We have investigated light propagation and Anderson localization in one-dimensional dispersive random metamaterials,
focusing on the effects disorder correlation. We analyze and compare the cases where disorder is
uncorrelated, totally correlated and anticorrelated. We show that the photonic gaps of the corresponding periodic
structure are not completely destroyed by the presence of disorder, which leads to minima in the localization
length. We demonstrate that, in the vicinities of a gap of the corresponding periodic structure, the behavior of
the localization length depends crucially on the physical origin of the gap (Bragg or non-Bragg gaps).
We investigate optical spatial solitons in a one-dimensional periodic stack whose unit cell is composed of
two materials possessing quadratic nonlinearities and subjected to an array of microheaters. The periodic
temperature gradient induces a variation in the refractive index due to the thermooptic effect. In contrast
to ordinary photonic crystals, in such thermo-laminated system one may easily change parameters such as
period and modulation depth of the induced index modulation. Furthermore, one can easily translate the
modulation in time and introduce defects. We have found that is possible to steer solitons, change its shape,
split it in two or more lower power solitons and move them independently.
The band-structure properties of a photonic two-dimensional honeycomb lattice formed by cylindrical semiconductor
shell rods with dielectric permitivities ε1 and
ε2,
and embedded in a background with permitivity ε3,
is studied by
using an standard plane-wave expansion. The properties of bandgaps and density of states, considering dispersive
dielectric responses, are investigated together with the possibility of fabricating systems with tunable photonic bandgaps,
due to the Voigt magneto-optical effect, under the influence of an external magnetic field.
The photonic modes of Thue-Morse and Fibonacci lattices with generating layers A and B, of positive and negative
indices of refraction, are calculated by the transfer-matrix technique. For Thue-Morse lattices, as well for periodic
lattices with AB unit cell, the constructive interference of reflected waves, corresponding to the zeroth-order gap, takes
place when the optical paths in single layers A and B are commensurate. In contrast, for Fibonacci lattices of high order,
the same phenomenon occurs when the ratio of those optical paths is close to the golden ratio. In the long wavelength
limit, analytical expressions defining the edge frequencies of the zeroth order gap are obtained for both quasi-periodic
lattices. Furthermore, analytical expressions that define the gap edges around the zeroth order gap are shown to
correspond to the < ε > =0 and <μ> = 0 conditions.
Exact soliton solutions of a coupled system of Maxwell-Bloch equations are obtained analytically within the inverse scattering transform scheme. The equations describe a light pulse coherently propagating through a mixed ensemble of two-level atoms characterized by two slightly different detuning parameters. The solution illustrates the information about the detailed atomic properties which are impressed on both phase and velocity of the pulse during propagation, with potential applications in high resolution spectroscopy.
Propagation of partially coherent pulse trains in single- mode optical fibers is considered within the framework of the nonlinear Schrodinger equation. Statistical properties of chaotic modulated pulses are evaluated by modelling them after cyclostationary processes. Interesting spectra are obtained exhibiting the influence of self phase modulation on these random signals.
We propose a multi-mode theory to demonstrate the Zeno effect--inhibition of transitions via frequent measurements- -in the context of parametric down-conversion.
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