Acoustic band gaps in two-dimensional rectangular arrays of liquid cylinders

In this paper, we present the acoustic band gap results for a new geometry of two-dimensional arrays of water (mercury) cylinders with circular cross-section in mercury (water) host, arranged in rectangular lattice. The results show that when the lattice constants ax=ay, which correspond to the square lattice, for the systems with either water cylinders in mercury or mercury cylinders in water, the widest range of filling fraction is achieved for the gap appearance. The filling fraction range shrinks as ax/ay increases. It also shows that wider gap can be obtained in rectangular system other than square system in some occasions.