Resonance Absorption of Light By Subwavelength Diffractive Gratings

Abstract

Diffraction of light of a visible spectral range by subwavelength metal gratings is investigated theoretically and experimentally. The influence of different grating parameters (filling factor, shape and depth, material, angle of incidence, wavelength and polarization of radiation) on diffraction efficiency is investigated. The conditions are found under which there are only zero diffraction order and the minus first order. It is established that the zero order can be suppressed by selecting the depth and shape of the grating relief. High diffraction efficiency in the -1st order is observed with increasing depth of the grating relief (more than 70% at a depth h = 80 nm). It is shown that under certain conditions an effect of plasmon resonance occurs, at which there is a complete absorption of the incident radiation. The considered optical elements can be used in systems for image processing, projection displays, in the development of a variety of sensors, etc.


Keywords: subwavelength grating, diffraction efficiency, plasmon resonance

References
[1] S. Tibuleac, R. Magnusson, “Reflection and transmission guided-mode resonance filters,” J. Opt. Soc. Am. A, vol. 14, pp. 1617- 1626, 1997.


[2] Ghaemi H.F., Thio T., Grupp D.E., Ebbesen T.W., Lezec H.J., “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B, vol. 58, pp. 6779- 6782, 1998.


[3] A.V. Andreev, A.A. Korneev, L.S. Mukina, M.M. Nazarov, I.R. Prudnikov, A.P. Shkurinov, “Peculiarities of excitation of surface plasmons upon noncollinear light scattering,” Quantum Electronics, vol. 35, pp. 27-32, 2005.


[4] A. V. Andreev, Yu. V. Grishchenko, M. I. Dobynde, T. V. Dolgova, et. al.,” Optical properties of one-dimensional subwave plasmonic nanostructures,” JETP Letters, vol. 92, pp. 742-745, 2010.


[5] S. Block, E. Gamet, F. Pigeon, “Semiconductor laser with external resonant grating mirror,” IEEE J. Quantum Electron., vol. 41, pp. 1049-1053, 2005.


[6] D. Fattal, J. Li, Z. Peng, M. Fiorentino, R.G. Beausoleil, ”Flat dielectric grating reflectors with focusing abilities,” Nature Photonics, vol. 4, pp. 466-470, 2010.


[7] Y.C. Cheng, H. Zeng, J. Trull, C. Cojocaru, M. Malinauskas, T. Jukna, D.S. Wiersma, K. Staliunas, “Beam focalization in reflection from flat dielectric subwavelength gratings,” Opt Lett., vol. 39, pp. 6086-6089, 2014.


[8] H. Dammann, “Color separation gratings,” Applied Optics, vol. 17, 2273-2279, 1978.


[9] M.W. Farn, M.B. Stern, W.B. Veldkamp, S.S. Medeiros, “Color separation by use of binary optics,“ Optics Letters, vol. 18, 1214-1216, 1993.


[10] Chun-Wei Liu, Chi-Hung Lee, Tzu-Chun Yang, Chia-Jen Ting, Tsung-Hsin Lin, Shih- Chieh Lin, “Submicrometer grating light bar for a color-separation backlight,” Applied Optics, vol. 52, pp. 3617-3623, 2013.


[11] W.B. Veldkamp, J.R. Leger, G.J. Swanson, “Coherent summation of laser beams using binary phase gratings,” Optics Letters, vol. 11, pp. 303-305, 1986.


[12] E.C. Cheung, J.G. Ho, G.D. Goodno, R.R. Rice, J. Rothenberg, P. Thielen, M. Weber, M. Wickham, “Diffractive-optics-based beam combination of a phase-locked fiber laser array,” Optics Letters, vol. 33, pp. 354-357, 2008.


[13] T. Shiono, T. Hamamoto, K. Takahara, “High-efficiency blazed diffractive optical elements for the violet wavelength fabricated by electron-beam lithography,” Applied Optics, vol. 41, pp. 2390-2393, 2002.


[14] N. Destouches, A.V. Tishchenko, J.C Pommier, S. Reynaud, O. Parriaux, S. Tonchev, M. Abdou Ahmed, “99% efficiency measured in the -1st order of a resonant grating, “Opt. Express, vol. 13, no. 9, pp. 3230-3235, 2005.


[15] N.I. Petrov, “Frustrated-total-internal-reflection-based thin-film color separator,” Optics Letters, vol. 32, pp. 2744-2746, 2007


[16] N.I. Petrov, V.G. Nikitin, V.A. Danilov, V.V. Popov, B.A. Usievich, “Subwavelength diffractive color beam combiner,” Applied Optics, vol. 53, pp. 5740-5744, 2014.


[17] B. Vial, G. Demesy, F. Zolla, et.al., “Resonant metamaterial absorbers for infrared spectral filtering: quasimodal analysis, design, fabrication, and characterization,” JOSA B, vol. 31. pp. 1339-1346, 2014.


[18] D.A. Gremaux, N.C. Gallagher, ”Limits of scalar diffraction theory for conducting gratings,” Appl. Opt., vol. 32, pp. 1948-1953, 1993.


[19] N. Lyndin ‘MC Grating Software Development Company, ’http://www.mcgrating.com/.


[20] J. Chandezon, D. Maystre, G. Raoult, “A new theoretical method for diffraction gratings and its numerical application,” J. Optics (Paris), vol. 11, pp. 235-241, 1980.


[21] J. Chandezon, M.T. Dupuis, G. Cornet, “Multicoated gratings: a differential formalism applicable in the entire optical region,” J. Opt. Soc. Am., vol. 72, pp. 839-846, 1982.


[22] M.G. Moharam, E.B. Grann, D.A. Pommet, “Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,” J. Opt. Soc. Am. A, vol. 12, pp. 1068-1076, 1995.


[23] H. Raether. Surface Plasmons on Smooth and Rough Surface and on Gratings (Springer-Verlag, Berlin, 1988).


[24] T. Fujita, H. Nishihara, J. Koyama, ”Blazed gratings and Fresnel lenses fabricated by electron-beam lithography,” Optics Letters, vol. 7, pp. 578-580, 1982.


[25] T. Novikova, A. De Martino, P. Bulkin, Q. Nguyen, B. Drevillon, V. Popov, A. Chumakov, “Metrology of replicated diffractive optics with Mueller polarimetry in conical diffraction,” Optics Express, vol. 15, pp. 2033-2046, 2007.


[26] Weichung Chaoa, Sien Chi, Ching Yi Wu, Chung J. Kuo, “Computer-generated holographic diffuser for color mixing,“ Optics Communications, vol. 151, pp. 21-24, 1998.


[27] Xiaoliang Sun, Xuewen Shu, and Changhong Chen, “Grating surface plasmon resonance sensor: angular sensitivity, metal oxidization effect of Al-based device in optimal structure,” Applied Optics, vol. 54, pp. 1548-1554, 2015.


[28] N.I. Petrov, V.A. Danilov, V.V. Popov, B.A. Usievich, “Excitation of surface plasmons in subwavelength gratings,” Frontiers in Optics/Laser Science Conference (FiO/LS), Washington, USA, 2017, Paper JW3A.107.