时间：2019.6.13 13：30―15：40

地点：欧阳楼316

报告1

题目：Sensitivity Analysis for Photonic Crystal Devices

报告人：胡真 （河海大学数学系）

时间：13：30-14:30

摘要：Photonic crystals (PhCs) are new kinds of artificial periodic materials with a period on the wavelength scale. Due to their unusual ability to control and manipulate light, PhCs have been widely used to design various photonic crystal devices. Sensitivity analysis provides valuable information about fabrication tolerance for PhC devices. It is also very useful in the optimal design process. In this talk, we will introduce an efficient method for sensitivity analysis of PhC devices in idealized 2D PhCs with circular cylinders. Our method takes advantage of the identical unit cells and the analytic solutions for circular cylindrical structures, and can be used to solve problems in very small truncated domains. In particular, our method is capable of rapidly computing the partial derivatives with respect to the parameters of many different unit cells.

报告2

题目: Nonlinear Diffraction Problems Based on Bound States in the Continuum

报告人：袁利军（重庆工商大学）

时间：14：40―15：40

摘要: Bound states in the continuum (BICs) are localized or trapped modes with frequencies in the frequency interval where out-going radiation modes exist. The BICs are related to the non-uniqueness of corresponding boundary value problems. Based on BICs, it is possible to induce strong nonlinear phenomenons by weak incident waves. Nonlinear boundary value problems based on BICs are ill-conditioned when incident waves are weak. In numerical computations of these nonlinear problems, conventional iterative methods, such as Newton's method, have difficult to converge. In this talk, a perturbation analysis is developed for the solution of a nonlinear problem, and an efficient iterative method is introduced based on the perturbation analysis.

联系人：鲁汪涛（wangtaolu@zju.edu.cn）