Fast Algorithms for Multi‐particle Scattering and Its Inverse Problem

Abstract

Electromagnetic scattering of multiple particles appears in a lot of applications, including biophysics and solar cell design. For instance, given the property of a single particle, it is often desired to obtain a composite material with a given electromagnetic response. Fast algorithm is needed to solve such an optimization problem. In this talk, the speaker will talk about the numerical algorithms based on integral equations that rapidly find the scattering of multiple particles in layered medium and periodic medium. The algorithm combines several numerical techniques, including fast multipole method, non‐uniform fast Fourier transform and generalized Gaussian quadrature. The time to evaluate the scattering of thousands of particles can be reduced to seconds. The speaker will also discuss some recent works on the inverse scattering problem for multiple particles.

About the speaker

Prof. Lai Jun received his PhD in Applied Mathematics from Michigan State University in 2013. He then became a postdoc in Courant Institute of Mathematical Sciences at New York University during 2013-2014 and later a Courant Instructor during 2014-2016. In 2016, he enrolled in the “Thousand Talents Program” offered by the Chinese Government and joined the Department of Mathematics of Zhejiang University as an Assistant Professor.

Prof Lai’s research interests include numerical algorithms for integral equations, high wave number scattering problems, fast direct solver and numerical optimization.

About the program

For more information, please refer to the program website at http://iasprogram.ust.hk/inverseproblems.