Thanks to the referenced source (Acoustical Society of America, Volume 114, No.6, Pt.1, Dec. 2003) we can visually discern the acoustic wave/shock wave effects at a few frequency/volume levels. It is interesting to me especially to see the TURBULENCE roiling out the bell of the trumpet at the given notes...One might expect the wavefronts would propagate cleanly from a trumpet, but that is apparently not entirely the case as shown here. I remember TM member Sethoflagos mentioning the dispersion of the internal wavefronts in a system by the radii differences in bends, and that made sense to me. What I wonder is...what can be done about it...save reverting to herald trumpets (and even then). I wonder if some sort of twisting or convolution on the inner arc of a bend might help contribute to the waveform remaining dense, but then that in itself would add monstrous complexity.
Anyway, I found these images very interesting. The pitch and volume are indicated in the title under each photo.
WAVE FRONTS AT FRONT OF TRUMPET Photos by gordonfurr1 | Photobucket