Multi-Domain PDE (Helmholtz Equation)

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I am studying the acoustics in solid barriers to minimize sound propagation in them. I was able to solve Helmholtz equation where the barrier is a homogeneous 3D solid plate.

The Question is: I want to solve the Helmholtz equation in a multi-layered plate where every layer is different in terms of several physical characteristics. I cant find quite a good source to help me do so. Any help please or perhaps directions

PS: I am using MATLAB(TM) to solve the equations numerically.