Estimate the number of pixels in an image

[Mazin Nasralla]

Homework Statement

The physical size of a single LOFAR station, operating at 150MHz is about 50m. Estimate the number of pixels which would be needed to map the full primary beam if one wished to include all LOFAR stations (maximum baseline ~ 800 km) at full resolution.

Homework Equations

Angular Resolution = Wavelength / Baseline Length

The Attempt at a Solution

OK, so the resolution of the entire array is given by

Wavelength / Baseline Length which is 2m/800km = 2.5 x 10^-6 radians, or 0.52 arcseconds.

I don't how to relate this angular resolution to the image size which I think is a 50m square.

Can anyone help with this?

Thanks

 

[mfb]

What is the angular resolution of a single LOFAR station? I guess "primary beam" refers to that.

 

[phinds]

... at full resolution.

Define "full resolution"