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/Rank1 Laminates

Lecture 20:
Hierarchical Laminates/Hilbert space formalism

Lecture 21:
Effective tensors using Hilbert space formalism

Lecture 22:
Transformationbased Cloaking in Electromagnetism

Lecture 23:
Transformationbased Cloaking continued

Lecture 24:
Willis equations for Elastodynamics
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