Resolution and calibration effects in high contrast polarimetric imaging of circumstellar scattering regions

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Table E.1

Results for the RingI60 models with r₀ = 100.8 mas using different zp-corrections.

Σ_zp	Σ_int	$Σ_{i^{'}} X / Σ Q_{ϕ}^{'}$ ${{\rm{\Sigma }}_{i'}}X/{\rm{\Sigma }}Q_\phi ^\prime$			$Σ_{i^{'}} Q_{x x x} / Σ Q_{ϕ}^{'} [%]$ ${{\rm{\Sigma }}_{i'}}{Q_{xxx}}/{\rm{\Sigma }}Q_\phi ^\prime [{\rm{\% }}]$
Σ_i	$Σ_{i^{'}}$ ${{\rm{\Sigma }}_{i'}}$	Q_ϕ	Q	P	Q₀₀₀	Q₀₉₀	Q₁₈₀
intrinsic parameters
	Σ	100.	+42.1	100.	−0.7	+28.1	−13.4
PSF_AO convolved parameters
	Σ	55.9	+41.4	70.2	+3.2	+20.5	−2.8
	Σ₁	0.2	−0.2	0.3	0.0	0.0	−0.2
	Σ₂	55.2	+29.3	57.5	+0.3	+17.3	−5.6
	Σ₃	0.5	+12.2	12.4	+3.0	+3.2	+3.0
Σ_zp: whole system
Σ	Σ	55.8	0.0	82.6	−6.6	+9.6	−13.6
Σ	Σ₁	0.2	−18.4	18.4	−4.2	−4.9	−5.1
Σ	Σ₂	55.2	+18.1	61.7	−2.3	+14.4	−8.6
Σ	Σ₃	0.5	+0.3	2.4	0.0	+0.2	0.0
Σ_zp : central star
Σ₁	Σ	55.8	+41.8	70.4	+3.4	+20.6	−2.6
Σ₁	Σ₁	0.2	0.0	0.4	0.0	0.0	−0.1
Σ₁	Σ₂	55.2	+29.7	57.5	+0.3	+17.3	−5.5
Σ₁	Σ₃	0.5	+12.4	12.5	+3.0	+3.2	+3.0
Σ_zp: disk
Σ₂	Σ	55.8	−66.3	140.	−22.3	−7.7	−31.1
Σ₂	Σ₁	0.2	−47.6	47.6	−11.0	−12.7	−12.9
Σ₂	Σ₂	55.1	0.0	73.2	−6.6	+9.6	−13.4
Σ₂	Σ₃	0.5	−18.7	18.9	−4.8	−4.6	−4.8
Σ_zp: disk and halo
Σ₂₊₃	Σ	55.8	−32.9	109.	−14.4	+1.1	−22.3
Σ₂₊₃	Σ₁	0.2	−32.8	32.9	−7.6	−8.8	−8.9
Σ₂₊₃	Σ₂	55.1	+9.1	67.1	−4.4	+12.0	−10.9
Σ₂₊₃	Σ₃	0.5	−9.1	9.5	−2.4	−2.2	−2.4
Σ_zp : halo
Σ₃	Σ	55.8	−1.2	83.3	−6.8	+9.3	−13.9
Σ₃	Σ₁	0.2	−18.9	18.9	−4.3	−5.0	−5.2
Σ₃	Σ₂	55.2	+17.7	61.9	−2.4	+14.3	−8.6
Σ₃	Σ₃	0.5	0.0	2.5	−0.1	+0.1	−0.1

Notes. The table lists integrated polarization X = Q_ϕ, Q, P and quadrant polarization values Q_xxx for different integration regions Σ_int of the PSF_AO convolved model, and for corresponding zp-corrected models using different zp-correction regions Σ_zp. The parameters $Σ_{i^{'}} X$ ${{\rm{\Sigma }}_{i'}}X$ and $Σ_{i^{'}} X_{x x x}$ ${{\rm{\Sigma }}_{i'}}{X_{xxx}}$ for the table columns stand for intrinsic values X = X′ and $Q_{x x x} = {Q^{'}}_{x x x}$ ${Q_{xxx}} = {{Q'}_{xxx}}$ , for convolved values X and Q_xxx, and for values X^zi and $Q_{x x x}^{z i}$ $Q_{xxx}^{zi}$ with zp-corrections based on region Σ_zp = Σ_i, integrated in region $Σ_{z p} = Σ_{i}$ ${{\rm{\Sigma }}_{zp}} = {{\rm{\Sigma }}_i}$ (Table A.2). All values are normalized to the intrinsic azimuthal polarization $Σ Q_{ϕ}^{'}$ ${\rm{\Sigma }}Q_\phi ^\prime$ .

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