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Table N.1.
THEMIS xs-ringauss model parameters and priors.
| Parameter | Description | Units | Priora |
|---|---|---|---|
| I0 + I1 | Flux Density of Crescent and Fixed Gaussian | Jy | 𝒰(0, 2) |
| Rout | Outer Radius of Crescent | μas | 𝒰(0, 100) |
| ϕX | Position Angle | rad | 𝒰(−π, π) |
| ψ | Fractional Thickness | ... | 𝒰(0.0001, 0.9999) |
| τ | Structural Asymmetry | ... | 𝒰(0.0001, 0.9999) |
| fX | Flux Asymmetry | ... | 𝒰(0, 1) |
| σ* | Width of Gaussian Smoothing Kernel | μas | 𝒰(0, 100) |
| If | Flux Density of Central Gaussian Emission Floor | Jy | 𝒰(0, 2) |
| σf | Width of Central Gaussian Emission Floor | μas | 𝒰(0, 25) |
| IG | Flux Density of Large-Scale Gaussian | Jy | 𝒰(0, 10) |
| σG | Width of Large-Scale Gaussian | mas | ℒ10(−2, 10) |
| I1/I0 | Ratio of Fixed Gaussian Flux Density to Crescent Flux Density | ... | 𝒰(0, 1) |
| σx/Rout | Ratio of Fixed Gaussian Width to Outer Radius of Crescent | ... | 𝒰(0, 3) |
| σy/σx | Axis Ratio of Fixed Gaussian | ... | 𝒰(0, 100) |
| Ig | Flux Density of Additional Gaussian Component | Jy | 𝒰(0, 2) |
| x0 | Central x-coordinate of Additional Gaussian | μas | 𝒰(−200, 200) |
| y0 | Central y-coordinate of Additional Gaussian | μas | 𝒰(−200, 200) |
| σg | Width of Additional Gaussian | μas | 𝒰(0, 100) |
| Ag | Anisotropy of Additional Gaussian | ... | 𝒰(0, 0.99) |
| ϕg | Position Angle of Additional Gaussian | rad | 𝒰(0, π) |
a Logarithmic priors in base x spanning a range xa to xb are represented by ℒx(a, b), and uniform (linear) priors spanning a to b are represented by 𝒰(a, b).
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