[EDIT]: Updated to a later version of MATLAB (2019a), so code has been updated to suit. Also, see the follow up for time domain simulations! We’ve had a look at using finite element analysis to solve the wave equation in 2D geometries to find room modes and resonances (here), so the next step up is
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Lets put some theory to the test by finding the room resonances of simple (and maybe not so simple) 2D polygonal rooms using computational methods. I’ll explain the code, and provide a file for download as well. The Problem To find room resonances, we need to solve the Helmholtz Eigenvalue problem (see here for why)
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You are hopefully well aware of room modes and resonances. As the bane of home recording spaces, they have the ability to wreak havoc on small, untreated rooms. Physically, they are the result of standing waves, sound reflecting between surfaces in such a way that they reinforce themselves. They are based on the geometry of
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