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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 29, Iss. 8 — Aug. 1, 2012
  • pp: 2176–2188

Modeling of pulsed-laser guide stars for the Thirty Meter Telescope project

Simon M. Rochester, Angel Otarola, Corinne Boyer, Dmitry Budker, Brent Ellerbroek, Ronald Holzlöhner, and Lianqi Wang  »View Author Affiliations

JOSA B, Vol. 29, Issue 8, pp. 2176-2188 (2012)

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The Thirty Meter Telescope (TMT) has been designed to include an adaptive optics system and associated laser guide star (LGS) facility to correct for the image distortion due to Earth’s atmospheric turbulence and achieve diffraction-limited imaging. We have calculated the response of mesospheric sodium atoms to a pulsed laser that has been proposed for use in the LGS facility, including modeling of the atomic physics, the light–atom interactions, and the effect of the geomagnetic field and atomic collisions. This particular pulsed-laser format is shown to provide comparable photon return to a continuous-wave (cw) laser of the same average power; both the cw and pulsed lasers have the potential to satisfy the TMT design requirements for photon return flux.

© 2012 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1310) Atmospheric and oceanic optics : Atmospheric scattering
(300.2530) Spectroscopy : Fluorescence, laser-induced
(350.1260) Other areas of optics : Astronomical optics
(010.1350) Atmospheric and oceanic optics : Backscattering

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: April 10, 2012
Manuscript Accepted: June 4, 2012
Published: August 1, 2012

Simon M. Rochester, Angel Otarola, Corinne Boyer, Dmitry Budker, Brent Ellerbroek, Ronald Holzlöhner, and Lianqi Wang, "Modeling of pulsed-laser guide stars for the Thirty Meter Telescope project," J. Opt. Soc. Am. B 29, 2176-2188 (2012)

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  1. Astronomy and Astrophysics Survey Committee, Board on Physics and Astronomy, Space Studies Board, National Research Council, Astronomy and Astrophysics in the New Millennium (The National Academies Press, 2001).
  2. Committee for a Decadal Survey of Astronomy and Astrophysics; National Research Council, New Worlds, New Horizons in Astronomy and Astrophysics (The National Academies Press, 2010).
  3. M. Schöck, S. Els, R. Riddle, W. Skidmore, T. Travouillon, R. Blum, E. Bustos, G. Chanan, S. G. Djorgovski, P. Gillett, B. Gregory, J. Nelson, A. Otárola, J. Seguel, J. Vasquez, A. Walker, D. Walker, and L. Wang, “Thirty meter telescope site testing I: overview,” Publ. Astron. Soc. Pac. 121, 384–395 (2009). [CrossRef]
  4. D. T. Gavel, E. L. Gates, C. E. Max, S. S. Olivier, B. J. Bauman, D. M. Pennington, B. A. Macintosh, J. Patience, C. G. Brown, P. M. Danforth, R. L. Hurd, S. A. Severson, and J. P. Lloyd, “Recent science and engineering results with the laser guidestar adaptive optic system at Lick Observatory,” Proc. SPIE 4839, 354–359 (2003). [CrossRef]
  5. M. Le Louarn, N. N. Hubin, and R. Arsenault, “Adaptive optics for second-generation VLT instruments,” Proc. SPIE 5490248–259 (2004). [CrossRef]
  6. P. L. Wizinowich, D. L. Mignant, A. H. Bouchez, R. D. Campbell, J. C. Y. Chin, A. R. Contos, M. A. v. Dam, S. K. Hartman, E. M. Johansson, R. E. Lafon, H. Lewis, P. J. Stomski, D. M. Summers, C. G. Brown, P. M. Danforth, C. E. Max, and D. M. Pennington, “The W. M. Keck Observatory laser guide star adaptive optics system: oerview,” Publ. Astron. Soc. Pac. 118, 297–309 (2006). [CrossRef]
  7. M. Boccas, F. Rigaut, M. Bec, B. Irarrazaval, E. James, A. Ebbers, C. d’Orgeville, K. Grace, G. Arriagada, S. Karewicz, M. Sheehan, J. White, and S. Chan, “Laser guide star upgrade of Altair at Gemini North,” Proc. SPIE 6272, 62723L (2006). [CrossRef]
  8. M. Hart, N. M. Milton, C. Baranec, K. Powell, T. Stalcup, D. McCarthy, C. Kulesa, and E. Bendek, “A ground-layer adaptive optics system with multiple laser guide stars,” Nature 466, 727–729 (2010). [CrossRef]
  9. M. Lloyd-Hart, R. Angel, N. M. Milton, M. Rademacher, and J. Codona, “Design of the adaptive optics systems for GMT,” Proc. SPIE 6272, 62720E (2006). [CrossRef]
  10. B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, C. Boyer, P. Byrnes, R. Conan, L. Gilles, G. Herriot, P. Hickson, E. Hileman, D. Joyce, B. Leckie, M. Liang, T. Pfrommer, J.-C. Sinquin, J.-P. Veran, L. Wang, and P. Welle, “Progress toward developing the TMT adaptive optical systems and their components,” Proc. SPIE 7015, 70150R (2008). [CrossRef]
  11. E. Diolaiti, J.-M. Conan, I. Foppiani, M. Lombini, C. Petit, C. Robert, L. Schreiber, P. Ciliegi, E. Marchetti, M. Bellazzini, L. Busoni, S. Esposito, T. Fusco, N. Hubin, F. Quiros-Pacheco, A. Baruffolo, S. D’Odorico, J. Farinato, B. Neichel, R. Ragazzoni, C. Arcidiacono, V. Biliotti, G. Bregoli, G. Cosentino, and G. Innocenti, “A preliminary overview of the multiconjugate adaptive optics module for the E-ELT,” Proc. SPIE 7015, 70150U (2008). [CrossRef]
  12. T. H. Jeys, “Development of a mesospheric sodium laser beacon for atmospheric adaptive optics,” Lincoln Lab. J. 4, 133–150 (1991).
  13. W. Happer, G. J. MacDonald, C. E. Max, and F. J. Dyson, “Atmospheric-turbulence compensation by resonant optical backscattering from the sodium layer in the upper atmosphere,” J. Opt. Soc. Am. A 11, 263–276 (1994). [CrossRef]
  14. R. Foy and A. Labeyrie, “Feasibility of adaptive telescope with laser probe,” Astron. Astrophys. 152, L29–L31 (1985).
  15. R. Q. Fugate, D. L. Fried, G. A. Ameer, B. R. Boeke, S. L. Browne, P. H. Roberts, R. E. Ruane, G. A. Tyler, and L. M. Wopat, “Measurement of atmospheric wavefront distortion using scattered light from a laser guide-star,” Nature 353, 144–146 (1991). [CrossRef]
  16. C. Steidel (2009). (From a talk about the TMT Science Goals before the GSMT Community Assessment Review (GCAR) Panel, Pasadena).
  17. K. Matthews, A. M. Ghez, A. J. Weinberger, and G. Neugebauer, “The first diffraction-limited images from the W. M. Keck Telescope,” Publ. Astron. Soc. Pac. 108, 615–619 (1996). [CrossRef]
  18. R. Schödel, T. Ott, R. Genzel, R. Hofmann, M. Lehnert, A. Eckart, N. Mouawad, T. Alexander, M. J. Reid, R. Lenzen, M. Hartung, F. Lacombe, D. Rouan, E. Gendron, G. Rousset, A.-M. Lagrange, W. Brandner, N. Ageorges, C. Lidman, A. F. M. Moorwood, J. Spyromilio, N. Hubin, and K. M. Menten, “A star in a 15.2-year orbit around the supermassive black hole at the centre of the Milky Way,” Nature 419, 694–696 (2002). [CrossRef]
  19. A. M. Ghez, S. Salim, N. N. Weinberg, J. R. Lu, T. Do, J. K. Dunn, K. Matthews, M. R. Morris, S. Yelda, E. E. Becklin, T. Kremenek, M. Milosavljevic, and J. Naiman, “Measuring distance and properties of the Milky Way’s central supermassive black hole with stellar orbits,” Astrophys. J. 689, 1044–1062 (2008). [CrossRef]
  20. L. Gilles, L. Wang, and B. L. Ellerbroek, “Impact of laser launch location on the performance of laser tomography and multiconjugate adaptive optics for extremely large telescopes,” Appl. Opt. 49, G114–G119 (2010). [CrossRef]
  21. L. Wang, A. Otarola, and B. Ellerbroek, “Impact of sodium laser guide star fratricide on multi-conjugate adaptive optics systems,” J. Opt. Soc. Am. A 27, A19–A28 (2010). [CrossRef]
  22. C. Boyer, B. Ellerbroek, L. Gilles, and L. Wang, “The TMT laser guide star facility,” in First AO4ELT Conference—Adaptive Optics for Extremely Large Telescopes (EDP Sciences, 2010), p. 04004.
  23. D. L. Fried, “Optical resolution through a randomly inhomogeneous medium for very long and very short exposures,” J. Opt. Soc. Am. 56, 1372–1379 (1966). [CrossRef]
  24. L. Gilles and B. Ellerbroek, “Shack-Hartmann wavefront sensing with elongated sodium laser beacons: centroiding versus matched filtering,” Appl. Opt. 45, 6568–6576 (2006). [CrossRef]
  25. R. Holzlöhner, S. M. Rochester, D. Bonaccini Calia, D. Budker, J. M. Higbie, and W. Hackenberg, “Optimization of cw sodium laser guide star efficiency,” Astron. Astrophys. 510, A20 (2010). [CrossRef]
  26. K. Avicola, J. M. Brase, J. R. Morris, H. D. Bissinger, J. M. Duff, H. W. Friedman, D. T. Gavel, C. E. Max, S. S. Olivier, R. W. Presta, D. A. Rapp, J. T. Salmon, and K. E. Waltjen, “Sodium-layer laser-guide-star experimental results,” J. Opt. Soc. Am. A 11, 825–831 (1994). [CrossRef]
  27. P. W. Milonni, R. Q. Fugate, and J. M. Telle, “Analysis of measured photon returns from sodium beacons,” J. Opt. Soc. Am. A 15, 217–233 (1998). [CrossRef]
  28. J.-P. Pique and S. Farinotti, “Efficient modeless laser for a mesospheric sodium laser guide star,” J. Opt. Soc. Am. B 20, 2093–2101 (2003). [CrossRef]
  29. E. Kibblewhite, “The physics of the sodium laser guide star: predicting and enhancing the photon returns of sodium guide stars for different laser technologies,” in Proceedings of the Advanced Maui Optical and Space Surveillance Technologies Conference, S. Ryan, ed. (Curran Associates, 2009), p. E33.
  30. W. Happer, Y.-Y. Jau, and T. Walker, Optically Pumped Atoms (Wiley-VCH, 2010).
  31. A. Corney, Atomic and Laser Spectroscopy (Clarendon, 2006).
  32. Available at http://budker.berkeley.edu/ADM/ .
  33. Available at http://computation.llnl.gov/casc/sundials/ .
  34. A. C. Hindmarsh, P. N. Brown, K. E. Grant, S. L. Lee, R. Serban, D. E. Shumaker, and C. S. Woodward, “SUNDIALS: suite of nonlinear and differential/algebraic equation solvers,” ACM Trans. Math. Softw. 31, 363–396 (2005). [CrossRef]
  35. Available at http://omniweb.gsfc.nasa.gov/vitmo/msis\_vitmo.html .
  36. V. I. Tatarski, Wave Propagation in a Turbulent Medium Translated from Russian by R. A. Silverman (McGraw-Hill, 1961).
  37. R. Holzlöhner, S. M. Rochester, T. Pfrommer, D. B. Calia, D. Budker, J. M. Higbie, and W. Hackenberg, “Laser guide star return flux simulations based on observed sodium density profiles,” Proc. SPIE 7736, 77360V (2010). [CrossRef]
  38. This formula for airmass dependence neglects the curvature of the Earth, which is a reasonable assumption for the range of zenith angles (≤60°) considered in this study.
  39. P. D. Hillman, J. D. Drummond, C. A. Denman, and R. Q. Fugate, “Simple model, including recoil, for the brightness of sodium guide stars created from cw single frequency fasors and comparison to measurements,” Proc. SPIE 7015, 70150L (2008). [CrossRef]
  40. D. B. Calia, R. Holzlöhner, I. Guidolin, F. Pedichini, M. Centrone, T. Kasper, G. Lombardi, W. Forth, S. Lewis, T. Pfrommer, and W. Hackenberg, “ELT LGS-AO: optimizing the LGS return flux,” in Second International Conference on Adaptive Optics for Extremely Large Telescopes (25–30Sept.2011, Victoria, BC, Canada) (to appear).

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