Applied Physics B

, 98:33 | Cite as

EOM sideband phase characteristics for the spaceborne gravitational wave detector LISA

  • S. BarkeEmail author
  • M. Tröbs
  • B. Sheard
  • G. Heinzel
  • K. Danzmann
Open Access


The Laser Interferometer Space Antenna (LISA) is a joint ESA/NASA mission proposed to observe gravitational waves. One important noise source in the LISA phase measurement will be on-board reference oscillators. An inter-spacecraft clock tone transfer chain will be necessary to remove this non-negligible phase noise in post processing. One of the primary components of this chain are electro-optic modulators (EOMs). At modulation frequencies of 2 GHz, we characterise the excess phase noise of a fibre-coupled integrated EOM in the LISA measurement band (0.1 mHz to 1 Hz). The upper phase noise limit was found to be almost an order of magnitude better than required by the LISA mission. In addition, the EOM’s phase dependence on temperature and optical power was determined. The measured coefficients are within a few milliradians per kelvin and per watt respectively and thereby negligible with the expected on-board temperature and laser power stability.


04.80.Nn 78.20.Jq 42.60.Mi 


  1. 1.
    D.A. Shaddock, Class. Quantum Gravity 25(11), 114012 (2008) CrossRefADSGoogle Scholar
  2. 2.
    H. Faulks, K. Gehbauer, A. Hammesfahr, K. Honnen, U. Johann, G. Kahl, M. Kersten, L. Morgenroth, M. Riede, H.R. Schulte, M. Bisi, S. Cesare, O. Pierre, X. Sembely, L. Vaillon, J. Rodriguez-Canabal, F. Reudenauer, S. Marcuccio, D. Nicolini, L. Maltecca, M. Peterseim, M. Rodrigues, D. Hayoun, S. Heys, B.J. Kent, I. Butler, D. Robertson, S. Vitale, Study of the laser interferometer space antenna. Final Tech. Rep., European Space Research and Technology Center (2000) Google Scholar
  3. 3.
    LISA Study Team, LISA. Laser interferometer space antenna for the detection and observation of gravitational waves. An international project in the field of fundamental physics in space. Pre-Phase A Rep., Max-Planck-Institut für Quantenoptik, Garching, Germany (1998) Google Scholar
  4. 4.
    W. Folkner, D. Shaddock, M. Tinto, R. Spero, R. Schilling, O. Jennrich, Candidate LISA frequency (modulation) plan. Presentation at 5th Int. LISA Symp., July 2004 Google Scholar
  5. 5.
    R.W. Hellings, Phys. Rev. D 64(2), 022002 (2001) CrossRefADSGoogle Scholar
  6. 6.
    M. Tinto, F.B. Estabrook, J.W. Armstrong, Phys. Rev. D 65(8), 082003 (2002) CrossRefADSGoogle Scholar
  7. 7.
    L.W. Couch II, Digital and Analog Communications Systems (Macmillan, New York, 1990) Google Scholar
  8. 8.
    M. Tröbs, S. Barke, J. Möbius, M. Engelbrecht, D. Kracht, L. d’Arcio, G. Heinzel, K. Danzmann, J. Phys., Conf. Ser. 154, 012016 (2009) CrossRefADSGoogle Scholar
  9. 9.
    W. Klipstein, P.G. Halverson, R. Peters, R. Cruz, D. Shaddock, Clock noise removal in LISA, in Laser Interferometer Space Antenna: 6th Int. LISA Symp., ed. by S.M. Merkovitz, J.C. Livas. Am. Inst. Phys. Conf. Ser., vol. 873 (2006), pp. 312–318 Google Scholar
  10. 10.
    M. Tinto, J.W. Armstrong, F.B. Estabrook, Class. Quantum Gravity 25(1), 015008 (2008) CrossRefGoogle Scholar
  11. 11.
    J.-P. Ruske, Integriert-optische Bauelementekonzepte zur Führung und Beeinflussung von Licht hoher Leistung und Photonenenergie. Habilitation thesis, Friedrich-Schiller-Universität Jena, Germany (2004) Google Scholar
  12. 12.
    S. Steinberg, Experimentelle Untersuchung optischer Phaseninstabilitäten an Streifenwellenleitern und elektrooptischen Phasenmodulatoren in LiNbO3 unter besonderer Berücksichtigung des Protonenaustausches. Ph.D. thesis, Friedrich-Schiller-Universität Jena, Germany (1994) Google Scholar
  13. 13.
    G. Heinzel, Advanced optical techniques for laser-interferometric gravitational-wave detectors. Ph.D. thesis, Max-Planck-Institut für Quantenoptik, Garching (1999) Google Scholar
  14. 14.
    G. Heinzel, V. Wand, A. Garsia, O. Jennrich, C. Braxmaier, D. Robertson, K. Middleton, D. Hoyland, A. Rúdiger, R. Schilling, U. Johann, K. Danzmann, Class. Quantum Gravity 21(5), S581 (2004) CrossRefADSGoogle Scholar
  15. 15.
    M. Tröbs, G. Heinzel, Measurement 39(2), 120 (2006) CrossRefGoogle Scholar
  16. 16.
    M. Tateda, S. Tanaka, Y. Sugawara, Appl. Opt. 19, 770 (1980) CrossRefADSGoogle Scholar
  17. 17.
    M. Tröbs, G. Heinzel, Measurement 142, 170 (2009) CrossRefGoogle Scholar

Copyright information

© The Author(s) 2009

Open AccessThis is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (, which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  • S. Barke
    • 1
    Email author
  • M. Tröbs
    • 1
  • B. Sheard
    • 1
  • G. Heinzel
    • 1
  • K. Danzmann
    • 1
  1. 1.Albet Einstein Institute Hannover, Max Planck Institute for Gravitational Physics and Leibniz University HannoverHannoverGermany

Personalised recommendations