Skip to main content
Log in

Challenges in thermal noise for 3rd generation of gravitational wave detectors

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

Various noise sources limit the sensitivity of current interferometric gravitational wave detectors, including seismic noise, thermal noise of the optical components and suspension elements and photon shot noise. Plans are in place for a suite of hardware upgrades which should increase the sensitivity of these detectors by reducing the various noise sources. With these designs for 2nd generation detectors mature, techniques for further improvement of detector sensitivity by a factor of approximately 10 are under study. A particular challenge is the reduction of the thermal noise associated with the interferometer mirrors and their suspensions. We review the current status of research on thermal noise in interferometric gravitational wave detectors. Aspects of possible techniques for use in future ‘3rd generation detectors’ such as cryogenics and diffractive optics are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Flaminio, R., Freise, A., Gennai, A., Hello, P., Penna, P.L., Lusordo, G., Lueck, H., Man, N., Masserot, A., Mours, B., Punturo, M., Spallicci, A., Vicere, A.: Advanced Virgo white paper. Virgo note VIR-NOT-DIR-1390-304 (2005). http://wwwcascina.virgo.infn.it/advirgo/docs/whitepaper.pdf

  2. Weinstein A.: Class. Quantum Grav. 19(7), 1575 (2002)

    Article  ADS  Google Scholar 

  3. Abbott, R., Adhikari, R., Ballmer, S., Barsotti, L., Evans, M., Fritschel, P., Frolov, V., Mueller, G., Slagmolen, B., Waldman, S.: AdvLIGO interferometer sensing and control conceptual design. Ligo Document Center, LIGO-T070247-01-1 (2007). http://dcc.ligo.org/

  4. Whitcomb S.E.: Class. Quantum Grav. 25(11), 114013 (2008)

    Article  ADS  Google Scholar 

  5. Punturo, M., Lueck, H.: FP7 Design study proposal (2007). http://www.ego-gw.it/ILIAS-GW/FP7-DS/fp7-DS.htm

  6. Hild, S., Chelkowski, S., Freise, A.: Pushing towards th ET sensitivity using ‘conventional’ technology. ET technical note ET-010-08 (2008). arXiv:0810.0604 v2 [gr-qc]

  7. Caves C.M.: Phys. Rev. D 23(8), 1693 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  8. McKenzie K., Grosse N., Bowen W.P., Whitcomb S.E., Gray M.B., McClelland D.E., Lam P.K.: Phys. Rev. Lett. 93(16), 161105 (2004)

    Article  ADS  Google Scholar 

  9. Vahlbruch H., Mehmet M., Chelkowski S., Hage B., Franzen A., Lastzka N., ler S.G., Danzmann K., Schnabel R.: Phys. Rev. Lett. 100(3), 033602 (2008)

    Article  ADS  Google Scholar 

  10. Sun K.X., Byer R.L.: Opt. Lett. 23(8), 567 (1998)

    Article  ADS  Google Scholar 

  11. Wise S., Quetschke V., Deshpande A.J., Mueller G., Reitze D.H., Tanner D.B., Whiting B.F., Chen Y., Tünnermann A., Kley E.B., Clausnitzer T.: Phys. Rev. Lett. 95(1), 013901 (2005)

    Article  ADS  Google Scholar 

  12. Bunkowski A., Burmeister O., Clausnitzer T., Kley E.B., Tünnermann A., Danzmann K., Schnabel R.: Appl. Opt. 45(23), 5795 (2006)

    Article  ADS  Google Scholar 

  13. Fahr S., Clausnitzer T., Kley E.B., Tünnermann A.: Appl. Opt. 46(24), 6092 (2007)

    Article  ADS  Google Scholar 

  14. Vinet J.Y.: Class. Quantum Grav. 22(7), 1395 (2005)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. Bondarescu M., Thorne K.S.: Phys. Rev. D 74(8), 082003 (2006)

    Article  ADS  Google Scholar 

  16. Lovelace G.: Class. Quantum Grav. 24(17), 4491 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  17. Rowan S., Hough J., Crooks D.: Phys. Lett. A 347(1–3), 25 (2005)

    Article  ADS  Google Scholar 

  18. Saulson P.R.: Phys. Rev. D 30(4), 732 (1984)

    Article  ADS  Google Scholar 

  19. Hughes S.A., Thorne K.S.: Phys. Rev. D 58(12), 122002 (1998)

    Article  ADS  Google Scholar 

  20. Shoemaker D.: Class. Quantum Grav. 20(10), S11 (2003)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  21. Conforto G., DeSalvo R.: Nucl. Instrum. Methods Phys. Res. A 518(1–2), 228 (2004)

    Article  ADS  Google Scholar 

  22. Harry G.M., Gretarsson A.M., Saulson P.R., Kittelberger S.E., Penn S.D., Startin W.J., Rowan S., Fejer M.M., Crooks D.R.M., Cagnoli G., Hough J., Nakagawa N.: Class. Quantum Grav. 19(5), 897 (2002)

    Article  MATH  ADS  Google Scholar 

  23. Crooks D.R.M., Sneddon P., Cagnoli G., Hough J., Rowan S., Fejer M.M., Gustafson E., Route R., Nakagawa N., Coyne D., Harry G.M., Gretarsson A.M.: Class. Quantum Grav. 19(5), 883 (2002)

    Article  MATH  ADS  Google Scholar 

  24. Harry G.M., Armandula H., Black E., Crooks D.R.M., Cagnoli G., Hough J., Murray P., Reid S., Rowan S., Sneddon P., Fejer M.M., Route R., Penn S.D.: Appl. Opt. 45(7), 1569 (2006)

    Article  ADS  Google Scholar 

  25. Einstein A.: Ann. Phys. 17, 549 (1905)

    Article  MATH  Google Scholar 

  26. Nowick A.S., Berry B.S.: Anelastic Relaxation in Crystalline Solids. Academic Press, London (1972)

    Google Scholar 

  27. Braginsky V.B., Gorodetsky M.L., Vyatchanin S.P.: Phys. Lett. A 264(1), 1 (1999)

    Article  ADS  Google Scholar 

  28. Braginsky V.B., Gorodetsky M.L., Vyatchanin S.P.: Phys. Lett. A 271(5–6), 303 (2000)

    Article  ADS  Google Scholar 

  29. Callen H.B., Welton T.A.: Phys. Rev. 83(1), 34 (1951)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  30. Callen H.B., Greene R.F.: Phys. Rev. 86(5), 702 (1952)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  31. Saulson P.R.: Phys. Rev. D 42(8), 2437 (1990)

    Article  ADS  Google Scholar 

  32. Gillespie A., Raab F.: Phys. Rev. D 52(2), 577 (1995)

    Article  ADS  Google Scholar 

  33. Levin Y.: Phys. Rev. D 57(2), 659 (1998)

    Article  ADS  Google Scholar 

  34. Bondu F., Hello P., Vinet J.Y.: Phys. Lett. A 246, 227 (1998)

    Article  ADS  Google Scholar 

  35. Liu Y.T., Thorne K.S.: Phys. Rev. D 62(12), 122002 (2000)

    Article  ADS  Google Scholar 

  36. Yamamoto K., Ando M., Kawabe K., Tsubono K.: Phys. Lett. A 305(1–2), 18 (2002)

    Article  ADS  Google Scholar 

  37. Zener C.: Phys. Rev. 53(1), 90 (1938)

    Article  ADS  Google Scholar 

  38. Rowan S., Twyford S., Hutchins R., Hough J.: Class. Quantum Grav. 14(6), 1537 (1997)

    Article  ADS  Google Scholar 

  39. Rowan S., Twyford S.M., Hutchins R., Kovalik J., Logan J.E., McLaren A.C., Robertson N.A., Hough J.: Phys. Lett. A 233(4–6), 303 (1997)

    Article  ADS  Google Scholar 

  40. Cumming A., Heptonstall A., Kumar R., Cunningham W., Torrie C., Barton M., Strain K., Hough J., Rowan S.: Class. Quantum Grav. 26(21), 215012 (2009)

    Article  ADS  Google Scholar 

  41. Cerdonio M., Conti L., Heidmann A., Pinard M.: Phys. Rev. D 63(8), 082003 (2001)

    Article  ADS  Google Scholar 

  42. Nakagawa N., Gretarsson A.M., Gustafson E.K., Fejer M.M.: Phys. Rev. D 65(10), 102001 (2002)

    Article  ADS  Google Scholar 

  43. Penn S.D., Sneddon P.H., Armandula H., Betzwieser J.C., Cagnoli G., Camp J., Crooks D.R.M., Fejer M.M., Gretarsson A.M., Harry G.M., Hough J., Kittelberger S.E., Mortonson M.J., Route R., Rowan S., Vassiliou C.C.: Class. Quantum Grav. 20(13), 2917 (2003)

    Article  MATH  ADS  Google Scholar 

  44. Somiya K., Yamamoto K.: Phys. Rev. D 79(10), 102004 (2009)

    Article  ADS  Google Scholar 

  45. Braginsky V.B., Vyatchanin S.P.: Phys. Lett. A 312(3–4), 244 (2003)

    ADS  Google Scholar 

  46. Fejer M.M., Rowan S., Cagnoli G., Crooks D.R.M., Gretarsson A., Harry G.M., Hough J., Penn S.D., Sneddon P.H., Vyatchanin S.P.: Phys. Rev. D 70(8), 082003 (2004)

    Article  ADS  Google Scholar 

  47. Levin Y.: Phys. Lett. A 372(12), 1941 (2008)

    ADS  Google Scholar 

  48. Evans M., Ballmer S., Fejer M., Fritschel P., Harry G., Ogin G.: Phys. Rev. D 78(10), 102003 (2008)

    Article  ADS  Google Scholar 

  49. Franc, J., Morgado, N., Flaminio, R., Nawrodt, R., Martin, I., Cunningham, L., Cumming, A., Rowan, S., Hough. J.: Mirror thermal noise in laser interferometer gravitational wave detectors operating at room and cryogenic temperature. ET document ET-021-09 (2009). http://www.et-gw.eu/

  50. Advanced LIGO Team. Advanced LIGO Reference Design: Ligo Document Center, LIGO-060056-08-M (2007). http://dcc.ligo.org/

  51. Penn S.D., Ageev A., Busby D., Harry G.M., Gretarsson A.M., Numata K., Willems P.: Phys. Lett. A 352(1–2), 3 (2006)

    Article  ADS  Google Scholar 

  52. Harry G.M., Abernathy M.R., Becerra-Toledo A.E., Armandula H., Black E., Dooley K., Eichenfield M., Nwabugwu C., Villar A., Crooks D.R.M., Cagnoli G., Hough J., How C.R., MacLaren I., Murray P., Reid S., Rowan S., Sneddon P.H., Fejer M.M., Route R., Penn S.D., Ganau P., Mackowski J.M., Michel C., Pinard L., Remillieux A.: Class. Quantum Grav. 24(2), 405 (2007)

    Article  ADS  Google Scholar 

  53. Yamamoto K., Miyoki S., Uchiyama T., Ishitsuka H., Ohashi M., Kuroda K., Tomaru T., Sato N., Suzuki T., Haruyama T., Yamamoto A., Shintomi T., Numata K., Waseda K., Ito K., Watanabe K.: Phys. Rev. D 74(2), 022002 (2006)

    Article  ADS  Google Scholar 

  54. Black E.D., Villar A., Barbary K., Bushmaker A., Heefner J., Kawamura S., Kawazoe F., Matone L., Meidt S., Rao S.R., Schulz K., Zhang M., Libbrecht K.G.: Phys. Lett. A 328(1), 1 (2004)

    Article  ADS  Google Scholar 

  55. Crooks D.R.M., Cagnoli G., Fejer M.M., Harry G., Hough J., Khuri-Yakub B.T., Penn S., Route R., Rowan S., Sneddon P.H., Wygant I.O., Yaralioglu G.G.: Class. Quantum Grav. 23(15), 4953 (2006)

    Article  ADS  Google Scholar 

  56. Amico P., Bosi L., Cottone F., Dari A., Gammaitoni L., Marchesoni F., Punturo M., Travasso F., Vocca H.: J. Phys. Conf. Ser. 32(1), 413 (2006)

    Article  ADS  Google Scholar 

  57. Abernathy M.R., Harry G.M., Travasso F., Martin I., Reid S., Rowan S., Hough J., Fejer M.M., Route R., Penn S., Armandula H., Gretarsson A.: Phys. Lett. A 372(2), 87 (2008)

    ADS  Google Scholar 

  58. Martin I., Armandula H., Comtet C., Fejer M.M., Gretarsson A., Harry G., Hough J., Mackowski J.M.M., MacLaren I., Michel C., Montorio J.L., Morgado N., Nawrodt R., Penn S., Reid S., Remillieux A., Route R., Rowan S., Schwarz C., Seidel P., Vodel W., Zimmer A.: Class. Quantum Grav. 25(5), 055005 (2008)

    Article  ADS  Google Scholar 

  59. Martin I.W., Chalkley E., Nawrodt R., Armandula H., Bassiri R., Comtet C., Fejer M.M., Gretarsson A., Harry G., Heinert D., Hough J., MacLaren I., Michel C., Montorio J.L., Morgado N., Penn S., Reid S., Route R., Rowan S., Schwarz C., Seidel P., Vodel W., Woodcraft A.L.: Class. Quantum Grav. 26(15), 155012 (2009)

    Article  ADS  Google Scholar 

  60. Agresti, J., Castaldi, G., DeSalvo, R., Galdi, V., Pierro, V., Pinto, I.M.: Optimized multilayer dielectric mirror coatings for gravitational wave interferometers. LIGO Document Center, LIGO-P060027-00-Z (2006). http://dcc.ligo.org/

  61. Majorana E., Ogawa Y.: Phys. Lett. A 233(3), 162 (1997)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  62. Puppo, P.: A thermal noise model for a branched system of mechanical harmonic oscillators. Poster presented at the 8th Edoardo Amaldi Conference in New York (2009). http://www.amaldi8.org/

  63. Piergiovanni, F., Punturo, M., Puppo, P.: The thermal noise of the Virgo+ and Virgo Advanced Last Stage Suspension. Virgo note VIR-0015C-09 (2009). https://tds.ego-gw.it/ql/?c=2199

  64. Braginsky V.B., Levin Y., Vyatchanin S.P.: Meas. Sci. Technol. 10(7), 598 (1999)

    Article  ADS  Google Scholar 

  65. Gonzalez G.I., Saulson P.R.: J. Acoust. Soc. Am. 96(1), 207 (1994)

    Article  ADS  Google Scholar 

  66. Gonzalez G.: Class. Quantum Grav. 17(21), 4409 (2000)

    Article  MATH  ADS  Google Scholar 

  67. Saulson P.R.: Fundamentals of Interferometric Gravitational Wave Detectors. World Scientific Publishing Co Pte Ltd, Singapore (1994)

    Google Scholar 

  68. Gretarsson A.M., Harry G.M., Penn S.D., Saulson P.R., Startin W.J., Rowan S., Cagnoli G., Hough J.: Phys. Lett. A 270(3–4), 108 (2000)

    Article  ADS  Google Scholar 

  69. McGuigan D.F., Lam C.C., Gram R.Q., Hoffman A.W., Douglas D.H., Gutche H.W.: J. Low Temp. Phys. 30, 621 (1978)

    Article  ADS  Google Scholar 

  70. Cagnoli G., Willems P.A.: Phys. Rev. B 65(17), 174111 (2002)

    Article  ADS  Google Scholar 

  71. Gretarsson A.M., Harry G.M.: Rev. Sci. Instrum. 70(10), 4081 (1999)

    Article  ADS  Google Scholar 

  72. Cagnoli G., Armandula H., Cantley C.A., Crooks D.R.M., Cumming A., Elliffe E., Fejer M.M., Gretarsson A.M., Harry G.M., Heptonstall A., Hough J., Jones R., Mackowski J.M., Martin I., Murray P., Penn S.D., Perreur-Lloyd M., Reid S., Route R., Rowan S., Robertson N.A., Sneddon P.H., Strain K.A.: J. Phys. Conf. Ser. 32(1), 386 (2006)

    ADS  Google Scholar 

  73. Rowan S., Twyford S.M., Hough J., Gwo D.H., Route R.: Phys. Lett. A 246(6), 471 (1998)

    Article  ADS  Google Scholar 

  74. Heptonstall A., Barton M., Cantley C., Cumming A., Cagnoli G., Hough J., Jones R., Kumar R., Martin I., Rowan S., Torrie C., Zech S.: Class. Quantum Grav. 27(3), 035013 (2010)

    Article  ADS  Google Scholar 

  75. Plissi M.V., Torrie C.I., Husman M.E., Robertson N.A., Strain K.A., Ward H., Lück H., Hough J.: Rev. Sci. Instrum. 71(6), 2539 (2000)

    Article  ADS  Google Scholar 

  76. Barr B.W., Cagnoli G., Casey M.M., Clubley D., Crooks D.R.M., Danzmann K., Elliffe E.J., ler S.G., Grant A., Grote H., Heptonstall A., Hough J., Jennrich O., Lück H., McIntosh S.A., Newton G.P., Palmer D.A., Plissi M.V., Robertson D.I., Robertson N.A., Rowan S., Skeldon K.D., Sneddon P., Strain K.A., Torrie C.I., Ward H., Willems P.A., Willke B., Winkler W.: Class. Quantum Grav. 19(7), 1655 (2002)

    Article  ADS  Google Scholar 

  77. Heptonstall A., Cagnoli G., Hough J., Rowan S.: Phys. Lett. A 354(5–6), 353 (2006)

    Article  ADS  Google Scholar 

  78. Amico P., Bosi L., Carbone L., Gammaitoni L., Marchesoni F., Punturo M., Travasso F., Vocca H.: Rev. Sci. Instrum. 73(9), 3318 (2002)

    Article  ADS  Google Scholar 

  79. Winkler W., Danzmann K., Rüdiger A., Schilling R.: Phys. Rev. A 44(11), 7022 (1991)

    Article  ADS  Google Scholar 

  80. Strain K.A., Danzmann K., Mizuno J., Nelson P.G., Rdiger A., Schilling R., Winkler W.: Phys. Lett. A 194(1–2), 124 (1994)

    Article  ADS  Google Scholar 

  81. Lawrence, R.C.: Active wavefront correction in laser interferometric gravitational wave detectors. Ph.D. thesis, MIT, Boston (2003)

  82. Lück H., Freise A., Goßler S., Hild S., Kawabe K., Danzmann K.: Class. Quantum Grav. 21(5), S985 (2004)

    Article  Google Scholar 

  83. Ballmer, S., Frolov, V., Lawrence, R., Kells, W., Moreno, G., Mason, K., Ottaway, D., Smith, M., Vorvick, C., Willems, P., Zucker, M.: Thermal compensation system description. LIGO Document Center, LIGO-T050064-00-R (2005). http://dcc.ligo.org/

  84. Kamp C.J., Kawamura H., Passaquieti R., DeSalvo R.: Nucl. Instru. Methods Phys. Res. A 607(3), 530 (2009)

    Article  ADS  Google Scholar 

  85. Puppo, P., Ricci, F.: Cryogenics and Einstein Telescope (2010, this issue)

  86. Nawrodt, R., Cunningham, L., Flaminio, R., Franc, J., Heinert, D., Hough, J., Martin, I., Morgado, N., Rowan, S., Schwarz, C., Seidel, P.: Mirror thermal noise calculation for ET. ET document ET-027-09 (2009). http://www.et-gw.eu/

  87. Braginsky V.B., Mitrofanov V.P., Panov V.I.: Systems with Small Dissipation. University of Chicago Press, Chicago (1985)

    Google Scholar 

  88. Ju L., Notcutt M., Blair D., Bondu F., Zhao C.N.: Phys. Lett. A 218, 197 (1996)

    Article  ADS  Google Scholar 

  89. Rowan, S., Byer, R.L., Fejer, M.M., Route, R., Cagnoli, G., Crooks, D.R.M., Hough, J., Sneddon, P.H., Winkler, W.: Test mass materials for a new generation of gravitational wave detectors. In: Proceedings of SPIE, vol. 4856 (2003)

  90. Loriette V., Boccara C.: Appl. Opt. 42(4), 649 (2003)

    Article  ADS  Google Scholar 

  91. White G.K.: J. Phys. D Appl. Phys. 6(17), 2070 (1973)

    Article  ADS  Google Scholar 

  92. Bilenko I.A., Braginsky V.B., Markova N.Y.: Class. Quantum Grav. 19(7), 2035 (2002)

    Article  ADS  Google Scholar 

  93. Mitrofanov V.P., Tokmakov K.V.: Phys. Lett. A 308(2–3), 212 (2003)

    Article  ADS  Google Scholar 

  94. Ageev A., Palmer B.C., Felice A.D., Penn S.D., Saulson P.R.: Class. Quantum Grav. 21(16), 3887 (2004)

    Article  MATH  ADS  Google Scholar 

  95. McSkimin H.J.: J. Appl. Phys. 24(8), 988 (1953)

    Article  ADS  Google Scholar 

  96. Fine M.E., van Duyne H., Kenney N.T.: J. Appl. Phys. 25(3), 402 (1954)

    Article  ADS  Google Scholar 

  97. Strakna R.E.: Phys. Rev. 123(6), 2020 (1961)

    Article  ADS  Google Scholar 

  98. Travasso F., Bosi L., Dari A., Gammaitoni L., Vocca H., Marchesoni F.: Mater. Sci. Eng. A 521–522, 268 (2009)

    Google Scholar 

  99. Wiedersich J., Adichtchev S.V., Rössler E.: Phys. Rev. Lett. 84(12), 2718 (2000)

    Article  ADS  Google Scholar 

  100. Travasso F., Amico P., Bosi L., Cottone F., Dari A., Gammaitoni L., Vocca H., Marchesoni F.: Europhys. Lett. 80(5), 50008 (2007)

    Article  ADS  Google Scholar 

  101. Anderson O.L., Bömmel H.E.: J. Am. Ceram. Soc. 38(4), 125 (1955)

    Article  Google Scholar 

  102. Amico P., Bosi L., Carbone L., Gammaitoni L., Marchesoni F., Punturo M., Travasso F., Vocca H.: Rev. Sci. Instrum. 73(1), 179 (2002)

    Article  ADS  Google Scholar 

  103. Amico P., Bosi L., Carbone L., Gammaitoni L., Punturo M., Travasso F., Vocca H.: Class. Quantum Grav. 19(7), 1663 (2002)

    Article  ADS  Google Scholar 

  104. Cagnoli G.: J. Phys. Conf. Ser. 32(1), 294 (2006)

    Article  Google Scholar 

  105. Yamamoto K., Miyoki S., Uchiyama T., Ishitsuka H., Ohashi M., Kuroda K., Tomaru T., Sato N., Suzuki T., Haruyama T., Yamamoto A., Shintomi T., Numata K., Waseda K., Ito K., Watanabe K.: Class. Quantum Grav. 21(5), S1075 (2004)

    Article  ADS  Google Scholar 

  106. Liberman, V., Bloomstein, T.M., Rothschild, M., Sedlacek, J.H.C., Uttaro, R.S., Bates, A.K., Peski, C.V., Orvek, K.: Materials issues for optical components and photomasks in 157 nm lithography. Papers from the 43rd international conference on electron, ion, and photon beam technology and nanofabrication (1999)

  107. Yan Z., Ju L., Gras S., Zhao C., Blair D.G.: Eur. Phys. J. Appl. Phys. 30, 189 (2005)

    Article  ADS  Google Scholar 

  108. Nawrodt R., Zimmer A., Koettig T., Nietzsche S., Thuerk M., Vodel W., Seidel P.: Eur. Phys. J. Appl. Phys. 38, 53 (2007)

    Article  ADS  Google Scholar 

  109. Numata K., Bianc G.B., Ohishi N., Sekiya A., Otsuka S., Kawabe K., Ando M., Tsubono K.: Phys. Lett. A 276(1–4), 37 (2000)

    Article  ADS  Google Scholar 

  110. Numata K., Bianc G.B., Tanaka M., Otsuka S., Kawabe K., Ando M., Tsubono K.: Phys. Lett. A 284(4–5), 162 (2001)

    Article  Google Scholar 

  111. Rowan S., Cagnoli G., Sneddon P., Hough J., Route R., Gustafson E.K., Fejer M.M., Mitrofanov V.: Phys. Lett. A 265(1–2), 5 (2000)

    Article  ADS  Google Scholar 

  112. Kovalik J., Saulson P.R.: Rev. Sci. Instrum. 64(10), 2942 (1993)

    Article  ADS  Google Scholar 

  113. Tomaru T., Suzuki T., Uchiyama T., Yamamoto A., Shintomi T., Taylor C.T., Yamamoto K., Miyoki S., Ohashi M., Kuroda K.: Phys. Lett. A 301(3–4), 215 (2002)

    Article  ADS  Google Scholar 

  114. Hull R.: Properties of Crystalline Silicon. The Institution of Engineering and Technology, UK (1999)

    Google Scholar 

  115. Wortman J.J., Evans R.A.: J. Appl. Phys. 36(1), 153 (1965)

    Article  ADS  Google Scholar 

  116. Mihailovich R.E., Parpia J.M.: Phys. Rev. Lett. 68(20), 3052 (1992)

    Article  ADS  Google Scholar 

  117. Reid S., Cagnoli G., Crooks D., Hough J., Murray P., Rowan S., Fejer M., Route R., Zappe S.: Phys. Lett. A 351(4–5), 205 (2006)

    Article  MATH  ADS  Google Scholar 

  118. Nawrodt R., Zimmer A., Koettig T., Schwarz C., Heinert D., Hudl M., Neubert R., Thürk M., Nietzsche S., Vodel W., Seidel P., Tünnermann A.: J. Phys. Conf. Ser. 122(1), 012008 (2008)

    Article  ADS  Google Scholar 

  119. Shimbo M., Furukawa K., Fukuda K., Tanzawa K.: J. Appl. Phys. 60(8), 2987 (1986)

    Article  ADS  Google Scholar 

  120. van Veggel A.A., Scott J., Skinner D.A., Bezensk B., Cunningham W., Hough J., Martin I., Murray P., Reid S., Rowan S.: Class. Quantum Grav. 26(17), 175007 (2009)

    Article  ADS  Google Scholar 

  121. Flaminio, R., Mavalvala, N., McClelland, D., Mueller, G., Reitze, D.H., Schnabel, R., Strain, K.A., Willke, B.: Tools and toys for third generation detectors (2010, this issue)

  122. Brückner F., Clausnitzer T., Burmeister O., Friedrich D., Kley E.B., Danzmann K., Tünnermann A., Schnabel R.: Opt. Lett. 33(3), 264 (2008)

    Article  ADS  Google Scholar 

  123. Amico P., Bosi L., Gammaitoni L., Losurdo G., Machesoni F., Mazzoni M., Parisi D., Punturo M., Stranga R., Toncelli A., Tonelli M., Travasso F., Vetrano F., Vocca H.: Rev. Sci. Instrum. 77(4), 044502 (2006)

    Article  ADS  Google Scholar 

  124. Hu S.M.: J. Appl. Phys. 53(5), 3576 (1982)

    Article  ADS  Google Scholar 

  125. Hallam J., Chelkowski S., Freise A., Hild S., Barr B., Strain K.A., Burmeister O., Schnabel R.: J. Opt. A 11(8), 085502 (2009)

    ADS  Google Scholar 

  126. D’Ambrosio E., O’Shaugnessy R., Thorne K., Willems P., Strigin S., Vyatchanin S.: Class. Quantum Grav. 21(5), S867 (2004)

    Article  Google Scholar 

  127. Mours B., Tournefier E., Vinet J.Y.: Class. Quantum Grav. 23(20), 5777 (2006)

    Article  MATH  ADS  Google Scholar 

  128. Beyersdorf P.T., Zappe S., Fejer M.M., Burkhardt M.: Appl. Opt. 45(26), 6723 (2006)

    Article  ADS  Google Scholar 

  129. Tarallo M.G., Miller J., Agresti J., D’Ambrosio E., DeSalvo R., Forest D., Lagrange B., Mackowsky J.M., Michel C., Montorio J.L., Morgado N., Pinard L., Remilleux A., Simoni B., Willems P.: Appl. Opt. 46(26), 6648 (2007)

    Article  ADS  Google Scholar 

  130. Kennedy S.A., Szabo M.J., Teslow H., Porterfield J.Z., Abraham E.R.I.: Phys. Rev. A 66(4), 043801 (2002)

    Article  ADS  Google Scholar 

  131. Avino S., Calloni E., Milano L., Fiore L.D., Rosa R.D., Tierno A.: Phys. Lett. A 355(4–5), 258 (2006)

    Article  ADS  Google Scholar 

  132. Brückner F., Friedrich D., Clausnitzer T., Burmeister O., Britzger M., Kley E.B., Danzmann K., Tünnermann A., Schnabel R.: Opt. Express 17(1), 163 (2009)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ronny Nawrodt.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nawrodt, R., Rowan, S., Hough, J. et al. Challenges in thermal noise for 3rd generation of gravitational wave detectors. Gen Relativ Gravit 43, 593–622 (2011). https://doi.org/10.1007/s10714-010-1066-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-010-1066-5

Keywords

Navigation