18.325 Topics in Applied Mathematics: Mathematical Methods in Nanophotonics

Fall 2005

Photonic crystals periodic along one, two, or three dimensions.
Photonic crystals are arrangements of two or more dielectric media, periodic along one, two, or three dimensions. This is depicted schematically here by "red" and "yellow" materials arranged in simple 1d/2d/3d lattices from left to right. (Image by Prof. Johnson.)

Course Highlights

This course features a complete set of assignments, descriptions of student projects, and links to free software tools.

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.
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Prof. Steven Johnson

Course Meeting Times

Two sessions / week
1.5 hours / session