群论在光子带隙计算中的应用

Applications of group theory to calculations of photonic band gap

介绍群论在光子晶体带隙平面波展开法计算中的应用 ,推导了改进后的算法公式 .通过计算实例的比较 ,显示了群论应用对算法内存需求空间及计算时间的减少 .

Group theory is introduced into the calculation of photonic band gap with the plane wave expansion method, and improved calculation formulae are derived. Both the analysis and the practical band gap calculation for an exemplary two-dimensional case have shown that, as compared with the conventional plane wave method, the group theory based improved algorithm can substantially release memory-space requirement and reduce computational time.