Parametric oscillatory instability in Fabry-Perot cavity with Gauss and Laguerre-Gauss pumping mode profiles

S.E. Strigin and S.P. Vyatchanin1

Abstract

Parametric instabilities are calculated in the Fabry-Perot cavities of the gravitational-wave interferometers Advanced VIRGO and LIGO with Gauss and Laguerre-Gauss main mode profiles. We have revealed all unstable combinations of the elastic and Stokes' optical modes for both the optical pumping mode TEM00 and for the Laguerre-Gauss pumping mode LG33.

References

  1. V. B. Braginsky, S. E. Strigin, and S. P. Vyatchanin, Phys. Lett. A 287, 331 (2001).
  2. E. D'Ambrosio and W. Kells, Phys. Lett. A 299, 326 (2002).
  3. V. B. Braginsky, S. E. Strigin, and S. P. Vyatchanin, Phys. Lett. A 305, 111 (2002).
  4. C. Zhao et al, Phys. Rev. A 78, 023807 (2008).
  5. V. V. Meleshko, S. E. Strigin, and M. S. Yakymenko, Phys. Lett. A 373, 3701 (2009).
  6. C. Zhao, L. Ju, J. Degallaix, S. Gras and D.G. Blair, Phys. Rev. Lett 94, 121102 (2005).
  7. L. Ju, C. Zhao, S. Gras, J. Degallaix, D. G. Blair, J. Munch, and D. H. Reitze, Phys. Lett. A 355, 419 (2006).
  8. L. Ju, S. Gras, C. Zhao, J. Degallaix, and D.G. Blair, Phys. Lett. A 354, 360 (2006).
  9. S. Gras, D.G. Blair, and C. Zhao, Class. Quantum Grav. 26, 135012 (2009).
  10. S. E. Strigin, D. G. Blair, S. Gras, and S.P. Vyatchanin, Phys. Lett. A 372, 5727 (2008).
  11. S.E. Strigin, Phys. Lett. A 372, 6305 (2008).
  12. E. D'Ambrosio, R. O'Shaughnessy, S. E. Strigin, K. Thorne, and S. P. Vyatchanin, gr-qc/0409075.
  13. R. O'Shaughnessy, S. E. Strigin and S. P. Vyatchanin, gr-qc/0409050.
  14. M. Bondarescu and K.S. Thorne, Phys. Rev. D 74, 082003 (2006).
  15. M. Bondarescu, O. Kogan, and Y. Chen, Phys. Rev. D 78, 082002 (2008).
  16. B. Mours, E. Tournefier, and J.-Y. Vinet, Class. Quantum Grav. 23, 5777 (2006).
  17. J. Arlt, K. Dholakia, L. Allen, and M.J. Padgett, J. of Modern Optics 45, 1231 (1998).
  18. M. A. Clifford, J. Arlt, J. Courtial, and K. Dholakia, Optics Communications 156, 300 (1998).
  19. S.A. Kennedy, M. J. Szabo, H. Teslow, J.Z. Porterfield, and E.R. Abraham, Phys. Rev. A 66, 043801 (2002).
  20. J. Courtial and M.J. Padgett, Optics Communications 159, 13 (1999).
  21. A.T. O'Neil and J. Courtial, Optics Communications 181, 35 (2000).
  22. S.-C. Chu and K. Otsuka, Optics Communications 281, 1647 (2008).
  23. S. Chelkowski, S. Hild, and A. Freise, arXiv: 0901.4931.
  24. B. P. Abbott et al., Rep. Progr. Physics 72, 076901 (2009).
  25. V. B. Braginsky, Yu. Levin, and S. P. Vyatchanin, Meas. Sci. Technol. 10, 598 (1999).
  26. S. Gras, D.G. Blair, and C. Zhao, Class. Quantum Grav. 26, 135012 (2009).
  27. S. Gras, C. Zhao, D.G. Blair, and L. Ju, Class. and Quantum Grav, in press.
  28. M. Evans, L. Barsotti, and P. Fritschel, Phys. Lett. A, in press (doi: 10.1016/j.physleta.2009.11.023).
For more information about this paper please visit Springer's Home Page of this paper.



Back to The Contents Page