ELEE Research Component of PhD Qualifier Exam by Temegni Ulrich Bertaud
Topic: Spectral Projection Model for Electromagnetic Scattering from Conducting Objects
Abstract: Electromagnetic analysis for many years has depended on both analytical and numerical methods. Analytical methods could provide accurate solutions, but they could only be used for basic shapes like circular cylinders and spheres. As electromagnetics became more demanding, there have been situations with shapes that are irregular and asymmetrical, where analytical techniques are not easily applicable. For this reason, numerical techniques such as the Method of Moments (MoM) have become widely used, although they can be computationally expensive, especially for large-scale problems. The objective of this study was to test the validity of the alternative techniques developed at UMassD known as the Spectral Projection Model (SPM) by systematically comparing its results with those obtained using the Method of Moments (MoM) when applied to scattering form circular and elliptical cylinders. The MoM technique is used to solve integral equations by discretizing them and converting it into a system of linear equations. The key idea behind SPM is to exploit the addition theorem of Hankel functions, which allows Green’s function to be decomposed into a series of angular modes. Each mode represents a global wave pattern that wraps around the object. Rather than computing interactions between individual surface elements, the problem is reformulated in terms of determining the amplitude of each angular mode. Both methods were implemented and tested under identical conditions, and their results were analyzed in terms of accuracy, convergence, and computational efficiency. The SPM produced good agreement with Method of Moments techniques. This work aims to determine whether SPM can serve as a reliable and efficient alternative to conventional numerical methods in the analysis of electromagnetic scattering.
Advisor(s): Dr. Dayalan P. Kasilingam, Professor, Dept. of Electrical & Computer Engineering, UMASS Dartmouth
Committee Members: Dr. David A. Brown, Professor, Dept. of Electrical & Computer Engineering, UMASS Dartmouth; Dr. Paul J. Gendron, Professor, Dept. of Electrical & Computer Engineering, UMASS Dartmouth
NOTE: All ECE Graduate Students are ENCOURAGED to attend. All interested parties are invited to attend. Open to the public.
*For further information, please contact Dr. Dayalan Kasilingam via email at dkasilingam@umassd.edu.
Lester W. Cory Conference Room, Science & Engineering Building (SENG), Room 213A
Dayalan P. Kasilinagm
(508) 999-8534
dkasilingam@umassd.edu