Estimate the number of pixels in an image

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SUMMARY

The discussion focuses on estimating the number of pixels required to map the full primary beam of LOFAR stations operating at 150MHz, with a maximum baseline of approximately 800 km. The angular resolution is calculated using the formula: Wavelength / Baseline Length, resulting in an angular resolution of 2.5 x 10^-6 radians or 0.52 arcseconds. The challenge lies in relating this angular resolution to the image size, which is suggested to be a 50m square. Clarification on the term "full resolution" is also sought.

PREREQUISITES
  • Understanding of angular resolution in radio astronomy
  • Familiarity with LOFAR (Low-Frequency Array) technology
  • Basic knowledge of wavelength and baseline length concepts
  • Ability to perform calculations involving radians and arcseconds
NEXT STEPS
  • Research the relationship between angular resolution and pixel density in imaging
  • Explore LOFAR station specifications and operational parameters
  • Learn about image processing techniques for radio astronomy
  • Investigate the implications of "full resolution" in astronomical imaging
USEFUL FOR

Astronomers, astrophysics students, and researchers involved in radio astronomy and imaging techniques will benefit from this discussion.

Mazin Nasralla
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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
 
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What is the angular resolution of a single LOFAR station? I guess "primary beam" refers to that.
 
Mazin Nasralla said:
... at full resolution.
Define "full resolution"
 

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