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Abstract
Lightmatter interaction in nanostructured materials is studied theoretically with emphasis on spontaneous emission dynamics of quantum dots in photonic crystals. The main topics of the work are electromagnetic scattering calculations, decay dynamics of single quantum dots and multiple quantum dot dynamics.
The electromagnetic Green's tensor enters naturally in calculations of lightmatter interaction in multiple scattering media such as photonic crystals. We present a novel solution method to the LippmannSchwinger equation for use in electric field scattering calculations and Green's tensor calculations. The method is well suited for multiple scattering problems such as photonic crystals and may be applied to problems with scatterers of arbitrary shape and nonhomogeneous background materials.
By the introduction of a measure for the degree of fractional decay we quantify to which extent the effect is observable in a given material. We focus on the case of inverse opal photonic crystals and locate the position in the crystal where the effect is most pronounced. Furthermore, we quantify the influence of absorptive loss and give example calculations with experimental parameters for PbSe quantum dots in Si inverse opals showing that absorption has a limiting but not prohibitive effect. In addition, we discuss how the resonant nature of the phenomenon puts rather severe restrictions on the stabilization of the system in possible experiments.
Last, we examine the influence on the decay dynamics from other quantum dots. Using a selfconsistent Dyson equation approach we describe how scattering from other quantum dots can be included in the Green's tensor for a passive material system. We numerically calculate both local and nonlocal elements of the Green's tensor for a photonic crystallite slab and apply the method for an example calculation with two quantum dots at specific locations in the unit cell. In this way it is explicitly shown how the decay dynamics of one quantum dot is qualitatively changed by the scattering properties of another.
Original language  English 

Place of Publication  Kgs. Lyngby, Denmark 

Publisher  Technical University of Denmark 
Number of pages  170 
ISBN (Print)  8792062415 
Publication status  Published  Apr 2010 
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 1 Finished

Lightmatter Interaction in Nanostructured Materials
Kristensen, P. T., Mork, J., Lodahl, P., Breinbjerg, O., Busch, K. & Willatzen, M.
15/10/2006 → 21/04/2010
Project: PhD