Abstract
A new type of Bragg scattering – double-resonant extremely asymmetrical scattering (DEAS) of optical waves in oblique, non-uniform, periodic Bragg arrays is analysed theoretically and numerically. Steady-state DEAS is demonstrated to occur in the extremely asymmetrical geometry where the scattered wave propagates parallel to the front array boundary. The non-uniform array is represented by two joint uniform, strip-like, periodic arrays with different phases (and amplitudes) of the grating. DEAS is characterised by a unique combination of two simultaneous resonances with respect to frequency and phase variation at the interface between the joint arrays. As a result, a strong resonant increase in the scattered wave amplitude compared with the amplitude of the incident wave is predicted and investigated theoretically. The amplitude of the incident wave inside the array is also shown to increase resonantly in the middle of the array where the step-like variation in the phase of the grating takes place. The effect of different widths of the joint arrays, and magnitudes of the grating amplitudes on DEAS is analysed. Physical explanations of this type of scattering, based on the diffractional divergence of the scattered wave from one of the joint arrays into another, are presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bakhturin, M.P., L.A. Chernzatonskii 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.
Elashi, C. Proc. IEEE 64 1666, 1976.
Gramotnev, D.K. Phys. Letters A 200 184, 1995.
Gramotnev, D.K. J. Phys. D 30 2056, 1997a.
Gramotnev, D.K. Optics Letters 22 1053, 1997b.
Gramotnev, D.K. and D.F.P. Pile. Extremely asymmetrical scattering of optical waves in non-uniform periodic Bragg arrays. Applied Optics 1999a, (accepted for publication).
Gramotnev, D.K. and D.F.P. Pile. Physics Letters A 253 309, 1999b.
Gulyaev, Yu.V. and V.V. Plesski. Sov. Phys.-Usp. 32 51, 1989.
Hall, D.G. Opt. Lett. 15 619, 1990.
Kishino, S. J. Phys. Soc. Jpn. 31 1168, 1971.
Kishino, S., A. Noda and K. Kohra. J. Phys. Soc. Jpn. 33 158, 1972.
Nieminen, T.A. and D.K. Gramotnev. Non-steady-state extremely asymmetrical scattering of optical waves in periodic Bragg arrays (to be published).
Pinsker, Z.G. Dynamical Scattering of X-rays in Crystals, 1978 Springer-Verlag, Berlin, 1978.
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.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gramotnev, D., Pile, D. Double-resonant extremely asymmetrical scattering of electromagnetic waves in non-uniform periodic arrays. Optical and Quantum Electronics 32, 1097–1124 (2000). https://doi.org/10.1023/A:1007081419880
Issue Date:
DOI: https://doi.org/10.1023/A:1007081419880