We study the elastic wave propagation in phononic-crystal strip waveguides cut from a silicon phononic-crystal plate with square-lattice vacuum holes through analyzing the band structure and transmission spectra. We show the influence of different cutting ways is crucial to the band-gap formation, and four types of native strip modes are deserved to be fully taken into account. The results show that though there is no band gap existing in the phononic-crystal plates with a low filling fraction, band gaps are created in their corresponding cut strip waveguide because the derivative traction-free boundaries strongly modulate the shear-horizontal bands.
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Hsu et al. (2010) studied this question.
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