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Engineering Physics (EP)

Courses

EP 701  Analytical Techniques in Engineering Physics  3 Credits

This is a graduate course on mathematical techniques in engineering physics. It focuses on the application of advanced mathematical topics including Fourier and wavelet analysis, functional analysis, rotation groups and algebras, Legendre polynomials and functions and Bessel, Hermite and Laguerre polynomials to space science and spacecraft engineering problems.

EP 702  Theoretical Mechanics and Astrodynamics  3 Credits

This graduate course is organized into two major parts: theoretical mechanics and astrodynamics. The first part is essentially a modern treatment of Lagrangian and Hamiltonian dynamics, as well as variational methods. The first part also covers several other advanced topics in analytical dynamics, including canonical transformations, Hamilton-Jacobi theory and canonical perturbation methods. The second part includes Keplerian and non-Keplerian motion, patched-conic orbits, perturbation methods, Lagrange's Planetary Equations, Gauss' Variational Equations and advanced topics in space navigation.

EP 703  Electrodynamics of Space Environment  3 Credits

This is a graduate course on static and dynamic properties of electromagnetic fields. The objective of the course is to develop advanced concepts in electrostatics, magnetostatics and electrodynamics. This course also emphasizes various mathematical techniques for solving practical electromagnetic problems encountered in space plasma, antennas, propagation and scattering using Maxwell's equations.

EP 704  Stochastic Systems in Engineering Physics  3 Credits

This course is an advanced graduate course in stochastic processes and their applications in physics and engineering. The course covers rigorously continuous-time and discrete-time random processes and principles of optimal estimation. It focuses on the following topics: foundations of the stochastic processes theory based on probability space and s-algebras of events, Gaussian processes, Markov processes, Brownian motion, and multidimensional Wiener process and their relation with the notion of "white noise", stochastic Ito integrals and stochastic differential equations, stationary processes and their spectral properties, conditional expectations and optimal estimation techniques, Kalman filtering and time-series.

EP 705  Optimal Dynamical Systems  3 Credits

An advanced graduate course in optimal control systems. The course covers the principles of optimal control. It focuses on the following topics: classical calculus of variations, LQR and LQG methods, Pontryagin maximum principle, time-optimal control. The course is structured to emphasize some of the recent research activity in optimal dynamical systems analysis and control.

EP 706  Electro-Optical Engineering  3 Credits

Investigates the basic aspects of digital and analog fiber-optics communication systems. Topics include sources and receivers, optical fibers and their propagation characteristics and optical fiber systems. The characteristics of lasers, optical amplifiers and detectors and noise will be investigated, and systems design of fiber optic communication systems will be addressed. Quantitative development of electro-optical remote-sensing systems such as LIDARs, Hyper Spectral Imaging, Multi-directional high throughput temperature imagers, very low light level white light and monochromatic visible and infrared-red all-sky cameras. New high quantum efficiency, low thermal and read out noise detectors. Compact and rugged zed space-borne facilities and integrated multi-instrument observing systems. Digital processing and analyses of various images recorded with satellite instrumentation as well as ground-based recording of all-sky monochromatic and wide band pass images. Application of all the above to medical, drug, hazardous chemical testing and detection as well as to industrial and space exploration needs.

EP 707  Nonlinear Dynamical Control Systems  3 Credits

This course is a second graduate course in nonlinear dynamical control systems, organized into three major parts: differential geometric nonlinear control, advanced topics in feedback linearization and input-output and advanced stability analysis. The course is structured to emphasize some of the recent research activity in nonlinear dynamical systems analysis and control. It uses concepts from differential geometry, however the course is self contained in that the necessary mathematics will be taught as part of the course.

EP 708  Remote Sensing: Active and Passive  3 Credits

Introduces students to concepts in remote sensing in the microwave and RF bands. The course will cover the fundamentals of radar and passive remote sensing. This includes the underlying physics of scattering and radiative transfer, analytical techniques, system design and examples illustrating the use of radiometer and radar as tools for monitoring the natural environment. The course will provide a systems perspective to remote sensing instrument design. The students will obtain the knowledge and ability to perform basic systems engineering calculations, evaluate tradeoffs and evaluate advanced systems.

EP 709  Upper Atmospheric Physics  3 Credits

In this course, we reveal the fundamental processes controlling the structure, composition, dynamics and energetics of the terrestrial upper atmosphere (the near-Earth space environment). Topics include vertical structure of the atmospheric gases, solar radiation and photolysis, collisional processes, photochemistry and transport, thermodynamics, radiative processes, dynamics of the upper atmosphere, aurora and airglow phenomena, layered phenomena: metallic atoms, noctilucent clouds, and radio echoes and energy balance of the atmosphere and global change.

EP 710  Space Plasma Physics  3 Credits

This course is a graduate course in advanced plasma physics and its space applications. A strong background knowledge of electrodynamics and a previous introductory course (at the undergraduate level) in plasma physics is strongly recommended. It will start from the microscopic fundamentals, and then derive useful approximations such as Vlasov theory, two-fluid theory and magnetohydrodynamics. Waves and instabilities in each of these descriptions will be investigated. Applications to the space environment will form a core component of this course.

EP 711  Computational Atmospheric Dynamics  3 Credits

This is a second graduate course in atmospheric dynamics. Here, we emphasize the numerical solution of the governing fluid equations for various types of fluid flows. Various numerical methods and their associated limitations are discussed. Comparisons between real observations and simulations will be made wherever possible. Students will gain experience running large simulation code on a supercomputer. In addition to exams, students will be required to complete a hands-on project.

EP 712  Geophysical Fluid Dynamics  3 Credits

This is the first graduate course in atmospheric dynamics. The thermodynamics of fluids and conservation laws are introduced, which lead to the Navier-Stokes equations describing fluid flow. Effects of rotation on fluids are described. Wave motions occurring in the atmosphere and oceans are described, and include gravity waves, Rossby waves and Kelvin waves, as well as tidal motions. Instability processes, some triggered by waves, are discussed, and the cascade of energy to smaller scales through turbulence is described. Global scale "mean" motions (winds and Hadley cells) are discussed. The dissipative effects of molecular diffusion in rarefied gases are also described.

EP 799  Special Topics in Engineering Physics  1-6 Credit

Guided independent study of selected topics not offered in regularly scheduled classes. Course work Requirements are established by the instructor and the arrangement is made between the instructor and students, subject to approval of the Ph.D. program committee and department chair.

EP 800  Dissertation  3-9 Credit

A doctoral-level research in Engineering Physics including an oral defense and a written dissertation satisfying all doctoral degree program guidelines. The work is supervised by the student's advisor and dissertation committee. The approval of the dissertation committee is required to receive final dissertation credit.