A model is presented that relates how electromagnetically induced pressure waves propagate and grow in response to a steady-state electromagnetic excitation. A normal modes-type solution is used to help account for noncompliant surfaces that bound the layer. In total, three types of wave-like behavior are found: both steady-state and transient acoustic waves and a dispersive wave due to the diffusive nature of the magnetic field. Formulas are presented for the amplitude and phase of each type of wave. The usefulness of these findings for describing acoustic effects in induction systems is discussed.