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Radio Imaging and CLEAN - NRAO

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imsize <strong>and</strong> cell<br />

• cell<br />

– should satisfy sampling theorem for the longest baselines,<br />

Δx < 1/(2 u max ), Δy < 1/(2 v max )<br />

– in practice, 3 to 5 pixels across the main lobe of the dirty beam<br />

• imsize<br />

– natural resolution in (u,v) plane samples FT{A(x,y)}, implies image size<br />

2x primary beam<br />

– primary bean ~ 1.2 * λ/D, D = telescope diameter<br />

– e.g., ALMA: 870 µm, 12 m telescope → 2 x 18 arcsec<br />

* not restricted to powers of 2 (in fact internal padding complicates)<br />

* if there are bright sources in the sidelobes of A(x,y), then they will be<br />

aliased into the image (need to make a larger image)<br />

Sunday, January 22, 2012<br />

39

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