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Efficient and Accurate Time Domain Integral Equation Solvers and Their Applications in Electromagnetics and Optics by Prof. Hakan Bagci (KAUST)

  • Class schedule:  Sunday Nov. 9th,  2014, 12:00pm - 13:00pm 
  • Location: Building 9, Room 2322
  • Refreshments: Pizza and soft drinks will be available @ 11:45 am​

The research field of computational electromagnetics enables accurate, efficient, and robust numerical modeling and characterization of real-life electromagnetic, optical, and photonic systems. This is a challenging task because these systems are electrically large, frequency of operation has a wide dynamic range, devices are geometrically intricate with dimensions varying by orders of magnitude, and design frameworks require many repetitions of simulations with different parameters. These characteristics translate into large matrix systems, multi-scale discretizations, and ill-conditioned equations followed by prohibitively long executions times. In this presentation, I will talk about time domain integral equation (TDIE) solvers that have been formulated and implemented in my research group at KAUST to address these computational challenges. More specifically, I will describe (i) an explicit marching-on-in-time (MOT) scheme for solving the TDIEs, which avoids inversion of dense matrices for increased efficiency, (ii) an MOT-TDIE solver for simulating high-contrast scatterers, which makes use of a carefully designed extrapolation scheme for increased stability, and (iii) hybridization scheme that combines a TDIE solver and a discontinuous Galerkin scheme for efficient simulation of disconnected scatterers. I will also present numerical results, which demonstrate that these methods indeed provide accurate and stable results with increased efficiency. 

Hakan Bagci is an Assistant Professor in the Division of Computer, Electrical, and Mathematical Sciences and Engineering. Previously, from 2007 to 2009, he worked as a Research Fellow at the Radiation Laboratory, University of Michigan, Ann Arbor, US. He earned his master’s and doctoral degrees in Electrical and Computer Engineering from the University of Illinois, Urbana-Champaign, USA, in 2003 and 2007, respectively. He received his bachelor’s degree in Electrical and Electronics Engineering from the Bilkent University, Ankara, Turkey in 2001. His research interests are in the field of theoretical and applied computational electromagnetics. He focuses on developing acceleration engines, preconditioning techniques, and hybridization methods, which render time and frequency domain integral equation solvers applicable to the analysis of electrically large and multi-scale real-world problems. Hakan Bagci is the recipient of the 2008 International Union of Radio Scientists (URSI) Young Scientist Award and the 2004–2005 Interdisciplinary Graduate Fellowship from the Computational Science and Engineering Department at the University of Illinois, Urbana-Champaign. His paper titled “Fast and rigorous analysis of EMC/EMI phenomena on electrically large and complex structures loaded with coaxial cables” was one of the three finalists (with honorable mention) for the 2008 Richard B. Schulz Best Transactions Paper Award given by the IEEE Electromagnetic Compatibility Society. He authored and co-authored five finalist papers in the student paper competitions at the 2005, 2008, and 2010 IEEE Antennas and Propagation Society International Symposiums and 2013 Applied Computational Electromagnetics Society Conference. He has been recently elevated to the grade of IEEE Senior member.