We present a direct measurement of the displacement noise spectrum of a macroscopic silicon flexure at room temperature. A cantilever attached to the 100 μm thick flexure holds a mirror which forms part of an optical cavity to enhance the displacement sensitivity to thermal noise. We predict the displacement noise spectrum using a simple model that assumes the dominant source of frequency-dependent loss is thermo-elastic damping and find good agreement with the experimental data. The measurement is consistent with a frequency-independent loss of combined with frequency-dependent thermo-elastic damping as the dominant losses. A crossover between the two that occurs well above the flexure resonant frequency allows a broadband measurement of the thermal noise of the silicon flexure. The flexure material, geometry, and measurement band are similar to those of planned future gravitational wave detectors.
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9 January 2023
Research Article|
January 12 2023
Direct observation of the thermal noise spectrum of a silicon flexure membrane
Special Collection:
Gravitational Wave Detectors
D. P. Kapasi
;
D. P. Kapasi
a)
(Formal analysis, Validation, Visualization, Writing – original draft, Writing – review & editing)
OzGrav-ANU, ARC Centre for Gravitational Astrophysics, College of Science, The Australian National University
, Canberra ACT 2601, Australia
a)Author to whom correspondence should be addressed: [email protected]
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T. T-H. Nguyen;
T. T-H. Nguyen
(Conceptualization, Data curation, Formal analysis, Investigation, Methodology)
OzGrav-ANU, ARC Centre for Gravitational Astrophysics, College of Science, The Australian National University
, Canberra ACT 2601, Australia
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R. L. Ward
;
R. L. Ward
(Conceptualization, Funding acquisition, Investigation, Methodology, Supervision, Writing – review & editing)
OzGrav-ANU, ARC Centre for Gravitational Astrophysics, College of Science, The Australian National University
, Canberra ACT 2601, Australia
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J. Eichholz
;
J. Eichholz
(Supervision, Visualization, Writing – review & editing)
OzGrav-ANU, ARC Centre for Gravitational Astrophysics, College of Science, The Australian National University
, Canberra ACT 2601, Australia
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M. H. Iqbal;
M. H. Iqbal
(Investigation)
OzGrav-ANU, ARC Centre for Gravitational Astrophysics, College of Science, The Australian National University
, Canberra ACT 2601, Australia
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T. G. McRae
;
T. G. McRae
(Supervision, Writing – original draft, Writing – review & editing)
OzGrav-ANU, ARC Centre for Gravitational Astrophysics, College of Science, The Australian National University
, Canberra ACT 2601, Australia
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P. A. Altin
;
P. A. Altin
(Investigation, Methodology, Supervision, Validation, Writing – original draft, Writing – review & editing)
OzGrav-ANU, ARC Centre for Gravitational Astrophysics, College of Science, The Australian National University
, Canberra ACT 2601, Australia
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D. E. McClelland
;
D. E. McClelland
(Conceptualization, Funding acquisition, Project administration, Resources, Supervision)
OzGrav-ANU, ARC Centre for Gravitational Astrophysics, College of Science, The Australian National University
, Canberra ACT 2601, Australia
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B. J. J. Slagmolen
B. J. J. Slagmolen
(Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Writing – review & editing)
OzGrav-ANU, ARC Centre for Gravitational Astrophysics, College of Science, The Australian National University
, Canberra ACT 2601, Australia
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D. P. Kapasi
a)
T. T-H. Nguyen
R. L. Ward
J. Eichholz
M. H. Iqbal
T. G. McRae
P. A. Altin
D. E. McClelland
B. J. J. Slagmolen
OzGrav-ANU, ARC Centre for Gravitational Astrophysics, College of Science, The Australian National University
, Canberra ACT 2601, Australia
a)Author to whom correspondence should be addressed: [email protected]
Note: This paper is part of the APL Special Collection on Gravitational Wave Detectors.
Appl. Phys. Lett. 122, 022202 (2023)
Article history
Received:
October 25 2022
Accepted:
December 19 2022
Citation
D. P. Kapasi, T. T-H. Nguyen, R. L. Ward, J. Eichholz, M. H. Iqbal, T. G. McRae, P. A. Altin, D. E. McClelland, B. J. J. Slagmolen; Direct observation of the thermal noise spectrum of a silicon flexure membrane. Appl. Phys. Lett. 9 January 2023; 122 (2): 022202. https://doi.org/10.1063/5.0131984
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