Sound propagation through sonic crystals has been widely studied through predictions and laboratory experiments, because of its potential applications in many areas such as environmental noise barriers and sound cloaking. In this paper, a finite-difference time-domain (FDTD) numerical simulation coupled with the immersed boundary method is used to investigate the transmission properties of sonic crystals. The sonic crystals in this study are modeled as arrays of cylinders with their axes parallel to a ground boundary. Compared with semi-analytical solutions, the numerical scheme is validated with cases of simple arrays of rigid cylinders. The locations of cylinders, different porous materials for cylinders, and the ground effect are taken into account in our simulation. The results are presented with discussions on achieving optimized sonic crystals.

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