Abstract
Two strong simultaneous resonances of scattering – double-resonant extremely asymmetrical scattering (DEAS) – are predicted in two parallel, oblique, periodic Bragg arrays separated by a gap, when the scattered wave propagates parallel to the arrays. One of these resonances is with respect to frequency (which is common to all types of Bragg scattering), and another is with respect to phase variation between the arrays. The diffractional divergence of the scattered wave is shown to be the main physical reason for DEAS in the considered structure. Although the arrays are separated, they are shown to interact by means of the diffractional divergence of the scattered wave across the gap from one array into the other. It is also shown that increasing separation between the two arrays results in a broader and weaker resonance with respect to phase shift. The analysis is based on a recently developed new approach allowing for the diffractional divergence of the scattered wave inside and outside the arrays. Physical interpretations of the predicted features of DEAS in separated arrays are also presented. Applicability conditions for the developed theory are derived.
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Bakhturin, M.P., L.A. Chernozatonskii and D.K. Gramotnev. Appl. Opt. 34 2692, 1995.
Bedynska, T. Phys. status solidi (a) 19 365, 1973.
Bedynska, T. Phys. status solidi (a) 25 405, 1974.
Chu, R.S. and J.A. Kong. IEEE Trans. Microwave Theory Tech. MTT-25 18, 1977.
Gramotnev, D.K. Phys. Lett. A 200 184, 1995.
Gramotnev, D.K. J. Phys. D 30 2056, 1996a.
Gramotnev, D.K. Opt. Lett. 22 1053, 1997b.
Gramotnev, D.K. Opt. Quantum Electron. 2001 (submitted for publication).
Gramotnev, D.K. and T.A. Nieminen. J. Opt. A: Pure and Appl. Opt. 1 635, 1999.
Gramotnev, D.K. and D.F.P. Pile. Phys. Lett. A 253 309, 1999a.
Gramotnev, D.K. and D.F.P. Pile. Appl. Opt. 38 2440, 1999b.
Gramotnev, D.K. and D.F.P. Pile. Opt. Quantum Electron. 32 1097, 2000 (accepted for publication).
Hall, D.G. Opt. Lett. 15 619, 1990.
Kishino, S.J. Phys. Soc. Japan 31 1168, 1971.
Kishino, S., A. Noda, K. Kohra. J. Phys. Soc. Japan 33 158, 1972.
Kogelnik, H. Bell Syst. Tech. J. 48 2909, 1969.
Moharam, M.G. and T.K. Gaylord. IEEE Proc. 73 894, 1985.
Moharam, M.G. and L. Young. Appl. Opt. 17 1757, 1978.
Moharam, M.G., T.K. Gaylord and R. Magnusson. Opt. Commun. 32 14, 1980.
Nieminen, T.A. and D.K. Gramotnev. Opt. Commun. 2000 (submitted for publication).
Popov, E. and L. Mashev. Opt. Acta 32 265, 1985.
Stegeman, G.I., D. Sarid, J.J. Burke and D.G. Hall. J. Opt. Soc. Am. 71 1497, 1981.
Weller-Brophy, L.A. and D.G. Hall. J. Lightwave Technol. 6 1069, 1988.
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Gramotnev, D., Nieminen, T. Double-resonant extremely asymmetrical scattering of electromagnetic waves in periodic arrays separated by a gap. Optical and Quantum Electronics 33, 1–17 (2001). https://doi.org/10.1023/A:1007019621419
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DOI: https://doi.org/10.1023/A:1007019621419