Courses Taught

Professor C. D. Cantrell, UT-Dallas

Life Fellow, IEEE

ELECTRICAL ENGINEERING COURSES

EE 2310 COMPUTER ORGANIZATION AND DESIGN (Last taught: Fall 1999)
(3 semester hours) Introduction to the aspects of computer architecture with which electrical engineers need to be familiar in order to use computers intelligently in their work. The course uses a subset of the assembly language for the MIPS R2000 and R3000 processors to illustrate arithmetic and logical operations, subroutine linkage, exception handling, pipelining and other topics. Text: Computer Organization and Design: The Hardware/Software Interface, Second Edition, by David Patterson and John Hennessy. A course outline and the course home page are available.
EE 4301 ELECTROMAGNETIC ENGINEERING I (Last taught: Spring 2012)
(3 semester hours) Introduction to the most essential aspects of electromagnetics for a working electrical engineer. Review of the mathematical and physical description of scalar and vector fields. Computation of capacitance. Physical interpretation of Maxwell's equations. Propagation of plane electromagnetic waves and energy. Transmission lines. Antenna fundamentals. Prerequisites: PHYS 2326, EE 3300. Text: Fundamentals of Electromagnetics for Electrical and Computer Engineering, by N. N. Rao (Pearson, 2008), ISBN 0136013333. A course outline and the course home page are available.
EE 4302 ELECTROMAGNETIC ENGINEERING II (Last taught: Summer 1997)
(3 semester hours) Introduction to the most essential aspects of electromagnetics for a working electrical engineer. Physical interpretation of Maxwell's equations. Propagation of plane electromagnetic waves and energy. Transmission lines. Antenna fundamentals. Prerequisites: PHYS 2326, EE 3300, EE 4301. Text: Fields and Waves in Communication Electronics, Third Edition, by Simon Ramo, John R. Whinnery and Theodore Van Duzer (John Wiley & Sons, 1994). A course outline and the course home page are available.
CE/EE 4304 COMPUTER ARCHITECTURE (Last taught: Fall 2011)
(3 semester hours) Introduction to computer organization and design, including the following topics: CPU performance analysis. Instruction set design, illustrated by the MIPS instruction set architecture. Systems-level view of computer arithmetic. Design of the datapath and control for a simple processor. Pipelining. Hierarchical memory. I/O systems. I/O performance analysis. Multiprocessing. Students cannot get credit for both CS/SE 3340 and CE/EE 4304. Prerequisite: CE/EE 3320. Text: Computer Organization and Design: The Hardware-Software Interface, Fourth Edition, by Professors David Patterson and John Hennessy. A course outline and the course home page are available.
EEOP 6309 FOURIER OPTICS (Last taught: Spring 2012)
(3 semester hours) Description of coherent optics using a linear systems approach. The concepts of impulse response and transfer functions for unbounded wave propagation, diffraction, and image formation. Introduction to holography and optical data processing. Prerequisites: EE 3302 and EE 4301 or equivalents. Text: Linear Systems, Fourier Transforms, and Optics, by Jack D. Gaskill (Wiley, 1978) (ISBN: 978-0-471-29288-3). A course outline is available.
EEOP 6310 OPTICAL COMMUNICATION SYSTEMS (Last taught: Fall 2002)
(3 semester hours) Operating principles of optical communication systems and fiberoptic communication technology. Topics covered include: Overview of optical communication systems, review of optics, characteristics of optical fibers, optical waveguides, review of digital communications, optical sources and transmitters, optical detectors and receivers, optical amplifiers, noise and detection, dispersion in optical communication systems, and optical link design Text: Fiber-Optic Communication Systems, 3rd Edition, by Govind P. Agrawal (Wiley) (ISBN: 0-471-21571-6). A course outline and the course home page are available.
EEOP 6317 PHYSICAL OPTICS (Last taught: Summer 2011)
(3 semester hours) Study of optical phenomena based primarily on the electromagnetic nature of light; mathematical description of polarized light; Jones and Mueller matrices; interference of polarized waves; interferometers, diffractive phenomena based on scalar formalisms; diffraction gratings; and diffraction in optical instruments. Prerequisite: EE 4301 or equivalent. Text: Principles of Physical Optics, by Charles A. Bennett (Wiley, 2008) (ISBN: 978-0470122129). A course outline and the course home page are available.
EEOP 6328 NONLINEAR OPTICS (Next offered: Summer 2013?)
(3 semester hours) Survey of nonlinear optical effects; origins of optical nonlinearities; laser-pulse propagation equations in bulk media and optical fibers; the nonlinear optical susceptibility tensor; second-order nonlinear optical effects (second harmonic generation, optical rectification, parametric mixing and amplification); the third-order nonlinear optical susceptibility tensor; third-order nonlinear optical effects in fiberoptic communication systems (self-phase modulation, cross-phase modulation, stimulated Brillouin scattering, stimulated Raman scattering, four-wave mixing, nonlinear polarization mode dispersion); self-focusing and self- defocusing in bulk media; computational methods for nonlinear optics. Equivalent to PHYS 6361. EE 6317 and EE 6310 recommended. Text: Nonlinear Fiber Optics, 2nd Edition, by G. P. Agrawal (Academic Press, 1995). A course outline and the course home page are available.
EEOP 6334 ADVANCED GEOMETRICAL AND PHYSICAL OPTICS (Last taught: Fall 1998)
(3 semester hours) Geometrical optics as a limiting case of the propagation of electromagnetic waves; geometrical theory of optical aberrations; the diffraction theory of aberrations; image formation with partially coherent and partially polarized light; computational methods for physical optics. Other topics may be selected from the following: diffraction theory of vector electromagnetic fields, diffraction of light by ultrasonic waves, optics of metals, Lorenz-Mie theory of the scattering of light by small particles, and optics of crystals. Prerequisite: consent of instructor. Equivalent to PHYS 5368. EE 6317 and EE 6310 recommended. (3-0) Text: M. Born and E. Wolf, Principles of Optics, 7th Edition. The course home page is available.
EEDG 6345 ENGINEERING OF BROADBAND PACKET NETWORKS (Last taught: Fall 2009)
(3 semester hours) This course deals with the hierarchical design and analysis of broadband packet networks, especially those which employ the Internet Protocol (IP) at the network layer and the Transmission Control Protocol (TCP) at the transport layer. Issues related to hardware and software implementation are discussed in detail. Topics covered include the datalink layer (local area networks, switching and bridging, self-similar traffic), the network layer (addressing and routing, hardware architectures of routers), the transport layer (sockets, reliable connection-oriented and unreliable connectionless transport protocols), and applications such as the World Wide Web, mobile IP, IP telephony, and real-time services. Prerequisite: EE 3350. Text: Computer and Communication Networks, by Nader Mir (Prentice Hall, 2007). A course outline and the course home page are available.

EEGR 6351 COMPUTATIONAL ELECTROMAGNETICS (Last taught: Fall 1998)
(3 semester hours) Review of Maxwell's equations; numerical propagation of scalar waves; finite-difference time-domain solutions of Maxwell's equations; numerical implementations of boundary conditions; numerical stability; numerical dispersion; absorbing boundary conditions for free space and waveguides; selected applications in telecommunications, antennas, sub-micron integrated circuits and digital systems. Text: Computational Electrodynamics: The Finite-Difference Time-Domain Method, by Allen Taflove (Artech House, 1995). The course home page is available.
EEGR 6381 NUMERICAL METHODS IN ENGINEERING (Next offered: Summer 2013?)
(3 semester hours) Numerical techniques in engineering and their applications, with an emphasis on practical implementation. Students who take this course must either know one of the programming languages C, C++ or FORTRAN, or must learn one of these languages during the course. Topics will include some or all of the following: numerical methods of linear algebra, interpolation, solution of nonlinear equations, numerical integration, numerical solution of ordinary and partial differential equations, and numerical solution of integral equations. Prerequisite: Consent of the instructor. The final grade will be determined by a term paper summarizing the results of a computational project. Texts: Press et al., Numerical Recipes, and draft chapters from Professor Cantrell's book, Modern Mathematical Methods in Physics and Engineering. A course outline and the course home page are available.

PHYSICS COURSES

PHYS 5401 MATHEMATICAL METHODS OF PHYSICS I (Last offered: Fall 1996)
(4 semester hours) Introduction to group theory in physics, vector spaces, inner-product spaces, linear mappings, eigenvalues and eigenvectors of linear mappings, matrices, linear equations, tensors, survey of complex analysis, Hilbert spaces in classical and quantum physics. The final examination, the average of the two midterm examinations, and the average of the weekly homework assignments are given equal weights in the final grade. Text: Draft chapters from Professor Cantrell's book, Modern Mathematical Methods in Physics and Engineering. A course outline and the course home page are available.
PHYS 5302 MATHEMATICAL METHODS OF PHYSICS II (Last offered: Spring 1997)
(3 semester hours) Survey of real and complex analysis, special functions (Bessel functions, orthogonal polynomials, spherical harmonics), distributions, Green's functions, integral equations, calculus of variations, variational formulations of field theories, and statistics. Prerequisite: PHYS 5401. Text: Draft chapters from Professor Cantrell's book, Modern Mathematical Methods for Physicists and Engineers. A course outline is available.
PHYS 5313 STATISTICAL PHYSICS (Last offered: 1983)
(3 semester hours) Probability theory; statistical ensembles and the statistical definition of entropy and free energy; interaction between macroscopic systems; macroscopic thermodynamics and its applications; Maxwell relations and thermodynamic potentials; the partition function for simple systems; phase transitions; quantum statistics of ideal gases; transport theory using kinetic, relaxation and Boltzmann-equation methods; irreversible processes and fluctuations. Text: Fundamentals of Statistical and Thermal Physics, by Frederick Reif (McGraw-Hill, 1965).

PHYS 6303 APPLICATIONS OF GROUP THEORY IN PHYSICS (Last offered: 1995)
(3 semester hours) Group representation theory and selected applications in atomic, molecular and elementary-particle physics: Survey of abstract group theory and matrix representations of SU(2) and the rotation group, group theory and special functions, the role of group theory in the calculation of energy levels, matrix elements and selection rules, Abelian and non-Abelian gauge field theories, the Dirac equation, representations of SU(3), and the Standard Model of elementary-particle physics. Prerequisite: PHYS 5401. Text: Draft chapters from Professor Cantrell's book, Modern Mathematical Methods for Physicists and Engineers. A course outline is available.
PHYS 6304 LIE GROUPS IN PHYSICS (Last offered: 1997)
(3 semester hours) The theory of Lie groups and Lie algebras, with an emphasis on applications to elementary-particle physics. Cartan's theorem, root spaces of the classical and exceptional groups, Dynkin diagrams, weight spaces of the classical groups, unitary irreducible representations of U(n) and SU(n). Weyl's character formula and branching theorem, calculation of the simple characters of SU(n) by the method of subtraction, representations of the Lorentz and Poincare groups. Prerequisite: PHYS 6303 or consent of the instructor. A course outline is available.
PHYS 6311 RELATIVISTIC QUANTUM FIELD THEORY I (Last offered: 1997)
(3 semester hours) Classical fields; quantum theory of radiation; relativistic quantum mechanics of spin 0 and 1/2 particles; Klein-Gordon and Dirac equations; fundamentals of quantum field theory and quantum electrodynamics; second quantization; spin and statistics; covariant perturbation theory; Mott scattering; annihilation and Compton scattering; Feynman graphs; Moller scattering; mass and charge renormalization. (Normally follows PHYS 6300 or 6301.)

PHYS 6365 QUANTUM OPTICS I (Last offered: 1988)
(3 semester hours) Classical and quantum scalar field theories; quantum theory of the electromagnetic field in the Coulomb gauge; techniques of operator algebra; coherent states; analytic signals; classical and quantum theories of optical coherence; quantum theory of photoelectric detection. Text: Quantum Statistical Properties of Radiation, by William H. Louisell.

PHYS 6366 QUANTUM OPTICS II (Last offered: 1989)
(3 semester hours) Interaction of a quantum system with a reservoir; the density-matrix equation of motion in the Markov approximation; quantum Fokker-Planck and Langevin equations; quantum theory of the laser; statistics of laser light; effects of the statistical properties of light on nonlinear-optical processes. Text: Quantum Statistical Properties of Radiation, by William H. Louisell.

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