*F. Villa-Villa1, J. M. Gutiérrez-Villareal2, H. Pérez-Aguilar3, J. A. Gaspar-Armenta4
1Centro de Investigaciones en Optica, Lomas del Campestre, León Gto, México; 2Universidad Tecnológica de Sonora, Sonora, México; 3Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Mich., México; 4Universidad de Sonora, Sonora, México
A detailed study of the propagation length of Bloch modes along the surface between a bulk medium and a one-dimensional photonic crystal is presented by considering different parameters like the number of periods composing the photonic crystal, absorption of materials, and the leak of energy due to the intrinsic structure of the system and the roughness of involved surfaces that is inherently present depending on the manufacturing method and the materials itself. To analyze the influence of different factors affecting the propagation length we use essentially three different methods: the numerical analysis of the energy propagation along the surface when a Gaussian beam impinges on it. The characteristic matrix along with the numerical fitting of a Lorentzian curve around the resonance, and the integral method based on the Green function for two-dimensional systems that include random rough surfaces.