Phase MATCHING BETWEEN two modes TE and TM

in a thin layer of rectangular waveguides

with optimized dimensions and containment


 M. R. Lebbal1*, T. Boumaza1, M. Bouchemat1, A. Hocini1, J. J. Rosseau2, F. Royer2

1Department of electronics, Mentouri University of Constantine, Algeria

2 Laboratory DIOM of Saint Etienne Jean Monet University, France

* Corresponding author. E-mail:

Received: 25 January 2007; revised version accepted:20 September 2007



     The studies currently undertaken on the devices in thin layers magneto-optics relate to mainly the functions of isolation and modulation. In these two cases one uses the coupling between two modes of propagation TE and TM and it is essential to carry out phase mismatch as weak as possible between the modes concerned. Phase matching between the fundamental modes TE and TM is an essential condition for completing polarization rotation in magnetooptic waveguides. This Phase matching lead to obtain a perfect isolation, and thus a difference in propagation constants null.   

     This condition can be to realize in the thin layer with SiO2/TiO2 of rectangular waveguides, worked out by sol-gel preparation and doped by maghemite nanoparticules . Provided that dimensions of the thin layer and the containment of the modes are well optimized.              

     Simulations carried out on dimensions and containment in a guiding layer of rectangular waveguides, allowed the deduction of the conditions favorable as for the minimization of mismatch between TE and TM modes. This last contributes for increasing the maximum TE-TM conversion ratio and the realization of powerful isolator. 


Keywords:  Optical waveguide; Phase matching; The maximum of power conversion.

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