Multilayer rugate-like structures based on porous silicon with incorporated active ions are theoretically investigated. Multilayer structures consist on different sinusoidal refractive index profiles designed to show the greatest amplification of electric field at a wavelength of 1 µm. We show that it is possible to increase the localization of the electric field by optimizing the design parameters, and thereby directly enhances the photoluminescence of the active ions. The luminescent properties of active ions incorporated in the porous silicon structures are calculated from a model based on the Förster Resonance Energy Transfer (FRET) theory. This model considers the effect of the electric field due to the structures and the energy transfer processes between donors and acceptors and allows studying the luminescent dynamics in this type of systems. It is shown that a greater intensity in the emission of ions is obtained from the structures with the highest amplification of the electric field. Furthermore, it is observed that the emission of active ions depends on the porous silicon multilayer structure and on the concentration of ions. Likewise, greater luminescence is observed as the acceptor density increases. In the same way, donor and acceptor lifetimes also depend on the acceptor density, although it does not depend on the porous silicon structure. The structures proposed here are prospective for Si-based optoelectronic applications for the near-infrared spectral region.
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