A Crash Course in Radio Astronomy and Interferometry: 3 ... - NRAO
A Crash Course in Radio Astronomy and Interferometry: 3 ... - NRAO
A Crash Course in Radio Astronomy and Interferometry: 3 ... - NRAO
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Imag<strong>in</strong>g<br />
• sample Fourier doma<strong>in</strong> at discrete po<strong>in</strong>ts, i.e.,<br />
• so, the <strong>in</strong>verse Fourier transform of the ensemble of visibilities is:<br />
I<br />
Formal Description<br />
δ ij (u,v)<br />
• but the convolution theorem tells us:<br />
I I<br />
where (the po<strong>in</strong>t spread function)<br />
Fourier transform of sampled visibilities yields the true sky brightness<br />
convolved with the po<strong>in</strong>t spread function<br />
(the “dirty image” is the true image convolved with the “dirty beam”)
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