchor coupling effect is identified and a subharmonic nonlinear coupling mechanism is discovered. In the second part of the work, the effect of degenerate doping on the elastic parameters of silicon is investigated experimentally, with a focus on temperature compensation. Resonance modes that can be temperature compensated using doping are identified, and design rules for the optimization of the frequency stability are developed. The elastic parameters of silicon are determined as a function of temperature and n-type doping up to a level of n = 7.5x1019cm-3, enabling modelling of the frequency-vs-temperature characteristics of an arbitrary resonator design. Extrapolation from the results yields a prediction of full second order temperature compensation in optimally designed resonators for n-type doping level above 1020cm-3. The prediction is experimentally verified by the demonstration of piezoelectrically transduced resonators with frequency stability within +/- 10 ppm on a temperature range of T = -40 ... +85C, on par with the best quartz crystals.
Original languageEnglish
QualificationDoctor Degree
Awarding Institution
  • Aalto University
Supervisors/Advisors
  • Kaivola, Matti, Supervisor, External person
  • Pensala, Tuomas, Advisor
Award date29 Jan 2016
Publisher
Print ISBNs978-952-60-6615-8 , 978-951-38-8388-1
Electronic ISBNs978-952-60-6616-5, 978-951-38-8387-4
Publication statusPublished - 2015
MoE publication typeG5 Doctoral dissertation (article)

Fingerprint

resonators
time measurement
silicon
temperature
quartz crystals
temperature compensation
frequency stability
oscillators
microelectromechanical systems
quartz
fabrication
wireless communication
predictions
electronics
extrapolation
frequency ranges
direct current
electrostatics
costs
optimization

Keywords

  • MEMS
  • silicon resonators
  • temperature compensation
  • doping
  • AlN

Cite this

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title = "Piezoelectrically transduced temperature compensated silicon resonators for timing and frequency reference applications: Dissertation",
abstract = "Reference oscillators are used in a wide range of electronic devices for timing and for providing the frequency reference signals for wireless communications. Typically, an oscillator has to be based on a mechanical resonator, and for many decades, quartz crystals have served for this purpose. With the progress of microelectromechanical system (MEMS) technologies, silicon resonators have been developed for providing similar functionality as quartz. A silicon MEMS resonator can offer several advantages over quartz, such as smaller device size, decreased costs, and integration with other electronics. This work focuses on two challenges in silicon resonators: First, electromechanical transduction of silicon resonators has typically been achieved with electrostatic coupling, which is inherently quite weak and requires DC biasing of the devices and tends to complicate fabrication. Transduction based on a piezoelectric thin film on top of the resonator has been investigated as an alternative. Second, the resonance frequency of a silicon resonator is orders of magnitude more sensitive to temperature variations than that of a quartz crystal. Degenerate doping of silicon can be used to drastically reduce this effect. The first part of the work concentrates on the design, fabrication and characterization of piezoelectrically transduced silicon resonators. An oscillator based on a width extensional resonator operating at a frequency 24 MHz is demonstrated to have a phase noise -128 dBc/Hz at a 1-kHz offset from the carrier. An experimental test is conducted on piezoelectrically transduced square extensional mode resonators, whose dimensions are varied so that the main resonance mode occurs at a frequency range of f = 13 ... 30 MHz. As a result, an anchor coupling effect is identified and a subharmonic nonlinear coupling mechanism is discovered. In the second part of the work, the effect of degenerate doping on the elastic parameters of silicon is investigated experimentally, with a focus on temperature compensation. Resonance modes that can be temperature compensated using doping are identified, and design rules for the optimization of the frequency stability are developed. The elastic parameters of silicon are determined as a function of temperature and n-type doping up to a level of n = 7.5x1019cm-3, enabling modelling of the frequency-vs-temperature characteristics of an arbitrary resonator design. Extrapolation from the results yields a prediction of full second order temperature compensation in optimally designed resonators for n-type doping level above 1020cm-3. The prediction is experimentally verified by the demonstration of piezoelectrically transduced resonators with frequency stability within +/- 10 ppm on a temperature range of T = -40 ... +85C, on par with the best quartz crystals.",
keywords = "MEMS, silicon resonators, temperature compensation, doping, AlN",
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Piezoelectrically transduced temperature compensated silicon resonators for timing and frequency reference applications : Dissertation. / Jaakkola, Antti.

Aalto University, 2015. 153 p.

Research output: ThesisDissertationCollection of Articles

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T1 - Piezoelectrically transduced temperature compensated silicon resonators for timing and frequency reference applications

T2 - Dissertation

AU - Jaakkola, Antti

PY - 2015

Y1 - 2015

N2 - Reference oscillators are used in a wide range of electronic devices for timing and for providing the frequency reference signals for wireless communications. Typically, an oscillator has to be based on a mechanical resonator, and for many decades, quartz crystals have served for this purpose. With the progress of microelectromechanical system (MEMS) technologies, silicon resonators have been developed for providing similar functionality as quartz. A silicon MEMS resonator can offer several advantages over quartz, such as smaller device size, decreased costs, and integration with other electronics. This work focuses on two challenges in silicon resonators: First, electromechanical transduction of silicon resonators has typically been achieved with electrostatic coupling, which is inherently quite weak and requires DC biasing of the devices and tends to complicate fabrication. Transduction based on a piezoelectric thin film on top of the resonator has been investigated as an alternative. Second, the resonance frequency of a silicon resonator is orders of magnitude more sensitive to temperature variations than that of a quartz crystal. Degenerate doping of silicon can be used to drastically reduce this effect. The first part of the work concentrates on the design, fabrication and characterization of piezoelectrically transduced silicon resonators. An oscillator based on a width extensional resonator operating at a frequency 24 MHz is demonstrated to have a phase noise -128 dBc/Hz at a 1-kHz offset from the carrier. An experimental test is conducted on piezoelectrically transduced square extensional mode resonators, whose dimensions are varied so that the main resonance mode occurs at a frequency range of f = 13 ... 30 MHz. As a result, an anchor coupling effect is identified and a subharmonic nonlinear coupling mechanism is discovered. In the second part of the work, the effect of degenerate doping on the elastic parameters of silicon is investigated experimentally, with a focus on temperature compensation. Resonance modes that can be temperature compensated using doping are identified, and design rules for the optimization of the frequency stability are developed. The elastic parameters of silicon are determined as a function of temperature and n-type doping up to a level of n = 7.5x1019cm-3, enabling modelling of the frequency-vs-temperature characteristics of an arbitrary resonator design. Extrapolation from the results yields a prediction of full second order temperature compensation in optimally designed resonators for n-type doping level above 1020cm-3. The prediction is experimentally verified by the demonstration of piezoelectrically transduced resonators with frequency stability within +/- 10 ppm on a temperature range of T = -40 ... +85C, on par with the best quartz crystals.

AB - Reference oscillators are used in a wide range of electronic devices for timing and for providing the frequency reference signals for wireless communications. Typically, an oscillator has to be based on a mechanical resonator, and for many decades, quartz crystals have served for this purpose. With the progress of microelectromechanical system (MEMS) technologies, silicon resonators have been developed for providing similar functionality as quartz. A silicon MEMS resonator can offer several advantages over quartz, such as smaller device size, decreased costs, and integration with other electronics. This work focuses on two challenges in silicon resonators: First, electromechanical transduction of silicon resonators has typically been achieved with electrostatic coupling, which is inherently quite weak and requires DC biasing of the devices and tends to complicate fabrication. Transduction based on a piezoelectric thin film on top of the resonator has been investigated as an alternative. Second, the resonance frequency of a silicon resonator is orders of magnitude more sensitive to temperature variations than that of a quartz crystal. Degenerate doping of silicon can be used to drastically reduce this effect. The first part of the work concentrates on the design, fabrication and characterization of piezoelectrically transduced silicon resonators. An oscillator based on a width extensional resonator operating at a frequency 24 MHz is demonstrated to have a phase noise -128 dBc/Hz at a 1-kHz offset from the carrier. An experimental test is conducted on piezoelectrically transduced square extensional mode resonators, whose dimensions are varied so that the main resonance mode occurs at a frequency range of f = 13 ... 30 MHz. As a result, an anchor coupling effect is identified and a subharmonic nonlinear coupling mechanism is discovered. In the second part of the work, the effect of degenerate doping on the elastic parameters of silicon is investigated experimentally, with a focus on temperature compensation. Resonance modes that can be temperature compensated using doping are identified, and design rules for the optimization of the frequency stability are developed. The elastic parameters of silicon are determined as a function of temperature and n-type doping up to a level of n = 7.5x1019cm-3, enabling modelling of the frequency-vs-temperature characteristics of an arbitrary resonator design. Extrapolation from the results yields a prediction of full second order temperature compensation in optimally designed resonators for n-type doping level above 1020cm-3. The prediction is experimentally verified by the demonstration of piezoelectrically transduced resonators with frequency stability within +/- 10 ppm on a temperature range of T = -40 ... +85C, on par with the best quartz crystals.

KW - MEMS

KW - silicon resonators

KW - temperature compensation

KW - doping

KW - AlN

M3 - Dissertation

SN - 978-952-60-6615-8

SN - 978-951-38-8388-1

T3 - VTT Science

PB - Aalto University

ER -