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Opto-Electronics Review

Editor-in-Chief: Jaroszewicz, Leszek

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1896-3757
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Volume 15, Issue 1 (Mar 2007)

Issues

Mixed phase and absorption thin gratings diffraction

G. Zakharyan / A. Galstyan
Published Online: 2007-03-01 | DOI: https://doi.org/10.2478/s11772-006-0050-9

Abstract

The coupled wave theory of Raman and Nath diffraction is extended to the case of thin anisotropic holographic media with grating vector parallel to the medium boundaries. Solutions for the wave amplitudes, diffraction efficiencies, and angular mismatch sensitivities are given in transmission geometries for the case of mixed dielectric and absorption modulations. For an apparent distinction, the results are given only for dielectric modulation. The main difference of the new results, with respect to the expressions valid for isotropic media, arises due to the walk-off between the wave-front and energy propagation directions. The difference is particularly important in materials with large birefringence, such as organic crystals, ordered polymers, and liquid crystalline cells.

Keywords: thin diffraction grating; periodic structures; anisotropic materials; coupled-wave theory

  • [1] H. Kogelnik, “Coupled wave theory for thick hologram gratings”, Bell Syst. Tech. J. 48, 2909–2947 (1969). CrossrefGoogle Scholar

  • [2] G. Montemezzani and M. Zgonik, “Light diffraction at mixed phase and absorption gratings in anisotropic media for arbitrary geometries”, Phys. Rev. E55, 1035–1047 (1997). Google Scholar

  • [3] K. Kojima, “Diffraction of light waves in an inhomogeneous and anisotropic medium”, Jpn. J. Appl. Phys. 21, 1303–1307 (1982). http://dx.doi.org/10.1143/JJAP.21.1303CrossrefGoogle Scholar

  • [4] C.V. Raman and N.S.N. Nath, “The diffraction of light by high frequency sound waves”, Proc. Indian Acad. Sci.: Pt. I, vol. 2A, 406–412 (1935); Pt. II, vol. 2A, 413–420 (1935); Pt. III, vol. 3A, 75–84 (1936); Pt. IV, vol. 3A, 119–125 (1936); Pt. V, vol. 3A, 459–465 (1936); also N.S.N. Nath, “Generalized theory”, vol. 4A, 222–242 (1937). Google Scholar

  • [5] A.V. Galstyan, G.G. Zakharyan, and R.S. Hakobyan, “The theory of light diffraction in thin anisotropic medium”, Mol. Cryst. Liq. Cryst. 453, 203–213 (2006). http://dx.doi.org/10.1080/15421400600654009CrossrefGoogle Scholar

  • [6] T.K. Gaylord and M.G. Moharam, “Thin and thick gratings: terminology clarification”, Appl. Opt. 20, 3271–3273 (1981). PubMedCrossrefGoogle Scholar

  • [7] M.G. Moharam and T.K. Gaylord, “Rigorous coupled-wave analysis of planar-grating diffraction”, J. Opt. Soc. Am. 71, 811–818 (1981). http://dx.doi.org/10.1364/JOSA.71.000811CrossrefGoogle Scholar

  • [8] V.M. Agranovich and V.L. Ginzburg, in Crystal Optics with Spatial Dispersion and Excitons, Vol. 42, edited by H.J. Queisser, Springer Series in Solid-State Sciences, Springer-Verlag, Berlin, 1984. Google Scholar

  • [9] M. Born and E. Wolf, Principles of Optics, Pergamon, Oxford, 1980. Google Scholar

  • [10] V.I. Smirnov, A Course of Higher Mathematics, Nauka, Moscow, 1969. Google Scholar

  • [11] M.G. Moharam, T.K. Gaylord, and R. Magnusson, “Criteria for Raman-Nath regime diffraction by phase gratings”, Opt. Comm. 32, 19–23 (1980). http://dx.doi.org/10.1016/0030-4018(80)90305-3CrossrefGoogle Scholar

About the article

Published Online: 2007-03-01

Published in Print: 2007-03-01


Citation Information: Opto-Electronics Review, ISSN (Online) 1896-3757, DOI: https://doi.org/10.2478/s11772-006-0050-9.

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© 2007 SEP, Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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