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表面积分方程分析二次谐波等效方法研究
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摘要
本文提出一种新型的等效原理应用于表面积分方程方法分析任意形状贵金属纳米粒子产生的二次谐波问题。相较于传统的Love’s等效原理,本文所提出的等效原理使得分析相同问题时未知量数目减少一半;同时,二阶非线性极化源的处理也变得更简洁。数值结果表明,其在内存使用和计算时间上得到了较大的节省。本文方法的正确性通过与二次谐波的幂级数解析解进行对比。
This paper concentrates on the surface integral equation(SIE) based on boundary equivalence principle evaluating second-harmonic(SH) generation from noble metal nanoparticles with arbitrary shapes. By invoking the proposed principle, the number of unknows will reduce to half compared with the surface integral equation based on Love's equivalence principle with the same problem. Simultaneously, the source of second order nonlinear polarization treatment becomes more concise. Some numerical results show that the memory and computational time have been saved greatly. The method is validated by comparisons with the analytic SH-Mie solution to illustrate the accuracy.
引文
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