13 April 2005 Bistability, chirping, and switching in a nonlinear and partially nonlinear photonics crystal
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Abstract
The study of nonlinear photonics crystals is quite complex and cumbersome, because of their inherent architectural complexity and, in addition, because of the nonlinearity that couples propagating and counterpropagating waves. However, they are quite attractive because of their potential capabilities, and that has lead to use different approximated methods. In a one dimensional stack, it has been successfully demonstrated that they show switching, bistability and chirping as nonlinear characteristics. Band gap solitons are a well established feature of the coupled wave equations. We have extended a method that have previously shown its success for a stack with a Kerr nonlinearity, to a much more complex structure such as an omniguide fiber, as part of our suggestion that such method could be applied to numerical or analytical methods as long as the linear solution were available. Such a restriction, hinder our ability of getting analytical solution beyond their enabling approximations, however, it is completely adequate for the purpose of to develop devices. A comparative numerical analysis of a one dimensional photonic crystal and an omniguide fiber, made of a dielectric and stratified linear and nonlinear media, has been carried out. They were considered as multilayer arrangements with a finite numbers of periods: linear-linear, nonlinear-linear and nonlinear- nonlinear in order to study and isolate those features. Finally, a comparison of multilayer systems with variations in the diffraction indexes profiles is presented.
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Javier Sanchez-Mondragon, Javier Sanchez-Mondragon, J. Jesus Escobedo-Alatorre, J. Jesus Escobedo-Alatorre, Miguel Basurto-Pensado, Miguel Basurto-Pensado, Margarita Tecpoyotl-Torres, Margarita Tecpoyotl-Torres, Romeo Selvas-Aguilar, Romeo Selvas-Aguilar, Miguel Torres-Cisneros, Miguel Torres-Cisneros, } "Bistability, chirping, and switching in a nonlinear and partially nonlinear photonics crystal", Proc. SPIE 5733, Photonic Crystal Materials and Devices III, (13 April 2005); doi: 10.1117/12.591390; https://doi.org/10.1117/12.591390
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