二维正方点阵固态声子晶体带隙研究

Band Gap Calculation for Two-Dimensional Solid Phononic Crystals with Square Lattices

声子晶体对声子晶体带结构的研究具有极大的理论和应用价值.介绍了用平面波展开法计算二维正方点阵的固态声子晶体带隙的方法,研究不同截面形状的散射物对晶体带隙的影响.当填充分数F<0.5时,圆形截面散射物体系比正方形截面及长方形截面的体系有利于带隙产生,而当F>0.5时,则正方形截面的体系更优越.

The study of phononic crystals band gap will not only give rise to a new interesting theory,but also open up variety of possible application.The plane wave expansion method is introduced to calculate the band gap for two-dimensional solid phononic crystals with square lattices.The effects of different shapes of the scatterers' section on band gaps are investigated.The calculated results show that when the scatterers' filling fraction F<0.5,the circular section is easier to attain large band gaps than the square section and rectangle one;while when F>0.5,the square section is more favorable for the appearance of the band gaps.