Class Taught Since 1990
Engineering design, effective team participation and career preparation. Students are expected to participate in hands-on design projects, develop education/career plans and initiate development of the personal and management skills necessary for life long learning.
Electrostatic and magnetostatic fields; Maxwell's equations;
introduction to plane waves, transmission lines, and sources .
ECE 381 is structured to provide all students with the fundamental concepts and analytical techniques associated with electromagnetics and transmission line theory. Successful completion of this course will allow a student access to all of the 400 level tech electives in the electromagnetics and optics areas.
The goal of this course is to understand Maxwell’s equations and to
apply them to the solution of simple practical problems connected with
electromagnetic fields and waves. The students are expected to acquire a
working knowledge of the basic concepts of electromagnetism and to be
able to design simple components like rectangular waveguides .
Introduction to the fundamentals of radiation, antenna theory and
antenna array design. Design considerations for wire, aperture,
reflector and printed circuit antennas .
ECE 484/584 is structured to provide all students with the fundamental concepts and analytical techniques associated with antennas design and analysis. Exposure to different types of practical antenna systems is a major theme. Antennas now occur throughout our living environment. Some common applications include communication systems (e.g. satellite-to-earth link), mobile phones and wireless systems, radars, navigation and guidance systems (e.g. GPS), antennas, radio astronomy, remote sensing, hyperthermia for cancer treatment and magnetic resonance imaging (MRI). Understanding fundamentals of Electromagnetics is intrinsic to understanding how to analyze and design various types of antenna systems for all of these applications and more.
Introduction to diffraction and 2D Fourier optics, geometrical optics, paraxial systems, third order aberrations, Gaussian beam propagation, optical resonators, polarization, temporal and spatial coherence, optical materials and nonlinear effects, electro-optic modulators. Applications to holography, optical data storage, optical processing, neural nets, associative memory optical interconnects.
Advanced analysis techniques, Hilbert spaces, Functional bases, Best
approximations, Functions of complex variables, Residue integration,
Spectral decomposition of linear operators .
ECE 581a is structured to provide all students with the fundamental concepts and analytical techniques associated with engineering electromagnetics. The material is a complete exposure to Maxwell’s equations and their solutions for a variety of problems at an advanced graduate level. This theoretical study provides the student with the basis to deal with a wide range of practical topics including microwave engineering, millimeter wave engineering, optical engineering, antennas, sensors remote sensing, electromagnetic interference and electromagnetic compatibility. Understanding the fundamentals of electromagnetics is intrinsic to understanding how to analyze and design various types of components, devices, and systems for all of these applications and more.
The course will consider Maxwell’s equations in rectangular, cylindrical and spherical coordinates. A variety of wave phenomena in simple and complex media will be discussed. Plane wave, Gaussian beams, and current source solutions will be treated. Basic scattering from interfaces and guided wave problems will be introduced and solved.
The student will become conversant in standard definitions, special functions, solution representations, and their use in solving canonical problems. The class material will emphasize understanding and analysis tools.
ECE 581b is structured as a sequential, second course that follows ECE 581a. In ECE 581a the fundamental concepts and analytical techniques associated with engineering electromagnetics were introduced. In ECE 581b those concepts and the associated analytical tools are used to investigate a variety of canonical propagation, scattering, and diffraction problems. These problems include metallic and dielectric waveguides, closed and open guiding structures, plane wave scattering from cylinders, wedges, and spheres; line source scattering from cylinders and wedges; and dipole scattering from spheres. Asymptotic techniques including basics from the geometrical theory of diffraction are included in the discussions.
As with ECE 581a, ECE 581b class material will emphasize understanding and analysis tools.
The material is a complete exposure at an advanced graduate level. This theoretical study provides the student with the basis to deal with a wide range of practical topics including microwave engineering, millimeter wave engineering, optical engineering, antennas, sensors remote sensing, electromagnetic interference and electromagnetic compatibility. Understanding the fundamentals of electromagnetics is intrinsic to understanding how to analyze and design various types of components, devices, and systems for all of these applications and more.
Advanced scattering and diffraction problems that can be handled with analytical techniques; Methods of solution of boundary value problems in electromagnetics; Green's function and eigenfunction expansion techniques; moment methods; asymptotics.
While basic problems such as plane wave scattering from cylinders, spheres, and diffracting wedges are explained in ECE 581b, more difficult problems, such as plane wave scattering from cylinders with axial slits and spheres with circular holes and waveguide irises, are treated analytically in ECE 688.
All basic forms of high frequency asymptotic solutions of Maxwell’s
equations, including geometrical optics (GO), geometrical theory of
diffractions (GTD), uniform asymptotic theories (UAT), physical theory
of diffraction (PTD), physical optics (
ECE 696b is structured to provide all students with the fundamental concepts and basic numerical techniques associated with computational electromagnetics (CEM), i.e., how to solve Maxwell’s equations on a computational platform. Nearly all electromagnetics efforts, whether academic, commercial, or government, rely heavily on modern CEM software. The ability of CEM software to accurately predict the electromagnetic behavior of complex systems from DC to light has significantly impacted device and system design cycles, particularly their cost. It is not uncommon now to be able to design, fabricate and test with only one or two iterations to achieve a final product.
This course will discuss in some detail at least the basic three methods: the finite difference time domain (FDTD) method, the finite element (FEM) method, and the method of moments (MoM). The student will become conversant in standard definitions, standard numerical techniques, standard arguments for modeling in the time domain or the frequency domain, standard limitations of CEM and standard approaches to validate the CEM software.
The class material will be primarily a reading course that will emphasize understanding and numerical tools.