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They look as if they might be home to families of extra-terrestrials recently arrived on earth from some sort of galactic cataclysm - and they are everywhere and increasing in number. Your average radome may look like it's from a science fiction novel but its real purpose is much more down to earth: it is a kind of umbrella.
It's all about the weather. Inside a radome there will be a microwave or radar antenna. If you build a case around something like a radar antenna then ordinarily something called attenuation happens - it's sometimes known as extinction. This is when flux gradually loses intensity through a medium. A simple example is you in the summertime - you wear dark glasses to attenuate sunlight.
(thanks Robert-John)The Presurfer