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Computational Science Seminar by Wei Cai
Friday, Mar 9
1 p.m. - 2 p.m. Location: SLC 1.202

Wei Cai

Mathematics, SMU

Stochastic Algorithms for Electromagnetic Problems of Nano-Structures

In this talk, we will present some stochastic algorithms and numerical results for solving electromagnetic problems in  nano-particles and random meta-materials.  Firstly, we will present a path integral Monte Carlo method for computing magnetic polarizability tensors of nano-particles of complex geometries for material sciences applications. The method relies on a Feynman-Kac formula involving reflecting Brown motions (RBMs) and accurate computation of the local time of the RBMs using a random walk-on-spheres technique. Secondly, in order to optimize functional properties of 3-D random meta-materials (MMs), we will present a stochastic representation scheme for random MMs with volume exclusion constrains and given correlations, a fast volume integral equation electromagnetic solver for the scattering of a large number of meta-atoms of typical geometric shapes (cubes, spheres, and ellipses) in layered media, and a procedure to optimize the optical properties of the MMs.

Contact Info:
John Zweck, 972-883-6699
Questions? Email me.

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