[MikeK]

He He, now I'm loving it too. I used to make engineering students pee their pants by chalking "Fourier" on the board. Applied to physical materials harmonic analysis problems, you'll need to decide what transforms are applicable. I vote for using eigenfunctions as delineators. LINK

Sometimes in engineering you hit the theoretical wall, and just need to do hard physical operational testing if you want answers. In lieu of setting it all up on a test stand (or cleaning up all the puke after the above lecture) I offer the following alternative calculator. I believe this will give the answers Brent seeks.