数值求解光波导模式的方法,矢量元方法应用比较普遍,能够消除伪模,但由于矢量元的构造和求解过程比较烦琐,而用传统的节点有限元方法求解全矢量波动方程时,在得到物理模式的同时,也出现了伪模.本文在传统的罚项节点有限元方法的启发下,从麦克斯韦方程组本身的物理意义出发,导出了伪模的产生源,并对传统的罚项做了改正,大大提高了数值解的质量;尽管没有彻底消除伪模,它相对于矢量元方法优越的地方,体现在解(本征值)的精度,模场的特性,和高的数值稳定性等方面.
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