In actuality the longitudinal wave propagating in the barrel will go to the end of whatever the "pipe" is, meaning in reality it will go to the end of the brake before reflecting back, taking some minute amount of time to traverse that brake in both directions. That is the nature of wave propagation. So it will affect the timing of wave travel, and the timing of peaks that occur at the actual muzzle tip... but it is an effect that I haven't been able to figure out how to account for. I also think (but have not proved) that a brake will cause some distortion and/or dampening of the wave due to its irregular surface (holes and gaps around the the circumference of the brake).
OP did you develop this all on your own, or is/are there others to whom credit is due.
'Way back in my Navy days they had just come up with a time domain reflectometry ("TDR") device that could measure how far down a cable or waveguide a break or short was, so you could identify and repair it. I got to use it for some troubleshooting of our nuclear instrumentation, since the cables went all over creation in our ship... and we were having some cable issues.
This longitudinal wave theory of the rifle barrel is the same thing, only its waves go at the speed of sound in steel (roughly 18,000 fps), while in my TDR case back then, they went at speed of light (well, close to it).
OP did you develop this all on your own, or is/are there others to whom credit is due.
'Way back in my Navy days they had just come up with a time domain reflectometry ("TDR") device that could measure how far down a cable or waveguide a break or short was, so you could identify and repair it. I got to use it for some troubleshooting of our nuclear instrumentation, since the cables went all over creation in our ship... and we were having some cable issues.
This longitudinal wave theory of the rifle barrel is the same thing, only its waves go at the speed of sound in steel (roughly 18,000 fps), while in my TDR case back then, they went at speed of light (well, close to it).