Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method

The super-cell plane wave expansion method is employed tocalculate band structures for the design of a silicon-basedone-dimensional phononic crystal plate with large absolute forbiddenbands. In this method, a low impedance medium is introduced toreplace the free stress boundary, which largely reduces thecomputational complexity. The dependence of band gaps on structuralparameters is investigated in detail. To prove the validity of thesuper-cell plane wave expansion, the transmitted power spectra of theLamb wave are calculated by using a finite element method. With thedetailed computation, the band-gap of a one-dimensional plate can bedesigned as required with appropriate structural parameters, whichprovides a guide to the fabrication of a Lamb wave phononic crystal.