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We investigate the reflected response of one-dimensional metallic grating with rigid coupled-wave analysis. Three types of resonance absorptions, i.e., Rayleigh anomaly, surface plasmon polariton (SPP) standing wave resonance and geometric resonance, are identified in the gray-scale map of the reflectivity as a function of two structural parameters: grating period and groove depth. Furthermore, the interactions among these resonances are discussed. Our calculation reveals that a hybrid mode of SPP standing wave resonance and geometric resonance can be found, while no hybrid mode of Rayleigh anomaly and geometric resonance exists. In the analysis of compound gratings, we find phase resonance. How the phase resonance changes the reflection and the absorption of compound metallic gratings is also discussed. When the wavelength of incident light is less than grating period, sharp dip is found in reflectivity as a function of groove depth. In the other case, i.e. Wavelength greater than grating period, phase resonance results in a split of the hybrid absorption branch of SPP standing wave resonance and geometric resonance.
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Keywords:
- one-dimensional metallic gratings /
- Rayleigh anomaly /
- surface plasmon polaritons /
- phase resonance
[1] Wood R W 1902 Philos. Mag. 4 396
[2] Rayleigh J W S 1907 Philos. Mag. 14 60
[3] Hessel A, Oliner A A 1965 Appl. Opt. 4 1275
[4] Petit R 1980 Electromagnetic Theory of Gratings (New York: Springer-Verlag)
[5] Takakura Y 2001 Phys. Rev. Lett. 86 5601
[6] Garcia-Vidal F J, Ebbesen T W, Kuipers L 2010 Rev. Mod. Phys. 82 729
[7] López-Ríos T, Mendoza D, Garcia-Vidal F J, Sanchez-Dehesa J, Pannetier B 1998 Phys. Rev. Lett. 81 665.
[8] Sødergaard T, Bozhevolnyi S 2009 Phys. Rev. B 80 195407
[9] Skigin D, Depine R 2005 Phys. Rev. Lett. 95 217402
[10] Hibbins A, Hooper I, Lockyear M, Sambles J R 2006 Phys. Rev. Lett. 96
[11] Xiang D, Wang L L, Li X F, Wang L, Zhai X, Liu Z H, Zhao W W 2011 Opt. Exp. 19 2187
[12] Liu Z, Li H, Xie S, Xu H, Fu S, Zhou X, Wu C 2011 Opt. Exp. 19 4217
[13] Skigin D C, Fantino A N, Grosz S I 2003 J. Opt. A: Pure and Appl. Opt. 5 S129
[14] Barbara A, Collin S, Sauvan C, Le Perchec J, Maxime C, Pelouard J L, Quémerais P 2010 Opt. Exp. 18 14913
[15] Barbara A, Quémerais P, Bustarret E, López-Ríos T, Fournier T 2003 Eur. Phys. J. D 23 143
[16] Le Perchec J, Quémerais P, Barbara A, López-Ríos T 2006 Phys. Rev. Lett. 97 026405
[17] Moharam M G, Grann E B, Pommet D A, Gaylord T K 1995 J. Opt. Soc. Am. A 12 1068
[18] Li L 1997 J. Opt. Soc. Am. A 14 2758
[19] Johnson P B, Christy R W 1972 Phys. Rev. B 6 4370
[20] Moharam M G, Grann E B, Pommet D A, Gaylord T K 1995 J. Opt. Soc. Am. A 12 1077
[21] Lalanne P, Morris G 1996 J. Opt. Soc. Am. A 13 779
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[1] Wood R W 1902 Philos. Mag. 4 396
[2] Rayleigh J W S 1907 Philos. Mag. 14 60
[3] Hessel A, Oliner A A 1965 Appl. Opt. 4 1275
[4] Petit R 1980 Electromagnetic Theory of Gratings (New York: Springer-Verlag)
[5] Takakura Y 2001 Phys. Rev. Lett. 86 5601
[6] Garcia-Vidal F J, Ebbesen T W, Kuipers L 2010 Rev. Mod. Phys. 82 729
[7] López-Ríos T, Mendoza D, Garcia-Vidal F J, Sanchez-Dehesa J, Pannetier B 1998 Phys. Rev. Lett. 81 665.
[8] Sødergaard T, Bozhevolnyi S 2009 Phys. Rev. B 80 195407
[9] Skigin D, Depine R 2005 Phys. Rev. Lett. 95 217402
[10] Hibbins A, Hooper I, Lockyear M, Sambles J R 2006 Phys. Rev. Lett. 96
[11] Xiang D, Wang L L, Li X F, Wang L, Zhai X, Liu Z H, Zhao W W 2011 Opt. Exp. 19 2187
[12] Liu Z, Li H, Xie S, Xu H, Fu S, Zhou X, Wu C 2011 Opt. Exp. 19 4217
[13] Skigin D C, Fantino A N, Grosz S I 2003 J. Opt. A: Pure and Appl. Opt. 5 S129
[14] Barbara A, Collin S, Sauvan C, Le Perchec J, Maxime C, Pelouard J L, Quémerais P 2010 Opt. Exp. 18 14913
[15] Barbara A, Quémerais P, Bustarret E, López-Ríos T, Fournier T 2003 Eur. Phys. J. D 23 143
[16] Le Perchec J, Quémerais P, Barbara A, López-Ríos T 2006 Phys. Rev. Lett. 97 026405
[17] Moharam M G, Grann E B, Pommet D A, Gaylord T K 1995 J. Opt. Soc. Am. A 12 1068
[18] Li L 1997 J. Opt. Soc. Am. A 14 2758
[19] Johnson P B, Christy R W 1972 Phys. Rev. B 6 4370
[20] Moharam M G, Grann E B, Pommet D A, Gaylord T K 1995 J. Opt. Soc. Am. A 12 1077
[21] Lalanne P, Morris G 1996 J. Opt. Soc. Am. A 13 779
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