Waves & Opticsundergraduate

Acoustic Impedance

Also known as: Characteristic Acoustic Impedance · Specific Acoustic Impedance

Impedance measures how hard a medium pushes back when sound tries to move it: dense, stiff media (high rho, high c) resist more. When a wave meets a different impedance, part of it reflects — the bigger the mismatch, the more bounces back.

Z=ρcZ = \rho\,c
Live simulation
warming up the physics…

A pressure wave hits a boundary between two media; the reflected and transmitted amplitudes update live from the impedance mismatch R = ((Z2-Z1)/(Z2+Z1))^2.

Equivalent forms

Z=ρcZ = \rho c
R=(Z2Z1Z2+Z1)2R = \left(\frac{Z_2 - Z_1}{Z_2 + Z_1}\right)^2
Two bulk properties — density and sound speed — multiply into the one number that decides whether sound passes a boundary or bounces off it.