Vol. 17

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Improvement of the Performances of 1D Photonic Crystal by the Reduction of the Kiessig Fringes

By Jihene Zaghdoudi, Maher Hamdi, and Mounir Kanzari
Progress In Electromagnetics Research M, Vol. 17, 267-282, 2011


The goal of this work is to look for a technique of optimization making it possible to improve the optical performances of materials with photonic band gap by reducing of the Kiessig fringes. The techniques of apodization and smoothing were used. The combination of these two techniques made it possible to reduce the Kiessig fringes up to 95%.


Jihene Zaghdoudi, Maher Hamdi, and Mounir Kanzari, "Improvement of the Performances of 1D Photonic Crystal by the Reduction of the Kiessig Fringes," Progress In Electromagnetics Research M, Vol. 17, 267-282, 2011.


    1. Golmohammadi, S. and A. Rostami, "Optical filters using optical multi-layer structures for optical communication systems," Fiber and Integrated Optics, Vol. 29, 209-224, 2010.

    2. Djavid, M. and M. S. Abrishamian, "Photonic crystal channel drop filters with mirror cavities," Opt. Quantum Electron., Vol. 39, 1183, 2007.

    3. Kiessig, H., "Untersuchungen zur totalreflection von rontgenstrahlen," Ann. Physik, Vol. 10, 715-768, 1931.

    4. Abeles, F., "Recherche sur la propagation des ondes electromagnetiques sinusoidales dans les milieux stratifies: Application aux couches minces," Ann. Phys., Vol. 12, 596-706, 1950.

    5. Li, , X. C., et al., "A side-coupled photonic crystal filter with sidelobe suppression," Appl. Phys. A, Vol. 89, 327-332, 2007.

    6. Chassande-Mottin, E. and P. Flandrin, "On the stationary phase approximation of chirp spectra," Proc. of the IEEE Int. Symp. on Time-frequency and Time-scale Analysis, 117-120, Pittsburgh, US, 1998.

    7. Shu, X., et al., "Apodisation of photo-induced waveguide gratings using double-exposure with complementary duty cycles," Opt. Express, Vol. 16, No. 3, 2221-2225, 2008.

    8. Leger, C. and J. Thiel, "Suivi du contour du ventricule gauche du coeur dans une sequence d'images echocardiographiques," Colloque AGI'94, 401-404, Poitiers, 1994.

    9. Gade, S. and H. Henrik, "Use of weighting functions in DFT/FFT analysis (Part I)," Bruel & Kjaer Technical Review, Vol. 3, 319-321, 1987.

    10., , http://www.mathworks.com/help/pdf doc/signal/signal tb.pdf..

    11. Karris, S. T., Signals and Systems with MATLAB Computing and Simulink Modeling, 4th Ed., 2008.

    12. Shapiro, L. G., et al., "Computer Vision," Prentence Hall, 137-150, 2001.

    13. Tukey, J. W., "An introduction to the calculations of numerical spectrum analysis," Spectral Analysis of Time Series, 25-46, 1967.

    14. Bovard, B. G., "Rugate filter theory --- An overview," Appl. Opt., Vol. 32, 5427-5442, 1993.

    15. Southwell, W. H. and R. L. Hall, "Rugate filter sidelobe suppression using quintic and rugated quintic matching layers," Appl. Opt., Vol. 28, 2949-2951, 1989.

    16. Zaghdoudi, J., et al., "Design of omnidirectionnal asymmetrical high re°ectors for optical telecommunication wavelengths," Eur. Phys. J. B, Vol. 42, 181-196, 2004.

    17. Kwang, J. L., et al., "Sidelobe suppression in all-fiber acousto-optic tunable filter using torsional acoustic wave," Optics Express, Vol. 18, 12059-12064, 2010.