How is gain defined for a receiver antenna? If we look at a radiating antenna, there is a Pin, and the gain in a particular direction would be the radiation intensity Ur, divided by the radiation intensity of a lossless isotropic antenna Ui, in that particular direction. G = Ur/Ui = (4pi * Ur)/Pin.
But, what is the baseline for the receiving scenario. I know it is the isotropic antenna, but in which way? What does Pin (as the very basis for the comparison) translates to in the receiving scenario?