Efficient Spectral and Spectral-Element Methods for Transformation Electromagnetics

Date
10/6/2017
Location
11:30AM at LWSN B134
Speaker
Dr. Zhiguo Yang, Purdue University
Title
Efficient Spectral and Spectral-Element Methods for Transformation Electromagnetics
Host
Description

In this talk, we present efficient spectral/spectral-element methods for acoustic and ectromagnetic wave scattering problems arisen from transformation electromagnetics (or optics). We advocate the use of Dirichlet-to-Neumann (DtN) transparent boundary conditions to reduce the unbounded problem to an equivalent boundary value problem. We provide semi-analytic techniques to seamlessly integrate global DtN boundary conditions with local spectral elements in both 2D and 3D by using special elemental transformations of curved elements. We also introduce a novel non-reflecting absorbing layer from the concept of inside-out (or inverse) invisibility cloak. We highlight the applications of the solvers for the simulations of electromagnetic cloaks.