COUPLED MODE THEORY


BASED


MODELING AND ANALYSIS


OF


CIRCULAR OPTICAL MICRORESONATORS

 

Kirankumar Rajshekhar Hiremath

The research presented in this dissertation was carried out at the Applied Analysis and Mathematical Physics group, the faculty of Electrical Engineering, Mathematics and Computer Science, and MESA+ Research Institute, University of Twente, P. O. Box 217, 7500 AE, Enschede, The Netherlands.

This research was carried out as a part of the European Commission funded project ``Next generation Active Integrated optic Subsystems'' (project IST-2000-28018).

Front cover: Field examples for a 2-D microdisk resonator. The plots show absolute value $\vert E_y\vert$ of the principal component of the TE fields (top), and snapshots of the real physical electric field $E_y$ (bottom). From left to right, the field plots illustrate microresonator in off-resonance state, in TE$_{1}$ resonance state, and in TE$_{0}$ resonance state. The color scale levels of the plots in each row are comparable. For further details refer to Section 4.4.2.

Using just four relevant basis modes (the fundamental mode of a straight waveguide, and the first three lower order modes of a bent waveguide), the simulations are done with the coupled mode theory based approach discussed in this thesis.

Back cover: Whispering gallery modes of a 2-D bent waveguide. The plots show absolute value $\vert E_y\vert$ of the principal component of the TE mode profile (top), and snapshots of the real physical electric field $E_y$ (bottom). From left to right, it illustrates TE$_{0}$, TE$_{1}$, and TE$_{2}$ mode. For further details refer to Section 2.4.5.

The results are obtained with the analytic model of bent waveguides presented in Chapter 2. Having access to the analytic bent modes greatly facilitated an efficient implementation of the coupled mode theory based model of bent-straight waveguide couplers, which in turn led to various accomplishments of the present resonator model.

This thesis was typeset using L^ATEX $\ 2_{\varepsilon}$ and the softwares Emacs, AUCTEX, RefTEX under SuSe Linux. Except the use of MATLAB for plotting, all other softwares used are public domain (and mostly open source) softwares viz. g++, f77, Xdvi, ghostview, gnuplot, Xfig, and gimp. The cover page was designed in Openoffice.

  Copyright $\copyright$ 2005 by Kirankumar R. Hiremath, Enschede, The Netherlands

ISBN 90-365-2267-6

COUPLED MODE THEORY BASED

MODELING AND ANALYSIS OF


CIRCULAR OPTICAL MICRORESONATORS

DISSERTATION

to obtain
the doctor's degree at the University of Twente,
on the authority of the rector magnificus,
prof. dr. W. H. M. Zijm,
on account of the decision of the graduation committee,
to be publicly defended
on Friday 14 October 2005 at 16:45








by

Kirankumar Rajshekhar Hiremath
born on 21 August 1976
in Solapur, India

This dissertation is approved by

the promotor
prof. dr. E. van Groesen

the assistant promotor
dr. Manfred Hammer  

If I have seen further it is because they taught me to stand.

This work is dedicated to my teachers.