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 Jun Lai 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.

The seminar is free and open to all. Seating is on a first come, first served basis.

HKUST Jockey Club Institute for Advanced Study
Enquiries: ias@ust.hk / 2358 5912
http://ias.ust.hk