An efficient numerical method is developed to calculate the transmission coefficient of the phononic crystals. By this method, the transmission properties of a two-dimensional phononic crystals constructed by the rectangle elastic isotropic lead rods embedded in uniform epoxy is investigated as an example. The transmission spectrum of the system is in excellent agreement with the band structure for the incident waves including both longitudinal and transverse polarized waves, The transmission spectra of the in-plane oblique incident waves are also calculated and discussed.

• Received 20 November 2003

DOI:https://doi.org/10.1103/PhysRevB.70.014304