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On surface waves in diffraction gratings
Author(s) -
Grikurov V. E.,
Lyalinov M. A.,
Neittaanmäki P.,
Plamenevskii B. A.
Publication year - 2000
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/1099-1476(20001125)23:17<1513::aid-mma146>3.0.co;2-i
Subject(s) - st petersburg , physics , mathematics , library science , engineering physics , computer science , sociology , regional science , russian federation
We discuss the existence criterion of surface waves based on the augmented scattering matrices. Such matrices arise if one takes into account not only oscillating waves but also those which grow (attenuate) in amplitude far from the grating. A family of planar dielectric gratings with periodic modulation of the refraction index is considered. Asymptotic and numerical analysis of the model are given. We represent various examples of gratings which support (or do not support) surface waves. Copyright © 2000 John Wiley & Sons, Ltd.