MATH 7875: Waves in Composites and Metamaterials
These lecture notes are based on a course given by
Prof. Grame Milton at the
University of Utah. My contribution has been to typeset the notes, draw
the figures, and work out the detials of most of the equations.
The entire set of lecture notes is now on Wikiversity. You can find them at
http://en.wikiversity.org/wiki/Waves_in_composites_and_metamaterials.
Please send an email to banerjee at [eng.utah.edu] if you find mistakes in
the notes.
-- Biswajit Banerjee - 18 Jan, 2008
Lecture 1:
Rainbows
Lecture 2:
Airy Theory
Lecture 3:
Maxwell's Equations in Media
Lecture 4:
Fresnel's Equations
Lecture 5:
Perfect Lenses and Negative Density Materials
Lecture 6:
Anisotropic Mass and Generalization
Lecture 7:
Elastodynamics and Electrodynamics
Lecture 8:
Acoustic Metamaterials and Negative Moduli
Lecture 9:
Fading Memory/Waves in Layered Media
Lecture 10:
Airy solution and WKB solution
Lecture 11:
TE waves in multilayered media
Lecture 12:
Continuum limit and propagator matrix
Lecture 13:
Waves in layered media and point sources
Lecture 14:
Point sources and EM vector potentials
Lecture 15:
Mie Theory and Bloch's Theorem
Lecture 16:
Bloch Waves and the Quasistatic Limit
Lecture 17:
Bloch Waves in Elastodynamics and Bubbly Fluids
Lecture 18:
Duality Relations/Phase Interchange Identity/Laminates
Lecture 19:
Backus Formula for Laminates/Rank-1 Laminates
Lecture 20:
Hierarchical Laminates/Hilbert space formalism
Lecture 21:
Effective tensors using Hilbert space formalism
Lecture 22:
Transformation-based Cloaking in Electromagnetism
Lecture 23:
Transformation-based Cloaking continued
Lecture 24:
Willis equations for Elastodynamics
Return to Home Page