Abstract
The geometry of the wave forms of a supersonic rotor is described, based on a ray theory. The waves formed by a non-translating supersonic rotor are found to be limited by a hyperboloid, causing a cone of silence centred on the axis where only radiation from conventional noise sources may be observed. The wave region is limited by cusps which imply local focusing of the radiated energy. These fundamental features apply also to cases with hub motion but their geometry becomes complex. The approach is one in which non-linear effects necessarily are ignored, but the results appear to have value in delineating potential regions of shock formation in the free field. Applications include the shock radiation from supersonic fans in jet engines and the advancing blade slap problem in helicopters.
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