Análise de dispersão em fibras PCF com o método de elementos finitos

• Ano de defesa: 2005
• Autor(a) principal: Ramos, Breno Guimarães
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Espírito Santo; BR; Mestrado em Engenharia Elétrica; Centro Tecnológico; UFES; Programa de Pós-Graduação em Engenharia Elétrica
• Palavras-chave em Português: Finite element method; Optical fibers; Dispersal; Electromagnetic waves - Transmission; Electromagnetism; Método dos elementos finitos; Fibras óticas; Dispersão; Ondas eletromagnéticas – Transmissão Eletromagnetismo; Engenharia Elétrica; 621.3
• Link de acesso: http://repositorio.ufes.br/handle/10/4035

In the present work, the full vectorial, total anisotropic, Finite Element Method was implemented, using second order nodal base functions for the electric field longitudinal component discretization, and Nedelec base functions, quadratic normal and linear tangencial (QNLT), for the discretization of the magnetic field transversal component, applying triangular elements in the domain of solution. Through this implementation, it was studied several configurations of Photonic Cristal Fibers (PCF), making changes in the diameter of the holes and in the distance between then, also called pitch. The intention was to show how feasible and practical is the control of the ultraflattened dispersion profile for this new model of optical fiber, as was reported in recent works. The calculated dispersion results shown that is possible to get dispersion profile completely flat in a range of wavelength of 200 nm, and with the possibility to add offsets in this profiles, making it negative (for applications related to dispersion compensation), or yet, making it flat in a region as close as possible to zero, what is very useful for WDM multiplexing systems. In addition to the dispersion evaluation, the method developed also allows to calculate the effective modal area and also features a graphical presentation of the electric field distribution, or the magnetic field distribution, of the guided modes in the fiber. Concerning the tailoring of the dispersion curve, applying finite element simulation, it was validated the use of empiric equations for dispersion computations from scaling operations in the structure of PCF fibers. These equations can simplify even more the procedure of dispersion tailoring, because the number o simulations by finite element method is reduced considerably. It was also important to analyze the behavior of the propagating wave in the fiber’s interior. For this, it was implemented the Beam Propagation Method (BPM) using two different approaches. Initially, it was applied Crank-Nicholson method, which didn’t show good results because it was not possible to stabilize the propagation process. As a second option, the Newmark method was used, but it was only possible to make the propagation process stable with a simulation step which had the same order of magnitude of the wavelength applied. Thus, unfortunately it was not possible to observe any phenomena of interest during the guiding process.