@mastersthesis {251896,
	title = {Electromagnetic wave propagation in gradient index metamaterials, plasmonic systems and optical fiber networks},
	year = {2014},
	type = {PhD thesis},
	abstract = {Metamaterials constitute a relatively new field which is very promisingbecause it exhibits properties that may not be readily found in nature. Oneof promising lines of research is the study of novel characteristics of the prop-agation of electromagnetic (EM) waves in gradient refractive index (GRIN)lenses. In this Thesis, three geometrical optics methods as well as a wavenumerical method have been developed for the investigation of EM wavespropagation through media with certain refractive indices. Furthermore, westudy the propagation of EM waves through specific geometrical configura-tions as well as through complex random networks of GRIN lenses, such asLuneburg (LL) and Luneburg Hole (LH) lenses. We show that waveguides,which are formed by LLs, offer the capability of better controlling the prop-agation characteristics of EM waves.
In addition, we show that branchedflows and extreme events can arise in such complex photonic systems.In addition to GRIN lenses networks, we use the discrete nonlinear Schr ̈o-dinger equation to investigate the propagation of an EM wavepacket throughcertain configurations of optical fiber lattices and investigate the effects ofrandomness and nonlinearity in the diffusion exponent.
Finally, we study surface plasmon polaritons (SPPs). We investigate howthe presence of active (gain) dielectrics change the dispersion relation andenhance the propagation length of SPPs. We finally show that the use of anactive dielectric with gain, which compensates for metal absorption losses,enhances substantially the plasmon propagation.},
	url = {http://elocus.lib.uoc.gr//dlib/6/9/9/metadata-dlib-1423129321-297195-26444.tkl$\#$},
	author = {Marios Mattheakis}
}
@conference {250621,
	title = {Enhanced surface plasmon polariton propagation induced by active dielectrics},
	booktitle = {Expert from the Proceedings of the 2014 COMSOL conference in Cambridge},
	year = {2014},
	month = {17-17 Sep.},
	publisher = {COMSOL},
	organization = {COMSOL},
	address = {Cambridge, UK},
	abstract = {We present numerical simulations for the propagation of surface plasmon polaritons (SPPs) in a dielectric-metal-dielectric waveguide using COMSOL multiphysics software. We show that the use of an active dielectric with gain that compensates metal absorption losses enhances substantially plasmon propagation. Furthermore, the introduction of the active material induces, for a specific gain value, a root in the imaginary part of the propagation constant leading to infinite propagation of the surface plasmon. The computational approaches analyzed in this work can be used to define and tune the optimal conditions for surface plasmon polariton amplification and propagation.},
	url = {http://www.comsol.com/paper/enhanced-surface-plasmon-polariton-propagation-induced-by-active-dielectrics-18183},
	author = {C. Athanasopoulos and M Mattheakis and G. P. Tsironis}
}
@article {2040-8986-16-10-102003,
	title = {Small-world networks of optical fiber lattices},
	journal = {Journal of Optics},
	volume = {16},
	year = {2014},
	month = {2014},
	pages = {102003},
	abstract = {We use a simple dynamical model and explore coherent dynamics of wavepackets in complex networks of optical fibers. We start from a symmetric lattice and through the application of a Monte{\textendash}Carlo criterion we introduce structural disorder and deform the lattice into a small-world network regime. We investigate in the latter both structural (correlation length) as well as dynamical (diffusion exponent) properties and find that both exhibit a rapid crossover from the ordered to the fully random regime. For a critical value of the structural disorder parameter\&nbsp;ρ≈0.25\&nbsp;transport changes from ballistic to sub-diffusive due to the creation strongly connected local clusters and channels of preferential transport in the small world regime.},
	url = {http://stacks.iop.org/2040-8986/16/i=10/a=102003},
	author = {F Perakis and M Mattheakis and G. P. Tsironis}
}
