18.325 Topics in Applied Mathematics: Mathematical Methods in Nanophotonics, Fall 2005
Name
18-325Fall-2005/OcwWeb/Mathematics/18-325Fall-2005/CourseHome/index.htm
Size
13.39 KB
Format
HTML
Checksum (MD5)
76c7dda047f128cede0bdabe35b81714
Author(s)
Johnson, Steven G., 1973-
Alternative Title
Topics in Applied Mathematics: Mathematical Methods in Nanophotonics
Date Issued
December 2005
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.
Subjects
linear algebra
eigensystems for Maxwell's equations
symmetry groups
representation theory
Bloch's theorem
numerical eigensolver methods
time and frequency-domain computation
perturbation theory
coupled-mode theories
waveguide theory
adiabatic transitions
Optical phenomena
photonic crystals
band gaps
anomalous diffraction
mechanisms for optical confinement
optical fibers
integrated optical devices
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Persistent DSpace Link
