Table 1
Notations.
| Notation | Description |
|---|---|
| Subscript ⋆ | Parameters of the stellar model |
| Subscript ⊕ | Parameters of the companion model |
| d ∈ ℝN | Science data |
| m ∈ ℝN | Sampled model of d |
| w ∈ ℝN | Diagonal of the precision matrix of d |
| λ ∈ ℝN | Pixel-wise wavelengths |
| ρ ∈ ℝN | Pixel-wise angular positions |
| f⋆ | Continuous star SED |
 |
Sampled star SED f⋆ |
 |
Sampling wavelengths for x |
 |
Interpolation operator: x to pixel-wise f⋆ |
| h⋆ | Continuous on-axis PSF |
 |
Sampled on-axis PSF h⋆ at λref |
 |
Sampling angles for y |
| ρ⋆ | Angular position of the star |
| v⋆ ∈ Ω⋆ | Calibration parameters of h⋆ |
| Ω⋆ | Feasible set h⋆ parameters |
 |
Interpolation operator: y to pixel-wise h⋆ at λref |
| f⊕ | Continuous companion SED |
 |
Sampled companion SED f⊕ |
 |
Sampling wavelengths for z |
 |
Interpolation operator: z to pixel-wise f⊕ |
| h⊕ | Continuous off-axis PSF |
| h⊕ ∈ ℝN | Sampled off-axis PSF h⊕ at λref |
| v⊕ ∈ Ω⊕ | Calibration parameters of h⊕ |
| Ω⊕ | Feasible set of h⊕ parameters |
| ρ⊕ ∈ ℝ | Angular position of the companion |
| µ = (µx,µy,µz) | Hyper-parameters |
| γ ∈ ℝN | Pixel-wise chromatic scaling factors |
| v = (v⋆, v⊕) ∈ Ω | Calibration parameters |
| Ω = Ω⋆ ×Ω⊕ | Feasible set of calibration parameters |
| Λ | Spectral dispersion law |
| a | Parameters of the spectral dispersion law |
| ƍ | Angular dispersion law |
| s | Parameters of the angular dispersion law |
| Δρ | Width of the coronagraphic mask |
Notes. Lowercase letters are for continuous functions and scalars (e.g., f⋆), boldface lowercase letters for vectors (e.g., x), and boldface uppercase letters for linear mappings, a.k.a. matrices (e.g., F⋆). Vectors with a hat (e.g., 
) are estimators. The main unknowns of the problem are x, the sampled star SED, y, the sampled on-axis PSF, and z, the sampled companion SED.
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