Acoustic Cavity Resonance

Mode (m, n) — select below or use sliders m (x-modes) 1 n (y-modes) 0 Cavity aspect ratio L_x/L_y 1.25 Sound speed c (m/s) 343 Animation speed 1.0

Frequency f_mn:—

Wavelength λ:—

Nodal lines x:—

Nodal lines y:—

A rectangular cavity of size L_x × L_y supports standing wave modes with pressure field:

p(x,y,t) = cos(mπx/L_x) cos(nπy/L_y) cos(2πf t)

Resonance frequencies: f_mn = (c/2)√[(m/L_x)²+(n/L_y)²]

Colors show pressure amplitude — blue=rarefaction, red=compression. White lines are nodal surfaces (zero pressure).