Abstract
Three finite-sized two-dimensional (2D) periodic arrays of metallic nanoapertures with the shape of nanowave, nanohole, and nanodot have been developed. Using water as an output medium, although the operating wavelengths are larger than the array period, both the focusing and far-field plasmon Talbot effect are experimentally observed, showing a good agreement with the 2D finite-difference time-domain (FDTD) simulation results. The focusing performance in both cases, with the output medium of air and of water, is compared. A detailed investigation of the plasmon Talbot revivals reveals that they are composed of subwavelength hotspots with the size of ∼0.5λ distributed in the same array period as the original device. Three-dimensional FDTD simulations prove that the existence of surface plasmons (SPs) exhibits an enhanced optical transmission at some SP resonant wavelengths dependent on the output medium. Additionally, it is demonstrated that the Talbot revivals provide a high-resolution mean to distinguish the slight geometric nonuniformity in periodic nanostructures.
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Ebbesen TW, Lezec HJ, Ghaemi HF, Thio T, Wolff PA (1998) Extraordinary optical transmission through sub-wavelength hole arrays. Nature 391:667–669
Barnes WL, Dereux A, Ebbesen TW (2003) Surface plasmon subwavelength optics. Nature 424:824–830
Ozbay E (2006) Plasmonics: merging photonics and electronics at nanoscale dimensions. Science 311:189–193
Coe JV, Heer JM, Teeters-Kennedy S, Tian H, Rodriguez KR (2008) Extraordinary transmission of metal films with arrays of subwavelength holes. Annu Rev Phys Chem 59:179–202
Lee MH, Gao H, Henzie J, Odom TW (2007) Microscale arrays of nanoscale holes. Small 3(12):2029–2033
Tamada K, Nakamura F, Ito M, Li XH, Baba A (2007) SPR-based DNA detection with metal nanoparticles. Plasmonics 2(4):185–191
Yong KT, Swihart MT, Ding H, Prasad PN (2009) Preparation of gold nanoparticles and their applications in anisotropic nanoparticle synthesis and bioimaging. Plasmonics 4(2):79–93
Staleva H, Skrabalak SE, Carey CR, Kose T, Xia Y, Hartland GV (2009) Coupling to light, and transport and dissipation of energy in silver nanowires. Phys Chem Chem Phys 11:5889–5896
Cao L, Nome RA, Montgomery JM, Gray SK, Scherer NF (2010) Controlling plasmonic wave packets in silver nanowires. Nano Lett 10(9):3389–3394
Lal S, Link S, Halas NJ (2007) Nano-optics from sensing to waveguiding. Nat Photonics 1:641–648
Kawata S, Inouye Y, Verma P (2009) Plasmonics for near-field nano-imaging and superlensing. Nat Photonics 3:388–394
Atwater HA, Polman A (2010) Plasmonics for improved photovoltaic devices. Nat Mater 9:205–213
McMahon JM, Henzie J, Odom TW, Schatz GC, Gray SK (2007) Tailoring the sensing capabilities of nanohole arrays in gold films with Rayleigh anomaly surface plasmon polaritons. Opt Express 15(26):18119–18129
McPhillips J, Murphy A, Jonsson MP, Hendren WR, Atkinson R, Höök F, Zayats AV, Pollard RJ (2010) High-performance biosensing using arrays of plasmonic nanotubes. ACS Nano 4(4):2210–2216
Sannomiya T, Scholder O, Jefimovs K, Hafner C, Dahlin AB (2011) Investigation of plasmon resonances in metal films with nanohole arrays for biosensing applications. Small 7(12):1653–1663
Lin L, Goh XM, McGuinness LP, Roberts A (2010) Plasmonic lenses formed by two-dimensional nanometric cross-shaped aperture arrays for Fresnel-region focusing. Nano Lett 10(5):1936–1940
Gao H, Hyun JK, Lee MH, Yang JC, Lauhon LJ, Odom TW (2010) Broadband plasmonic microlenses based on patches of nanoholes. Nano Lett 10(10):4111–4116
Homola J, Yee SS, Gauglitz G (1999) Surface plasmon resonance sensors: review. Sensors Actuators B 54:3–15
Degiron A, Lezec HJ, Barnes WL, Ebbesen TW (2002) Effects of hole depth on enhanced light transmission through subwavelength hole arrays. Appl Phys Lett 81(23):4327–4329
Kim JH, Moyer PJ (2006) Transmission characteristics of metallic equilateral triangular nanohole arrays. Appl Phys Lett 89:121106
Klein Koerkamp KJ, Enoch S, Segerink FB, van Hulst NF, Kuipers L (2004) Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes. Phys Rev Lett 92(18):183901
Thio T, Ghaemi HF, Lezec HJ, Wolff PA, Ebbesen TW (1999) Surface-plasmon-enhanced transmission through hole arrays in Cr films. J Opt Soc Am B 16(10):1743–1748
Verslegers L, Catrysse PB, Yu Z, White JS, Barnard ES, Brongersma ML, Fan S (2009) Planar lenses based on nanoscale slit arrays in a metallic film. Nano Lett 9(1):235–238
Huang FM, Kao TS, Fedotov VA, Chen Y, Zheludev NI (2008) Nanohole array as a lens. Nano Lett 8(8):2469–2472
Wang J, Zhou W (2010) Experimental investigation of focusing of gold planar plasmonic lenses. Plasmonics 5(6):325–329
Owa S, Nagasaka H (2004) Advantage and feasibility of immersion lithography. J Microlith Microfab Microsyst 3(1):97–103
Psaltis D, Quake SR, Yang C (2006) Developing optofluidic technology through the fusion of microfluidics and optics. Nature 442:381–386
Monat C, Domachuk P, Eggleton BJ (2007) Integrated optofluidics: a new river of light. Nat Photonics 1:106–114
Talbot HF (1836) Facts relating to optical science, No. IV. Philos Mag 9:401–407
Rayleigh L (1881) On copying diffraction-gratings, and on some phenomena connected therewith. Philos Mag 11(67):196–205
Patorski K (1989) The self imaging phenomenon and its applications. Prog Opt 27:1–108
Liu L (1989) Lau cavity and phase locking of laser arrays. Opt Lett 14(23):1312–1314
Chapman MS, Ekstrom CR, Hammond TD, Schmiedmayer J, Tannian BE, Wehinger S, Pritchard DE (1995) Near-field imaging of atom diffraction gratings: the atomic Talbot effect. Phys Rev A 51(1):R14–R17
Azaña J (2005) Spectral Talbot phenomena of frequency combs induced by cross-phase modulation in optical fibers. Opt Lett 30(3):227–229
Iwanow R, May-Arrioja DA, Christodoulides DN, Stegeman GI, Min Y, Sohler W (2005) Discrete Talbot effect in waveguide arrays. Phys Rev Lett 95:053902
Dennis MR, Zheludev NI, García de Abajo FJ (2007) The plasmon Talbot effect. Opt Express 15(15):9692–9700
Maradudin AA, Leskova TA (2009) The Talbot effect for a surface plasmon polariton. New J Phys 11:033004
Wang Y, Zhou K, Zhang X, Yang K, Wang Y, Song Y, Liu S (2010) Discrete plasmonic Talbot effect in subwavelength metal waveguide arrays. Opt Lett 35(5):685–687
Li L, Fu Y, Wu H, Zheng L, Zhang H, Lu Z, Sun Q, Yu W (2011) The Talbot effect of plasmonic nanolenses. Opt Express 19(20):19365–19373
Zhang W, Zhao C, Wang J, Zhang J (2009) An experimental study of the plasmonic Talbot effect. Opt Express 17(22):19757–19762
Cherukulappurath S, Heinis D, Cesario J, van Hulst NF, Enoch S, Quidant R (2009) Local observation of plasmon focusing in Talbot carpets. Opt Express 17(26):23772–23784
Oosten D, Spasenović M, Kuipers L (2010) Nanohole chains for directional and localized surface plasmon excitation. Nano Lett 10(1):286–290
Ruffieux P, Scharf T, Herzig HP, Völkel R, Weible KJ (2006) On the chromatic aberration of microlenses. Opt Express 14(11):4687–4694
Liu Z, Durant S, Lee H, Pikus Y, Fang N, Xiong Y, Sun C, Zhang X (2007) Far-field optical superlens. Nano Lett 7(2):403–408
Lee HS, Yoon YT, Lee SS, Kim SH, Lee KD (2007) Color filter based on a subwavelength patterned metal grating. Opt Express 15(23):15457–15463
Raether H (1988) Surface plasmons. Springer, Berlin, p 6
Shi H, Wang C, Du C, Luo X, Dong X, Gao H (2005) Beam manipulating by metallic nano-slits with variant widths. Opt Express 13(18):6815–6820
Oskooi AF, Roundy D, Ibanescu M, Bermel P, Joannopoulos JD, Johnson SG (2010) MEEP: a flexible free-software package for electromagnetic simulations by the FDTD method. Comput Phys Commun 181(3):687–702
Vial A, Grimault AS, Macías D, Barchiesi D, de la Chapelle ML (2005) Improved analytical fit of gold dispersion: application to the modeling of extinction spectra with a finite-difference time-domain method. Phys Rev B 71:085416
Isoyan A, Jiang F, Cheng YC, Cerrina F, Wachulak P, Urbanski L, Rocca J, Menoni C, Marconi M (2009) Talbot lithography: self-imaging of complex structures. J Vac Sci Technol B 27(6):2931–2937
Park J, Park JH, Kim E, Ahn CW, Jang HI, Rogers JA, Jeon S (2011) Conformal solid-index phase masks composed of high-aspect-ratio micropillar arrays and their application to 3D nanopatterning. Adv Mater 23:860–864
Acknowledgments
We thank Lars Friedrich for his help in performing the first optical characterization. We acknowledge the financial support by the Postdoctoral Research Fellowship from the Alexander von Humboldt Foundation, Germany. This work was partially carried out with the support of the Karlsruhe Nano Micro Facility (www.knmf.kit.edu), a Helmholtz Research Infrastructure at Karlsruhe Institute of Technology (www.kit.edu).
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Yu, Y., Chassaing, D., Scherer, T. et al. The Focusing and Talbot Effect of Periodic Arrays of Metallic Nanoapertures in High-Index Medium. Plasmonics 8, 723–732 (2013). https://doi.org/10.1007/s11468-012-9463-0
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DOI: https://doi.org/10.1007/s11468-012-9463-0