Application of the Principle of the Analytic Continuation in Computational Electromagnetics

Prof. Tapan K. Sarkar, ECE Dept., Syracuse University
Time: 7:00 PM, Monday, September 12th, 2005. (Dinner begins at 6:30 PM)
Place: Room 202, ECE Center, New Jersey Institute of Technology, Newark NJ.

Abstract

The objective of this presentation is to illustrate that in computational electromagnetics we invariably apply the principle of analytic continuation even though we are often not conscious of it. Just to recapitulate as to how to solve the Maxwell’s equation in the frequency domain which is popularly known as the solution of boundary value problems. It is important to recognize that in the solution of boundary value problems we get the solution over the boundary at a particular location in space and then we analytically continue the solution to infinity – namely obtain the radiation fields! This is quite significant even though consciously we do identify the solution of boundary value problem in such a fashion. Having said so, we want to point out that we have not advanced that methodology to analytically continue the solution for other parameters of interest like frequency, time and so on. This presentation will illustrate that it is possible to extend the concepts to a wide variety of applications, which can significantly minimize the computational and measurement times and can even provide insights into the actual physical process. We illustrate the mathematical principles by applying this concept to a number of applications.

As a first example we illustrate how to apply this methodology for obtaining a high resolution solution and go beyond the Rayleigh Resolution. In conventional antenna analysis, the width of the main lobe and hence the resolution of targets is fundamentally limited in the classical way of reasoning by the size of the aperture. However, by applying a model based parameter estimation methodology it is possible to go beyond this limit. Example will be presented to illustrate how the bandlimited measurement in a Network Analyzer can be used to improve the results. This will also illustrate how to accurately deembed and characterize discontinuities in microwave circuits. In addition, time domain calculations can be speeded up using this model based parameter estimation procedure.  Finally, it will be shown how a pole-zero model can accurately extrapolate various responses beyond the available data.


Biography

Tapan K. Sarkar received the B.Tech. degree from the Indian Institute of Technology, Kharagpur, in 1969, the M.Sc.E. degree from the University of New Brunswick, Fredericton, NB, Canada, in 1071, and the M.S. and Ph.D. degrees from Syracuse University, Syracuse, NY, in 1975.

From 1975 to 1976, he was with the TACO Division of the General Instruments Corporation. He was with the Rochester Institute of Technology, Rochester, NY, from 1976 to 1985. He was a Research Fellow at the Gordon McKay Laboratory, Harvard University, Cambridge, MA, from 1977 to 1978. He is now a Professor in the Department of Electrical and Computer Engineering, Syracuse University. His current research interests deal with numerical solutions of operator equations arising in electromagnetics and signal processing with application to system design.  He obtained one of the “best solution” awards in May 1977 at the Rome Air Development Center (RADC) Spectral Estimation Workshop. He has authored or coauthored more than 280 journal articles and numerous conference papers and 32 chapters in books and fifteen books, including his most recent ones, Iterative and Self Adaptive Finite-Elements in Electromagnetic Modeling (Boston, MA: Artech House, 1998), Wavelet Applications in Electromagnetics and Signal Processing (Boston, MA: Artech House, 2002) and Smart Antennas (John Wiley & Sons, 2003).

Dr. Sarkar is a Registered Professional Engineer in the State of New York. He received the Best Paper Award of the IEEE Transactions on Electromagnetic Compatibility in 1979 and in the 1997 National Radar Conference. He received the College of Engineering Research Award in 1996 and the Chancellor’s Citation for Excellence in Research in 1998 at Syracuse University. He was an Associate Editor for feature articles of the IEEE Antennas and Propagation Society Newsletter (1986-1988). He was the Chairman of the Inter0commission Working Group of International USI on Time Domain Metrology (1990-1996). He was a distinguished lecturer for the Antennas and Propagation Society from 2000-2003. He is currently a member of the IEEE Electromagnetics Award board and an associate editor for the IEEE Transactions on Antennas and Propagation. He is the vice president of the Applied Computational Electromagnetics Society (ACES) and the technical chair for the combined IEEE 2005 Wireless Conference along with ACES to be held in Hawaii. He is on the editorial board of Journal of Electromagnetic Waves and Applications and Microwave and Optical Technology Letters. He is a member of Sigma Xi and International Union of Radio Science Commissions A and B.

He received Decteur Honoris Causa both from Universite Blaise Pascal, Clermont Ferrand, France in 1998 and from Politechnic University of Madrid, Madrid, Spain in 2004. He received the medal of the friend of the city of Clermont Farrand, France, in 2000.