Robust High Order Integral Equation Solvers for Electromagnetic Scattering in Complex Geometries

In this talk, we describe a new class of solvers for the equations of electromagnetic scattering. The approach combines newly developed representations for the solutions of Maxwell's equations with high-order discretizations to obtain rapidly convergent algorithms. As a result, scattered fields can be evaluated to full machine precision via discretizations requiring very few nodes per wavelength. The schemes deal effectively with several vexing problems normally associated with electromagnetic simulations: "low-frequency breakdown", "spurious resonances", etc.

We will illustrate the approach with several numerical examples, and discuss generalizations and applications of the work.

Speaker Bio: Dr. Zydrunas Gimbutas received his MS degree in Mathematics from Vilnius University in 1993, and a PhD in Applied Mathematics from Yale University in 1999. From 1999 to 2001 he was a Research Associate at the Program in Applied and Computational Mathematics at Princeton, and from 2002 to 2007 worked as a Research Scientist at MadMax Optics in Hamden, CT. Since 2007, he has been a Senior Research Scientist at the Courant Institute in New York. His research interests include fast algorithms of applied analysis, computational acoustics and electromagnetics, quadratures for singular functions, and scientific computing.

Presentation Slides: PDF

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