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LGS AO photon return simulations and laser requirements for the Gemini LGS AO program. Céline d’Orgeville, François Rigaut and Brent Ellerbroek. Gemini LGS AO program. Mid-2001 Gemini South 85-element curvature AO system with a 2-Watt CW commercial dye laser 2002-2003
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LGS AO photon return simulations and laser requirements for the Gemini LGS AO program Céline d’Orgeville, François Rigaut and Brent Ellerbroek SPIE conference, Munich
Gemini LGS AO program • Mid-2001 • Gemini South 85-element curvature AO system with a 2-Watt CW commercial dye laser • 2002-2003 • Gemini North 12x12 Shack-Hartmann altitude-conjugated AO system (ALTAIR) • LGS upgrade with a 10-Watt-class laser • 2004 • Gemini South Multi-Conjugated AO system (MCAO) with 3 DMs and 5 LGSs created by a 50-Watt-class laser or 5x10-Watt-class lasers SPIE conference, Munich
How do we set laser power requirements? 1/ Compute “photon return” requirement i.e. photon flux at the primary mirror of the telescope • Example of the Mauna Kea LGS AO system • Science drivers moderate Strehl = 0.2 - 0.3 @ 1.6 mm (H) • Full LGS AO code simulation LGS magnitude 11 • Assumptions: atmospheric and optical transmissions, detector quantum efficiency photon return 80 photon/cm2/s • Factor of 2 margin to account for: non ideal laser beam quality, miscellaneous aberrations photon return requirement =160 photon/cm2/s SPIE conference, Munich
How do we set laser power requirements? 2/ Assume atmospheric and optical transmission, assume sodium layer parameters and seeing 3/ Assume spatial, temporal and spectral characteristics of candidate laser 4/ Compute laser/sodium interaction efficiency 5/ Derive laser output power requirement from photon return requirement SPIE conference, Munich
Laser power requirementin the no-saturation limit • Use small-signal “slope efficiency” numbers 1 • A first guess • gives order of magnitude for laser power requirements • enable comparison between different laser formats • But results do not include saturation effects which are more than likely to occur within small LGS spot diameters Need a code including saturation effects 1 Telle et al., Proc. of the SPIE Vol. 3264 (1998) SPIE conference, Munich
Saturation model for CW lasers • IDL code • Approach based on Doppler-broadened absorption cross-section of the sodium D2 line • Spectral and spatial saturation model • monomode, multimode or phase-modulated laser spectrum centered on D2 line highest peak • variable bandwidth, mode spacing and envelope shape • saturation per velocity group of sodium atoms (sodium natural linewidth = 10 MHz) • gaussian LGS spot profile • Compute photon return vs. laser power and spectral bandwidth SPIE conference, Munich
10 W SATURATION 100 W 10 W Normalized intensity 100 W Spatial Spectral Spot radius (cm) Frequency (MHz) Two saturation effects SPIE conference, Munich
No-saturation limit 500 MHz Photon return (Photon/cm2/s) 5 modes, 30 MHz mode spacing Mono/multimode lasers give same results at the 10-W level 3 GHz Laser power (W) Efficiency comparisonbetween CW laser formats Photon return vs. laser power (both at sodium layer i.e. TBTO= TLLT= Tatmo= 1) SPIE conference, Munich
Gemini specifications • We choose not to include the seeing contribution into the LGS spot size calculation in order for the LGS AO system to be laser-limited on very good seeing nights • LGS parameters: • TBTO = 0.6 / 0.8 • TLLT = 0.9 • Tatmo = 0.8 • Sodium column density = 2 109 cm-2 • LLT diameter = 45 cm • 1/e2 intensity diameter on LLT M1 = 30 cm • Laser beam quality = 1.5 x DL • LGS spot 1/e2 intensity diameter = 36 cm SPIE conference, Munich
Gemini North photon return requirement = 160 photon/cm2/s Laser bandwidth (MHz) Laser power (W) Photon return (Photon/cm2/s) vs.laser output power and laser bandwidth within the Gemini assumptions* • FWHM = 36 cm, TBTO= 0.6, TLLT= 0.9, Tatmo= 0.8 SPIE conference, Munich
Optimum bandwidth (MHz) Optimum photon return (Photon/cm2/s) Laser power (W) CW laser bandwidth optimization Gemini photon requirement (160 photon/cm2/s) met for a CW laser in the 8-10 W range with 150-200 MHz bandwidth X X SPIE conference, Munich
X Inefficient spectral format (bandwidth > 3 GHz) Maximum efficiency at the 10-W level X Max. efficiency zone Laser bandwidth (MHz) Saturation X Laser power (W) Photon return per Wattof laser output power SPIE conference, Munich
Gemini North power requirements for a LGS at zenith Note: other laser formats (pulsed) are presented in the paper for which the effects of saturation are much worse SPIE conference, Munich
Conclusions • Do not underestimate the effect of saturation for LGS AO operation with small spot sizes • In the case of CW lasers, it is possible to balance saturation by increasing the laser spectral bandwidth • BUT increasing the laser spot size to balance saturation would be counter-productive in terms of the AO WFS signal-to-noise optimization • Most pulsed lasers show much more saturation • Gemini North (resp. South) laser power requirement is about 8 W (resp. 5x8 W) at zenith, up to 14 W (resp. 5x14 W) at 45º zenith angle • Paper available on Gemini/s web site:http://www.gemini.edu/sciops/instruments/adaptiveOptics/AOIndex.html SPIE conference, Munich