遗传算法在二维声子晶体带隙优化中的应用

Application of genetic algorithm in optimization of band gap of two-dimensional phononic crystals

运用自适应遗传算法对二维声子晶体的带隙宽度进行优化设计,并与平面波展开法相结合,研究了由正方形排列的铅-环氧树脂构成的声子晶体的带隙宽度优化问题,发现自适应遗传算法可以有效地搜索到具有较宽完全声子带隙的优化单胞形式.

A genetic algorithm （GA） with adaptive crossover and mutation probability is developed to design a two-dimensional phononic crystal of a square lattice with maximal absolute band gap. The composites of Pb cylinders in epoxy matrix are studied with GA method connection with plane-wave expansion approach. We find that GA method is effective to find out excellent topology of unit cell with a widest absolute band gap.