Electromagnetic Heterostructures

Part 1. Elementary concepts and definitions
1. Maxwell equations and basic electromagnetic theory
2. Polarization in a static electric field
3. Polarization and permittivity in an alternating electric field

Part 2. Analytical approaches
4. Prelude: A historical examination
5. Some preliminary considerations
6. Mixing laws
7. Effective-medium approximation: its basis and formulation
8. Bounds for the homogenization of dielectric composite materials
9. Percolation: Crossing the great divide of bulk heterogeneous matter
10. Reciprocity relations and extensions

Part 3. Computational approaches
11. Some preliminary considerations: the problem in context
12. Finite differences method
13. Finite-difference time-domain propagation
14. Finite element method
15. Integral equation approaches
16. Monte Carlo method
17. Other selected methods