A thesis submitted to the Faculty of Science, University of the Witwatersrand,
in fulfilment of the requirements for the degree of doctor of philosophy (Physics)
School of Physics. University of the Witwatersrand,
Johannesburg.
24 March 2017. / This thesis is an accumulation of the work and that was carried out and published as two articles
and two book chapters. Throughout the thesis, we develop and present theoretical as well as
numerical model to extend the existing techniques to study the optical properties of photonic
crystals, plasmonic photonic crystals and photonic quasicrystals.
We start with a background review, where we cover the theoretical aspects of light–matter
interaction. That is followed by a review of the physics of photonic crystals. In that chapter, we
discuss the different properties of photonic crystals, plasmonic photonic crystals as well as the
topic of localization. We then delve into the numerical aspects of the subject. We provide a
review on the frequency domain method and the finite–differences–time–domain methods which
they are both used in the work to perform different types of simulations.
The frequency domain method is, then, extended to enable the numerical analysis of the optical
properties in plasmonic photonic crystals. We use first order perturbation theory to study the
effect of surface plasmon polaritons on the photonic band structure of plasmonic photonic crystals.
We developed a simple numerical tool that extends the standard frequency domain methods to
compute the photonic band structure of plasmonic photonic crystals.
We then employ the two stage cut and project scheme to generate a dodecagonal two–dimensional
quasiperiodic structure. The finite-differences-time–domain method is applied to simulate the
propagation of electromagnetic modes in the system. We compute the transmission coefficients
as well as the inverse participation ratio for a quasicrystal consisting of dielectric cylindrical rods.
The analysis has shown that crystal has critical states. Furthermore, we apply the frequency
domain method to quantify the localized modes in the vicinity of defects in a two–dimensional
photonic crystal. We compute the intensity of those modes in the surroundings of the defects sites
to identify their nature. Finally, we use the finite–differences–time–domain method to provide a
second example of a quasicrystalline structure, where the states are localized. / GR2018
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/23748 |
| Date | January 2017 |
| Creators | Osman, Mohammed Faris Siedahmed |
| Contributors | Mohammed, Faris Siedahmed |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | Online resource ([vi], 146-153 leaves), application/pdf, application/pdf, application/pdf, application/pdf |
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