J. A. Andrade Lucio

Photonic density of states maps for design of photonic crystal devices

In this work, it has been investigated whether photonic density of states maps can be applied to the design of photonic crystal-based devices. For this reason, comparison between photonic density of states maps and transmittance maps was carried out. Results of comparison show full correspondence between these characteristics. Photonic density of states maps appear to be preferable for the design of photonic crystal devices, than photonic band gap maps presented earlier and than transmittance maps shown in the paper.

Evolution of bright periodic lattices in negative nonlinear medium.

We study numerically the behavior of bright periodic lattices in negative nonlinear medium. We use two‐dimensional nonlinear Schrodinger equation, and the solutions are found with split‐step method. The critical parameters are the periodicity, the nonlinear constant, and the size of the each spot of the periodic lattice array. We found that bright spots interact with neighbors during the all distance of propagation. The negative refractive index of the medium, produce diffraction in bright spot of the light, in consequence, each spot of the light interact with the four close neighbors and the darks spots are self‐focused. The initial period of the array selected, determine the behavior of the dark periodic arrays. We find two regions of interest of the dark periodic lattice pattern: circular dark lattices and linear dark periodic lattices. The evolution of the two‐dimensional bright periodic lattice to one‐dimensional periodic lattice is due to self‐phase modulation of the beam. These numerical results ar...

In-fiber pulse reshaping in the C-band

We have investigated ultrashort parabolic pulse formation via passive nonlinear reshaping in commercially available normal dispersive optical fibers at 1550 nm. It was investigated parabolic pulse formation in the transient-state regime and in the steady-state regime. The most suitable fiber for pulse reshaping was found. We have shown that femtosecond parabolic pulses can be formed as short as 200 - 300 fs in the transient-state regime and 700-800 fs in the steady-state regime.

Characterization of the bistable wideband optical filter on the basis of nonlinear 2D photonic crystal

In our work, we investigated the wideband optical filter on the basis of nonlinear photonic crystal. The all-optical flip-flop using ultra-short pulses with duration lower than 200 fs is obtained in such filters. Here we pay special attention to the stability problem of the nonlinear element. To investigate this problem, the temporal response demonstrating the flip-flop have been computed within the certain range of the wavelengths as well as at different input power.

Multi-GPU-accelerated FDTD method for PhC fibers characterization

In the work, we have studied the PhC fiber dispersion characteristics by means of the FDTD technique. The method has been accelerated using CUDA-compatible GPU cards and its stability was compared with classical CPU computing. In contrast to other numerical methods, the FDTD allows studying the beam propagation along the fiber taking into account material dispersion and the nonlinearity. To improve the method performance, we have concentrated attention on the method details that allowed reduce dramatically the computation time and achieve the accuracy close to the one provided by the finite elements method.

Femtosecond parabolic pulse formation in all-normal dispersion photonic crystal fiber

We have shown numerically that all-normal dispersion fiber with a flat top at 800 nm can be used for producing of parabolic pulses with femtosecond pulse duration by means of passive nonlinear reshaping in the fiber. Ultrashort pulses delivered by typical Ti:Sapphire lasers or fiber lasers can be used as a pump source.

Dynamic Characteristics of Linear and Nonlinear Wideband Photonic Crystal Filters

The heart of such all-optical circuit is nonlinear PhC which may provide the basis for logic, memory cells, switching, local routing, power limiters, isolators, etc. Therefore, it is of crucial importance to understand the processes taking place in such components and optimize their characteristics. One of the most important points of view to the PhCs is their interaction with short and ultra-short pulses which may limit the productivity of an optical circuit. Recently, there have been proposed a great number of PhC components bases on different operating principles. However, being resonant-transmitting structures, PhCs themselves reduce the possibility to work with ultra-short pulses.

Omnidirectional multilayer mirrors for 60-GHz-band

We have investigated numerically properties of periodic multilayer mirrors for 60-GHz wireless telecommunication band. It was shown that a quarter-wave mirror based on the crystalline quartz and high-permittivity ceramic (CeO2) can provide high reflectivity within the whole 60-GHz band independently of the incident angle.

Switching dynamics of the wideband PhC-based filter with Kerr saturable nonlinearity

In the paper, we investigate in details switching ON and switching OFF dynamics of the wideband optical filter on the basis of nonlinear photonic crystal which possess all-optical bistability properties. The all-optical flip-flop using ultra-short pulses with duration lower than 200 fs have been demonstrated in such filters.

Nonlinear photonic crystal for optical power limiting

In the paper, we present the theoretical investigations of the nonlinear 1D and 2D photonic crystals which possess optical power limiting effect. The parameters of the structures were found as well as radiation intensities and wavelengths the stabilization is observed at. Numerical experiments have been carried out which approved the power stabilization at the output of the structures. The structures proposed are very promising for optical power limiting at the input of all-optical photonic integrated circuits.