Experimental study of thermal noise caused by an inhomogeneously distributed loss - INSPIRE

DataBETA

Experimental study of thermal noise caused by an inhomogeneously distributed loss

2001

8 pages

Published in:

Phys.Lett.A 280 (2001) 289-296

Published: 2001

DOI:

10.1016/S0375-9601(01)00085-8

reference search14 citations

Citations per year

Abstract: (Elsevier)

The thermal fluctuation of a mechanical system with an inhomogeneously distributed loss was measured to prove the invalidity of the normal-mode expansion method which is commonly used to calculate the thermal noise of mechanical oscillators. The measured spectrum is inconsistent with the modal expansion model, while they agree well with an evaluation obtained by applying the fluctuation-dissipation theorem to the measured mechanical response. These are the first experimental results which show that mode expansion is invalid.

05.40.Jc
04.80.Nn
Thermal noise
Fluctuation–dissipation theorem
Mode expansion
Inhomogeneous loss
Precise measurement
Gravitational wave detector

References(15)

Figures(0)

[1]

LIGO: The Laser interferometer gravitational wave observatory

Alex Abramovici
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
William E. Althouse
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Ronald W.P. Drever
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Yekta Gursel
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Seiji Kawamura
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)

et al.

- Science 256 (1992) 325-333
•
DOI:
- 10.1126/science.256.5055.325

[2]

VIRGO collaboration, VIRGO Final Design Report

[3]

Proposal for a 600 m Laser-Interferometric Gravitational Wave Antenna, Max-Planck-Institut für Quantenoptik Report 190, Garching, Germany

K. Danzmann
,
H. Lück
,
A. Rüdiger
,
R. Schilling
,
M. Schrempel

et al.

[4]

Proc. TAMA Workshop on Gravitational Wave Detection, Saitama, November 1996

K. Tsubono

[5]

Thermal noise in mechanical experiments

Peter R. Saulson
(
- Colorado U.
)

- Phys.Rev.D 42 (1990) 2437-2445
•
DOI:
- 10.1103/PhysRevD.42.2437

[6]

Mechanical thermal noise in coupled oscillators

E Majorana
,
Y Ogawa

- Phys.Lett.A 233 (1997) 162-168
•
DOI:
- 10.1016/S0375-9601(97)00458-1

[7]

Internal thermal noise in the LIGO test masses: A Direct approach

Yu. Levin
(
- Caltech
)

- Phys.Rev.D 57 (1998) 659-663
•
e-Print:
- gr-qc/9707013
•
DOI:
- 10.1103/PhysRevD.57.659

[8]

Proc. TAMA Workshop on Gravitational Wave Detection, Saitama, November 1996

N. Ohishi
,
K. Kawabe
,
K. Tsubono

[9]

On a Theorem of Irreversible Thermodynamics

- Phys.Rev. 86 (1952) 702-710
•
DOI:
- 10.1103/PhysRev.86.702

[10]

Brownian motion of a torsion pendulum with internal friction

G.I. Gonzalez
(
- Syracuse U.
)
,
Peter R. Saulson
(
- Syracuse U.
)

- Phys.Lett.A 201 (1995) 12-18
•
DOI:
- 10.1016/0375-9601(95)00194-8

[11]

Wide band measurement of mechanical thermal noise using a laser interferometer

- Phys.Lett.A 263 (1999) 21-26,
- Phys.Lett.A 264 (1999) 251-256
•
DOI:
- 10.1016/S0375-9601(99)00636-2

[12]

Estimation of thermal noise by a direct measurement of the mechanical conductance

- Phys.Lett.A 266 (2000) 228-233
•
DOI:
- 10.1016/S0375-9601(99)00867-1

[13]

T.J. Quinn
,
C.C. Speake
,
L.M. Brown

- Phil.Mag.A 65 (1992) 261

[14]

P.R. Saulson
,
R.T. Stebbins
,
F.D. Dumont
,
S.E. Mock

- Rev.Sci.Instrum. 65 (1994) 182

[15]

Proc. 2nd TAMA Workshop on Gravitational Wave Detection, Tokyo, October 1999

K. Yamamoto
,
S. Otsuka
,
K. Kawabe
,
K. Tsubono