Striving towards robust phase diversity on-sky - Implementing LIFT for VLT/MUSE-NFM

Open Access

Table 2

Notations used in this and subsequent sections.

Notation	Meaning
N	Number of PSFs in the cube,
M	Number of simulated or estimated modes,
W, H	Width and height of the PSF image,
ℐ_data	Cube of recorded PSFs,
I_data, _i	ith PSF in the cube (sample), i = 1,... N,
A_i	ith vector of modal coefficients
$A$ $\[\mathcal{A}\]$	Matrix of stacked coefficient vectors
I(A)	PSF simulated using modal coefficients vector A
ℐ( $A$ $\[\mathcal{A}\]$ )	Cube of simulated PSFs
1_N	Vector of ones of length N
⊗	Kronecker product
$L (\cdot)$ $\[\mathcal{L}(\cdot)\]$	Optimisation criterion/loss function
‖ ⋅ ‖₁	L₁-norm.

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