TY - JOUR
T1 - Application of the differential method to uniaxial gratings with an infinite number of refraction channels
T2 - Scalar case
AU - Depine, Ricardo A.
AU - Inchaussandague, Marina E.
AU - Lakhtakia, Akhlesh
N1 - Funding Information:
R.A.D. and M.E.I. acknowledge financial support from Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Agencia Nacional de Promoción Científica y Tecnológica (ANPCYT-BID 1201/OC-AR-PICT14099) and Universidad de Buenos Aires. A.L. is grateful for financial support from the Penn State CIRTL Project funded by the US National Science Foundation.
PY - 2006/2/15
Y1 - 2006/2/15
N2 - The differential method (also called the C method) is applied to the diffraction of linearly polarized plane waves at a periodically corrugated boundary between vacuum and a linear, homogeneous, uniaxial, dielectric-magnetic medium characterized by hyperbolic dispersion equations. Numerical results for sinusoidal gratings are presented and compared with those obtained by means of the Rayleigh method, showing that both the differential method and the Rayleigh method can fail to give adequate results for gratings supporting an infinite number of refracted Floquet harmonics.
AB - The differential method (also called the C method) is applied to the diffraction of linearly polarized plane waves at a periodically corrugated boundary between vacuum and a linear, homogeneous, uniaxial, dielectric-magnetic medium characterized by hyperbolic dispersion equations. Numerical results for sinusoidal gratings are presented and compared with those obtained by means of the Rayleigh method, showing that both the differential method and the Rayleigh method can fail to give adequate results for gratings supporting an infinite number of refracted Floquet harmonics.
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U2 - 10.1016/j.optcom.2005.07.067
DO - 10.1016/j.optcom.2005.07.067
M3 - Article
AN - SCOPUS:29344439108
SN - 0030-4018
VL - 258
SP - 90
EP - 96
JO - Optics Communications
JF - Optics Communications
IS - 2
ER -