Abstract
The complex band structure of a two-dimensional (2D) phononic crystal based on solid or air cylindrical inclusions in solid finite thickness plate is investigated. The plane wave expansion method is developed with a specific extension to calculate the evanescent Bloch modes propagating in the phononic plate. It is shown that, in the opposite of 2D infinite phononic crystals, the complex band structures of Lamb modes exhibits a coupling between in-plane and out-of plane Lamb modes. The polarization and the behavior of the evanescent waves is analyzed and discussed as function of the plate thickness to figure out the physics behind the opening of phononic band gap for the different Lamb modes.
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