Ukrainian Journal of Physical Optics 


Number  2, Volume 4,  2003

Influence of Non-Linear Recording of Thick Hologram on the Effective Value of Modulated Refractive Index  (download full version)

V. M. Fitio

Diffraction of a plane electromagnetic wave falling onto a thick hologram at the first-order Bragg angle at the non-linear recording conditions is analyzed using the coupled-wave equations. It is shown that, under the non-linear conditions, one can use double-wave approximation and the effective values for the modulated refractive index. Analytical dependences of the hologram diffraction efficiency on thickness are obtained. A possibility is revealed for using the effective value of the refractive index for the case of slight deviations from the Bragg angle.

Key words: grating, diffraction, coupled waves.
PACS: 42.25.Fx; 42.25.Pa

doi 10.3116/16091833/4/2/94/2003

1. Solymar L, Cooke DJ, 1981. Volume Holography and Volume Gratings, Academic Press, London New York, Toronto.
2. Zhao G, Mouroulis P, 1995. Opt. Commun. 115: 528-532.
        doi:10.1016/0030-4018(95)00051-9   http://dx.doi.org/10.1016/0030-4018(95)00051-9
3. Kogelnik H, 1969. Bell Syst. Tech. J. 48: 2909-2947.
4. Fitio VM, 2000. Proc. SPIE 4448: 34-42.
        doi:10.1117/12.388461   http://dx.doi.org/10.1117/12.388461
5. Indutnyy IZ, Kostyshin MT, Kasyrum OP, et al, 1992. Photo–stimulation interaction in structure metal-semiconductor, Kiyev: Scient. Th..
6. Zyubrik AI, Vinnik DM, Gorbal MM, Trofimovich KK, 1980. Collection of the scientific works. Moscow, MHGSE RSSF.
7. Yariv A, Yeh P, 1984. Optical Waves in Crystals, A Wiley-Interscience Publication. John Wiley & Sons, New York.
8. Landau LD, Lifshic YeM, 1959. Electrodynamics of solid state, Moscow, Nat.Publ.Phys.-Mat. Lit.
9. Moharam MG, Jong L, 1978. Appl. Opt. 17: 1975-1979.


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