Abstract

Using an L-shaped metal nanoslit to generate waves of the pure photonic and plasmonic modes simultaneously, we perform an experimental solution for the scattered imaging of the interference of the two waves. From the fringe data of interference, the amplitudes and the wavevector components of the two waves are obtained. The initial phases of the two waves are obtained from the phase map reconstructed with the interference of the scattered image and the reference wave in the interferometer. The difference in the wavevector components gives rise to an additional phase delay. We introduce the scattering theory under Kirchhoff’s approximation to metal slit regime and explain the wavevector difference reasonably. The solution of the quantities is a comprehensive reflection of excitation, scattering and interference of the two waves. By decomposing the polarized incident field with respect to the slit element, the scattered image produced by slit of arbitrary shape can be solved with the nanoscale Huygens-Fresnel principle. This is demonstrated by the experimental intensity pattern and phase map produced by a ring-slit and its consistency with the calculated results.

© 2015 Optical Society of America

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    [Crossref] [PubMed]

2014 (4)

M. H. Shih, “Small and fast plasmonic modulator,” Nat. Photonics 8(3), 171 (2014).
[Crossref]

F. F. Wei, D. Lu, H. Shen, W. W. Wan, J. L. Ponsetto, E. Huang, and Z. W. Liu, “Wide field super-resolution surface imaging through plasmonic structured illumination microscopy,” Nano Lett. 14(8), 4634–4639 (2014).
[Crossref] [PubMed]

A. Ourir and M. Fink, “Subwavelength far-field imaging at visible and ultraviolet wavelengths using broadband surface plasmon waves,” Phys. Rev. B 89(11), 115403 (2014).
[Crossref]

K. Xiao, S. B. Wei, C. J. Min, G. H. Yuan, S. W. Zhu, T. Lei, and X. C. Yuan, “Dynamic cosine-Gauss plasmonic beam through phase control,” Opt. Express 22(11), 13541–13546 (2014).
[Crossref] [PubMed]

2013 (9)

R. Lopez-Boada, C. J. Regan, D. Dominguez, A. A. Bernussi, and L. Grave de Peralta, “Fundaments of optical far-field subwavelength resolution based on illumination with surface waves,” Opt. Express 21(10), 11928–11942 (2013).
[Crossref] [PubMed]

X. Li, G. T. Liang, Z. H. Li, C. X. Liu, and C. F. Cheng, “Tetrad phase vortex structure in scattered SPP field produced by silver nano-ring-slit under linearly polarized illumination,” Opt. Express 21(15), 18442–18451 (2013).
[Crossref] [PubMed]

J. Polanco, R. M. Fitzgerald, and A. A. Maradudin, “Scattering of surface plasmon polaritons by one-dimensional surface defects,” Phys. Rev. B 87(15), 155417 (2013).
[Crossref]

S. Ishii, V. M. Shalaev, and A. V. Kildishev, “Holey-metal lenses: sieving single modes with proper phases,” Nano Lett. 13(1), 159–163 (2013).
[Crossref] [PubMed]

P. Dvořák, T. Neuman, L. Břínek, T. Šamořil, R. Kalousek, P. Dub, P. Varga, and T. Šikola, “Control and near-field detection of surface Plasmon interference patterns,” Nano Lett. 13(6), 2558–2563 (2013).
[Crossref] [PubMed]

J. Lin, J. P. Mueller, Q. Wang, G. H. Yuan, N. Antoniou, X. C. Yuan, and F. Capasso, “Polarization-controlled tunable directional coupling of surface plasmon polaritons,” Science 340(6130), 331–334 (2013).
[Crossref] [PubMed]

Y. Gorodetski, A. Drezet, C. Genet, and T. W. Ebbesen, “Generating far-field orbital angular momenta from near-field optical chirality,” Phys. Rev. Lett. 110(20), 203906 (2013).
[Crossref] [PubMed]

D. Benner, J. Boneberg, P. Nurnberger, G. Ghafoori, P. Leiderer, and E. Scheer, “Transmission of surface plasmon polaritons through atomic-size constrictions,” New J. Phys. 15(11), 113014 (2013).
[Crossref]

T. J. Constant, A. P. Hibbins, A. J. Lethbridge, J. R. Sambles, E. K. Stone, and P. Vukusic, “Direct mapping of surface plasmon dispersion using imaging scatterometry,” Appl. Phys. Lett. 102(25), 251107 (2013).
[Crossref]

2012 (6)

J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Fornel, and F. Capasso, “Cosine-Gauss Plasmon Beam: A localized long-range nondiffracting surface wave,” Phys. Rev. Lett. 109(9), 093904 (2012).
[Crossref] [PubMed]

Y. Gorodetski, K. Y. Bliokh, B. Stein, C. Genet, N. Shitrit, V. Kleiner, E. Hasman, and T. W. Ebbesen, “Weak Measurements of Light Chirality with a Plasmonic Slit,” Phys. Rev. Lett. 109(1), 013901 (2012).
[Crossref] [PubMed]

X. J. Ni, N. K. Emani, A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “Broadband light bending with plasmonic nanoantennas,” Science 335(6067), 427 (2012).
[Crossref] [PubMed]

H. Wei and H. X. Xu, “Controlling surface plasmon interference in branched silver nanowire structures,” Nanoscale 4(22), 7149–7154 (2012).
[Crossref] [PubMed]

R. Mehfuz, F. A. Chowdhury, and K. J. Chau, “Imaging slit-coupled surface plasmon polaritons using conventional optical microscopy,” Opt. Express 20(10), 10526–10537 (2012).
[Crossref] [PubMed]

B. Stein, E. Devaux, C. Genet, and T. W. Ebbesen, “Self-collimation of surface plasmon beams,” Opt. Lett. 37(11), 1916–1918 (2012).
[Crossref] [PubMed]

2011 (7)

S. Ishii, A. V. Kildishev, V. M. Shalaev, K. P. Chen, and V. P. Drachev, “Metal nanoslit lenses with polarization-selective design,” Opt. Lett. 36(4), 451–453 (2011).
[Crossref] [PubMed]

L. Grave de Peralta, “Does the leakage radiation profile mirror the intensity profile of surface plasmon polaritons?: comment,” Opt. Lett. 36(13), 2516 (2011).
[Crossref] [PubMed]

G. Y. Li, F. Xiao, L. Cai, K. Alameh, and A. S. Xu, “Theory of the scattering of light and surface plasmon polaritons by finite-size subwavelength metallic defects via field decomposition,” New J. Phys. 13(7), 073045 (2011).
[Crossref]

T. Shegai, V. D. Miljković, K. Bao, H. Xu, P. Nordlander, P. Johansson, and M. Käll, “Unidirectional broadband light emission from supported plasmonic nanowires,” Nano Lett. 11(2), 706–711 (2011).
[Crossref] [PubMed]

L. Grave de Peralta, R. Lopez-Boada, A. Ruiz-Columbié, S. Park, and A. A. Bernussi, “Some consequences of experiments with a plasmonic quantum eraser for plasmon tomography,” J. Appl. Phys. 109(2), 023101 (2011).
[Crossref]

A. Houk, R. Lopez-Boada, A. Ruiz-Columbié, S. Park, A. A. Bernussi, and L. Grave de Peralta, “Erratum: “Some consequences of experiments with a plasmonic quantum eraser for plasmon tomography,” J. Appl. Phys. 109(11), 119901 (2011).
[Crossref]

J. Trevino, H. Cao, and L. Dal Negro, “Circularly Symmetric Light Scattering from Nanoplasmonic Spirals,” Nano Lett. 11(5), 2008–2016 (2011).
[Crossref] [PubMed]

2010 (6)

Z. P. Li, K. Bao, Y. R. Fang, Y. Z. Huang, P. Nordlander, and H. X. Xu, “Correlation between Incident and Emission Polarization in Nanowire Surface Plasmon Waveguides,” Nano Lett. 10(5), 1831–1835 (2010).
[Crossref] [PubMed]

A. Krishnan, C. J. Regan, L. Grave de Peralta, and A. A. Bernussi, “Resonant coupling in dielectric loaded plasmonic waveguides,” Appl. Phys. Lett. 97(23), 231110 (2010).
[Crossref]

J. Ajimo, M. Marchante, A. Krishnan, A. A. Bernussi, and L. Grave de Peralta, “Plasmonic implementation of a quantum eraser for imaging applications,” J. Appl. Phys. 108(6), 063110 (2010).
[Crossref]

H. T. Liu and P. Lalanne, “Light scattering by metallic surfaces with subwavelength patterns,” Phys. Rev. B 82(11), 115418 (2010).
[Crossref]

Q. Wang, J. Bu, and X. C. Yuan, “High-resolution 2D plasmonic fan-out realized by subwavelength slit arrays,” Opt. Express 18(3), 2662–2667 (2010).
[Crossref] [PubMed]

X. M. Goh, L. Lin, and A. Roberts, “Planar focusing elements using spatially varying near-resonant aperture arrays,” Opt. Express 18(11), 11683–11688 (2010).
[Crossref] [PubMed]

2009 (10)

J. Wang, W. Zhou, and A. K. Asundi, “Effect of polarization on symmetry of focal spot of a plasmonic lens,” Opt. Express 17(10), 8137–8143 (2009).
[Crossref] [PubMed]

T. V. Teperik, A. Archambault, F. Marquier, and J. J. Greffet, “Huygens-Fresnel principle for surface plasmons,” Opt. Express 17(20), 17483–17490 (2009).
[Crossref] [PubMed]

S. Y. Yang, W. B. Chen, R. L. Nelson, and Q. W. Zhan, “Miniature circular polarization analyzer with spiral plasmonic lens,” Opt. Lett. 34(20), 3047–3049 (2009).
[Crossref] [PubMed]

W. Dai and C. M. Soukoulis, “Theoretical analysis of the surface wave along a metal-dielectric interface,” Phys. Rev. B 80(15), 155407 (2009).
[Crossref]

X. Y. Yang, H. T. Liu, and P. Lalanne, “Cross conversion between surface plasmon polaritons and quasicylindrical waves,” Phys. Rev. Lett. 102(15), 153903 (2009).
[Crossref] [PubMed]

T. V. Archambault, F. Teperik, F. Marquier, and J. J. Greffet, “Surface plasmon Fourier optics,” Phys. Rev. B 79(19), 195414 (2009).
[Crossref]

Y. Gorodetski, N. Shitrit, I. Bretner, V. Kleiner, and E. Hasman, “Observation of Optical Spin Symmetry Breaking in Nanoapertures,” Nano Lett. 9(8), 3016–3019 (2009).
[Crossref] [PubMed]

J. A. Hutchison, S. P. Centeno, H. Odaka, H. Fukumura, J. Hofkens, and H. Uji-I, “Subdiffraction Limited, Remote Excitation of Surface Enhanced Raman Scattering,” Nano Lett. 9(3), 995–1001 (2009).
[Crossref] [PubMed]

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G. M. Lerman, A. Yanai, and U. Levy, “Demonstration of nanofocusing by the use of plasmonic lens illuminated with radially polarized Light,” Nano Lett. 9(5), 2139–2143 (2009).
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2008 (5)

J. Grandidier, S. Massenot, G. Colas des Francs, A. Bouhelier, J. C. Weeber, L. Markey, and A. Dereux, “Dielectric-loaded surface plasmon polariton waveguides: figures of merit and mode characterization by image and Fourier plane leakage microscopy,” Phys. Rev. Lett. 78(1), 245419 (2008).

F. L. Tejeira, S. G. Rodrigo, L. M. Moreno, F. J. García-Vidal, E. Devaux, J. Dintinger, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Modulation of surface plasmon coupling-in by one-dimensional surface corrugation,” New J. Phys. 10(3), 033035 (2008).
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2007 (4)

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2006 (2)

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon polariton Mach–Zehnder interferometer and oscillation fringes,” Plasmonics 1(2–4), 141–145 (2006).
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T. Grosjean and D. Courjon, “Polarization filtering induced by imaging systems: effect on image structure,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4), 046611 (2003).
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2001 (1)

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner, F. R. Aussenegg, and J. C. Weeber, “Surface plasmon propagation in microscale metal stripes,” Appl. Phys. Lett. 79(1), 51–53 (2001).
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A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon polariton Mach–Zehnder interferometer and oscillation fringes,” Plasmonics 1(2–4), 141–145 (2006).
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B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner, F. R. Aussenegg, and J. C. Weeber, “Surface plasmon propagation in microscale metal stripes,” Appl. Phys. Lett. 79(1), 51–53 (2001).
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W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
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Boltasseva, A.

X. J. Ni, N. K. Emani, A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “Broadband light bending with plasmonic nanoantennas,” Science 335(6067), 427 (2012).
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Boneberg, J.

D. Benner, J. Boneberg, P. Nurnberger, G. Ghafoori, P. Leiderer, and E. Scheer, “Transmission of surface plasmon polaritons through atomic-size constrictions,” New J. Phys. 15(11), 113014 (2013).
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Bozhevolnyi, S. I.

F. L. Tejeira, S. G. Rodrigo, L. M. Moreno, F. J. García-Vidal, E. Devaux, J. Dintinger, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Modulation of surface plasmon coupling-in by one-dimensional surface corrugation,” New J. Phys. 10(3), 033035 (2008).
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F. L. Tejeira, S. G. Rodrigo, L. M. Moreno, F. J. García-Vidal, E. Devaux, J. Dintinger, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Efficient unidirectional nanoslit couplers forsurface plasmons,” Nat. Phys. 3(5), 324–328 (2007).
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P. Dvořák, T. Neuman, L. Břínek, T. Šamořil, R. Kalousek, P. Dub, P. Varga, and T. Šikola, “Control and near-field detection of surface Plasmon interference patterns,” Nano Lett. 13(6), 2558–2563 (2013).
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Bu, J.

Cai, L.

G. Y. Li, F. Xiao, L. Cai, K. Alameh, and A. S. Xu, “Theory of the scattering of light and surface plasmon polaritons by finite-size subwavelength metallic defects via field decomposition,” New J. Phys. 13(7), 073045 (2011).
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J. Lin, J. P. Mueller, Q. Wang, G. H. Yuan, N. Antoniou, X. C. Yuan, and F. Capasso, “Polarization-controlled tunable directional coupling of surface plasmon polaritons,” Science 340(6130), 331–334 (2013).
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J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Fornel, and F. Capasso, “Cosine-Gauss Plasmon Beam: A localized long-range nondiffracting surface wave,” Phys. Rev. Lett. 109(9), 093904 (2012).
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Chen, K. P.

Chen, W. B.

Cheng, C. F.

Chowdhury, F. A.

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A. Christ, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Waveguide-plasmon polaritons: strong coupling of photonic and electronic resonances in a metallic photonic crystal slab,” Phys. Rev. Lett. 91(18), 183901 (2003).
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J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Fornel, and F. Capasso, “Cosine-Gauss Plasmon Beam: A localized long-range nondiffracting surface wave,” Phys. Rev. Lett. 109(9), 093904 (2012).
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J. Grandidier, S. Massenot, G. Colas des Francs, A. Bouhelier, J. C. Weeber, L. Markey, and A. Dereux, “Dielectric-loaded surface plasmon polariton waveguides: figures of merit and mode characterization by image and Fourier plane leakage microscopy,” Phys. Rev. Lett. 78(1), 245419 (2008).

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T. J. Constant, A. P. Hibbins, A. J. Lethbridge, J. R. Sambles, E. K. Stone, and P. Vukusic, “Direct mapping of surface plasmon dispersion using imaging scatterometry,” Appl. Phys. Lett. 102(25), 251107 (2013).
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J. Trevino, H. Cao, and L. Dal Negro, “Circularly Symmetric Light Scattering from Nanoplasmonic Spirals,” Nano Lett. 11(5), 2008–2016 (2011).
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J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Fornel, and F. Capasso, “Cosine-Gauss Plasmon Beam: A localized long-range nondiffracting surface wave,” Phys. Rev. Lett. 109(9), 093904 (2012).
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Dellinger, J.

J. Lin, J. Dellinger, P. Genevet, B. Cluzel, F. de Fornel, and F. Capasso, “Cosine-Gauss Plasmon Beam: A localized long-range nondiffracting surface wave,” Phys. Rev. Lett. 109(9), 093904 (2012).
[Crossref] [PubMed]

Dereux, A.

F. L. Tejeira, S. G. Rodrigo, L. M. Moreno, F. J. García-Vidal, E. Devaux, J. Dintinger, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Modulation of surface plasmon coupling-in by one-dimensional surface corrugation,” New J. Phys. 10(3), 033035 (2008).
[Crossref]

J. Grandidier, S. Massenot, G. Colas des Francs, A. Bouhelier, J. C. Weeber, L. Markey, and A. Dereux, “Dielectric-loaded surface plasmon polariton waveguides: figures of merit and mode characterization by image and Fourier plane leakage microscopy,” Phys. Rev. Lett. 78(1), 245419 (2008).

F. L. Tejeira, S. G. Rodrigo, L. M. Moreno, F. J. García-Vidal, E. Devaux, J. Dintinger, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Efficient unidirectional nanoslit couplers forsurface plasmons,” Nat. Phys. 3(5), 324–328 (2007).
[Crossref]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[Crossref] [PubMed]

Devaux, E.

B. Stein, E. Devaux, C. Genet, and T. W. Ebbesen, “Self-collimation of surface plasmon beams,” Opt. Lett. 37(11), 1916–1918 (2012).
[Crossref] [PubMed]

F. L. Tejeira, S. G. Rodrigo, L. M. Moreno, F. J. García-Vidal, E. Devaux, J. Dintinger, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Modulation of surface plasmon coupling-in by one-dimensional surface corrugation,” New J. Phys. 10(3), 033035 (2008).
[Crossref]

F. L. Tejeira, S. G. Rodrigo, L. M. Moreno, F. J. García-Vidal, E. Devaux, J. Dintinger, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Efficient unidirectional nanoslit couplers forsurface plasmons,” Nat. Phys. 3(5), 324–328 (2007).
[Crossref]

Dintinger, J.

F. L. Tejeira, S. G. Rodrigo, L. M. Moreno, F. J. García-Vidal, E. Devaux, J. Dintinger, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Modulation of surface plasmon coupling-in by one-dimensional surface corrugation,” New J. Phys. 10(3), 033035 (2008).
[Crossref]

F. L. Tejeira, S. G. Rodrigo, L. M. Moreno, F. J. García-Vidal, E. Devaux, J. Dintinger, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Efficient unidirectional nanoslit couplers forsurface plasmons,” Nat. Phys. 3(5), 324–328 (2007).
[Crossref]

Ditlbacher, H.

A. Drezet, A. Hohenau, D. Koller, A. Stepanov, H. Ditlbacher, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Leakage radiation microscopy of surface plasmon polaritons,” Mater. Sci. Eng. B 149(3), 220–229 (2008).
[Crossref]

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon polariton Mach–Zehnder interferometer and oscillation fringes,” Plasmonics 1(2–4), 141–145 (2006).
[Crossref]

B. Lamprecht, J. R. Krenn, G. Schider, H. Ditlbacher, M. Salerno, N. Felidj, A. Leitner, F. R. Aussenegg, and J. C. Weeber, “Surface plasmon propagation in microscale metal stripes,” Appl. Phys. Lett. 79(1), 51–53 (2001).
[Crossref]

Dominguez, D.

Drachev, V. P.

Drezet, A.

Y. Gorodetski, A. Drezet, C. Genet, and T. W. Ebbesen, “Generating far-field orbital angular momenta from near-field optical chirality,” Phys. Rev. Lett. 110(20), 203906 (2013).
[Crossref] [PubMed]

A. Drezet, A. Hohenau, D. Koller, A. Stepanov, H. Ditlbacher, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Leakage radiation microscopy of surface plasmon polaritons,” Mater. Sci. Eng. B 149(3), 220–229 (2008).
[Crossref]

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon polariton Mach–Zehnder interferometer and oscillation fringes,” Plasmonics 1(2–4), 141–145 (2006).
[Crossref]

Dub, P.

P. Dvořák, T. Neuman, L. Břínek, T. Šamořil, R. Kalousek, P. Dub, P. Varga, and T. Šikola, “Control and near-field detection of surface Plasmon interference patterns,” Nano Lett. 13(6), 2558–2563 (2013).
[Crossref] [PubMed]

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P. Dvořák, T. Neuman, L. Břínek, T. Šamořil, R. Kalousek, P. Dub, P. Varga, and T. Šikola, “Control and near-field detection of surface Plasmon interference patterns,” Nano Lett. 13(6), 2558–2563 (2013).
[Crossref] [PubMed]

Ebbesen, T. W.

Y. Gorodetski, A. Drezet, C. Genet, and T. W. Ebbesen, “Generating far-field orbital angular momenta from near-field optical chirality,” Phys. Rev. Lett. 110(20), 203906 (2013).
[Crossref] [PubMed]

B. Stein, E. Devaux, C. Genet, and T. W. Ebbesen, “Self-collimation of surface plasmon beams,” Opt. Lett. 37(11), 1916–1918 (2012).
[Crossref] [PubMed]

Y. Gorodetski, K. Y. Bliokh, B. Stein, C. Genet, N. Shitrit, V. Kleiner, E. Hasman, and T. W. Ebbesen, “Weak Measurements of Light Chirality with a Plasmonic Slit,” Phys. Rev. Lett. 109(1), 013901 (2012).
[Crossref] [PubMed]

F. L. Tejeira, S. G. Rodrigo, L. M. Moreno, F. J. García-Vidal, E. Devaux, J. Dintinger, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Modulation of surface plasmon coupling-in by one-dimensional surface corrugation,” New J. Phys. 10(3), 033035 (2008).
[Crossref]

F. L. Tejeira, S. G. Rodrigo, L. M. Moreno, F. J. García-Vidal, E. Devaux, J. Dintinger, T. W. Ebbesen, J. R. Krenn, I. P. Radko, S. I. Bozhevolnyi, M. U. González, J. C. Weeber, and A. Dereux, “Efficient unidirectional nanoslit couplers forsurface plasmons,” Nat. Phys. 3(5), 324–328 (2007).
[Crossref]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[Crossref] [PubMed]

Emani, N. K.

X. J. Ni, N. K. Emani, A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “Broadband light bending with plasmonic nanoantennas,” Science 335(6067), 427 (2012).
[Crossref] [PubMed]

Fainman, Y.

L. Feng, K. A. Tetz, B. Slutsky, V. Lomakin, and Y. Fainman, “Fourier plasmonics: Diffractive focusing of in-plane surface plasmon polariton waves,” Appl. Phys. Lett. 91(8), 081101 (2007).
[Crossref]

Fang, Y. R.

Z. P. Li, K. Bao, Y. R. Fang, Y. Z. Huang, P. Nordlander, and H. X. Xu, “Correlation between Incident and Emission Polarization in Nanowire Surface Plasmon Waveguides,” Nano Lett. 10(5), 1831–1835 (2010).
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A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “Surface plasmon polariton Mach–Zehnder interferometer and oscillation fringes,” Plasmonics 1(2–4), 141–145 (2006).
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Figures (6)

Fig. 1
Fig. 1 (a) Experimental system with Mach-Zehnder interferometer. The beam from a He-Ne laser is linearly polarized. BS1 and BS2 are beam-splitters. M1 and M2 are mirrors. A1 and A2 are beam attenuators. TS is translational stage. SPF is pinhole spatial filter. The beam of the lower arm is the reference wave. A microscopic imaging setup with the microscopic objective MO (100Х, WD 1.0mm) is embedded in the upper arm. S is the sample of metal nanoslit. The CCD records either the scattered imaging pattern or the interference pattern of the image and reference beam. (b) SEM image of the sample.
Fig. 2
Fig. 2 Schematic of the scattering on an Au film surface. k represents wavevectors. θ 2 and θ 3 represent the polar and the azimuthal angles, respectively. The dashed red curve illustrates schematically the scattered intensity.
Fig. 3
Fig. 3 (a) Diagram for interference of the photonic mode and the plasmonic mode wavefields produced by L-shaped slit. (b) Reconstructed intensity pattern. The white double-headed arrow shows the incident polarization. (c) Intensity pattern directly recorded by the CCD. (d) Enlarged view of the labeled part in (b) with enhanced brightness.
Fig. 4
Fig. 4 (a) Curves of the intensity data in dot lines AB and CD labeled in the pattern in Fig. 3(b), respectively. (b) Comparison of the curve I CD in (a) with intensity curve produced by another L-shaped slit with horizontal arm 100nm and vertical arm 300nm.
Fig. 5
Fig. 5 (a) Phase delay of the photonic mode relative to the plasmonic mode versus the propagation distance. (b) Amplitude curves of the photonic mode (black) and plasmonic mode (red). (c) Phase map reconstructed from the recorded intensity.
Fig. 6
Fig. 6 (a) Diagram of a slit element. The angle of its normal to x-direction is θ . The incident wave E 0 in y-direction is decomposed into E and E || . (b) Diagram of the ring-slit. (c) The SEM image of the ring-slit. Intensity patterns of calculation (d) and experiment (e). Phase maps of calculation (f) and experiment (g), corresponding to the enlarged view of squared part in (d) and (e), respectively. The double-headed arrows in the figures represent polarizations.

Equations (23)

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E(x,y)=A(x,y)exp[iΦ(x,y)]= E re (x,y)+i E im (x,y),
U ref (x,y)=exp[i2π( f 0x x+ f 0y y)],
I int (x,y)= | E(x,y)+ U ref (x,y) | 2 .
H y (x)= H SP (x)+ H CW (x)=exp(i k SP x)+ H 0CW (x/ λ 0 ) 1/2 exp(i k 0 x),
E z (x)= E z, SP (x)+ E z, CW (x)=exp(i k SP x)+ E 0CW (x/ λ 0 ) 1/2 exp(i k 0 x),
E s (r)= [ E z ( r )G(r, r )/ n ^ G(r, r ) E z ( r )/ n ^ ] d S ,
G(r, r )= exp(i k 0 | r r |) 4π| r r | exp(i k 0 r) 4πr exp(i k s r ).
E z ( x )/ n ^ =i( k SP i ^ n ^ )exp(i k SP x )+ i ^ n ^ [ i k 0 (1/2x') ] E 0CW ( x / λ 0 ) 1/2 exp(i k 0 x )
G(r, r )/ n ^ i( n ^ k s ) exp(i k 0 r) 4πr exp(i k s r ),
E s (r)=i exp(i k 0 r) 4πr [( k s k SP i ^ )] n ^ exp(i k s r )exp(i k SP x )dS' i exp(i k 0 r) 4πr E 0CW ( x / λ 0 ) 1/2 [( k s k 0 i ^ 1 2x'i i ^ ) n ^ ]exp(i k s r )exp(i k 0 x )dS',
k s = k 0 sin θ 2 cos θ 3 i ^ + k 0 sin θ 2 sin θ 3 j ^ + k 0 cos θ 2 k ^ ,
E s (r)=i exp(i k 0 r) k 0 cos θ 2 4πr exp{ i[ k sx x + k sy y'+ k sz h(x',y')] }exp(i k SP x )dS' i exp(i k 0 r) k 0 cos θ 2 4πr E 0CW ( x / λ 0 ) 1/2 exp{ i[ k sx x + k sy y'+ k sz h( x ,y')] }exp(i k 0 x )dS' ,
E s ( k sx , k sz )= exp{ i[ k sx x'+ k sz h(x',y')] }exp(i k SP x')dS' E 0CW (x'/ λ 0 ) 1/2 exp{ i[ k sx x'+ k sz h(x',y')] }exp(i k 0 x')dS' ,
I AB (x)=| E exp,v (x)+ E exp,h ( y 0 ) | 2 =| A v (x)exp(i k 1 x+i Φ v0 )+ A h ( y 0 )exp(i k 2 y 0 +i Φ h0 ) | 2 =| A v (x) | 2 +2 A v (x) A h ( y 0 )cos( k 1 x+ Φ 10 )+| A h ( y 0 ) | 2 ,
I CD (y)=| A h (y)exp(i k 2 y+i Φ h0 )+ A v ( x 0 )exp(i k 1 x 0 +i Φ v0 ) | 2 =| A h (y) | 2 +2 A h (y) A v ( x 0 )cos( k 2 y+ Φ 20 )+| A v ( x 0 ) | 2 ,
E s,CW ( k sy , k sz )= E 0CW (y/ λ 0 ) 1/2 {δ( k sy k 0 ) +(L/2π) sinc[L( k sy + k sz ζ k 0 )](L/2π)sinc[L( k sy k 0 )]}.
k 2,CW = k sy,CW = k 0 k sz ζ.
k 2 = k pl,m k sz ζ.
I f,v = [ A h ( y 0 )] 2 + [ A v ( x 1m )] 2 =2 [ A h ( y 0 )] 2 .
A v ( x j )= A h ( y 0 )± I f,vj ,
d E s =[exp(iπ/4)cosα/ ρ ][ A v0 |cosθ|exp(i k 1 ρ+i Φ v0 )+ A h0 |sinθ|exp(i k 2 ρ+i Φ h0 ) ] E 0 dl = A h0 exp(i Φ h0 iπ/4)(cosα/ ρ )[ η|cosθ|exp(i k 1 ρ+iΔ Φ 0 )+|sinθ|exp(i k 2 ρ) ] E 0 dl,
E s (x,y)= A h0 E 0 exp(i Φ h0 iπ/4) l (cosα/ ρ )[ η|cosθ|exp(i k 1 ρ+iΔ Φ 0 )+|sinθ|exp(i k 2 ρ) ]dl ,
E s (r,φ)= A h0 E 0 exp(i Φ h0 iπ/4) 0 2π (cosα/ ρ ) [ η|cosθ|exp(i k 1 ρ+iΔ Φ 0 )+|sinθ|exp(i k 2 ρ) ]Rd φ 0 ,

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