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This theorem can also be derived in more detail by considering a partially-filled transmitter array as being the superposition of a fully-filled array plus an array consisting of only the gaps, broadcasting exactly out of phase with the filled array. The [[interference]] pattern between the two reduces the power in the main beam lobe by exactly the factor 1 - ''a''/''A''.
Note that the thinned array curse applies only to [[mutual coherence (physics) | mutually coherent]] sources. If the transmitting sources are not mutually coherent, the size of the ground spot does not depend on the relationship of the individual sources to one another, but is simply the sum of the individual spots from each source.
==Consequences==
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