Projects per year
Abstract
From the work carried out within the ph.d. project two topics have been selected for this thesis, namely emission of radiation by sources in dielectric microstructures, and planar photonic crystal waveguides. The work done within the first topic, emission of radiation by sources in dielectric microstructures, will be presented in the part I of this thesis consisting of the chapters 25. An introductions is given in chapter 2. In part I three methods are presented for calculating spontaneous and classical emission from sources in dielectric microstructures. The first method presented in chapter 3 is based on the Fermi Golden Rule, and spontaneous emission from emitters in a passive dielectric microstructure is calculated by summing over the emission into each electromagnetic mode of the radiation field. This method is applied to investigate spontaneous emission in a twodimensional photonic crystal and photonic crystal microcavity. In chapter 4 a general theory based on a Green's tensor formalism is put forward for spontaneous emission in active dielectric microstructures, and an example is given whre the method is applied to a fiber amplifier. The Green's tensor in chapter 4 is constructed a a summation over a biorthogonal set of electromagnetic modes. An alternative method based on a LippmannSchwinger type integral equation is presented in chapter 5 for the construction of the Green's tensor and calculation of emission of radiation by sources. The integral equation approach is applied to calculate near fields and far fields generated by a dipole emitter in finitesized dielectric disks. A collection of results obtained within the second topic, planar photonic crystal waveguides, are presented in part II of this thesis consisting of the chapters 610. Chapter 6 contains a further introduction to the topic planar photonic crystal waveguides. Chapter 7 contains fundamental research on the electromagnetic energy flow and the number of guided modes versus waveguide width and frequency for twodimensional photonic crystal waveguides. In chapter 8 it is shown how twodimensional calculations for infiniteheight photonic crystal waveguides can be used to obtain guidelines for the design of leakagefree finiteheight planar photonic crystal waveguidse. Guidelines are obtained by comparing the twodimensional calculations to dispersion relations for the media above and below the finiteheight waveguide. In chapter 9 both a twodimensional and threedimensional theoretical analysis is presented for a photonic crystal waveguide based on the semiconductoroninsulator materials system. The chapter 10 addresses the design of planar photonic crystal waveguides that support leakagefree guidance of light over a large bandwidth.
Original language  English 

Number of pages  169 

ISBN (Print)  8790974220 
Publication status  Published  Apr 2002 
Fingerprint
Dive into the research topics of 'Optics of dielectric microstructures'. Together they form a unique fingerprint.Projects
 1 Finished

Modeller for vekselvirkning mellem lys og stof i aktive optiske strukturer
Søndergaard, T., Bjarklev, A. O., Tromborg, B., Buchhave, P., Hanson, V. S. G. & Nienhuis, G.
01/02/1999 → 28/05/2002
Project: PhD