This document outlines the topics covered in the ECE 621 course on complex electromagnetic scattering and applications. The course covers fundamentals of electromagnetic wave scattering, modeling of wave propagation and scattering problems using analytical methods like Maxwell's equations and asymptotic techniques, as well as numerical methods like the finite difference time domain method, method of moments, and parabolic equation method. A significant portion of the course focuses on modeling wave scattering from wedge structures using high frequency asymptotic models and comparing the results to numerical models like FDTD and MoM. References are provided for additional reading.

1. ECE 621 Complex Electromagnetic Scattering and Application
Levent Sevgi
 Introduction to Electromagnetic(EM) Modeling and Simulation
 Fundamentals of EM Wave Scattering
o Maxwell Equations and Reduction
 Antenna and Radiation Problems
 Guided Wave Problems
 Wave Scattering Problems
o EM Wave – Material interaction
o Reflection, Refraction and Diffraction
 Propagation inside a Wedge Waveguide
o Analytical Mode Summation Model
 Normal Models
 Adiabatic Modes
 Intrinsic Modes
o Numerical Models
 Finite Difference Time-Domain (FDTD) Method
 Method of Moments (MoM) Approach
 Parabolic Equation (PE) Model
 Wedge Scattering
o Single-Side Illumination (SSI)
o Double-Side Illumination (DSI)
 Wedge Scattering and High Frequency Asymptotics
o Geometric Optic (GO) Solution
o Geometrical Theory of Diffraction (GTD) Model
o Uniform Theory of Diffraction (UTD) Model
o Physical Optics (PO) Model
o Physical Theory of Diffraction (PTD) Model
 Wedge Scattering and FDTD Model
o Total Fields: HFA vs. FDTD
o Diffracted Fields: HFA vs. FDTD
 Wedge Scattering and MoM Model
o Total Fields: HFA vs. MoM
o Diffracted Fields: HFA vs. MoM
o Fringe Fields: HFA vs. MoM

2. References
[1] C. A. Balanis, Advanced Engineering Electromagnetics, John Wiley & Sons, Inc., USA, 2012.
[2] P. Ya. Ufimtsev, Fundamentals of the Physical Theory of Diffraction, Wiley & Sons, Inc., USA, 2007.
[3] C. Balanis,L.Sevgi, P. Ya Ufimtsev, “Fifty Years of High Frequency Asymptotics,” RFMiCAE, International
Journal on RF and Microwave Computer-Aided Engineering, 23 (4), Jul 2013, pp.394–402.
[4] F. Hacıvelioğlu, L. Sevgi, P. Ya. Ufimtsev, “Electromagnetic Wave Scattering from a Wedge with Perfectly
Reflecting Boundaries:Analysis of Asymptotic Techniques,” IEEE Antennas and Propagation
Magazine, Vol. 53, No. 3, pp.232-253,Jun 2011.
[5] F. Hacıvelioğlu, M. A. Uslu, L. Sevgi, “A Matlab-based Virtual Tool for the Electromagnetic Wave
Scattering from a Perfectly Reflecting Wedge”, IEEE Antennas and Propagation Magazine, 53 (6), Dec
2011, pp.234–243.
[6] G. Çakır, L. Sevgi, P. Ya. Ufimtsev, “FDTD Modeling of Electromagnetic Wave Scattering from a Wedge
with Perfectly Reflecting Boundaries: Comparisons against Analytical Models and Calibration,” IEEE
Trans. on Antennas and Propagat., 60 (7), Jul 2012, pp. 3336–3342.
[7] M. A. Uslu, L. Sevgi,“Matlab-based Virtual Wedge Scattering Tool for the Comparison of High Frequency
Asymptotics and FDTD Method”, ACES Journal, 27 (9), 2012, pp.697–705.
[8] R. F. Harrington, Field Computation by Moment Method, New York: IEEE Press, (First Ed. 1968), 1993.
[9] E. Arvas, L. Sevgi, “A Tutorial on the Method of Moments,” IEEE Antennas and Propagation Magazine, 54
(3), Jun 2012, pp.260–275.
[10] G. Apaydin, L. Sevgi, “Method of Moment (MoM) Modeling for Resonating Structures: Propagation
inside a Parallel Plate Waveguide,” ACES, Int Journal on Applied Computational Electromagnetics, 27
(10), Oct 2012, pp.842–849.
[11] F. Hacıvelioğlu,L. Sevgi, P. Ya. Ufimtsev, “On the Modified Theory of Physical Optics,”IEEETrans on
Antennas and Propagat., Vol. 61, No 12, Dec 2013.
[12] G. Apaydın, L. Sevgi, “Method of Moments (MoM) Modeling of Wave Propagation insidea Wedge
Waveguide,” IEEE Trans on Antennas and Propagat., Nov 2013.
[13] G. Apaydın, F. Hacivelioglu,L. Sevgi, P. Ya. Ufimtsev, “Wedge Diffracted Waves Excited by a Line source:
Method of Moments (MoM) Modeling of Fringe Waves,” IEEE Trans on Antennas and Propagat., Oct
2013.
[14] G. Apaydın, L. Sevgi, “A Novel Wedge Diffraction ModelingusingMethod of Moments,” IEEE Trans on
Antennas and Propagat., Sep 2013.
[15] F. Hacıvelioğlu, L. Sevgi, P. Ya. Ufimtsev, “Backscattering from a Soft-Hard Strip: Primary Edge Waves
Approximation,” IEEE Antennas and Wireless Propagation Letters, Vol. 12, pp.249-252, 2013.