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Table 2.

Biases and uncertainties in identifying and quantifying bars in the simulated low-S/N JWST images.

S/N Δ a obs S / N / a obs n = 4.3 ¯ $ \overline{{\Delta} a_{\mathrm{obs}}^{S/N} / a_{\mathrm{obs}}^{n=4.3}} $ σ Δ a obs S / N / a obs n = 4.3 $ \sigma_{{\Delta} a_{\mathrm{obs}}^{S/N} / a_{\mathrm{obs}}^{n=4.3}} $ Δ ϵ obs S / N / ϵ obs n = 4.3 ¯ $ \overline{\Delta{\epsilon_{\mathrm{obs}}^{S/N}}/\epsilon_{\mathrm{obs}}^{n=4.3}} $ σ Δ ϵ obs S / N / ϵ obs n = 4.3 $ \sigma_{\Delta{\epsilon_{\mathrm{obs}}^{S/N}}/\epsilon_{\mathrm{obs}}^{n=4.3}} $ Δ PA obs S / N ¯ $ \overline{\Delta{\mathrm{PA}_{\mathrm{obs}}^{S/N}}} $ σ Δ PA obs S / N $ \sigma_{\Delta{\mathrm{PA}_{\mathrm{obs}}^{S/N}}} $ ηeff μ e ¯ $ \overline{\mu_{e}} $
(°) (°) (mag arcsec−2)
(1) (2) (3) (4) (5) (6) (7) (8) (9)
62 0.00 0.02 0.00 0.05 −0.02 0.02 1.00 18.96
44.3 0.00 0.02 0.00 0.05 0.05 0.02 1.00 19.64
31.6 0.00 0.02 0.00 0.05 0.03 0.02 1.00 20.30
22.6 0.00 0.03 0.00 0.05 −0.08 0.03 1.00 20.92
16.1 0.00 0.02 0.01 0.05 0.04 0.02 1.00 21.51
11.5 0.01 0.04 0.00 0.06 −0.01 0.04 1.00 22.06
8.2 0.01 0.03 0.01 0.06 −0.01 0.03 1.00 22.57
5.9 0.02 0.05 0.01 0.07 −0.15 0.05 0.99 23.04
4.2 0.03 0.05 0.01 0.08 −0.05 0.05 0.99 23.50
3 0.04 0.06 0.01 0.09 −0.46 0.06 0.96 23.93

Notes. Col. (1) list the different S/N levels; Col. (2) the averaged value of the fractional difference Δ a obs S / N / a obs n = 4.3 $ {{\Delta} a_{\mathrm{obs}}^{S/N} / a_{\mathrm{obs}}^{n=4.3}} $, where Δ a obs S / N = ( a obs S / N − a obs n = 4.3 ) $ {\Delta} a_{\mathrm{obs}}^{S/N} = (a_{\mathrm{obs}}^{S/N} - a_{\mathrm{obs}}^{n=4.3}) $; Col. (3) the standard deviation of Δ a obs S / N / a obs n = 4.3 $ {{\Delta} a_{\mathrm{obs}}^{S/N} / a_{\mathrm{obs}}^{n=4.3}} $; Col. (4) the averaged value of the fractional difference Δ ϵ obs S / N / ϵ obs n = 4.3 $ \Delta{\epsilon_{\mathrm{obs}}^{S/N}}/\epsilon_{\mathrm{obs}}^{n=4.3} $, where Δ ϵ obs S / N = ( ϵ obs S / N − ϵ obs n = 4.3 ) $ {\Delta} \epsilon_{\mathrm{obs}}^{S/N} = (\epsilon_{\mathrm{obs}}^{S/N} - \epsilon_{\mathrm{obs}}^{n=4.3}) $; Col. (5) the standard deviation of Δ ϵ obs S / N / ϵ obs n = 4.3 $ {{\Delta} \epsilon_{\mathrm{obs}}^{S/N} / \epsilon_{\mathrm{obs}}^{n=4.3}} $; Col. (6) the averaged value of the difference Δ PA obs S / N = PA obs S / N − PA obs n = 4.3 $ \Delta{\mathrm{PA}_{\mathrm{obs}}^{S/N}} = \mathrm{PA}_{\mathrm{obs}}^{S/N}-\mathrm{PA}_{\mathrm{obs}}^{n=4.3} $; Col. (7) the standard deviation of PA obs S / N $ \mathrm{PA}_{\mathrm{obs}}^{S/N} $; Col. (8) the effectiveness of detecting bars at a specific S/N level; and Col. (9) the effective surface brightness μe.

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