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Bloch boundary condition in 2D phononic crystal

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Hi everyone,

I am trying to model a 2D phononic crystal in COMSOL. It is essentially a square with a hole at its center. Does anyone know how to set the Bloch boundary condition for the elastic PDE?

Here is the condition:

u(x)=u(x+R)exp(ik.R) or
usrc=udest*exp(ik.R).

where R is the lattice displacement vector.

Note that the normal PBC accessible from COMSOL does not have the phase factor.

Your help would be greatly appreciated.

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