A treatment of a rectangular acoustic waveguide using separation of variables, with simulations of some of the higher order spatial modes.
(updated 28/2/22)
0:00 Introduction
4:23 The maths! Solving the wave equation in a waveguide with boundary conditions
12:40 Interpreting the solution and videos of the mode shapes
16:04 Dispersion of the modes
19:44 Plotting the dispersion relation of the modes
20:41 Some intuition using plane waves zig-zagging in the waveguide
27:13 Which modes are launched? Decomposing the input into the modes.
22:00 Summary
