Graduate Exam Abstract

Eve Klopf

Ph.D. Final
September 9, 2011, 3pm
Optimal Higher Order Modeling Methodology Based on Method of Moments and Finite Element Method for Electromagnetics

Abstract: General guidelines and quantitative recipes for adoptions of optimal higher order parameters for computational electromagnetics (CEM) modeling using the method of moments and the finite element method are established and validated, based on an exhaustive series of numerical experiments and comprehensive case studies on higher order hierarchical CEM models of metallic and dielectric scatterers. The modeling parameters considered are: electrical dimensions of elements (subdivisions) in the model (h-refinement), polynomial orders of basis and testing functions (p-refinement), orders of Gauss-Legendre integration formulas (numbers of integration points – integration accuracy), and geometrical orders of elements (orders of Lagrange-type curvature) in the model. The goal of the study, which is the first such study of higher order parameters in CEM, is to reduce the dilemmas and uncertainties associated with the great modeling flexibility of higher order elements, basis and testing functions, and integration procedures (this flexibility is the principal advantage but also the greatest shortcoming of the higher order CEM), and to ease and facilitate the decisions to be made on how to actually use them, by both CEM developers and practitioners. The ultimate goal is to close the large gap between the rising academic interest in higher order CEM, which evidently shows great numerical potential, and its actual usefulness and use in electromagnetics research and engineering applications.

Adviser: Dr. Branislav Notaros
Co-Adviser: N/A
Non-ECE Member: Dr. Iuliana Oprea, Mathematics
Member 3: Dr. V. Chandrasekar, Electrical & Computer Engineering
Addional Members: Dr. S. C. Reising, Electrical & Computer Engineering

E. M. Klopf, S. B. Mani?, M. M. Ili?, and B. M. Notaros, "Efficient Time-Domain Analysis of Waveguide Discontinuities Using Higher Order FEM in Frequency Domain", Revised version submitted to Progress in Electromagnetics Research, 2011. E. M. Klopf, N. J. Sekelji?, M. M. Ili?, and B. M. Notaros, "Optimal Modeling Parameters for Higher Order MoM-SIE and FEM-MoM Electromagnetic Simulations", Under review for IEEE Transactions on Antennas and Propagation, 2011. E. M. Klopf, N. J. Sekelji?, M. M. Ili?, and B. M. Notaros, "Investigations of optimal geometrical and field/current modeling parameters for higher order FEM, MoM, and hybrid CEM techniques," Proc. 2011 USNC-URSI National Radio Science Meeting, January 5-8, 2011, Boulder, Colorado. E. M. Klopf, F. Iturbide-Sanchez and S. C. Reising, "Design and Performance of a Miniaturized Cloud Liquid Water Radiometer to Augment a Miniaturized Water Vapor Profiling Radiometer," Proc. 2005 USNC-URSI National Radio Science Meeting, January 5-8, 2005, Boulder, Colorado.

Program of Study:
ECE 641
ECE 642
ECE 695
MATH 561
MATH 652
MATH 676
ECE 799