Ideal Traveling-Wave Simulation

Acoustic Plane Waves in Air

• $x(n)$ = excess pressure at time $nT$ , at some fixed point ${\boldmath p}_x\in\mathbb{R}^3$ through which a plane wave passes
• $y(n)$ = excess pressure at time $nT$ , for a point ${\boldmath p}_y$ which is $McT$ meters ``downstream'' from ${\boldmath p}_x$ along the direction of travel for the plane wave, where
  • $T$ denotes the time sampling interval in seconds
  • $c$ denotes the speed of sound in meters per second
  • In one temporal sampling interval ($T$ seconds), sound travels one spatial sample ($X=cT$ meters)

Transverse Waves on a String

• $x(n)$ = displacement at time $nT$ , for some point on the string
• $y(n)$ = transverse displacement at a point $McT$ meters away on the string