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Table 2.

AO numerical simulation parameters.

Numerical simulation configuration
Telescope D = 39 m diameter
ELT pupil model (no spider arms)

von Kármán, ground layer only
Turbulence r0 at 500 nm: [8.9−21.5] cm
L0 = 25 m
Speed: 10 m s−1 [10–40]

On-axis natural guide star
Guiding Zero point: 2.6 × 1010 ph s−1 m−2
Magnitude MR: [0–18]

Tip-tilt mirror
DMs Hexagonal M4 model pattern
 Pitch of 54 cm, coupling of 0.24
 4302 controlled actuators

PWFS
 Subapertures 92 × 92 – pixel size 42 cm.
24 080 pixels used for control (a)
 Wavelength Monochromatic, 658 nm
 Throughput 0.28 (including quantum efficiency)
 Modulation Circular, 4 radius
 Readout noise 0.3 e

RTC controller
 Loop rate fS = 500 Hz
 Latency τ = 2T = 4 ms (b)
 Method Two step modal linear integrator
Pixels →[mi]×[Gi]→ actuators
 Basis DM Karhunen–Loève basis (c)

Real-time implementation
CLOSE p = 0.3; q± = 10−3; δkcrit = 5
r = 0. [−0.5, 0.5].

Notes. Values within brackets indicate probing ranges for various simulations reported across Sect. 5. Values preceding brackets indicate the default value for the parameter.

(a)

Bypassing the slope maps computation according to Guyon (2005), Clergeon (2014), and Deo et al. (2018b).

(b)

Extended to τ in [0, T, 2T] in Appendix C.

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