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Principles of environmental reactions with emphasis on aquatic chemistry; reaction and phase equilibria; acid-base and carbonate systems; oxidation-reduction; colloids; organic contaminants classes, sources, and fates; groundwater chemistry; and atmospheric chemistry.
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A study of the chemical and physical operation involved in treatment of potable water, industrial process water, and wastewater effluent; topics include chemical precipitation, coagulation, flocculation, sedimentation, filtration, disinfection, ion exchange, oxidation, adsorption, flotation, and membrane processes. A physical-chemical treatment plant design project is an integral part of the course. The approach of unit operations and unit processes is stressed.
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Deals with aspects of the technology of processing procedures involved in the fabrication of microelectronic devices and microelectromechanical systems (MEMS). Students will become familiar with various fabrication techniques used for discrete devices as well as large-scale integrated thin-film circuits. Students will also learn that MEMS are sensors and actuators that are designed using different areas of engineering disciplines and they are constructed using a microlithographically-based manufacturing process in conjunction with both semiconductor and micromachining microfabrication technologies
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This course deals with the fundamentals and applications of nanoscience and nanotechnology. Size-dependent phenomena, ways and means of designing and synthesizing nanostructures, and cutting-edging applications will be presented in an integrated and interdisciplinary manner.
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This course is an introduction to the field of Tissue Engineering. It is rapidly emerging as a therapeutic approach to treating damaged or diseased tissues in the biotechnology industry. In essence, new and functional living tissue can be fabricated using living cells combined with a scaffolding material to guide tissue development. Such scaffolds can be synthetic, natural, or a combination of both. This course will cover the advances in the field of cell biology, molecular biology, material science, and their relationship towards developing novel ‘tissue engineered’ materials.
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The goal of this course is to learn the basic concepts commonly utilized in the processing of advanced materials with specific compositions and microstructures. Solid state diffusion mechanisms are described with emphasis on the role of point defects, the mobility of diffusing atoms, and their interactions. Macroscopic diffusion phenomena are analyzed by formulating partial differential equations and presenting their solutions. The relationships between processing and microstructure are developed on the basis of the rate of nucleation and growth processes that occur during condensation, solidification, and precipitation. Diffusionless phase transformations observed in certain metallic and ceramic materials are discussed.
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This course covers the environmental and health aspects of nanotechnology. It presents an overview of nanotechnology along with characterization and properties of nanomaterials. The course material covers the biotoxicity and ecotoxicity of nanomaterials. A sizable part of the course is devoted to discussions about the application of nanotechnology for environmental remediation along with discussions about fate and transport of nanomaterials. Special emphasis is given to risk assessment and risk management of nanomaterials, ethical and legal aspects of nanotechnology, and nano-industry and nano-entrepreneurship. Prerequisites: Freshman chemistry and a course in fluid mechanics
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This course provides an overview and industrial perspectives regarding downstream separation in drug substance development and manufacturing. Basic principles and practical applications of unit operations most commonly employed in the pharmaceutical industry will be discussed, including extraction, absorption, membrane, distillation, crystallization, filtration, and drying. Examples will be discussed to illustrate the intrinsic relationship between process development, equipment selection, and scale-up success.
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Upon completion of this course, students will be able to demonstrate an understanding of the major classes of engineering materials, their principal properties, and design requirements that serve as both the basis for materials selection, as well as for the ongoing development of new materials. This course is substantially differentiated from introductory materials courses by its very specific focus on materials whose use puts them in direct contact with physiological systems. Thus, the course begins with brief sections on inflammatory response, thrombosis, infection, and device failure. It then concentrates on developing the fundamental materials science and engineering concepts underlying the structure-property relationships in both synthetic and natural polymers, metals and alloys, and ceramics relevant to in vivo medical-device technology.
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The course covers recent advances in macromolecular science, including polyelectrolytes and water-soluble polymers, synthetic and biological macromolecules at surfaces, self-assembly of synthetic and biological macromolecules, and polymers for biomedical applications.
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Topics at the interface of polymer chemistry and biomedical sciences, focusing on areas where polymers have made a particularly strong contribution, such as in biomedical sciences and pharmaceuticals . Synthesis and properties of biopolymers; biomaterials; nanotechnology smart polymers; functional applications in biotechnology, tissue and cell engineering; and biosensors and drug delivery.
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This course will provide a comprehensive introduction to the rapidly developing field of nanomedicine and discuss the application of nanoscience and nanotechnology in medicine such as, in diagnosis, imaging and therapy, surgery, and drug delivery.
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A survey course covering the chemical,
biological and material science aspects
of interfacial phenomena. Applications
to adhesion, biomembranes, colloidal
stability, detergency, lubrication, coatings, fibers and powders - where surface properties play an important role.
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| | | (3-0-3) (Lec-Lab-Credit Hours)
This course will provide a comprehensive introduction to the rapidly developing field of nanomedicine and discuss the application of nanoscience and nanotechnology in medicine such as, in diagnosis, imaging and therapy, surgery, and drug delivery.
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This advanced course covers the mechanism and biological role of signal transduction in mammalian cells. Topics included are extracellular regulatory signals, intracellular signal transduction pathways, role of tissue context in the function of cellular regulation, and examples of biological processes controlled by specific cellular signal transduction pathways.
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This course is intended to introduce the concept of electronic energy band engineering for device applications. Topics to be covered are electronic energy bands, optical properties, electrical transport properties of multiple quantum wells, superlattices, quantum wires, and quantum dots; mesoscopic systems, applications of such structures in various solid state devices, such as high electron mobility, resonant tunneling diodes, and other negative differential conductance devices, double-heterojunction injection lasers, superlattice-based infrared detectors, electron-wave devices (wave guides, couplers, switching devices), and other novel concepts and ideas made possible by nano-fabrication technology. Fall semester. Typical text: M. Jaros, Physics and Applications of Semiconductor Microstructures; G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures.
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This course deals with the principles of light interactions with biological and biomedical-relevant systems. The enabling aspects of nanotechnology for advanced biosensing, medical diagnosis, and therapeutic treatment will be discussed.
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| This graduate course will introduce the applications of multiscale theory and computational techniques in the fields of materials and mechanics. Students will obtain fundamental knowledge on homogenization and heterogeneous materials, and be exposed to various sequential and concurrent multiscale techniques. The first half of the course will be focused on the homogenization theory and its applications in heterogeneous materials. In the second half multiscale computational techniques will be addressed through multiscale finite element methods and atomistic/continuum computing. Students are expected to develop their own course projects based on their research interests and the relevant topics learned from the course.
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This graduate course will introduce the applications of multiscale theory and computational techniques in the fields of materials and mechanics. Students will obtain fundamental knowledge on homogenization and heterogeneous materials, and be exposed to various sequential and concurrent multiscale techniques. The first half of the course will be focused on the homogenization theory and its applications in heterogeneous materials. In the second half multiscale computational techniques will be addressed through multiscale finite element methods and atomistic/continuum computing. Students are expected to develop their own course projects based on their research interests and the relevant topics learned from the course.
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Progress in the technology of nanostructure growth; space and time scales; quantum confined systems; quantum wells, coupled wells, and superlattices; quantum wires and quantum dots; electronic states; magnetic field effects; electron-phonon interaction; and quantum transport in nanostructures: Kubo formalism and Butikker-Landau formalism; spectroscopy of quantum dots; Coulomb blockade, coupled dots, and artificial molecules; weal localization; universal conductance fluctuations; phase-breaking time; theory of open quantum systems: fluctuation-dissipation theorem; and applications to quantum transport in nanostructures.
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| Physics & Engineering Physics |
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A review course in the fundamentals of physics, especially in mechanics and electromagnetism; dynamics of a particle; systems of particles and their conservation laws; motion of a rigid body; electrostatics, magnetic fields, and currents; and electromagnetic induction.. Prerequisites: introductory mechanics and electromagnetism courses which employ calculus and vector analysis. Typical text: Halliday, Resnick, and Walker, Fundamentals of Physics. No credit for Physics or Engineering Physics majors.
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Electrolysis, Brownian motion; charge and mass of electrons and ions; Zeeman effect; photoelectric effect; reflection, refraction, diffraction, absorption, and scattering of X-rays; Compton effect; diffraction of electrons; uncertainty principle; electron optics; Bohr theory of atom; atomic spectra and electron distribution; radioactivity; disintegration of nuclei; nuclear processes; nuclear energy; and fission. No credit for Physics majors. Typical text: Weidner and lls, Elementary Modern Physics.
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Description of simple physical models which account for electrical conductivity and thermal properties of solids. Basic crystal lattice structures, X-ray diffraction and dispersion curves for phonons and electrons in reciprocal space. Energy bands, Fermi surfaces, metals, insulators, semiconductors, superconductivity and ferromagnetism. Fall semester. Typical text: Kittel, Introduction to Solid State Physics.
Prerequisites:
PEP 242 Modern Physics
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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Electromagnetism
(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
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Theories of the universe, general relativity, Big Bang cosmology, and the inflationary universe; and elementary particle theory and nucleosynthesis in the early universe. Observational cosmology; galaxy formation and galactic structure; and stellar evolution and formation of the elements. White dwarfs, neutron stars and black holes, planetary systems, and the existence of life in the universe.
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An overview of microelectronics and Photonics science and technology. It provides the student who wishes to be engaged in design, fabrication, integration, and applications in these areas with the necessary knowledge of how the different aspects are interrelated.
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The general study of field phenomena; scalar and vector fields and waves; dispersion phase and group velocity; interference, diffraction and polarization; coherence and correlation; geometric and physical optics. Typical text: Hecht and Zajac, Optics. Spring semester.
Prerequisites:
PEP 542 Electromagnetism
(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
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| | (3-0-3) (Lec-Lab-Credit Hours)
The course is designed to familiarize students with a range of optical instruments and their applications. Included will be the measurement of aberrations in optical systems, thin-film properties, Fourier transform imaging systems, nonlinear optics, and laser beam dynamics. Fall semester.
Prerequisites:
PEP 509 Intermediate Waves and Optics
(3-0-3)(Lec-Lab-Credit Hours)
The general study of field phenomena; scalar and vector fields and waves; dispersion phase and group velocity; interference, diffraction and polarization; coherence and correlation; geometric and physical optics. Typical text: Hecht and Zajac, Optics. Spring semester.
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Historical introduction; radioactivity; laws of statistics of radioactive decay; alpha decay; square well model; gamma decay; beta decay; beta energy spectrum; neutrinos; nuclear reactions; relativistic treatment; semiempirical mass formula; nuclear models; uranium and the transuranic elements; fission; and nuclear reactors.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course will cover topics encompassing the fundamental subject matter for the design of optical systems. Topics will include optical system analysis, optical instrument analysis, applications of thin-film coatings and opto-mechanical system design in the first term. The second term will cover the subjects of photometry and radiometry, spectrographic and spectrophotometric systems, infrared radiation measurement and instrumentation, lasers in optical systems and photon-electron conversion. Typical texts: Military Handbook 141 (U.S. Govt. Printing Office); S.P.I.E Reprint Series (Selected Issues); W.J. Smith, Modern Optical Engineering .
Prerequisites:
PEP 209 Modern Optics
(3-0-3)(Lec-Lab-Credit Hours)
Concepts of geometrical optics for reflecting and refracting surfaces, thin and thick lens formulations, optical instruments in modern practice, interference, polarization and diffraction effects, resolving power of lenses and instruments, X-ray diffraction, introduction to lasers and coherent optics, principles of holography, concepts of optical fibers, optical signal processing. Fall semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course will cover topics encompassing the fundamental subject matter for the design of optical systems. Topics will include optical system analysis, optical instrument analysis, applications of thin-film coatings and opto-mechanical system design in the first term. The second term will cover the subjects of photometry and radiometry, spectrographic and spectrophotometric systems, infrared radiation measurement and instrumentation, lasers in optical systems and photon-electron conversion. Typical texts: Military Handbook 141 (U.S. Govt. Printing Office); S.P.I.E Reprint Series (Selected Issues); W.J. Smith, Modern Optical Engineering .
Prerequisites:
PEP 515 Photonics I
(3-0-3)(Lec-Lab-Credit Hours)
This course will cover topics encompassing the fundamental subject matter for the design of optical systems. Topics will include optical system analysis, optical instrument analysis, applications of thin-film coatings and opto-mechanical system design in the first term. The second term will cover the subjects of photometry and radiometry, spectrographic and spectrophotometric systems, infrared radiation measurement and instrumentation, lasers in optical systems and photon-electron conversion. Typical texts: Military Handbook 141 (U.S. Govt. Printing Office); S.P.I.E Reprint Series (Selected Issues); W.J. Smith, Modern Optical Engineering .
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Both numerical techniques and the elements of continuum mechanics are covered. Numerical methods for integrating Newton’s laws, the heat equation, Poisson’s equation, and the fluid flow are discussed. Topics also covered: discrete Fourier transform technique, stability theory and the diagonalization of matrices, and Monte Carlo methods. Course project offers students the opportunity to learn specialized techniques in areas of interest. Spring semester. Typical text: Potter, Computational Physics.
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| | (3-0-3) (Lec-Lab-Credit Hours)
A phenomenological and theoretical introduction to the field of surface science, including experimental techniques and engineering applications. Topics will include: thermodynamics and structure of surfaces, surface diffusion, electronic properties and space-charge effects, physisorption, and chemisorption. Spring semester. Alternate years.
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Lectures, demonstrations, and laboratory experiments, selected from among the following topics, depending on student interest: vacuum technology; thin-film preparation; scanning electron microscopy; infrared spectroscopy and ellipsometry; electron spectroscopy; Auger, photoelectron, and LEED; ion spectroscopies; SIMS, IBS, and field emission; surface properties-area, roughness, and surface tension. Alternate years.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Vector and tensor fields and transformation properties under rotation of axes, vector identities, gradient, divergence, curl, tensor contraction, geometric interpretation of symmetric and antisymmetric tensors, divergence-Gauss' theorem for tensor fields and Stokes' theorem, Helmholtz' theorem, and scalar and vector potentials; applications to inertia tensor, particle mechanics, transport, electromagnetism (Maxwell's equations), and viscous fluid dynamics (the Navier-Stokes equation, Euler equation, and the Bernoulli equation); introduction to the Dirac delta-function and Green’s function technique for solving linear inhomogeneous equations; orthogonal curvilinear coordinates (general, also spherical and cylindrical); n-dimensional complex space and unitarity, matrix notation, inverse of matrix, Pauli spin matrices, relativity, and Lorentz transformation; tensors and pseudotensors in n-dimensions; similarity transformations and diagonalization of hermitian and unitary matrices, eigenvectors, and eigenvalues of hermitian and unitary matrices, and Schmidt orthogonalization; applications to coupled oscillators, rigid body dynamics, etc.; linear independence and completeness; and functions of a complex variable, analyticity, Cauchy’s theorem, Residue theorem, Taylor and Laurent expansions, classification of singularities, analytic continuation, Liouville’s theorem, multiple-valued functions, contour integration, Jordan’s lemma, applications, and asymptotics. Fall Semester. Prerequisites: four semesters and undergraduate math courses.
Prerequisites:
MA 227 Multivariable Calculus
(3-0-3)(Lec-Lab-Credit Hours)
Review of matrix operations, Cramer’s rule, row reduction of matrices; inverse of a matrix, eigenvalues and eigenvectors; systems of linear algebraic equations; matrix methods for linear systems of differential equations, normal form, homogeneous constant coefficient systems, complex eigenvalues, nonhomogeneous systems, the matrix exponential; double and triple integrals; polar, cylindrical and spherical coordinates; surface and line integrals; integral theorems of Green, Gauss and Stokes. Engineering curriculum requirement.
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Introduction to Hilbert space, function vectors, completeness in the strong and weak senses, expansion in complete orthonormal sets of functions, and Schmidt orthgonalization. The Weierstrass theorem and completeness of eigenfunctions of a hermitian operator; dirac/dyadic notation. Legendre polynomials, spherical harmonics, Fourier series and integral, Laplace transform, and multipole expansion. Ordinary differential equations, and ordinary point and iteration series solution and power series method, Hermite equation, Schrödinger equation for harmonic oscillator. Regular singular point and the method of Frobenius, including the second solution, and Bessel equation. Sturm-Liouville systems and weighted complete orthonormal sets of eigenfunctions, and Green’s function determination and solution of the inhomogeneous problem. Partial differential equations, heat equation, wave equation, Poisson equation, solution by transform techniques, and Green’s function solution of inhomogeneous initial value and boundary value problems. Linear integral equations, iteration series solution, convergence, Kernels separable in several parts, Hilbert-Schmidt theory, Fredholm theory, and Volterra equation. Spring semester.
Prerequisites:
PEP 527 Mathematical Methods for Physics and Engineering I
(3-0-3)(Lec-Lab-Credit Hours)
Vector and tensor fields and transformation properties under rotation of axes, vector identities, gradient, divergence, curl, tensor contraction, geometric interpretation of symmetric and antisymmetric tensors, divergence-Gauss' theorem for tensor fields and Stokes' theorem, Helmholtz' theorem, and scalar and vector potentials; applications to inertia tensor, particle mechanics, transport, electromagnetism (Maxwell's equations), and viscous fluid dynamics (the Navier-Stokes equation, Euler equation, and the Bernoulli equation); introduction to the Dirac delta-function and Green’s function technique for solving linear inhomogeneous equations; orthogonal curvilinear coordinates (general, also spherical and cylindrical); n-dimensional complex space and unitarity, matrix notation, inverse of matrix, Pauli spin matrices, relativity, and Lorentz transformation; tensors and pseudotensors in n-dimensions; similarity transformations and diagonalization of hermitian and unitary matrices, eigenvectors, and eigenvalues of hermitian and unitary matrices, and Schmidt orthogonalization; applications to coupled oscillators, rigid body dynamics, etc.; linear independence and completeness; and functions of a complex variable, analyticity, Cauchy’s theorem, Residue theorem, Taylor and Laurent expansions, classification of singularities, analytic continuation, Liouville’s theorem, multiple-valued functions, contour integration, Jordan’s lemma, applications, and asymptotics. Fall Semester. Prerequisites: four semesters and undergraduate math courses.
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Particle motion in one dimension. Simple harmonic oscillators. Motion in two and three dimensions, kinematics, work and energy, conservative forces, central forces, and scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, and normal modes. Lagrange’s equations and applications to simple systems. Introduction to moment of inertia tensor and to Hamilton’s equations.
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Charged particle motions in electric and magnetic fields; electron and ion optics; charged particle velocity and mass spectrometry; electron and ion beam confinement; thermionic emission; the Pierce gun; field emission; secondary emission; photoelectric effect; sputtering; surface ionization; volume ionization; and Townsend discharge. Typical text: Beck and Ahmed, An Introduction to Physical Electronics.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Charged particle motion in electric and magnetic fields; electron and ion emission; ion-surface interaction; electrical breakdown in gases; dark discharges and DC glow discharges; confined discharge; AC, RF, and microwave discharges; arc discharges, sparks, and corona discharges; non-thermal gas discharges at atmospheric pressure; and discharge and low-temperature plasma generation. Typical texts: J.R. Roth, Industrial Plasma Engineering: Principles, Vol. 1, and Y.P. Raizer, Gas Discharge Physics.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Plasmas in nature and application of plasma physics; single particle motion; plasma fluid theory; waves in plasmas; diffusion and resistivity; equilibrium and stability; nonlinear effects and thermonuclear reactions; the Lawson condition; magnetic confinement fusion; and laser fusion. Fall semester. Typical text: F.Chen, Plasma Physics.
Prerequisites:
PEP 542 Electromagnetism
(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics; Coulomb-Gauss law; Poisson-Laplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Basic plasma physics; some atomic processes; and plasma diagnostics. Plasma production; DC glow discharges and RF glow discharges; magnetron discharges. Plasma-surface interaction; sputter deposition of thin films; reactive ion etching, ion milling, and texturing; electron beam-assisted chemical vapor deposition; and ion implantation. Sputtering systems; ion sources; electron sources; and ion beam handling. Typical texts: Chapman, Glow Discharge Processes; Brodie, Muray, The Physics of Micro-fabrication. Fall semester.
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Description of principle flow phenomena: pipe and channel flows, laminar flow, transition, and turbulence; flow past an object-boundary layer, wake, separation, vortices, and drag; convection in horizontal layers-conduction, convection, and transition from periodic to chaotic behavior. Equations of motion; dynamical scaling; simple viscous flows; inviscid flow; boundary layers, drag, and lift; thermal flows; flow in rotating fluids; hydro-dynamic stability; and transitions to turbulence. Typical text: Tritton, Physical Fluid Dynamics.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course is an introduction to Schrödinger wave mechanics for students in physics and engineering, with an emphasis on engineering applications. This is a required course for all physics undergraduates, as well as students in the Microelectronics and Photonics M.S./M.E. degree program and other professional M.S./M.E. degree programs. Topics discussed include one-dimensional infinite and finite quantum wells, barrier penetration and scattering in one dimension, linear harmonic oscillator, Kronig-Penney model, angular momentum, central force problems, including the hydrogen atom, and spin. Typical texts: Introductory Quantum Mechanics by R. L. Liboff and Quantum Mechanics Fundamentals and Applications to Technology by J. Singh.
Prerequisites:
Ma 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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Modern Physics
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
Prerequisites:
PEP 538 Introduction to Mechanics
(3-0-3)(Lec-Lab-Credit Hours)
Particle motion in one dimension. Simple harmonic oscillators. Motion in two and three dimensions, kinematics, work and energy, conservative forces, central forces, and scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, and normal modes. Lagrange’s equations and applications to simple systems. Introduction to moment of inertia tensor and to Hamilton’s equations.
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Introduction to Quantum Mechanics
(3-0-3)(Lec-Lab-Credit Hours)
This course is an introduction to Schrödinger wave mechanics for students in physics and engineering, with an emphasis on engineering applications. This is a required course for all physics undergraduates, as well as students in the Microelectronics and Photonics M.S./M.E. degree program and other professional M.S./M.E. degree programs. Topics discussed include one-dimensional infinite and finite quantum wells, barrier penetration and scattering in one dimension, linear harmonic oscillator, Kronig-Penney model, angular momentum, central force problems, including the hydrogen atom, and spin. Typical texts: Introductory Quantum Mechanics by R. L. Liboff and Quantum Mechanics Fundamentals and Applications to Technology by J. Singh.
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Kinetic theory: ideal gases, distribution functions, Maxwell-Boltzmann distribution, Boltzmann equation, H-theorem and entropy, and simple transport theory. Thermodynamics: review of first and second laws, thermodynamic potentials, Legendre transformation, and phase transitions. Elementary statistical mechanics: introduction to microcanonical, canonical, and grand canonical distributions, partition functions, simple applications, including ideal Maxwell-Boltzmann, Einstein-Bose, and Fermi-Dirac gases, paramagnetic systems, and blackbody radiation. Typical text: Reif, Statistical and Thermal Physics.Fall semester.
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Interference phenomena in electromagnetism and quantum mechanics; interaction of light and matter, principles of coherent control; adaptive and optimal algorithms; Rabi flopping in two-level systems; control of three-level systems including STRIRAP and electromagnetically induced transparency; tools for quantum control; various current and proposed applications.
Prerequisites:
PEP 553 Introduction to Quantum Mechanics
(3-0-3)(Lec-Lab-Credit Hours)
This course is an introduction to Schrödinger wave mechanics for students in physics and engineering, with an emphasis on engineering applications. This is a required course for all physics undergraduates, as well as students in the Microelectronics and Photonics M.S./M.E. degree program and other professional M.S./M.E. degree programs. Topics discussed include one-dimensional infinite and finite quantum wells, barrier penetration and scattering in one dimension, linear harmonic oscillator, Kronig-Penney model, angular momentum, central force problems, including the hydrogen atom, and spin. Typical texts: Introductory Quantum Mechanics by R. L. Liboff and Quantum Mechanics Fundamentals and Applications to Technology by J. Singh.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course introduces fundamentals of semiconductors and basic building blocks of semiconductor devices that are necessary for understanding semiconductor device operations. It is for first-year graduate students and upper-class undergraduate students in electrical engineering, applied physics, engineering physics, optical engineering and materials engineering, who have no previous exposure to solid state physics and semiconductor devices. Topics covered will include description of crystal structures and bonding; introduction to statistical description of electron gas; free-electron theory of metals; motion of electrons in periodic lattice-energy bands; Fermi levels; semiconductors and insulators; electrons and holes in semiconductors; impurity effects; generation and recombination; mobility and other electrical properties of semiconductors; thermal and optical properties; p-n junctions; metal-semiconductor contacts.
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| | (3-0-3) (Lec-Lab-Credit Hours)
This course introduces operating principles and develops models of modern semiconductor devices that are useful in the analysis and design of integrated circuits. Topics covered include: charge carrier transport in semiconductors; diffusion and drift, injection, and lifetime of carriers; p-n junction devices; bipolar junction transistors; metal-oxide-semiconductor field effect transistors; metal-semiconductor field effect transistors and high electron mobility transistors, microwave devices; light emitting diodes, semiconductor lasers, and photodetectors; and integrated devices.
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| | (3-0-3) (Lec-Lab-Credit Hours)
Review of electromagnetic theory; derivation of Fresnels’ equations; guided-wave propagation by metallic and dielectric waveguides, including step-index optical fibers and graded-index fibers; optical transmission systems; and nonlinear effects in optical fibers, solitons, and fiber-optic gyroscope.
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This course treats scattering, absorption and emission of electromagnetic radiation in planetary media. The radiative transfer equation is derived, approximate solutions are found. Important heuristic models (Lorentz atom, two-level atom, vibrating rotator) as well as fundamental concepts are discussed including reflectance, absorptance, emittance, radiative warming/cooling rates, actinic radiation, photolysis and biological dose rates. A unified treatment of radiative transfer within the atmosphere and ocean is provided, and extensive use of two-stream and approximate methods is emphasized. Applications to the climate problem focus on the role of greenhouse gases, aerosols and clouds in explaining the temperature structure of the atmosphere and the equilibrium temperature of the earth. The course is suitable for beginning graduate and upper-level undergraduate students.
Prerequisites:
Ma 221 Differential Equations
(4-0-4)(Lec-Lab-Credit Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
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Modern Physics
(3-0-3)(Lec-Lab-Credit Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester.
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An introductory course to the theory of lasers; treatment of spontaneous and stimulated emission, atomic rate equations, laser oscillation conditions, power output and optimum output coupling; CW and pulsed operation, Q switching, mode selection and frequency stabilization; excitation of lasers, inversion mechanisms and typical efficiencies; detailed examination of principal types of lasers: gaseous, solid state and liquid; high power chemical, dye lasers, TEA lasers, gas dynamic lasers. Design and operation of semiconductor DFB, quantum well, quantum dot; argon ion, helium neon, carbon dioxide, Nd:YAG, diode-pumped fiber lasers. Parametric frequency conversion.Textbook: Svelto, Principles of Lasers, Fourth Edition.
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Integrated optics, nonlinear optics, Pockels effect, Kerr effect, harmonic generation, parametric devices, phase conjugate mirrors, and phase matching. Coherent and incoherent detection, Fourier optics, image processing and holography, and Gaussian optics. Detection of light, signal to noise, PIN and APD diodes, and optical communication. Scattering of light, Rayleigh, Mie, Brillouin, Raman, and Doppler shift scattering. Spring semester.
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Electronic, magnetic, optical, and thermal properties of materials, the description of these properties based on solid state physics. Description and principles of operation of devices. Spring semester.
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Physical design of wireless communication systems, emphasizing present and next-generation architectures; impact of non-linear components on performance; noise sources and effects; interference; optimization of receiver and transmitter architectures; individual components(LNAs, power amplifiers, mixers, filters, VCOs, phase-locked loops, frequency synthesizers, etc.); digital signal processing for adaptable architectures; analog-digital converters; new component technologies (SiGe, MEMS, etc.); specifications of component performance; reconfigurability and the role of digital signal processing in future generation architectures; direct conversion; RF packaging; and minimization of power dissipation in receivers.
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Treatment of the electrical, chemical, environmental, and mechanical driving forces that compromise the integrity and lead to the failure of devices. Both chip and packaging level failures will be modeled and quantified statistically. On the packaging level, thermal stresses, solder creep, fatigue and fracture, contact relaxation, corrosion and environmental degradation will be treated. Additional topics include strategies to enhance reliability, the roles of defects, yield modeling, testing, and failure mode analysis.
Prerequisites:
PEP 507 Introduction to Microelectronics and Photonics
(3-0-3)(Lec-Lab-Credit Hours)
An overview of microelectronics and Photonics science and technology. It provides the student who wishes to be engaged in design, fabrication, integration, and applications in these areas with the necessary knowledge of how the different aspects are interrelated.
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Discussions of aspects of the technology of processing procedures involved in the fabrication of microelectronic devices and microelectromechanical systems (MEMS). Topics with respect to IC fabrication include crystal growth, epitaxy, silicon oxide growth, impurity doping, ion implantation, photo and electron beam lithography, etching, sputtering, thin film metallization, passivation and packaging. Students will also learn that MEMS are sensors and actuators that are designed using different areas of engineering disciplines and they are constructed using a microlithographically-based manufacturing process in conjunction with both semiconductor and micromachining microfabrication technologies.
Prerequisites:
PEP 507 Introduction to Microelectronics and Photonics
(3-0-3)(Lec-Lab-Credit Hours)
An overview of microelectronics and Photonics science and technology. It provides the student who wishes to be engaged in design, fabrication, integration, and applications in these areas with the necessary knowledge of how the different aspects are interrelated.
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Motion of charged particles in electromagnetic field; Boltzmann equation for plasma; properties of magnetoplasmas; and fundamentals of magnetohydrodynamics. Applications to include: mirror geometry, high frequency confinement, plasma confinement, and heating by means of magnetic fields; motion of plasmas along and across magnetic field lines; magnetohydrodynamic stability theory; plasma oscillations; microinstabilities waves in magnetoplasma; dispersion relations; Fokker-Planck equation for plasmas; plasma conductivity; runaway electrons; relaxation times; radiation phenomena in magnetoplasmas; stability theories; finite Larmor radius stabilization; minimum-B stability; and universal instabilities. Typical text: Schmidt, Physics of High Temperature Plasmas. Fall semester.
Prerequisites:
PEP 555
(3-0-3)(Lec-Lab-Credit Hours)
Kinetic theory: ideal gases, distribution functions, Maxwell-Boltzmann distribution, Boltzmann equation, H-theorem and entropy, and simple transport theory. Thermodynamics: review of first and second laws, thermodynamic potentials, Legendre transformation, and phase transitions. Elementary statistical mechanics: introduction to microcanonical, canonical, and grand canonical distributions, partition functions, simple applications, including ideal Maxwell-Boltzmann, Einstein-Bose, and Fermi-Dirac gases, paramagnetic systems, and blackbody radiation. Typical text: Reif, Statistical and Thermal Physics.Fall semester.
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(3-0-3)(Lec-Lab-Credit Hours)
Lagrangian and Hamiltonian formulations of mechanics, rigid body motion, elasticity, mechanics of continuous media, small vibration theory, special relativity, canonical transformations, and perturbation theory. Typical text: Goldstein, Classical Mechanics.
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(3-0-3)(Lec-Lab-Credit Hours)
Electrostatics, boundary value problems, Green’s function techniques, methods of image, inversion, and conformal mapping; multipole expansion. Magnetostatics, vector potential. Maxwell’s equations and conservation laws. Electromagnetic wave propagation in media. Crystal optics. Fall semester. Typical texts: Jackson, Classical Electrodynamics; Landau and Lifshitz, Electrodynamics in Continuous Media.
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