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Graduate Exam Abstract


Sanja Manic

Ph.D. Final
October 14, 2019, 1:00 pm - 3:00 pm
A203, engineering building
ELECTROMAGNETIC MODEL SUBDIVISION AND ITERATIVE SOLVERS FOR SURFACE AND VOLUME DOUBLE HIGHER ORDER NUMERICAL METHODS AND APPLICATIONS

Abstract: Higher order methods have been
established in the numerical analysis
of electromagnetic structures
decreasing the number of unknowns
compared to the low order
discretization. In order to decrease
memory requirements even further,
model subdivision in the
computational analysis of electrically
large structures has been used. The
technique is based on clustering
elements and solving subsystems
separately, and it is often implemented
in conjunction with iterative solvers.
This thesis addresses unique
theoretical and implementation details
specific to model subdivision of the
structures discretized by the Double
Higher Order (DHO) elements
analyzed by i) Finite Element Method -
Mode Matching (FEM-MM) technique
for closed-region (waveguide)
structures and ii) Surface Integral
Equation Method of Moments (SIE-
MoM) in combination with (Multi-Level)
Fast Multipole Method for open-region
bodies. Besides standard application
in decreasing the model size, DHO
FEM-MM is applied to modeling
communication system in tunnels by
means of Standard Impedance
Boundary Condition (SIBC), and
excellent agreement is achieved with
measurements performed in Massif
Tunnel. To increase accuracy of the
SIE-MoM computation, novel method
for numerical evaluation of the 2-D
surface integrals in MoM matrix entries
has been developed. To demonstrate
its efficiency and practicality, SIE-MoM
technique was applied to analysis of
the rain event containing significant
percentage of the oscillating drops
recorded by 2D video disdrometer. An
excellent agreement with previously-
obtained radar measurements has
been established.


Adviser: Branislav Notaros
Co-Adviser: N/A
Non-ECE Member: Iuliana Oprea
Member 3: Steven Reising
Addional Members: V. Chandrasekar, Milan Ilić

Publications:
Notaroš B.M., R. McCullough, S.B. Manić, A.A. Maciejewski, 2019: Computer-assisted learning of electromagnetics through MATLAB programming of electromagnetic fields in the creativity thread of an integrated approach to electrical engineering education, Computer Applications in Engineering Education, 27, 271-287.

Manić, S.B., M. Thurai, V.N. Bringi, and B.M. Notaroš, 2018: Scattering Calculations for Asymmetric Raindrops during a Line Convection Event: Comparison with Radar Measurements, J. Atmos. Oceanic Technol., 35, 1169–1180

Manić, S.B., and B.M. Notaroš, 2018: Surface Integral Computation for the Higher Order Surface Integral Equation Method of Moments, In 2018 ACES Conference, Denver, CO. (2nd prize in student competition)

Thurai, M., S. Manić, M. Schönhuber, V.N. Bringi, and B.M. Notaroš, 2017: Scattering Calculations at C-Band for Asymmetric Raindrops Reconstructed from 2D Video Disdrometer Measurements. J. Atmos. Oceanic Technol., 34, 765–776.

Smull, A.P., A.B. Manić, S.B. Manić and B.M. Notaroš, 2017: Anisotropic Locally Conformal Perfectly Matched Layer for Higher Order Curvilinear Finite-Element Modeling, IEEE Trans. Antennas Propag., 65, 7157-7165.

Notaroš, B.M., R. McCullough, S.B. Manić, and A.A. Maciejewski, 2017: Board# 51: WIP: Introducing MATLAB-based Instruction and Learning in the Creativity Thread of a Novel Integrated Approach to ECE Education. In 2017 ASEE Annual Conference & Exposition.

Manić, S.B., B.M. Notaroš, and M.M. Ilić, 2014: p-Refinement for large-domain waveguide structures analyzed by FEM-MM technique, 2014 IEEE Antennas and Propagation Society International Symposium (APSURSI), Memphis, TN, 2252-2253.

Manić, A.B., S.B. Manić, M.M. Ilić, and B.M. Notaroš, 2012: Large anisotropic inhomogeneous higher order hierarchical generalized hexahedral finite elements for 3-D electromagnetic modeling of scattering and waveguide structures, Microw. Opt. Technol. Lett., 54, 1644-1649.

Klopf, E.M., S.B. Manić, M.M. Ilić, and B.M. Notaroš, 2011: Efficient time - domain analysis of waveguide discontinuities using higher order FEM in frequency domain. Progress In Electromagnetics Research, 120, 215-234.


Program of Study:
ECE 641 Electromagnetics
ECE 548 Microwave Theory and Component Design
ECE 512 Digital Signal Processing
ECE 642 Time Harmonic Electromagnetics
MATH 550 Difference Methods-Partial Differential Equations
ECE 540 Computational Electromagnetics
ECE 536 RF Integrated Circuit Design
MATH 652 Advanced Numerical Methods for PDEs