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un:reciprocity-theorem [2024/07/14 21:10] – created asadun:reciprocity-theorem [2024/07/14 21:10] (current) asad
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 In many cases in radio astronomy, we do not care about the phase relationship between voltage and current and, hence, the **weak** reciprocity theorem is enough which relates the two interpretations of the [[beam]] of a radio telescope: In many cases in radio astronomy, we do not care about the phase relationship between voltage and current and, hence, the **weak** reciprocity theorem is enough which relates the two interpretations of the [[beam]] of a radio telescope:
  
-$$ G(\theta,\phi) \propto \A_e(\theta,\phi) $$+$$ G(\theta,\phi) \propto A_e(\theta,\phi) $$
  
 where $G$ is the gain and $A_e$ the collecting area. For a lossless isotropic antenna the average area is simply $\lambda^2/(4\pi)$ and the average gain is unity. So where $G$ is the gain and $A_e$ the collecting area. For a lossless isotropic antenna the average area is simply $\lambda^2/(4\pi)$ and the average gain is unity. So
un/reciprocity-theorem.1721013037.txt.gz · Last modified: by asad

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