TY - GEN
T1 - Phase noise reduction in an oscillator through coupling to an internal resonance
AU - Czaplewski, D. A.
AU - Strachan, B. S.
AU - Shaw, S. W.
AU - Dykman, M. I.
AU - Lopez, D.
N1 - Funding Information:
The authors would like to thank Dario Antonio for helpful discussions. This work was performed in part at the Center for Nanoscale Materials, a U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences User Facility under Contract No. DE-AC02-06CH11357. The submitted manuscript has been created by UChicago Argonne, LLC, Operator of Argonne National Laboratory (“Argonne”). Argonne, a U.S. Department of Energy Office of Science laboratory, is operated under Contract No. DE-AC02-06CH11357. The U.S. Government retains for itself, and others acting on its behalf, a paid-up nonexclusive, irrevocable worldwide license in said article to reproduce, prepare derivative works, distribute copies to the public, and perform publicly and display publicly, by or on behalf of the Government. The MSU work on this topic is supported by the DARPA MTO DEFYS program and by NSF grant 1234067.
PY - 2014
Y1 - 2014
N2 - In this paper, we describe an oscillator, operating at room temperature that can be operated in a condition of internal resonance, where a driven, in-plane mode of the MEMS frequency selective resonator interacts with a torsional mode, resulting in 70 dB decrease in phase noise at a 1 Hz offset as compared to the oscillator operating in driven mode alone. The resonator element is a clamped-clamped beam where the primary mode of oscillation is an in-plane flexural mode, which can be driven at a frequency where vibrational energy is coupled to a higher frequency torsional mode. The coupling to the torsional mode stabilizes the vibrational frequency of the primary mode, resulting in a measured phase noise of-90 dBc at 1 Hz offset and an Allan deviation of 4 x 10-9. These oscillators show similar behavior to quartz crystals and could be explored for use in timing applications where, currently, single mode resonator micro-and nano-mechanical oscillators are being used in applications such as clocks and frequency standards. We present a theoretical model that qualitatively explains the behavior and demonstrates that phase noise can be greatly reduced at the internal resonance condition.
AB - In this paper, we describe an oscillator, operating at room temperature that can be operated in a condition of internal resonance, where a driven, in-plane mode of the MEMS frequency selective resonator interacts with a torsional mode, resulting in 70 dB decrease in phase noise at a 1 Hz offset as compared to the oscillator operating in driven mode alone. The resonator element is a clamped-clamped beam where the primary mode of oscillation is an in-plane flexural mode, which can be driven at a frequency where vibrational energy is coupled to a higher frequency torsional mode. The coupling to the torsional mode stabilizes the vibrational frequency of the primary mode, resulting in a measured phase noise of-90 dBc at 1 Hz offset and an Allan deviation of 4 x 10-9. These oscillators show similar behavior to quartz crystals and could be explored for use in timing applications where, currently, single mode resonator micro-and nano-mechanical oscillators are being used in applications such as clocks and frequency standards. We present a theoretical model that qualitatively explains the behavior and demonstrates that phase noise can be greatly reduced at the internal resonance condition.
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U2 - 10.31438/trf.hh2014.21
DO - 10.31438/trf.hh2014.21
M3 - Conference contribution
AN - SCOPUS:84931084272
T3 - Technical Digest - Solid-State Sensors, Actuators, and Microsystems Workshop
SP - 80
EP - 82
BT - 2014 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2014
A2 - Allen, Mark G.
A2 - Mehregany, Mehran
PB - Transducer Research Foundation
T2 - 2014 Solid-State Sensors, Actuators and Microsystems Workshop, Hilton Head 2014
Y2 - 8 June 2014 through 12 June 2014
ER -