Afterglow linear polarization signatures from steep GRB jets: Implications for orphan afterglows

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Table 1.

Parameter space and afterglow model for the cases considered in Sect. 3.

Parameter	Value
θ_c	2°
Γ_c	250
$a = - \frac{d log E_{k, iso}}{d log θ} \|_{θ > θ_{c}}$ $a=-\frac{d\log E_{\mathrm{k,iso}}}{d\log\theta}\|_{\theta > \theta_c}$	2.5, 3.5, 4.5, 5.5, Top-hat jet
$b = - \frac{d log (Γ_{0} - 1)}{d log θ} \|_{θ > θ_{c}}$ $b=-\frac{d\log(\Gamma_0-1)}{d\log\theta}\|_{\theta > \theta_c}$	0
E_c [erg]	10⁵⁰
n_ISM [cm⁻³]	1
$k = - \frac{d ρ}{d log r}$ $k=-\frac{d\rho}{d\log r}$	0
ν_obs [Hz]	10¹⁵ (PLS G)
p	2.5
ϵ_e	0.1
ϵ_B	0.005
χ_e	1
d_L [cm]	10²⁸
z	0.54

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