It is my understanding that the shock comes off the front and back of the airplane--every one I've ever heard was a double boom--and I spent 4 years at Edwards doing flight test.
If you want to get really, really technical about it, most supersonic aircraft throw off a whole series of oblique shocks, as you can see in a Schlieren image of a test article. Here's one for a T-38: NASA Image
Now every one of those shocks is a pressure discontinuity. Air hits the shock at one speed and angle, and leaves it at a different speed and angle. It's kind of like light waves "bending" when they hit glass or water at an angle -- think of the shocks defining the edges of the glass, not describing the fluid flow. What's happening is the supersonic freestreem is coming straight at the aircraft, and it's being forced to turn, first by the aircraft's nose, then the inlets or wing roots, the canopy, the structure, tail surfaces, etc. Each turn sets up its own shock.
The air also has to turn back to the direction of the freestream after the aircraft has passed. That's the "tail" shock. This and the nose shock are the strongest ones, because they correspond to the greatest amount of turning. The other shocks, all the little ones inside the cone of the nose shock, are much weaker -- they only turn the fluid a little bit, and the fluid is already mostly going the direction it needs to after encountering the nose. Correspondingly, the pressure discontinuities here are much smaller.
Now, again, with the Shuttle, because the Shuttle is the only aircraft that doesn't fit entirely within the cone of its own nose shock, it actually gives off two of them. So its "double boom" is two booms of extremely high amplitude. The Shuttle, like all other aircraft, has all of these other little shocks and also a tail shock as well, so it's not really a "double boom" and with sensitive equipment you can see all of these. But it is much more likely to sound like a double boom than any other vehicle.
Just FYI, Ryan, et al. The SR-71 sonic boom is a (Fairly) long, drawn-out thing, and not of a particularly high amplitude.
When I was at Edwards in the 1970's we flew the YF-12/SR aircraft with F-104 chase (only for T-O, landing, and refuel, of course). The SR-71 bOOm was a kaaaaa-boooooom.
The F-104 was a very sharp, rifle-like CRACK-crack! of a very, very short duration--and BTW-I've actually SEEN the shocks from a 104 on the lakebed!
The Flight Sciences guys told me that that was due to the fact the aerodynamic length of the SR is around 1000 feet, and the F-104 is more like 10 feet. Not being a fluids guy, I dunno.
Cool. I believe the long SR-71 boom, it was a very long aircraft and highly optimized for low drag, so the nose shock would have been relatively weak, perhaps comparable to the secondary shocks. It also would have entrained the air for some distance so the tail shock would be delayed quite a bit, I don't know about 1000 feet but it's possible. The Shuttle, in contrast, is trying to be as draggy as possible, so its wake is almost certainly turbulent and the tail shock would follow it closely...
As for the F-104, I wonder if you weren't hearing only the nose shock, but instead hearing it directly and then reflected off the lakebed? All of these effects will echo off of hard surfaces.
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