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Effective parameter retrieval of phononic crystal slabs

Effective parameters (propagation constant and impedance) of finite slabs of 2D phononic crystals immersed in a fluid are extracted using two retrieval methods inspired from the study of electromagnetics. Difficulties in the homogenization are highlighted, coming from the presence of evanescent waves at the interfaces of the PC slabs. This is confirmed by the study of the field map inside the crystal.