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

被引:371
作者
Levin, Y [1 ]
机构
[1] CALTECH, Pasadena, CA 91125 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.57.659
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The internal thermal noise in LIGO's test masses is analyzed by a new technique, a direct application of the fluctuation-dissipation theorem to LIGO's readout observable, x(t)=(longitudinal position of test-mass face, weighted by laser beam's Gaussian profile). Previous analyses, which relied on a normal-mode decomposition of the test-mass motion, were valid only if the dissipation is uniformally distributed over the test-mass interior, and they converged reliably to a final answer only when the beam size was a non-negligible fraction of the test-mass cross section. This paper's direct analysis, by contrast, can handle inhomogeneous dissipation and arbitrary beam sizes. In the domain of validity of the previous analysis, the two methods give the same answer for S-x(f), the spectral density of thermal noise, to within expected accuracy. The new analysis predicts that thermal noise due to dissipation concentrated in the test mass's front face (e.g., due to mirror coating) scales as 1/r(0)(2), by contrast with homogeneous dissipation, which scales as 1/r(0) (r(0) is the beam radius); so surface dissipation could become significant for small beam sizes.
引用
收藏
页码:659 / 663
页数:5
相关论文
共 12 条
  • [1] LIGO - THE LASER-INTERFEROMETER-GRAVITATIONAL-WAVE-OBSERVATORY
    ABRAMOVICI, A
    ALTHOUSE, WE
    DREVER, RWP
    GURSEL, Y
    KAWAMURA, S
    RAAB, FJ
    SHOEMAKER, D
    SIEVERS, L
    SPERO, RE
    THORNE, KS
    VOGT, RE
    WEISS, R
    WHITCOMB, SE
    ZUCKER, ME
    [J]. SCIENCE, 1992, 256 (5055) : 325 - 333
  • [2] MIRROR THERMAL NOISE IN INTERFEROMETRIC GRAVITATIONAL-WAVE DETECTORS
    BONDU, F
    VINET, JY
    [J]. PHYSICS LETTERS A, 1995, 198 (02) : 74 - 78
  • [3] THE VIRGO PROJECT - A WIDE BAND ANTENNA FOR GRAVITATIONAL-WAVE DETECTION
    BRADASCHIA, C
    DELFABBRO, R
    DIVIRGILIO, A
    GIAZOTTO, A
    KAUTZKY, H
    MONTELATICI, V
    PASSUELLO, D
    BRILLET, A
    CREGUT, O
    HELLO, P
    MAN, CN
    MANH, PT
    MARRAUD, A
    SHOEMAKER, D
    VINET, JY
    BARONE, F
    DIFIORE, L
    MILANO, L
    RUSSO, G
    AGUIRREGABIRIA, JM
    BEL, H
    DURUISSEAU, JP
    LEDENMAT, G
    TOURRENC, P
    CAPOZZI, M
    LONGO, M
    LOPS, M
    PINTO, I
    ROTOLI, G
    DAMOUR, T
    BONAZZOLA, S
    MARCK, JA
    GOURGHOULON, Y
    HOLLOWAY, LE
    FULIGNI, F
    IAFOLLA, V
    NATALE, G
    [J]. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1990, 289 (03) : 518 - 525
  • [4] Energy dissipation in the pendulum mode of the test mass suspension of a gravitational wave antenna
    Braginsky, VB
    Mitrofanov, VP
    Tokmakov, KV
    [J]. PHYSICS LETTERS A, 1996, 218 (3-6) : 164 - 166
  • [5] BRAGINSKY VB, COMMUNICATION
  • [6] IRREVERSIBILITY AND GENERALIZED NOISE
    CALLEN, HB
    WELTON, TA
    [J]. PHYSICAL REVIEW, 1951, 83 (01): : 34 - 40
  • [7] BROWNIAN-MOTION OF A MASS SUSPENDED BY AN ANELASTIC WIRE
    GABRIELA, GI
    SAULSON, PR
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1994, 96 (01) : 207 - 212
  • [8] THERMAL NOISE IN THE TEST MASS SUSPENSIONS OF A LASER INTERFEROMETER GRAVITATIONAL-WAVE DETECTOR PROTOTYPE
    GILLESPIE, A
    RAAB, F
    [J]. PHYSICS LETTERS A, 1993, 178 (5-6) : 357 - 363
  • [9] THERMALLY EXCITED VIBRATIONS OF THE MIRRORS OF LASER INTERFEROMETER GRAVITATIONAL-WAVE DETECTORS
    GILLESPIE, A
    RAAB, F
    [J]. PHYSICAL REVIEW D, 1995, 52 (02) : 577 - 585
  • [10] Landau LD, 1986, THEORY ELASTICITY