OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 1 — Jan. 2, 2012
  • pp: 81–89

Arm-length stabilisation for interferometric gravitational-wave detectors using frequency-doubled auxiliary lasers

Adam J. Mullavey, Bram J. J. Slagmolen, John Miller, Matthew Evans, Peter Fritschel, Daniel Sigg, Sam J. Waldman, Daniel A. Shaddock, and David E. McClelland  »View Author Affiliations

Optics Express, Vol. 20, Issue 1, pp. 81-89 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (964 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Residual motion of the arm cavity mirrors is expected to prove one of the principal impediments to systematic lock acquisition in advanced gravitational-wave interferometers. We present a technique which overcomes this problem by employing auxiliary lasers at twice the fundamental measurement frequency to pre-stabilise the arm cavities’ lengths. Applying this approach, we reduce the apparent length noise of a 1.3 m long, independently suspended Fabry-Perot cavity to 30 pm rms and successfully transfer longitudinal control of the system from the auxiliary laser to the measurement laser.

© 2011 OSA

OCIS Codes
(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: October 26, 2011
Revised Manuscript: November 20, 2011
Manuscript Accepted: November 21, 2011
Published: December 19, 2011

Adam J. Mullavey, Bram J. J. Slagmolen, John Miller, Matthew Evans, Peter Fritschel, Daniel Sigg, Sam J. Waldman, Daniel A. Shaddock, and David E. McClelland, "Arm-length stabilisation for interferometric gravitational-wave detectors using frequency-doubled auxiliary lasers," Opt. Express 20, 81-89 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. C. Cutler and K. S. Thorne, “An overview of gravitational wave sources”, in General Relativity and Gravitation, N. T. Bishop and S. D. Maharaj, eds. (World Scientific Publishing Company, 2002), pp. 72–112. http://arxiv.org/abs/gr-qc/0204090 . [CrossRef]
  2. H. Lück, C. Affeldt, J. Degallaix, A. Freise, H. Grote, M. Hewitson, S. Hild, J. Leong, M. Prijatelj, K. A. Strain, B. Willke, H. Wittel, and K. Danzmann, “The upgrade of GEO 600,” J. Phys.: Conf. Ser.228, 012012 (2010). [CrossRef]
  3. K. Kuroda and LCGT Collaboration, “Status of LCGT,” Classical Quant. Grav.27, 084004 (2010). [CrossRef]
  4. G. M. Harry and LIGO Scientific Collaboration, “Advanced LIGO: the next generation of gravitational wave detectors,” Classical Quant. Grav.27, 084006 (2010). [CrossRef]
  5. The VIRGO Collaboration, “Status of the Virgo project,” Classical Quant. Grav.28, 114002 (2011).
  6. The LIGO Scientific CollaborationVIRGO Collaboration, “TOPICAL REVIEW: Predictions for the rates of compact binary coalescences observable by ground-based gravitational-wave detectors,” Classical Quant. Grav.27, 173001 (2010).
  7. O. Miyakawa, R. Ward, R. Adhikari, B. Abbott, R. Bork, D. Busby, M. Evans, H. Grote, J. Heefner, A. Ivanov, S. Kawamura, F. Kawazoe, S. Sakata, M. Smith, R. Taylor, M. Varvella, S. Vass, and A. Weinstein, “Lock Acquisition Scheme For The Advanced LIGO Optical configuration,” J. Phys.: Conf. Ser.32, 265–269 (2006). [CrossRef]
  8. R. L. Ward, “Length Sensing and Control of a Prototype Advanced Interferometric Gravitational Wave Detector,” Ph.D. thesis, California Institute of Technology (2010).
  9. R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B31, 97–105 (1983). [CrossRef]
  10. N. A. Robertson, B. Abbott, R. Abbott, R. Adhikari, G. S. Allen, H. Armandula, S. M. Aston, A. Baglino, M. Barton, B. Bland, R. Bork, J. Bogenstahl, G. Cagnoli, C. Campbell, C. A. Cantley, K. Carter, D. Cook, D. Coyne, D. R. Crooks, E. J. Daw, D. B. DeBra, E. Elliffe, J. Faludi, P. Fritschel, A. Ganguli, J. A. Giaime, S. Gossler, A. Grant, J. Greenhalgh, M. Hammond, J. Hanson, C. Hardham, G. M. Harry, A. Heptonstall, J. Heefner, J. Hough, D. Hoyland, W. Hua, L. Jones, R. Jones, J. E. Kern, J. LaCour, B. T. Lantz, K. Lilienkamp, N. Lockerbie, H. Lück, M. MacInnis, K. Mailand, K. Mason, R. Mittleman, S. A. Nayfeh, J. Nichol, D. J. Ottaway, H. Overmier, M. Perreur-Lloyd, J. Phinney, M. V. Plissi, W. Rankin, D. I. Robertson, J. Romie, S. Rowan, R. Scheffler, D. H. Shoemaker, P. Sarin, P. H. Sneddon, C. C. Speake, O. Spjeld, G. Stapfer, K. A. Strain, C. I. Torrie, G. Traylor, J. van Niekerk, A. Vecchio, S. Wen, P. Willems, I. Wilmut, H. Ward, M. Zucker, and L. Zuo, “Seismic isolation and suspension systems for Advanced LIGO,” in Gravitational Wave and Particle Astrophysics Detectors, J. Hough and G. H. Sanders, eds., Proc. SPIE5500, 81–91 (2004).
  11. J. Miller, M. Evans, L. Barsotti, P. Fritschel, M. MacInnis, R. Mittleman, B. Shapiro, J. Soto, and C. Torrie, “Damping parametric instabilities in future gravitational wave detectors by means of electrostatic actuators,” Phys. Lett. A375, 788 – 794 (2011). [CrossRef]
  12. D. A. Shaddock, “Digitally enhanced heterodyne interferometry,” Opt. Lett.32, 3355–3357 (2007). [CrossRef] [PubMed]
  13. R. W. P. Drever and S. J. Augst, “Extension of gravity-wave interferometer operation to low frequencies,” Classical Quant. Grav.19, 2005–2011 (2002). [CrossRef]
  14. M. Principe, “Noise Modeling and Reduction in Gravitational Wave Detection Experiments,” Ph.D. thesis, University of Sannio, Benevento (2010).
  15. A. Villar, E. Black, G. Ogin, T. Chelermsongsak, R. DeSalvo, I. Pinto, and M. Principe, “Loss angles from the direct measurement of Brownian noise in coatings,” presented at the LSC-Virgo meeting, Krakow, Poland, 20–24 Sept. 2010.
  16. D. Shaddock, B. Ware, P. G. Halverson, R. E. Spero, and B. Klipstein, “Overview of the LISA phasemeter,” AIP Conf. Proc.873, 654–660 (2006). [CrossRef]
  17. L.-S. Ma, P. Jungner, J. Ye, and J. L. Hall, “Delivering the same optical frequency at two places: accurate cancellation of phase noise introduced by an optical fiber or other time-varying path,” Opt. Lett.19, 1777–1779 (1994). [CrossRef] [PubMed]
  18. A. J. Mullavey, B. J. J. Slagmolen, D. A. Shaddock, and D. E. McClelland, “Stable transfer of an optical frequency standard via a 4.6 km optical fiber,” Opt. Express18, 5213–5220 (2010). [CrossRef] [PubMed]
  19. B. J. J. Slagmolen, P. Fritschel, D. Sigg, J. Miller, A. J. Mullavey, S. J. Waldman, M. Evans, K. Arai, A. F. Brooks, D. Yeaton-Massey, L. Barsotti, R. Adhikari, and D. E. McClelland, “Arm-Length Stabilisation for Advanced LIGO lock acquisition,” In preparation (2011).
  20. B. J. J. Slagmolen, A. J. Mullavey, J. Miller, D. E. McClelland, and P. Fritschel, “Tip-Tilt mirror suspension: Beam steering for Advanced LIGO sensing and control signals,” Submitted to: Rev. Sci. Instrum. (2011).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited