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.
This course is designed to build upon the core mathematics sequence and thus enable the student to fully utilize quantitative mathematical analysis in the junior and senior level courses in physics. Topics covered will include complex numbers and functions, linear algebra, vector calculus, Fourier series and integrals, special functions for mathematical physics, orthogonal function solutions to differential equations, and elements of tensor analysis. Special attention will be paid to the use of computer software packages to visualize mathematical functions and to solve physically interesting problems, although this is not a course in numerical methods. Students will be expected to attend class with laptop computers installed with appropriate software. (Currently Excel and Matlab are included with the standard laptop configuration, but the course will adapt to whatever packages are available for the class.) Fall Semester.
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. Close
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.
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.
Introduction to Microelectronics and Photonics (3-0-0)
(Lecture-Lab-Study 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. Close
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.
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. Close
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. Close
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 .
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. Close
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.
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 .
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 . Close
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.
