Band Structure and Phonon Transport in a Phononic Crystal Made of a Periodic Array of Dots on a Membrane
Using the finite difference time domain method, we investigate theoretically the band structure and phonon transport in a new type of phononic crystal constituted by a periodic array of cylindrical dots deposited on a homogeneous membrane. One new finding is the possibility of an absolute low frequency gap (as compared to the Bragg gap), similarly to the case of locally resonant structures. The existence of the low frequency gap requires very appropriate geometrical parameters, whereas it persists for various combinations of the materials constituting the plate and the dots. Besides, the band structure can exhibit one or more higher gaps when increasing the height of the cylinders. The results are discussed for different shapes of the cylinders such as circular, square or rotated square. The band structure can also display an isolated branch with a negative slope, useful for the purpose of negative refraction phenomena. We discuss the condition for wave guiding through different types of linear defects inside the phononic crystal. Finally, we investigate phonon transport between two substrates connected by a periodic array of particles and discuss different features appearing in the transmission spectrum.
KeywordsBand Structure Dispersion Curve Finite Difference Time Domain Periodic Array Phononic Crystal
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