Mores J A, Malheiros-Silveira G N, Fragnito H L, Hernández-Figueroa H E
Departamento de Microonda e Óptica, Faculdade de Engenharia Elétrica e de Computação, UNICAMP, Campinas, SP, Brazil.
Opt Express. 2010 Sep 13;18(19):19522-31. doi: 10.1364/OE.18.019522.
An efficient numerical strategy to compute the higher-order dispersion parameters of optical waveguides is presented. For the first time to our knowledge, a systematic study of the errors involved in the higher-order dispersions' numerical calculation process is made, showing that the present strategy can accurately model those parameters. Such strategy combines a full-vectorial finite element modal solver and a proper finite difference differentiation algorithm. Its performance has been carefully assessed through the analysis of several key geometries. In addition, the optimization of those higher-order dispersion parameters can also be carried out by coupling to the present scheme a genetic algorithm, as shown here through the design of a photonic crystal fiber suitable for parametric amplification applications.
提出了一种计算光波导高阶色散参数的有效数值策略。据我们所知，首次对高阶色散数值计算过程中涉及的误差进行了系统研究，结果表明该策略能够准确地对这些参数进行建模。该策略结合了全矢量有限元模态求解器和适当的有限差分离算法。通过对几种关键几何结构的分析，仔细评估了其性能。此外，通过将遗传算法与本方案相结合，还可以对这些高阶色散参数进行优化，本文通过设计一种适用于参量放大应用的光子晶体光纤对此进行了说明。
