Print Email Facebook Twitter On the effective permittivity of finite inhomogeneous objects Title On the effective permittivity of finite inhomogeneous objects Author Raghunathan, S.B. Contributor Budko, N.V. (mentor) Faculty Electrical Engineering, Mathematics and Computer Science Date 2008-09-23 Abstract 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. Subject effective inversioninhomogeneouseffective permittivityphotonic crystalnegative permittivity To reference this document use: http://resolver.tudelft.nl/uuid:acf11f8a-631b-4069-94fe-89bf746fdee1 Publisher TU Delft, Electrical Engineering, Mathematics and Computer Science, Telecommunications Part of collection Student theses Document type master thesis Rights (c) 2008 S.B. Raghunathan Files PDF ewi_2008_Raghunathan.pdf 1.53 MB Close viewer /islandora/object/uuid:acf11f8a-631b-4069-94fe-89bf746fdee1/datastream/OBJ/view