Data-calibrated point spread function prediction - General description of the method and demonstration on MUSE-NFM

Open Access

Table B.1

Glossary of the key variables used in this work.

Parameter	Description
r₀(λ)	Fried parameter λ.
L₀	Atmospheric turbulence outer scale.
τ₀	Atmospheric coherence time.
$C_{n}^{2}$ $Mathematical equation: $\[C_{n}^{2}\]$$	Refractive-index structure constant profile.
N_L	Number of discrete turbulent layers.
h	Turbulent layers altitudes.
w	Relative turbulence layer weights.
V	Turbulence layer wind velocities.
P(x)	Telescope pupil mask.
δx(λ), δy(λ)	Sub-pixel astrometric shifts in the focal plane.
J_x(λ), J_y(λ)	FWHM of residual TT jitter.
θ_J	Rotation angle of the TT jitter reference frame.
F(λ)	Flux normalization factor.
b(λ)	Constant background flux.
θ_zen	Zenith angle of the observation.
θ	Angular position of the science target.
α_pix	On-sky pixel scale.
A, B	Amplitude and background terms of ΔW.
α_M, β_M	Width and slope parameters of ΔW.
a_b	Scaling coefficient of the static phase bump.
Δσ²	Additional noise variance term.
d_act	DM actuator pitch.
d	WFS subaperture size.
λ_atm	Atmospheric phase normalization wavelength.
λ_GS	Guide-star WFS wavelength.
N_GS	Number of guide stars.
α	Angular positions of the guide stars.
$σ_{det}^{2}$ $Mathematical equation: $\[\sigma_{\text {det}}^{2}\]$$	WFS detector noise variance..
D	Telescope primary mirror diameter.
Δt	WFS integration time.
ζ	Effective AO loop delay.

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