{"id":38,"date":"2017-08-24T15:22:27","date_gmt":"2017-08-24T22:22:27","guid":{"rendered":"https:\/\/live-optics-wp.pantheonsite.io\/ashoka\/?page_id=38"},"modified":"2022-11-18T06:34:02","modified_gmt":"2022-11-18T13:34:02","slug":"courses","status":"publish","type":"page","link":"https:\/\/wp.optics.arizona.edu\/ashoka\/courses\/","title":{"rendered":"Courses"},"content":{"rendered":"

The following courses are relevant to our research directions:<\/strong><\/span><\/p>\n

Optical Sciences<\/strong><\/span><\/p>\n

\n

OPTI 501<\/strong>:<\/span>\u00a0\u00a0\u00a0\u00a0 Electromagnetic Waves –<\/strong>\u00a0Vector fields, Maxwell’s equations, electromagnetic field energy, wave equation, polarized light, time average measurement, Fresnel equations, scalar and vector potentials, gauge transformations, dispersion, metal optics, crystal optics, dipole radiation, mathematical formalism of polarized light, guided waves.<\/p>\n

OPTI 502<\/strong>:<\/span>\u00a0\u00a0\u00a0\u00a0 Optical Design and Instrumentation I – <\/strong>Rays and wavefronts, Snell’s Law, mirror and prism systems, Gaussian imagery and cardinal points, paraxial ray tracing, stops and pupils, illumination systems, elementary optical systems, optical materials, dispersion, systems of thin prisms, system analysis using ray trace code, chromatic aberrations and achromatization, monochromatic aberrations, ray fans, spot diagrams, balancing of aberrations, aspheric systems.<\/p>\n

OPTI 505R<\/strong>:<\/span>\u00a0\u00a0 Diffraction and Interferometry<\/strong> – Interference and interferometry, concepts of coherence, holography, diffraction theory, Fraunhofer and Fresnel diffraction, volume diffraction, Gaussian beam propagation, optical transfer function, speckle.<\/p>\n

OPTI 508<\/strong>:<\/span>\u00a0 \u00a0 \u00a0Probability and Statistics in Optics<\/strong> – Probability theory, stochastic processes, noise, statistical optics, information theory, hypothesis testing, estimation, restoration.<\/p>\n

OPTI 511R<\/strong>:\u00a0\u00a0 Laboratory – Optical Physics and Lasers<\/strong> – Fundamental concepts of quantum mechanics; application to model quantum systems; interaction of light with atoms; perturbation theory; two-level atom approximation; nonlinear optics; pulsed and CW laser operation; thermal sources; optical detectors.<\/span><\/span><\/p>\n

OPTI 512R<\/strong>:\u00a0 \u00a0Linear Systems and Fourier Transforms<\/strong> – Mathematical background, convolution, the Fourier transform, linear filtering and sampling, two-dimensional operations, diffraction, image formation.<\/span><\/span><\/p>\n

OPTI 636<\/strong>:<\/span> \u00a0\u00a0 \u00a0Noise in Imaging Systems\u00a0<\/strong>– Development of mathematical tools for describing stochastic processes in single optical detectors and complex imaging systems; understanding the effect of image processing and reconstruction algorithms on image noise; development of a quantitative approach to assessing and optimizing image quality.<\/p>\n

OPTI 637<\/strong>:<\/span>\u00a0\u00a0\u00a0 \u00a0Principles of Image Science\u00a0<\/strong>– Mathematical description of imaging systems and noise; introduction to inverse problems; introduction to statistical decision theory; prior information; image reconstruction and radon transform; image quality; applications in medical imaging; other imaging systems.<\/p>\n

<\/p>\n

Electrical and Computer Engineering<\/strong><\/span><\/p>\n

\n

ECE <\/span><\/span>537<\/strong>:<\/span>\u00a0 \u00a0 \u00a0Digital Communications Systems II\u00a0<\/strong>– Studying how to translate information into a digital signal to be transmitted, and how to retrieve the information from the received signal; study in-depth various digital modulation schemes through a concept of signal space; build analytical and simulation models for digital modulation systems in presence of noise, and define the performances of digital communication systems through a probability of reliable transmission of information; build optimal receiver models for digital base-band and band-pass modulation schemes, and introduce iterative decoding on graphs, iterative decoding on intersymbol interference channels and constrained coding.<\/p>\n

ECE <\/span><\/span>636<\/strong>:<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0Information Theory <\/strong>– Definition of a measure of information and study of its properties; introduction to entropy, mutual information, channel capacity, and rate-distortion theory.<\/p>\n

ECE <\/span><\/span>639<\/strong>:<\/span>\u00a0\u00a0\u00a0 \u00a0Detection and Estimation in Engineering Systems<\/strong> – Communication, detection and estimation as statistical inference problems. Optimal detection in the presence of Gaussian noise. Extraction of signals in noise via MAP and MMSE techniques.\u00a0Performance evaluation including Chernoff and\u00a0Cramer-Rao bounds.<\/p>\n","protected":false},"excerpt":{"rendered":"

The following courses are relevant to our research directions: Optical Sciences OPTI 501:\u00a0\u00a0\u00a0\u00a0 Electromagnetic Waves –\u00a0Vector fields, Maxwell’s equations, electromagnetic field energy, wave equation, polarized light, time average measurement, Fresnel equations, scalar and vector potentials, gauge transformations, dispersion, metal optics, crystal optics, dipole radiation, mathematical formalism of polarized light, guided waves. OPTI 502:\u00a0\u00a0\u00a0\u00a0 Optical Design and Instrumentation I – Rays<\/p>\n","protected":false},"author":77,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-fullwidth.php","meta":{"footnotes":""},"class_list":["post-38","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wp.optics.arizona.edu\/ashoka\/wp-json\/wp\/v2\/pages\/38","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.optics.arizona.edu\/ashoka\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.optics.arizona.edu\/ashoka\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/ashoka\/wp-json\/wp\/v2\/users\/77"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/ashoka\/wp-json\/wp\/v2\/comments?post=38"}],"version-history":[{"count":24,"href":"https:\/\/wp.optics.arizona.edu\/ashoka\/wp-json\/wp\/v2\/pages\/38\/revisions"}],"predecessor-version":[{"id":751,"href":"https:\/\/wp.optics.arizona.edu\/ashoka\/wp-json\/wp\/v2\/pages\/38\/revisions\/751"}],"wp:attachment":[{"href":"https:\/\/wp.optics.arizona.edu\/ashoka\/wp-json\/wp\/v2\/media?parent=38"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}