Multi-Slit Diffraction of Evanescent Electromagnetic Waves
SONG Zhen-Ming, CHEN Yong-Yao, XU Bo, LI Yan-Feng, HU Ming-Lie, XING Qi-Rong, ZHANG Zhi-Gang, CHAI Lu, WANG Qing-Yue
Ultrafast Laser Laboratory, Key Laboratory of Optoelectronic Information Technical Science, College of Precision Instrument and Optoelectronics Engineering, Tianjin University, Tianjin 300072
Multi-Slit Diffraction of Evanescent Electromagnetic Waves
SONG Zhen-Ming;CHEN Yong-Yao;XU Bo;LI Yan-Feng;HU Ming-Lie;XING Qi-Rong;ZHANG Zhi-Gang;CHAI Lu;WANG Qing-Yue
Ultrafast Laser Laboratory, Key Laboratory of Optoelectronic Information Technical Science, College of Precision Instrument and Optoelectronics Engineering, Tianjin University, Tianjin 300072
摘要The well-known Fraunhofer multi-slit diffraction is described as the multi-slit interference modulated by the single-slit diffraction, namely the multiplication between the single-slit diffraction factor and the multi-slit interference factor. By considering the simplified argument we show that the multi-slit diffraction of evanescent waves which are in the near-field region also has the interference and diffraction effects, and that this two-fold effect can be expressed as the convolution of the diffraction factor and the interference factor. Our conclusion could be helpful to understand the contribution of evanescent waves to the optical responses of sub-wavelength structures such as slits and grooves.
Abstract:The well-known Fraunhofer multi-slit diffraction is described as the multi-slit interference modulated by the single-slit diffraction, namely the multiplication between the single-slit diffraction factor and the multi-slit interference factor. By considering the simplified argument we show that the multi-slit diffraction of evanescent waves which are in the near-field region also has the interference and diffraction effects, and that this two-fold effect can be expressed as the convolution of the diffraction factor and the interference factor. Our conclusion could be helpful to understand the contribution of evanescent waves to the optical responses of sub-wavelength structures such as slits and grooves.
[1] Lezec H J and Thio T 2004 Opt. Exp. 12 3629 [2] Gay G, Viaris de Lesegno B, Mathevet R, Lezec H J andWeiner J 2005 J. Phys.: Conference Series 19 102 [3] Gay G, Alloschery O, Viaris de Lesegno B, O'Dwyer C,Weiner J and Lezec H J http://arxiv.org/abs/physics/0602094 [4] Ebbesen T W, Lezec H J, Ghaemi H F, Thio T and Wolff P A1998 Nature 391 667 [5] Garc\ia-Vidal F J, Lezec H J, Ebbesen T W andMart\in-Moreno L 2003 Phys. Rev. Lett. 90 213901 [6] Lezec H J, Degiron A, Devaux E, Linke R A,Mart\in-Moreno M, Garc\ia-Vidal F J and Ebbesen T W 2002 Science 297 820 [7] Mart\in-Moreno L, Garc\ia-Vidal F J, Lezec H J,Degiron A and Ebbesen T W 2003 Phys. Rev. Lett. 90167401 [8] Born M and Wolf E 1980 Principles of Optics 6th edn(New York: Pergamon) [9] Maystre D 1984 Progress in Optics ed Wolf E (NewYork: North-Holland) vol XXI pp 1--67 [10] Bertilone D C 1991 J. Mod. Opt. 38 865 [11] Kowarz M W 1995 Appl. Opt. 34 3055 [12] Chae K M, Le H H, Yim S Y and Park S H 2004 Opt.Exp. 12 2870