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Hiya Neil.
I’ll admit it’s been a lot of years since I was in physics class and as such I looked for a recent source to confirm that I was correct in recalling that the inverse square does apply to radio. The ARRL is usually considered a good source for such things so far as I know, but my copy of the ARRL’s Amatuer handbook is from WWII. So I hit google and the reference comes from their pdf of the 1999 second edition of the article “Antenna Height and Communication Effectiveness”.
pg 15 (document pg#, not pdf pg#), paragraph 2
In any case, if it is incorrect when it states in the article that “The transmitted field intensity decreases as the inverse square of the distance”, then I stand corrected. Maybe the article is wrong, I found it when looking for a reference to refresh my memory on the topic via the search string: ARRL signal distance “inverse square”
Perhaps someone should inform them?
Daniel