A Novel Design of Photonic Band Gap by F.W.C.I.P Method M.k.Azizi, N.Sboui, F.Choubani, A.Gharsallah E-mail : noureddine.sboui@fst.rnu.tn Medkarim.azizi@gmail.com Laboratoire de physique de la matière molle, Unité de recherche : Circuits et systèmes électroniques HF Faculté des Sciences de Tunis, Campus Universitaire Tunis EL-manar, 2092, Tunisie -Abstract- The study of the photonic one-dimensional structures gaps was approached by several methods of analysis such as the FDTD, the method of the flat waves. Our innovation in this study consists in using the iterative method based on the concept of wave FWCIP which establishes a relation of recurrence between the waves incidents and the waves reflected to see the electromagnetic behaviour of the dielectric one-dimensional structures And by calculating the coefficient of transmission and reflection, a comparison will be made at the level of these two coefficients with those found by means of the method of the FDTD. Key words- Photonic Band Gap, FWCIP I- INTRODUCTION Materials with Photonic prohibited bands are made of a periodic assembly of two or several dielectric or metallic materials. They present frequency bands for which the distribution of the electromagnetic waves is forbidden [1] [2]. The structures in 1D [3] are the oldest although they were integrated into the structures PBG. Indeed, they were studied and used already for a long time as dielectric mirrors or optical filters. They consist in piling several layers of dielectric materials with different permittivity (Principle of Bragg’s mirror) [4]. The prohibited bands are all the bigger as the contrast of indication is raised for thicknesses of structures equal to the quarter of the guided wavelength. Fig. 1.Bragg’s mirror Our work consists in exciting this structure by an incidental flat wave and in explaining the electromagnetic behaviour of this material in terms of coefficient of transmission and coefficient of reflection. Fig.2. Dielectric structure 1D All our study will be made by the iterative method based on the concept wave [5]. The incidental wave 0 A is going to give birth to the reflected wave 1 A which is going to propagate to give birth to the diffracted wave 1 B . This process is made n time until reaching the convergence. Fig. 3.Definition of the waves The concept of wave is introduced by expressing the incidental and reflected waves into the interface according to the electromagnetic sizes, the electric field and the density of current tangential on the surface : 2008 International Conference on Signals, Circuits and Systems 978-1-4244-2628-7/08/$25.00 ©2008 IEEE -1-