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-