Calc. Acoustic Res from Wavelength

May 17, 2011 5 Replies

Can anyone please tell me step-by-step how to calculate the acoustic resonance of an object in Hertz if I know its dominant wavelength in microns?



As an example, let's say 1 micron.



Paul Kent


Can you divide? Use large powers of ten?

For simplicity, let's just say its two dimensional = velocity of sound in air.

Paul kent

Look under "Resonators" at: http://en.wikipedia.org/wiki/Resonance#Mechanical_and_acoustic_resonance

Apply the boundary conditions and solve the wave equation. You might start with a one dimensional tube. (Sine and Cosine solutions) That's pretty easy. It matters if the ends are open or closed.

Two dimensions can be a pain... usually you'll have Bessel functions or some other thing. If you want to do a spherical cavity, then things get easier. The solution is in terms of Spherical Harmonics.

George H.

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