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Simulation of bulk-absorption thermal lensing in transmissive optics of gravitational waves detectors

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Abstract

This paper presents finite-element modelling simulations of thermal lensing and thermal lens compensation in transmissive optics for gravitational wave detectors. We compare the current candidate test mass materials, fused silica and sapphire, in terms of sample geometry and time-dependent phenomena. For both materials, the thermal-lensing time constant is a few minutes, yet the core temperature needs several tens of minutes to stabilize. Thermal lens compensation using simple radiative heating is limited in temperature by absorption in the test mass. This effect limits the maximum allowed absorption for sapphire to ∼10–20 ppm/cm. For reasonable parameters, optical path length compensation within 1 nm can be achieved over a beam radius of 5 mm. If the optical absorption of the transmissive optics is too high, compensation can be achieved by means of a separate compensation plate.

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References

  1. D.E. McClelland: Aust. J. Phys. 48, 953 (1995)

    Article  ADS  Google Scholar 

  2. A. Abramovici, W.E. Althouse, R.W.P. Drever, Y. Gursel, S. Kawamura, F.J. Raab, D. Shoemaker, L. Sievers, R.E. Spero, K.S. Thorne, R.E. Vogt, R. Weiss, S.E. Whitcomb, M.E. Zucker: Science 256, 325 (1992)

    Article  ADS  Google Scholar 

  3. C. Bradaschia, R. Del Fabbro, A. Di Virgilio, A. Giazotto, H. Kautzky, V. Montelatici, D. Passuello, A. Brillet, O. Cregut, P. Hello, C.N. Man, P.T. Manh, A. Marraud, D. Shoemaker, J.Y. Vinet, F. Barone, L. Di Fiore, L. Milano, G. Russo, J.M. Aguirregabiria, H. Bel, J.P. Duruisseau, G. Le Denmat, Ph. Tourrenc, M. Capozzi, M. Longo, M. Lops, I. Pinto, G. Rotoli, T. Damour, S. Bonazzola, J.A. Marck, Y. Gourghoulon, L.E. Holloway, F. Fuligni, V. Iafolla, G. Natale: Nucl. Instrum. Methods Phys. Res. A 289, 518 (1990)

    Article  ADS  Google Scholar 

  4. P. Hello, J.Y. Vinet: J. Phys. (France) 51, 1267 (1990)

    Article  Google Scholar 

  5. W. Winkler, K. Danzmann, A. Rüdiger, R. Schilling: Phys. Rev A 44, 7022 (1991)

    Article  ADS  Google Scholar 

  6. K.A. Strain, K. Danzmann, J. Mizuno, P.G. Nelson, A. Rüdiger, R. Schilling, W. Winkler: Phys. Lett. A 194, 124 (1994)

    Article  ADS  Google Scholar 

  7. R. Lawrence, M. Zucker, P. Fritschel, P. Marfuta, D. Shoemaker: Class. Quantum Grav. 19, 1803 (2002)

    Article  ADS  Google Scholar 

  8. R.G. Beausoleil: ‘Melody/Matlab object-oriented model of gravita-tional-wave interferometers using Matlab’. Technical report no. G020165-00-Z, Ligo (2002)

  9. H. Lück, K.-O. Müller, P. Aufmuth, K. Danzmann: Opt. Commun. 175, 275 (2000)

    Article  ADS  Google Scholar 

  10. R.G. Beausoleil, E.K. Gustafson, M.M. Fejer, E. D’Ambrosio, W. Kells, J. Camp: J. Opt. Soc. Am. B 20, 1246 (2002)

    Google Scholar 

  11. M. Taniwaki, L. Ju, D.G. Blair, M.E. Tobar: Phys. Lett. A 246, 37 (1998)

    Article  ADS  Google Scholar 

  12. R. Lawrence, M. Zucker, P. Fritschel, P. Marfuta, D. Shoemaker: ‘Active wavefront correction in laser interferometric gravitational waves detectors’. Technical report no. T010056-00-R, Ligo (2001)

  13. F. Benadid: ‘Optical properties of sapphire test mass in laser interferometric gravitational wave detectors’. PhD thesis, University of Western Australia (2000)

  14. D. Blair, F. Cleva, C.B. Man: Opt. Mater. 8 233 (1997)

  15. J.D. Mansell, J. Hennawi, E.K. Gustafson, M.M. Fejer, R.L. Byer, D. Clubley, S. Yoshida, D. Reitze: Appl. Opt. 40, 366 (2001)

    Article  ADS  Google Scholar 

  16. R.D. Guenther: Modern Optics (Wiley, New York 1990)

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Correspondence to J. Degallaix.

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42.25.Bs; 42.70.Ce

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Degallaix, J., Zhao, C., Ju, L. et al. Simulation of bulk-absorption thermal lensing in transmissive optics of gravitational waves detectors. Appl. Phys. B 77, 409–414 (2003). https://doi.org/10.1007/s00340-003-1261-0

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  • DOI: https://doi.org/10.1007/s00340-003-1261-0

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