Short version: If an omnidirectional signal is being sent from one side of an object that causes appreciable attenuation does it result in an egg shaped detection envelop or something stranger?
Long version: As I understand it a point source omnidirectional signal should emanate equally in all directions and thus, in a perfect vacuum, should be detectable in a spherical volume dictated by the initial signal strength. However many of the source points for signals are not free floating antenna, they're mounted on ships, or stations, or even planet based. I was thinking about how signal detectability changes when the source is mounted on an object or structure that blocks an appreciable percentage of the initial output across half the theoretical sphere. Can we model the shape of the dectability envelope thus formed and what is that shape?
My immediate thought was something egg-shaped but then I couldn't work out what way around it would face viv-a-vis the occluded side and where the source would sit within it etc... and thought possibly the shape is far less straight forward.
For the purposes of answering this query please consider a case where the source is effectively sitting on a flat plate that absorbs half the initial signal strength that would other wise travel in that direction, on other side the signal is unimpeded and the signal is remains detectable down to, but not below, 1% of initial strength.