Abstract
Abstract : A model was constructed to describe pulse propagation and frequency conversion in fiber Bragg gratings. The theoretical issues connected with pulse propagation in fibers with fiber Bragg gratings as dispersive elements were examined. The elements can also be designed for use as linear or nonlinear optoelectronic devices. The project included computational and analytical calculations on the amplitude equations, derived by a multiple scales technique, and the results were tested against exact numerical computations. The computational effort was performed on Numerical Intensive Computers, mainly RS6000 workstations. The multiple scales perturbation theory is used to derive a set of coupled-mode equations valid for electromagnetic wave propagation in a weakly periodic, nonlinear medium with periodicity on the order of a wavelength. This is applied to a problem where the medium has a X(2) response and find that the second harmonic signal generated is enhanced when the fundamental is tuned near the band edge. Results are given for a possible experiment with optical fibers.
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