Abstract
The approximate method of analysis of grazing-angle scattering (GAS), based on allowance for the diffractional divergence of the scattered wave, is justified and extended to GAS in infinitely wide, slanted, periodic gratings. The analysis has revealed an unusual and strong dependence of the pattern of GAS on small variations of mean structural parameters at the grating boundary. Several times increase of already resonantly large scattered wave amplitudes can be achieved in this case. Sharp resonance-like maximums on the angular dependence of the scattered wave amplitude are predicted inside the grating. The theory is extended to the case of GAS of optical modes guided by a slab with a semi-infinite periodic groove array. Physical interpretation of the obtained results is presented.
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References
Agranovich, V.M. and D.L. Mills, (eds.) Surface Polaritons. Electromagnetic Waves at Surfaces and Interfaces. North Holland, Amsterdam, 1982.
Akhmanov, A.S., V.I. Emel'yanov, N.I. Koroteev and V.N. Seminogov. Sov.-Phys. Uspekhi 28 1084, 1985.
Bakhturin, M.P., L.A. Chernozatonskii and D.K. Gramotnev. Appl. Opt. 34 2692, 1995.
Biehlig, W., K. Hehl, U. Langbein and F. Lederer. Opt. Quantum Electron. 18 219, 1986.
Borsboom, P.-P. and H.J. Frankena. J. Opt. Soc. Am. A 12 1134, 1995.
Emel'yanov, V.I., V.I. Konov, V.N. Tokarev and V.N. Seminogov. J. Opt. Soc. Am. B 6 104, 1989.
Gramotnev, D.K. Phys. Lett. A 200 184, 1995.
Gramotnev, D.K. J. Phys. D 30 2056, 1997a.
Gramotnev, D.K. Opt. Lett. 22 1053, 1997b.
Gramotnev, D.K. 2000 Diffractive Optics and Micro-Optics (DOMO-2000), June 18–22, Canada, Quebec City, p. 165, 2000.
Gramotnev, D.K. Opt. Quant. Electron. 33 253, 2001.
Gramotnev, D.K. and D.F.P. Pile. Opt. Quant. Electron. 32 1097, 2000.
Gramotnev, D.K. and D.F.P. Pile. J. Opt. A: Pure Appl. Opt. 3 103, 2001.
Gramotnev, D.K., T.A. Nieminen and T.A. Hopper. J. Mod. Opt. 49 1567, 2002.
Gramotnev, D.K. and T.A. Nieminen. Optics Commun. 219 33, 2003.
Hutley, M.C. Diffraction gratings, Academic Press, London, 1982.
Kishino, S., A. Noda and K. Kohra. J. Phys. Soc. Japan 33 158, 1972.
Kogelnik, H. Bell Syst. Tech. J. 48 2909, 1969.
Moharam, M.G., E.B. Grann, D.A. Pommet and T.K. Gaylord. J. Opt. Soc. Am. A12 1068, 1995a.
Moharam, M.G., D.A. Pommet, E.B. Grann and T.K. Gaylord. J. Opt. Soc. Am. A12 1077, 1995b.
Nieminen, T.A. and D.K. Gramotnev. Opt. Commun. 189 175, 2001.
Petit, R. (ed.) Electromagnetic Theory of Gratings, Springer-Verlag, Berlin, 1980.
Popov, E. and L. Mashev. Opt. Acta 32 265, 1985.
Shigesawa, H. and M. Tsuji. IEEE Trans. Microwave Theory Tech. MTT-34 205, 1986.
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Gramotnev, D.K., Andres, C. Grazing-angle scattering of waves in infinitely wide periodic gratings. Optical and Quantum Electronics 35, 845–863 (2003). https://doi.org/10.1023/A:1024446325395
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DOI: https://doi.org/10.1023/A:1024446325395