Sinteticos F

This course covers: equation parameter normalization and scaling, orthogonal polynomials, adaptive methods, multidimensional integration, Newton-Rapson method, globally convergent methods, solving ordinary differential equations, particular methods for solving the wave equation and heat transfer.

R. Burden, J.Faires, Numerical análisis, ITP
M. Chari, Numerical Methods in electromagnestism, 2000, Academic Press

The course objective is to introduce the student to the digital and optical techniques for processing images with emphasis in practical algorithms focused to enhancement, restoration, reconstruction and analysis of images. The most common optical arrays are also covered in this course. The topics are: Mathematical basics for image processing, image transformation, image enhancement, image segmentation, representation and description, Fresnel and Fraunhofer diffraction and optical image processing.

Introduction to Fourier Optics. Joseph W. Goodman.
Optica. Hecht-Zajac. · Digital Image Processing. González, Rafael C.
Digital Image Processing, Kenneth R. Castleman.

Professor background: Ph.D. in electrical engineering, physics or telecommunications. Industry experience or research experience in the optics area or the telecommunications area or other related areas.

The course objective is to study the propagation and attenuation phenomena in optical fibers focusing on the communications applications. The topics covered are: introduction, electrostatics, magnetostatics, Maxwell equations, electrodynamics, wave equation, reflection and transmission, metallic wave guides, resonance, Gauge transformations, delayed potentials, radiation and antennas, introduction to FO, FO propagation, dispersion, attenuation, connectors and measurements.

J. Marion, Classical Electromagnetic radiation, Academic Press.
J. D. Jackson, Classical Electrodynamics, John Wiley & Sons
G. Keiser, Optical Fiber Communications, McGraw Hill.
D.J. Griffiths, 'Introduction to Electrodynamics', Prentice Hall, 3rd ed., 1999

The course objective is to introduce the student to the design and development of optical systems with industrial applications. The topics of the course are: radiation sources, interferometrics, optical metrology and instrumentation.

A. Siegman, Lasers, University Science Books. E. Hecht, Optics, Addison Wesley
D. Malacara, Optical Shop Testing, John Wiley & Sons.

The course objective is to provide the student with a general vision of the physics principles that determine the electronic devices behavior. The course topics are: quantum physics elements, statistical physics elements, semiconductor physics: static and dynamic properties, interfaces and junctions, crystalline structure of solids, electronic properties.

R. Eisberg, R. Resnick, Física cuántica, Limusa.
C. Kittel, Introduction to solid state physics, John Wiley & Sons.
S. Sze, Physics of semiconductors devices, John Wiley & Sons.
S. Sze, Modern Semiconductor Device Physics, John Wiley & Sons.
Electronic Materials and Devices, David H. Navon, Houghton Mifflin Company, 1975.
Quantum Electronics, Amnon Yariv, John Wiley & Sons, 3rd. Edition, 1989.

Ph.D. in electrical engineering, physics. Industry experience or research experience in the areas of physics, analog electronics and VLSI.

General aim of the course:To introduce the approximated methods in non relativistic quantum mechanics and their applications in atomic physics and quantum optics.

Bibliography:Cohen - Tannoudji, C., Diu, B., Leloë, F., Quantum
mechanics, vol. 1 y 2, John Wiley & Sons (1977)
Sakurai, J., Modern quantum mechanics, Addison - Wesley (1994).
Landau, L., Lifshitz, E., Mecánica cuántica no relativista, Reverté (1967)
Tinkham, M., Group theory and quantum mechanics, McGraw Hill (1964)
Lipkin, H., Lie group for pedestrian, Dover (2002)
Instructor's profile:Ph. D. in Physics
Language of Instruction:Spanish & English

Academic department:Department of Physics
Units:3-0-12
Requirement:None
Semester and career: MSE, DTC
Equivalence:None

General aim of the course:The course objective is to introduce the student in the techniques for Computer Generated Holography as a method for the synthesis of amplitude and phase signal distributions. The emphasis is in an optimized holographic code implemented with liquid crystal spatial light modulators. The topics of the course are: Fourier Analysis, Techniques for Computer Generated Holography, Lohmann "Detour" holography, On-axis holography based on low resolution liquid crystal spatial light modulators.

Bibliography:

1) Lee W. H., Computer Generated Holograms: Techniques and Applications, Progress in Optics, Vol. 16, ed E. Wolf (North Holland Amsterdam) pp. 119-232 (1978).
2) A. W. Lohmann and D. P. Paris, Appl. Opt. 6, 1739 (1967).
3) V. Arrizón, S. Kinne, and S. Sinzinger, "Efficient detour-phase encoding of one-dimensional multilevel phase diffractive elements", Appl. Opt. 37, 5454-5460 (1998).
4) V. Arrizón, "Optimum on-axis computer generated hologram encoded into low-resolution phase-modulation devices", Opt. Lett. 28, 2521-2523 (2003).

Instructor's profile:Doctor degree in Physics or Electrical Engineering. Research experience in the optics area. Language of Instruction:Spanish or English