基于边界元法的金属纳米粒子的模拟计算

The simulation of plasmonic nanoparticals based on boundary element method

边界元法是一种继有限元法后发展起来的一种新型数值算法,与有限元法对整个区域进行划分不同,其只需在区域边界进行划分,可使考虑问题的维数降低1维从而简化计算.用边界元法计算金属纳米球的散射截面和消光截面,计算表明,在离散节点增多时,此方法与解析解更接近,它们的谐振峰在节点数大于60后不再发生变化.

Boundary element method is a new kind numerical algorithm developed after the finite element method,it only needs to be divided along the region boundary.The calculation was simple through the reduced dimension.The scattering cross sections and the extinction cross sections were calculated by the boundary element method.The calculation results showed that the increased node made it closer to the analytical solution.The authors discovered that resonance peaks didn＇t change after sixty vertices.