COURSE DESCRIPTIONS
ECE 6202 PROBABILISTIC METHODS OF SYSTEM ANALYSIS
Random Processes: Continuous and Discrete Random Processes,
Deterministic and Nondeterministic Random Processes,
Stationary and Nonstationary Random Processes, Ergodic and
Nonergodic Random Processes, Measurement of Process
Parameters; Correlation Functions: Autocorrelation Function
of a binary Process, Properties of Autocorrelation
Functions, Measurement of Autocorrelation Functions,
Examples of Autocorrelation Functions, Cross-correlation
Functions, Properties of Cross-correlation Functions,
Examples and Applications of Cross-correlation Functions;
Spectral Density: Relation of Spectral Density to the
Fourier Transform, Properties of Spectral Density, Spectral
Density and the Complex Frequency Plane, Mean-Square Values
from Spectral Density, Relation of Spectral Density to the
Autocorrelation Function, White Noise, Cross-spectral
Density, Measurement of Spectral Density, Examples and
Applications of Spectral Density; Response of Linear Systems
to Random Inputs: Analysis in the Time Domain, Mean and Mean
Square Value of System Output, Autocorrelation Function of
System Output, Cross-correlation Between Input and Output,
Example of Time-Domain System Analysis, Analysis in
Frequency Domain, Spectral Density at the System Output,
Cross-Spectral Densities Between Input and Output, Examples
of Frequency Domain Analysis; Optimum Linear Systems:
Criteria of Optimality, Restriction on the Optimum System,
Optimization by Parameter Adjustment, Systems Maximize
Signal-to-Noise Ratio, Systems that Minimize Mean-Square
Error.
ECE 6203 ANALYSIS OF STRIP AND MICROSTRIP SYSTEMS
Microwave integrated circuits: Circuit forms for microwave
integrated circuits/ The technology of microwave integrated
circuits: Monolithic technology. Hybrid technology.
Comparison between monolithic and hybrid circuits.
Properties of high resistivity semiconducting substrates.
Substrates for hybrid circuits. Deposed metals for MICs
(thin-film technology). Fired film metallization (thick-film
technology). Fired vs. deposed films in MICs. Other film
materials. Circuit requirements and fabrication.
Characterization and incorporation of active devices in
MICs/ Analysis of microstrip transmission lines: Quasi-TEM
analysis for microstrip line structure. Wave theory analysis
of microstrip lines. Higher order modes. Losses in
microstrip lines. Radiation and end loading. Conclusions/
Lumped elements in microwave integrated circuits:
Lumped-element design. Design of inductors and resistors.
Design of capacitors. The measurement and performance of
lumped elements of 12 GHz. Lumped-element circuits. Status
of lumped-element applications/ Integrated ferromagnetic
devices: Electromagnetic wave propagation in bounded media.
Integrated ferrite phase shifters. Circulators. Edge guided
devices/ Microwave propagation on coupled pairs of
microstrip transmission lines: The coupled microstrip
configuration. Normal modes of propagation in the Quasi-TEM
regime. Presentations of data/ Computer aided design,
simulation and optimization: Analysis of microwave circuits.
Analytical characterization of cascaded distributed
elements. Performance simulation techniques. Fundamentals of
optimization. Description and application of DEMON
(diminishing error method of optimization for networks).
ECE 6204 ANALYSIS OF MICROSTRIP ANTENNAS
Basic concepts and calculation techniques: Aperture
antennas, Patch antennas. Radiation characteristics. Planar,
circular, spherical structures. Arbitrary patch
configurations. Patch trajectories for specific purposes.
Embedded structures. Microstrip arrays.
ECE 6205 FIRST ORDER CANONICAL PROBLEMS OF DIFFRACTION
The phenomenon of diffraction. The diffraction of
electromagnetic waves from regions of small refrangeability.
The Jeffreys (W.K.B.) approximation. Radio wave propagation:
explanation of the problem and the historical background;
the extension of Watson's analysis for a nonhomogeneous
atmosphere; high level inversions. The diffraction of
electrically polarized waves around a finite, perfectly
conducting cone. Diffraction by large and small cones.
Linear integral equations. The simple microwave lens.
Diffraction from objects in the focal field: the slab; the
cylinder. The Fabry-Perot microwave interferometer: basic
theory. The concentric resonator. The ex-centric resonator.
The driven microwave interferometer.
ECE 6206 MIXED BOUNDARY VALUE PROBLEMS IN ELECTROMAGNETIC
THEORY
Mixed boundary value problems; basic elementary problems;
generalized potential theory; Integrals and series including
Bessel functions; Integral equations; Hankel transforms and
associated Legendre Functions; the first basic problem:
electrically charged disc problem; Weber solution; Beltrami
symmetric potentials; the formulation and solution of the
problem in oblate spherical coordinates; Corpon solution;
Beltrami method, elementary solution of dual integral
equations; Methods based on integral representation of
harmonic functions; dual integral equations: dual integral
equations in Titchmarsh type; Peter solution; Titchmarsh
solution; Nöble solution; Gordon-Copson solution; Functions
derived from solutions of dual integral equations; special
cases; Hankel kernel; arbitrary weight function; general
problem; Integral representation methods; approximate
solutions; simultaneous equations; dual series equations;
triple equations: Titchmarsh triple integral equations and
their solutions; Kobayashi
potentials; Dovnorovich solution; Galin Theorem; Green
solution; Electrostatic applications: circular plate
conductor; solution of Love integral equation; problems
related to spherical geometries.
ECE 6207 COMPUTATIONAL METHODS IN ELECTROMAGNETIC THEORY
Numeric interpolation and extrapolation. FFT. MOM.
Electromagnetic modeling with method of moments. Theory of
conducting bodies. Thin conductors. Permitive and lossy
mediums. Apertures. Mixed MM, alternate Green's functions.
Numeric and computational methods. Integral equation
techniques. Finite difference time domain method. Finite
element time
domain methods.
ECE 6208 THE PHYSICAL AND SURFACE THEORY OF DIFFRACTION
Basic principals. The concept of leading problem. Leading
problems in canonical forms and their solutions.
Wiener-Hopf-Hilbert problem. Scattering from perfectly
conducting objects. Hurd's method. The case of scattering
from scatterers with impedance boundary surfaces. Scatterers
covered with dielectrics. Conducting bodies buried in
dielectric or isolated mediums. Objects having impedance
properties and buried in dielectrics. The formulation of
PASTD. Applications to Radar Cross Section.
ECE 6209 QUANTUM ELECTRONICS IN DESIGN OF ELECTRONIC DEVICES
AND SYSTEMS
Basic theorems and postulates of quantum mechanics. The
Schrödinger wave equation. Some solutions of the
time-independent Schrödinger equation. Matrix formulation of
quantum mechanic. Lattice vibrations and their quantization.
Electromagnetic fields and their quantization. The
propagation of optical beams in homogeneous and lenslike
media. Optical
resonators. Interaction of radiation and atomic systems.
Laser oscillation. Some specific laser systems,
semiconductor lasers. Q switching and mode locking of
lasers. Amplification signals and spontaneous emission in
laser media. Noise in laser amplifiers and oscillators. The
modulation of optical radiation. Parametric amplification,
oscillation, and fluorescence. Stimulated Raman and
Brillouin scattering. Propagation, modulation, and
oscillation in optical dielectric waveguides.
ECE 6210 THE THEORY OF GENERAL RELATIVITY
Tensor Algebra. Vector fields in affine and Riemann space.
Tensor analysis. Tensors in physics. The gravitational field
equations in free space. The Schwarzschild solution and its
consequences. Experimental tests of general relativity. The
Kerr solution. The mathematical structure of the Einstein
differential system. The problem of Cauchy. The linearized
field equations. The gravitational field equations for
nonempty space. Further consequences of the field equations.
Electromagnetism and general relativity. Weyl's
generalization of Riemannian geometry. Weyl's theory of
electromagnetism. Some mathematical machinery. The equations
of Rainich, Misner, and Wheeler.
ECE 6211 THE SOLAR ENERGY TECHNOLOGIES
The principles of solar energy. Solar radiation and
measurements. The solar radiation maps of Earth.
Semiconductor physics. Semiconductor-electrolyte junctions
and transfer reactions. Molecular electronics. Organic
semiconductors. Semiconductor solar cells. The materials for
photoelectrochemical batteries. Organic solar cells.
Theoretical approaches. Storage of solar energy. Other
applications.
ECE 6212 THE THEORY OF COMPLEX FUNCTIONS IN ENGINEERING AND
APPLIED PHYSICS
The basis of the theory of functions of a complex variable:
Analytic functions. Analytic continuation. Riemann surfaces.
Meromorphic functions. Singularities of complex functions.
Complex series and integration. Cauchy's integral theorem.
Cauchy's integrals. Taylor's expansion. Laurent's expansion.
The theorem of residues, the application of the theory of
residues, integral and fractional functions. Functions of
several variables and matrix functions. Conform transform
and the two dimensional field. Linear differential
equations; the special functions. Spherical functions,
Bessel functions, the hermitian and Laguerre polynomials,
elliptic integrals and elliptic functions; the conversion of
matrices into canonical form. Sturm Liouville problems.
Cauchy's principal value. Asymptotic expansions. Asymptotic
approaches.
ECE 6213 INVERSE SCATTERING
Image reconstruction from projections: a mathematical
analysis approach; The Radon transform in the space of
distributions with compact support; Applied inverse problems
for acoustic electromagnetic and elastic wave scattering;
acoustic, electromagnetic and elastic waves, Huygen's
principle, time harmonic plane wave spectra of the
homogenous wave equation, reconstruction from projections,
Rayleigh-Sommerfeld holography, generalized holography,
coherent superposition of generalized holography
experiments, diffraction tomography, time domain
backpropagation, monostatic experiments; basic concepts and
methods of inverse problems; linearized inverse problems,
spectral inverse problems and the Gelfand-Levitan Equation,
one-dimensional inverse scattering problems and the
Marchenko equation.
ECE 6214 NONLINEAR MICROWAVE CIRCUITS
Introduction, Fundamental
Concepts, and Definitions: Linearity and Nonlinearity;
Frequency Generation ; Nonlinear Phenomena; Approaches to
Analysis; Power and Gain Definitions/ Definitions of the
Linear and Nonlinear R,L,C Elements: Relations I/V ; Q/V;
/
I / Analysis Methods for the Nonlinear Circuits:
Harmonic-Balance and Large -Signal – Small – Signal
Analysis; Volterra –Series and Power-Series / Manley –Rowe
Frequency Relations and Applications / Page Relation /
Important Nonlinear Microwave Circuits: Diode Mixers – Diode
Frequency Multipliers - MESFET Small-Signal Amplifiers –
MESFET Power Amplifiers – FET Frequency Multipliers – FET
Mixers – Seminar.
ECE 6216 NOISE IN THE ELECTRICAL CIRCUITS
Mathematical Concepts: Stochastic processes; Fourier Series
Representation; Signal Energy and Average power. Power
Spectrum Function ,Wiener-Hopf Theorem, Auto and Cross
Power Spectrum Functions and obtaining them Auto and
Cross Correlation functions, application to the typical
noise processes: Thermal noise and Shot noise/ Noise in
One-ports: Thermal noise; definitions of Noise quantities :
The Equivalent Noise Resistance , the Noise Conductance, the
extended noise Temperature; Calculation with Noise
Quantities: Series and Parallel connections of One-ports
characterized by either equivalent Noise Resistances
(Conductances) or Extended Noise Temperatures/ Noise
characteristics of Multi-ports: Power Gains; Definitions of
Noise Quantities: Effective Noise Temperature, the Noise
Factor, the Operating Noise Temperature; Average Noise
Quantities: Average Effective Noise Temperature, Average
Noise Factor, Average Operating Noise Temperature/ Noise
Parameters: Noise Voltages and Currents; the Equivalent
Noise Two-Port; Y-Z Noise Parameters; Noise Measure and
Graphic Representations Noise Power Waves-Noise Parameters;
Transformation between set of noise parameters./ Noise
Measure and Graphic Representations/ Noise in the embedded
Networks/Seminar.
ECE 6217
ANALYTIC TECHNIQUES IN GUIDED WAVE THEORY
Maxwell’s equations; boundary, radiation and edge conditions
/ Cylindrical waveguides and periodical structures / Mode
matching technique / Fundamental Wiener–Hopf technique /
wave guide problems and solutions / Expanded Wiener–Hopf
techniques and typical waveguide problems applications.
ECE 6218 DATA COMMUNICATION SYSTEMS
Basic concepts and terminology / Asynchronous communication
/ Synchronous communication / Error detection / Error
correction / Low, medium and high rate modems / Data
compression techniques / Modem communication programs and
writing techniques / Statistical multiplexing / Local data
Networks / Wide area data Networks / Logical circuits /
Applications.
ECE 6219 ADVANCED DIGITAL SIGNAL
PROCESSING
Discrete random processes/ linear transformations / Optimum
filtering / linear prediction / linear models / Classical
prediction techniques / Linear models based spectrum
estimation / Maximum likelihood estimation (ML)/ Subspace
methods / Applications.
ECE 6221 COMPUTER COMMUNICATION NETWORKS
Queueing Theory / Capacity Assignment / Distributed and
Central Networks / Time Delay-Cost Trade-off / Concentrators
and Buffers / Finite-Length Buffers / Dynamic Buffering /
Central Network Design / Design Algorithms.
ECE 6223 ADVANCED ELECTROMAGNETICS THEORY I
Delta-Dirac function and usage in EM theory / Differential
form of Maxwell’s including boundary conditions / Integral
form of Maxwell’s equations and actuation of Poynting’s
theorem in inhomogeneous medium / Solution of Poisson’s
equation in bounded and unbounded mediums / Green’s function
/ Laplacian of a vector / Helmholtz Theorem / Equivalency
problems in field theory and image theory / Application of
separation of variables method in boundary value problems /
Solution of boundary value problems with computational
techniques.
ECE 6224 ADVANCED ELECT
