Do the shock waves from a supersonic plane affect general aviation planes? Are there any considerations to take into account when flying around supersonic aircraft? I know that wake turbulence from large aircraft can pose a threat to smaller planes. Is the same true of the shock waves generated by planes in supersonic flight?

For instance, do fighter pilots need to be aware of the shock waves caused by other fighter planes in the vicinity?
Great question!  I am far from an expert in supersonic flight, but according to this NASA chat transcript, Ed Haering (an aerospace engineer at NASA's Dryden Flight Research Center in Edwards, Ca. who I would consider to be an expert) answers just this question and says that it isn't a problem for other airplanes:


  chetman1020: Do sonic booms ever disrupt other things in the air?
  
  Ed: Sonic booms can temporarily dissipate or accentuate a "Sun-Dog," the small bit of a rainbow off to either side of the Sun
  caused by high altitude ice crystals. Aircraft are not affected by
  booms from other aircraft.