SciPost Thesis Link
Title:  Quantum Optics and Multiple Scattering in Dielectrics  
Author:  Martijn Wubs  
As Contributor:  (not claimed)  
Type:  Ph.D.  
Field:  Physics  
Specialties: 


Approach:  Theoretical  
URL:  http://www.martijnwubs.nl/publications/Wubs_PhD_thesis_physics_2003.pdf  
Degree granting institution:  University of Amsterdam  
Supervisor(s):  Prof. dr. Ad Lagendijk. Cosupervisor: Dr. L.G. Suttorp  
Defense date:  20030611 
Abstract:
Outline of the thesis: Chapter 1 is an Introduction. In chapters 2 and 3, it is shown how a layered dielectric can be modelled as a crystal of infinitely thin planes. Multiplescattering theory is used to calculate the propagating and guided modes of this finite onedimensional photonic crystal. The formalism allows a relatively easy calculation of the Green function of such a structure. It is studied how the spontaneousemission rate of a radiating atom depends on the atomic position and dipole orientation. The subject of chapter 4 is the quantum optical description of light in inhomogeneous dielectrics, and the interaction of guest atoms with light. Starting from a minimalcoupling Lagrangian, a Hamiltonian is derived with multipolar interaction between light and the guest atoms. Special attention is paid to the derivation of Maxwellâ€™s equations after choosing a suitable gauge in which all (static and retarded) interactions between atoms are mediated by the electromagnetic field. Singleatom decay rates change in the presence of a dielectric, but also multiatom processes such as superradiance will be modified. This is the subject of chapter 5. The strength of the multiplescattering formalism lies in the fact that results can readily be generalized to more than one guest atom. This is shown in the canonical example of twoatom superradiance in an inhomogeneous dielectric. Finally, in chapter 6, the effects of material dispersion and absorption on spontaneousemission rates in a homogeneous dielectric are considered. In a dampedpolariton model for the dielectric, light is coupled to a material resonance, which in turn is coupled to a continuum into which electromagnetic energy can dissipate. The resulting complex dielectric function satisfies the KramersKronig relations, and the form of the Maxwell field operators justifies more phenomenological approaches. As an application, we study timedependent spontaneousemission rates near material resonances, where the optical density of states changes rapidly.