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The energy requirements are proportional to the beaming angle, so if we assume FRBs to be beamed, then the energy required decreases significantly. For example assuming a beam of 10 deg^2, this would give a reduction of a factor 648.



Assume the sender has an antenna at least as good as Arecibo. That antenna has a beam width of 4 minutes of arc.[1] That's 0.066 degrees, or about one ten millionth of the sky. So you get to divide the power requirements by 10^7.

[1] http://egg.astro.cornell.edu/alfalfa/ugrad/backgrnd/intro2ar...




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