Лисенков И.В., Попов Р.С. «Исследование распространения yпругиx волн в фононном кристалле» Нелинейный мир, 5, № 5, с. 335-336 (2007)

The theory of elastic waves propagation in phononic crystal is developed. Two mathematic methods are considered, namely, the multipole propagation method and Bloch–Floquet method. Dispersion dependencies and band structure for both models are calculated and analyzed. Mathematical approach for modeling of a real phononic crystal is proposed.