ALADDIN performance model Olivier Absil Laboratoire d’Astrophysique de Grenoble & Université de Liège 13/10/2008 ARENA Interferometry Workshop II Garching 1 Nulling interferometry: principle baseline – Flux integrated on the whole field-of-view • Calibration and/or modulation mandatory 13/10/2008 Constructive 0 π Destructive 2λ/D ~ 0.1” to 1” • Co-axial combination • Interferometric response: transmission map • No image ARENA Interferometry Workshop II Garching 2 λ/b Signals and noises • Stellar residuals – Geometric leakage • 4/π2 × (λ/b/θ)2 ~ 10−4 – Instrumental leakage • Due to turbulence • Bias + instability noise • Thermal background – Sky and optical train – Dominant from ground • Exozodiacal disc – 20 zodi: typically 10−4 to 10−5 of stellar signal (thermal IR) 13/10/2008 ARENA Interferometry Workshop II Garching 3 The GENIEsim software Absil et al. 2006 (A&A 448) Initialise instrument and generate the scene Simulate atmospheric turbulence Compute output fluxes and estimate noises Synthesize instantaneous transmission map 13/10/2008 ARENA Interferometry Workshop II Garching 4 Input parameters: atmosphere • Crude model for free air seeing • Seeing: 0.27” Mauna Kea L’ – Equivalent r0 = 38 cm • Coh. time τ0 = 7.9 msec – Equivalent vwind = 15 m/s • Water vapour seeing – ‹PWV› = 250 µm – σPWV = 1 µm L Dome C • Tsky = 230 K 13/10/2008 ARENA Interferometry Workshop II Garching 5 Input parameters: instrument • Baseline range: ~4 to 30 m • Telescope diameter: 1 m • Warm throughput: 80% – 5 mirrors at 230 K Siderostat Siderostat Afocal Telescope Afocal Telescope Tip-Tilt Mirror Tip-Tilt Mirror π Phase -shift π Phase -shift • Cold throughput: 10% Passive Delay Line – 15 mirrors at 150 K • Science band: 3.1 – 4.1 µm • Control loops Tip-Tilt Sensor Beam Combiner Tip-Tilt Sensor OPD Sensor – Fringe tracking (K band) – Tip-tilt control (J band) Modal Filter Cold Enclosure 13/10/2008 Active Delay Line ARENA Interferometry Workshop II Garching Science Detection 6 Sensitivity vs. baseline • Four representative targets • Integration: 30 min • Competition between – Stellar leakage – Exozodi transmission • Sensitivity in the 40-60 zodi range Absil et al. 2007 (A&A 475) 13/10/2008 ARENA Interferometry Workshop II Garching 7 Typical noise budget Signals Noises 1E+5 1E+9 1E+8 RMS photo‐electrons in 30 min 1.6E+8 Photo‐electrons in 30 min 1E+7 1E+6 1E+5 1.5E+6 1.3E+6 1.3E+5 1E+4 1E+3 1E+2 1E+4 1.8E+4 2.9E+4 3.5E+4 Geom. leak calib. Instr. leak calib. 5.3E+3 1E+3 1.2E+3 1E+2 1E+1 1E+1 1E+0 1E+0 20‐zodi disc Geometric Instrumental Background leakage leakage 13/10/2008 Background Instability (shot + cal) noise ARENA Interferometry Workshop II Garching Detector noise 8 Comparison with GENIE 700 GENIE‐UT GENIE‐AT ALADDIN 604 600 500 455 400 300 278 200 154 125 100 117 55 38 50 37 67 59 0 K0V ‐ 5pc 13/10/2008 G5V ‐ 10pc G0V ‐ 20pc ARENA Interferometry Workshop II Garching G0V ‐ 30pc 9 Stellar leakage calibration • Imperfect knowledge of stellar diameter – ∆θ~1% – Self-calibration possible K0V at 5 pc 13/10/2008 ARENA Interferometry Workshop II Garching 10 Integr. time / telescope diam. • No large improvement – 30min integration on 1m telescopes is appropriate 13/10/2008 ARENA Interferometry Workshop II Garching 11 Influence of boundary layer • At ground level: seeing 1.9”, τ0 ~ 2.9 msec – 1st problem: wave front quality • Multi-speckle Æ adaptive optics (20×20 actuators, 1 kHz) – 2nd problem: piston • Residual OPD ~25 nm @ 10 kHz (instead of 10 nm @ 4 kHz) • Dispersion control might be required (TBC) – Estimated sensitivity (G0V at 20 pc) • ~50 / ~200 zodi with / without AO (instead of 37 zodi) • Maximum tolerable seeing – Around 0.8” before significant performance decrease – Calibration may become difficult 13/10/2008 ARENA Interferometry Workshop II Garching 12 ALADDIN at Paranal? • Atmosphere: seeing 0.9”, τ0 ~ 3 msec • 1st problem: background – 8-m class telescopes would be required • 2nd problem: water vapour seeing – Dispersion control mandatory (fluctuation ~ 1 rad) • 3rd problem: wave front quality – A few speckles Æ intensity control (or AO) • Tip-tilt control (1 kHz) Æ intensity variation of 7% • Estimated sensitivity (G0V at 20 pc) – ~250 / ~3000 zodi with / without dispersion control 13/10/2008 ARENA Interferometry Workshop II Garching 13 Final benchmark: space missions > 40 m Defrère et al. 2008 (A&A 490) Best performance with FKSI, but compare price (~700M$) 13/10/2008 ARENA Interferometry Workshop II Garching 14