Thermoelastic noise and homogeneous thermal noise in finite sized gravitational-wave test masses

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 12, 2000, Pages 1-10

  Liu, Yuk Tung ^a   Thorne, Kip S ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243983253     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.122002     Document Type: Article

References (10)

1. P. R. Saulson, Fundamentals of Interferometric Gravitational Wave Detectors (World Scientific, Singapore, 1994); see especially Chap. 7, and Fig. 16.2 and associated discussion.
2. H. B. Callen and T. A. Welton, Phys. Rev. 83, 34 (1951).
3. B. C. Barish and R. Weiss, Phys. Today 52, 44 (1999); see also http://www.ligo.caltech.edu/
4. B. C. Barish and R. Weiss, Phys. Today 52, 44 (1999); see also http://www.ligo.caltech.edu/
5. V. B. Braginsky, M. L. Gorodetsky, and S. P. Vyatchanin, Phys. Lett. A 264, 1 (1999); cited in text as BGV. In this paper, thermoelastic noise is referred to as noise due to thermodynamical fluctuations, because it arises when thermodynamical fluctuations of the distribution of heat inside the test mass produce, via the finite thermal expansion coefficient, changes of the test-mass shape. BGV refer to homogeneous thermal noise as due to Brownian fluctuations because it is caused by a Brownian-motion-type feeding of thermal energy into and out of the test mass's low-order normal modes of vibration.
6. mz [cf. our Eq. (33)]; Eqs. (21)-(24) should take the forms given in our Eqs. (35a)-(35e); and Eqs. (28) and (31) for ΔU should take the forms given in our Eqs. (54), (55) and (57).
7. o; our Eq. (59)].
8. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, third ed. (Pergamon, Oxford, 1986).
9. A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, fourth ed. (Cambridge University Press, Cambridge, England, 1927; reprinted by Dover, New York, 1944).
10. S. P. Vyatchanin (in preparation).