Bayesian polarization calibration and imaging in very long baseline interferometry

Open Access

Table 1

List of prior distributions in the Bayesian polarization calibration and imaging model.

Model	Description	Prior
s	Polarization imaging model	2D 𝒢𝒫(ξ_s)
q	Polarization imaging model	2D 𝒢𝒫(ξ_q)
u	Polarization imaging model	2D 𝒢𝒫(ξ_u)
v	Polarization imaging model	2D 𝒢𝒫(ξ_v)
λ	Lognormal amplitude gain	1D 𝒢𝒫(ξ_λ)
ϕ	Phase gain	1D 𝒢𝒫(ξ_ϕ) or 𝒩(0, $σ_{ϕ}^{2}$ $Mathematical equation: $\[\sigma_{\phi}^{2}\]$$ )
a	Lognormal amplitude D-term	𝒩(m_a, $σ_{a}^{2}$ $Mathematical equation: $\[\sigma_{a}^{2}\]$$ )
b	Phase D-term	𝒩(0, $σ_{b}^{2}$ $Mathematical equation: $\[\sigma_{b}^{2}\]$$ )

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