论文标题
使用Riesz投影计算本征频率敏感性，以有效优化纳米光子谐振器
Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators
论文作者
论文摘要
共振在物理学上无处不在，对于波浪现象的描述至关重要。我们提出了一种计算共鸣征性敏感性的方法。该理论基于Riesz的投影，该方法可以应用于计算任何共鸣问题复杂特征频率的部分衍生物。在这里，该方法是为麦克斯韦方程式得出的。它的数值实现基本上依赖于散射问题的直接分化。与使用有限差异相比，我们使用数值实现来证明该方法的性能。该方法用于有效优化纳米光子谐振器的质量因子。
Resonances are omnipresent in physics and essential for the description of wave phenomena. We present an approach for computing eigenfrequency sensitivities of resonances. The theory is based on Riesz projections and the approach can be applied to compute partial derivatives of the complex eigenfrequencies of any resonance problem. Here, the method is derived for Maxwell's equations. Its numerical realization essentially relies on direct differentiation of scattering problems. We use a numerical implementation to demonstrate the performance of the approach compared to differentiation using finite differences. The method is applied for the efficient optimization of the quality factor of a nanophotonic resonator.
