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un:radio-interferometer [2025/11/21 22:31] – created asadun:radio-interferometer [2025/11/21 22:34] (current) asad
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-====== Two-Element Radio Interferometer ======+====== Radio interferometer ======
  
 A two-element radio interferometer is the simplest building block of aperture-synthesis radio astronomy. It consists of two spatially separated antennas whose voltage outputs are multiplied and time-averaged by a *correlator*. Even very large arrays with \(N \gg 2\) antennas can be understood as a collection of \(N(N-1)/2\) independent two-element interferometers, each sampling one Fourier component of the sky brightness distribution. A two-element radio interferometer is the simplest building block of aperture-synthesis radio astronomy. It consists of two spatially separated antennas whose voltage outputs are multiplied and time-averaged by a *correlator*. Even very large arrays with \(N \gg 2\) antennas can be understood as a collection of \(N(N-1)/2\) independent two-element interferometers, each sampling one Fourier component of the sky brightness distribution.
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 Consider two identical antennas separated by a baseline vector \(\vec{b}\) of length \(b\), pointing toward a distant source in the direction of the unit vector \(\hat{s}\). If the angle between \(\vec{b}\) and \(\hat{s}\) is \(\theta\), then the plane wave from the source arrives at the two antennas at slightly different times. The extra path the wavefront travels to reach antenna 1 is Consider two identical antennas separated by a baseline vector \(\vec{b}\) of length \(b\), pointing toward a distant source in the direction of the unit vector \(\hat{s}\). If the angle between \(\vec{b}\) and \(\hat{s}\) is \(\theta\), then the plane wave from the source arrives at the two antennas at slightly different times. The extra path the wavefront travels to reach antenna 1 is
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