Extended sources


 

All formulae derived above are valid for point sources at the phase centre of the interferometer. The behaviour of extended sources is slightly different.


 

For a point source, the quantity , which can be expressed in units Jansky per beamsize, is independent of the beam size. This means that also the signal-to-noise ratio will be independent of the beam size.


 

The same is not true for extended sources! For an extended source (with constant surface brightness) that is larger than the synthesised beam, the flux density per beam varies as a function of beam size as


 

 

where is the flux density per beam area and is the imaging sensitivity of the interferometer.


 

RESOLUTION KILLS!

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