In this talk, we will focus on the development of fast computational electromagnetics algorithms for solving Maxwell’s equations from sub-wavelength dimension to dimension of hundreds of wavelengths. When fast algorithms are applied directly to solve integral equations to simulate objects that are very small compared to wavelength, both the fast algorithms and the integral equations often break down. We will describe ways to stabilize these algorithms and integral equations in this arena. Applications to small antennas, microinductors and cross-talks in computer chip will be illustrated.
When these algorithms are applied to solve inordinately large problems for scattering, they require a large number of unknowns, and hence, require a large amount of computer time and memory. We will discuss ways to overcome these bottlenecks when solving for the solution of a scatterer involving hundreds of wavelengths from the first-principles-based numerical methods. The use of parallel algorithms will be described, together with applications to radar cross section calculations of aircraft, EMC problems, and simulations of antennas on automobiles will be shown.
Weng Cho Chew received his Ph.D. in electrical engineering from MIT in 1980. From 1981 to 1985, he was with Schlumberger-Doll Research in Connecticut, and since that time he has been at the University of Illinois, where he is a Founder Professor of the College of Engineering and the director of the Center for Computational Electromagnetics and the Electromagnetics Laboratory. He currently teaches graduate courses in Waves and Fields in Inhomogeneous Media, and Theory of Microwave and Optical Waveguides and supervises a graduate research program. He is the winner of the year 2000 IEEE Graduate Teaching Award, and his name is frequently in the List of Excellent Instructors at UI. His recent research interests are in the area of wave propagation, scattering, inverse scattering, and fast algorithms related to scattering, inhomogeneous media for geophysical subsurface sensing and nondestructive testing applications. He has authored a book Waves and Fields in Inhomogeneous Media, published over 200 scientific journal articles and presented over 270 conference papers. Dr. Chew is a member of Eta Kappa Nu, Tau Beta Pi, URSI Commissions B and F, and an active member with the Society of Exploration Geophysics. He is an IEEE Fellow and was an NSF Presidential Young Investigator for 1986. He is currently an associate editor of the IEEE Transactions of Geoscience and Remote Sensing, Journal of Electromagnetic Waves and Applications, and Microwave Optical Technology Letters.