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

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Table D.1

Results for RingI60 models with different r₀.

r₀	integrated parameters $Σ X / Σ {Q^{'}}_{ϕ}$ ${\rm{\Sigma }}X/{\rm{\Sigma }}{{Q'}_\phi }$							cross talk	quadrant values $Σ X_{x x x} / Σ {Q^{'}}_{ϕ}$ ${\rm{\Sigma }}{X_{xxx}}/{\rm{\Sigma }}Q'$					note
mas	ΣQ_Φ [%]	ΣQ [%]	ΣP [%]	Σ\|Q_Φ\| [%]	Σ\|U_Φ\| [%]	Σ\|Q\| [%]	Σ\|U\|[%]	$\frac{Σ \| U_{ϕ} \|}{Σ \| Q_{ϕ} \|}$ ${{{\rm{\Sigma }}\left\| {{U_\phi }} \right\|} \over {{\rm{\Sigma }}\left\| {{Q_\phi }} \right\|}}$	Q₀₀₀ [%]	Q₀₉₀ [%]	Q₁₈₀ [%]	U₀₄₅ [%]	U₁₃₅ [%]
intrinsic RingI60 model
all	100	42.1	100	100	0	70.3	56.6	0	−0.7	+28.1	−13.4	−4.1	+24.3
unresolved RingI60 model
unres.	0	42.1	42.1	26.8 ^a	26.8 ^a	42.1	0	1	+ 10.5	+ 10.5	+ 10.5	0	0
PSF_g convolved
3.15^b	1.5	42.1	42.6	27.1	27.1	42.1	5.1:	1.00	+10.0	+11.1	+ 10.4	+1.1	+1.5
6.3	5.7	42.1	43.7	28.0	27.7	42.1	10.0	0.99	+9.2	+11.9	+9.5	+1.9	+3.1
12.6	19.2	42.1	47.4	31.9	28.5	42.1	18.7	0.89	+7.1	+14.3	+5.7	+2.7	+6.7
25.2	51.3	42.1	62.8	52.7	26.1	47.8	32.0	0.50	+2.1	+20.7	−1.6	+1.4	+13.4
50.4	83.2	42.1	86.6	83.4	18.0	62.8	46.6	0.22	−0.3	+25.7	−9.0	−2.0	+20.4
100.8	95.7	42.1	98.4	95.7	8.5	68.3	53.9	0.09	−0.6	+27.4	−12.2	−3.6	+23.3
201.6	98.7	42.1	98.9	98.7	3.2	69.6	55.8	0.03	−0.7	+28.0	−13.3	−3.9	+24.0
PSF_AO convolved
6.3^b	2.5	41.2	41.7	26.6	26.6	41.2	4.8	1.00	+9.5	+11.3	+10.0	+1.0	+1.7
12.6	8.4	41.4	43.2	28.1	27.0	41.4	9.2	0.96	+8.4	+12.4	+8.9	+1.3	+3.2
25.2	22.3	41.4	48.0	35.1	25.9	42.1	15.5	0.74	+6.5	+14.9	+5.5	+1.1	+6.5
50.4	40.4	41.4	58.7	49.5	22.4	47.7	23.7	0.45	+4.5	+18.0	+1.0	0.0	+10.6
disk	40.3	29.4	46.7	41.8	14.8	35.7	22.9	0.35	+1.5	+15.0	−1.9	0.0	+10.4	< 0.2″
halo	0.1	12.0	12.0	7.7	7.7	12.0	0.9	1.00	+3.0	+3.0	+3.0	+0.1	+0.1	> 0.2″
100.8	55.9	41.4	70.2	63.7	17.9	54.3	32.5	0.28	+3.2	+20.5	−2.8	−1.2	+14.0
201.6	63.9	41.1	76.1	71.1	13.8	57.4	37.9	0.19	+2.7	+21.6	−4.9	−1.9	+15.9
403.2^c	68.6	40.9	78.1	73.9	10.1	57.9	40.7	0.14	+2.2	+22.4	−6.1	−2.0	+17.2
806.4^c	74.9	39.8	79.6	76.4	8.4	57.8	43.1	0.11	+0.9	+23.4	−7.9	−2.0	+18.7

Notes. The table lists the integrated polarization ΣX and quadrant polarization parameters ΣX_xxx, and the Σ|U_ϕ|/Σ|Q_ϕ| convolution cross talk ratios for RingI60 models with different r₀ convolved with PSF_G and PSF_AO. All ΣX and ΣX_xxx values are normalized by the intrinsic polarization $Σ Q_{ϕ}^{'} = 100 %$ $\Sigma Q_\phi ^\prime = 100\%$ . ^(a)Analytical result for an unresolved model convolved with an extended PSF, ^(b)small models with uncertainties larger than two unit in the last digit for some parameters because of the limited numerical sampling for the innermost region, ^(c)large disks, for which more than 2 % of ΣQ falls outside of the r < 1.5″ integration region.

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