Diffraction at a curved grating: Approximation by an infinite plane grating

Journal of Mathematical Analysis and Applications

Volumn 202, Issue 3, 1996, Pages 1076-1100

  Abboud, Toufic ^a   Ammari, Habib ^a  

^a CENTRE DE MATHÉMATIQUES APPLIQUÉES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030587325     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0361     Document Type: Article

References (7)

1. 1. T. Abboud, H. Ammari, and G. Lebeau, Asymptotic expansion of the scattered field by a convex grating at high frequencies, C. R. Acad. Sci. Paris Sér. I 321 (1995), 1085-1090.
2. 2. H. D. Alber, A quasi-periodic boundary value problem for the Laplacien and continuation of its resolvent, Proc. Roy. Soc. Edinburgh Sect. A 82 (1979).
3. 3. X. Chen and A. Friedman, Maxwell's equations in a periodic structure, Trans. Amer. Math. Soc. 323 (1991), 465-507.
4. 4. J. C. Nédélec, Quelques propriétés des dérivées logarithmiques des fonctions de Hankel, C.R. Acad. Sci. Paris Sér. I 314 (1992), 507-510.
5. 5. J. C. Nédélec and F. Starling, Integral equation methods in a quasi-periodic diffraction problem for the time-harmonic Maxwell's equations, SIAM J. Math. Anal. 22 (1991), 1679-1701.
6. 6. F. W. J. Olver, "Asymptotics and Special Functions," Academic Press, New York, 1974.
7. 7. C. H. Wilcox, "Scattering Theory for Diffraction Gratings," Appl. Math. Sci., Vol. 46, Springer-Verlag, New York/Berlin, 1984.