ECE 69500 - Waves in Composite Materials
Note:
Spring 2009 CRN 17339
Course Details
Lecture Hours: 3 Credits: 3
Counts as:
Experimental Course Offered:
Fall 2012
Requisites:
Graduate Standing or Consent of Instructor
Requisites by Topic:
Strong foundation in E&M
Catalog Description:
Nucleated from the contributions of Poisson, Faraday, Maxwell, Rayleigh and Einstein, the theory of composite materials has experienced an explosion of ideas in the last two decades, leading to a dramatic increase of our understanding between the properties of the individual constituents, the underlying microstructure of the composite, and its overall effective electrical, thermal and elastic properties. This course surveys these exciting developments at the frontiers of applied mathematics, theoretical physics, material science and electrical engineering.
Required Text(s):
- The Theory of Composites , Graeme Milton , Cambridge University Press , 2002 , ISBN No. 0-521-78125-6
Recommended Text(s):
- Research papers
Lecture Outline:
Lectures | Topics |
---|---|
2 | Electrodynamics vs. Elastodynamics |
2 | Homogenization: from intuitive viewpoint to effective tensors of composites |
2 | Space dispersion |
2 | Assemblages of spheres, ellipsoids, and other inclusions |
2 | Laminate materials |
2 | Wave propagation in the quasistatic limit |
2 | Waves in layered media: from transfer matrix to the continuum limit |
2 | Bloch waves in electrodynamics and elastodynamics |
2 | Variational principles in the theory of composites |
2 | Duality relations and exact solutions |
2 | Perturbative Solutions |
2 | Bounds on the properties of composites |
2 | Airy theory and WKB approximation |
2 | Applications of the theory of composites: strong anisotropy and negative index in optical metamaterials, negative moduli and anisotropic mass in acoustics, etc. |
2 | Presentation and discussion of projects |
Assessment Method:
none