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Update paper.md
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annatartaglia authored Sep 26, 2024
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Expand Up @@ -65,7 +65,7 @@ In radio interferometry, each set of measurements, so-called visibilities, obtai

$$V_{ea}(b) = V_{src}(b)\,\text{exp}\left[-\frac{1}{2} D_\phi\left(\frac{b}{1+M}\right)\right],$$

in which $b$ is the baseline vector between observing stations. The magnification $M=D/R$ is the ratio of earth-scattering distance $D$ (i.e., the distance between earth and the scattering material) to scattering-source distance $R$.
in which $b$ is the baseline vector between observing stations. The magnification $M=D/R$ is the ratio of earth-scattering distance $D$ (i.e., the distance between earth and the scattering material) to scattering-source distance $R$. While convolution is performed through the above equation in Fourier space, where the kernel is analytically described, Comrade.jl provides a tool kit to compute the kernel on the image domain through FFT, and blur arbitral sky models with this kernel.

Refractive scattering further introduces compact substructures on the diffractively-scattered, angular-broadened images.
The compact substructures arise from phase gradients on the scattering screen $\nabla \phi(r)$.
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