| dc.contributor.author | Johnson, Steven G., 1973- | en_US |
| dc.coverage.temporal | Fall 2005 | en_US |
| dc.date.issued | 2005-12 | |
| dc.identifier | 18.325-Fall2005 | |
| dc.identifier | local: 18.325 | |
| dc.identifier | local: IMSCP-MD5-02b61215877a0bcad9315d46f2e859e7 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/45575 | |
| dc.description.abstract | Topics vary from year to year. Topic for Fall: Eigenvalues of random matrices. How many are real? Why are the spacings so important? Subject covers the mathematics and applications in physics, engineering, computation, and computer science. From the course home page: Course Description This course covers algebraic approaches to electromagnetism and nano-photonics. Topics include photonic crystals, waveguides, perturbation theory, diffraction, computational methods, applications to integrated optical devices, and fiber-optic systems. Emphasis is placed on abstract algebraic approaches rather than detailed solutions of partial differential equations, the latter being done by computers. | en_US |
| dc.language | en-US | en_US |
| dc.rights.uri | Usage Restrictions: This site (c) Massachusetts Institute of Technology 2003. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license"). The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions. | en_US |
| dc.subject | linear algebra | en_US |
| dc.subject | eigensystems for Maxwell's equations | en_US |
| dc.subject | symmetry groups | en_US |
| dc.subject | representation theory | en_US |
| dc.subject | Bloch's theorem | en_US |
| dc.subject | numerical eigensolver methods | en_US |
| dc.subject | time and frequency-domain computation | en_US |
| dc.subject | perturbation theory | en_US |
| dc.subject | coupled-mode theories | en_US |
| dc.subject | waveguide theory | en_US |
| dc.subject | adiabatic transitions | en_US |
| dc.subject | Optical phenomena | en_US |
| dc.subject | photonic crystals | en_US |
| dc.subject | band gaps | en_US |
| dc.subject | anomalous diffraction | en_US |
| dc.subject | mechanisms for optical confinement | en_US |
| dc.subject | optical fibers | en_US |
| dc.subject | integrated optical devices | en_US |
| dc.title | 18.325 Topics in Applied Mathematics: Mathematical Methods in Nanophotonics, Fall 2005 | en_US |
| dc.title.alternative | Topics in Applied Mathematics: Mathematical Methods in Nanophotonics | en_US |
| dc.type | Learning Object | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
