报告题目: Extension of the Debye-Lorenz-Mie Formalism for Electromagnetic Scattering to the Time Domain

报告人：Prof.Shidong Jiang（蒋世东）NJIT,USA

时间：2013年6月27日（星期四）10：30～11：30

地点：理科楼数学系A404

摘要：The explicit solution to the scattering problem of time dependent Maxwellequations on a sphere is derived. The derivation of the explicit solution isbased on a generalization of Debye potentials for the time harmonic case andreduces the problem to two scalar wave problems - one with the Dirichletcondition and the other with the Robin condition. A high-order and stablenumerical scheme is constructed to evaluate the solution at an arbitrary pointr outside the unit sphere at any time t > 0, without marching in the wholespace-time domain. Several numerical examples are presented to illustrate

the performance of the algorithm. The solution can be served as a referencefor checking the accuracy of other numerical methods. More importantly,it will provide some insight towards better integral equation formulationsfor the wave equation and time-dependent Maxwell equations in a generaldomain.This is joint work with Leslie Greengard at Courant Institute of New York University and Thomas Hagstrom at Southern Methodist University.

报告人简介：蒋世东博士于1994年从上海交大本科毕业，2001年在美国纽约大学克朗研究所获得博士学位，2001～2004年在耶鲁大学做博士后研究，2004年至今在新泽西理工学院（NJIT）工作。其主要研究领域包括积分方程，快速算法，数值分析和科学计算等。

联系人：黄忠亿