数学科学系

Department of Mathematical Sciences

Extension of the Debye-Lorenz-Mie Formalism for Electromagnetic Scattering to the Time Domain

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2013627(星期四)10301130

 

地点:理科楼数学系A404

 

摘要:The explicit solution to the scattering problem of time dependent Maxwell equations on a sphere is derived. The derivation of the explicit solution is based on a generalization of Debye potentials for the time harmonic case and reduces the problem to two scalar wave problems - one with the Dirichlet condition and the other with the Robin condition. A high-order and stable numerical scheme is constructed to evaluate the solution at an arbitrary point r outside the unit sphere at any time t > 0, without marching in the whole space-time domain. Several numerical examples are presented to illustrate

the performance of the algorithm. The solution can be served as a reference for checking the accuracy of other numerical methods. More importantly, it will provide some insight towards better integral equation formulations for the wave equation and time-dependent Maxwell equations in a general domain.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,20012004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