On the effective permittivity of finite inhomogeneous objects

On the effective permittivity of finite inhomogeneous objects

Raghunathan, S.B.

Budko, N.V. (mentor)

Electrical Engineering, Mathematics and Computer Science

2008-09-23

In colloidal chemistry, composite (meta)materials, photonics,geophysics and remote sensing, it is often desirable to treat an inhomogeneous object, as a homogeneous with an effective permittivity. At the moment, however, there is no general analytical method which estimates this effective permittivity for an arbitrary finite inhomogeneous scatterer. In this thesis, we study a general numerical method, which treats this problem from the inverse scattering point of view and, in principle, determines the effective permittivity of an arbitrary object at any given frequency. We apply this technique to a finite three-dimensional sample of a photonic crystal at different frequencies and compare the results with the predictions from the effective medium theory, the theory of periodic media, and previously known two-dimensional results.

effective inversion
inhomogeneous
effective permittivity
photonic crystal
negative permittivity

http://resolver.tudelft.nl/uuid:acf11f8a-631b-4069-94fe-89bf746fdee1

TU Delft, Electrical Engineering, Mathematics and Computer Science, Telecommunications

Student theses

master thesis

(c) 2008 S.B. Raghunathan