Acoustic pressure in cavity of variously sized two-dimensional sonic crystals with various filling fractions

This study theoretically and experimentally investigates the acoustic pressure in the cavity of a 2D sonic crystal. Such crystals are composed of polymethyl methacrylate cylinders with a square array embedded in air background. The plane wave expansion method and the supercell calculation are employed to calculate the band structure and obtain the defect band. The finite element method is adopted to simulate the pressure field in the sonic crystal and calculate the pressure in the middle of the cavity as a function of frequency. The effects of sizes and filling fractions are investigated, and the quality factor of the cavity is discussed. The measured spectra and pressures in the defect of the sonic crystal demonstrate that the acoustic waves can be localized in the defect at the resonant frequency.