Abstract

We report the generation of a subwavelength focal spot for surface plasmon polaritons (SPPs) by increasing the proportion of high-spatial-frequency components in the plasmonic focusing field. We have derived an analytical expression for the angular-dependent contribution of an arbitrary-shaped SPP line source to the focal field and have found that the proportion for high-spatial-frequency components can be significantly increased by launching SPPs from a horizontal line source. Accordingly, we propose a rectangular-groove plasmonic lens (PL) consisting of horizontally-arrayed central grooves and slantingly-arrayed flanking grooves on gold film. We demonstrate both numerically and experimentally that, under linearly polarized illumination, such a PL generates a focal spot of full width half maximum 274 nm at an operating wavelength of 830 nm. The method we describe provides guidance to the further structure design and optimization for plasmonic focusing devices.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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    [Crossref]
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    [Crossref] [PubMed]

2017 (1)

2016 (3)

J. Wang, J. Yang, Z. Bai, and J. Zhang, “Plasmonic quadrant lens for beam-position sensing,” Opt. Express 24(19), 21566–21576 (2016).
[Crossref] [PubMed]

F. Wang, L. Liu, H. Yu, Y. Wen, P. Yu, Z. Liu, Y. Wang, and W. J. Li, “Scanning superlens microscopy for non-invasive large field-of-view visible light nanoscale imaging,” Nat. Commun. 7, 13748 (2016).
[Crossref] [PubMed]

Y. Eliezer and A. Bahabad, “Super-oscillating airy pattern,” ACS Photonics 3(6), 1053–1059 (2016).
[Crossref]

2014 (2)

B. Gjonaj, A. David, Y. Blau, G. Spektor, M. Orenstein, S. Dolev, and G. Bartal, “Sub-100 nm focusing of short wavelength plasmons in homogeneous 2D space,” Nano Lett. 14(10), 5598–5602 (2014).
[Crossref] [PubMed]

J. Wang, C. Hu, and J. Zhang, “Multifunctional and multi-output plasmonic meta-elements for integrated optical circuits,” Opt. Express 22(19), 22753–22762 (2014).
[Crossref] [PubMed]

2013 (1)

A. Drezet and C. Genet, “Imaging surface plasmons: from leaky waves to far-field radiation,” Phys. Rev. Lett. 110(21), 213901 (2013).
[Crossref] [PubMed]

2011 (2)

Z. Fang, Q. Peng, W. Song, F. Hao, J. Wang, P. Nordlander, and X. Zhu, “Plasmonic focusing in symmetry broken nanocorrals,” Nano Lett. 11(2), 893–897 (2011).
[Crossref] [PubMed]

J. Baumgartl, S. Kosmeier, M. Mazilu, E. T. F. Rogers, N. I. Zheludev, and K. Dholakia, “Far field subwavelength focusing using optical eigenmodes,” Appl. Phys. Lett. 98(18), 181109 (2011).
[Crossref]

2010 (2)

2009 (3)

F. M. Huang and N. I. Zheludev, “Super-resolution without evanescent waves,” Nano Lett. 9(3), 1249–1254 (2009).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

W. Chen, D. C. Abeysinghe, R. L. Nelson, and Q. Zhan, “Plasmonic lens made of multiple concentric metallic rings under radially polarized illumination,” Nano Lett. 9(12), 4320–4325 (2009).
[Crossref] [PubMed]

2008 (1)

A. Grbic, L. Jiang, and R. Merlin, “Near-field plates: subdiffraction focusing with patterned surfaces,” Science 320(5875), 511–513 (2008).
[Crossref] [PubMed]

2007 (3)

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, “Far-field optical hyperlens magnifying sub-diffraction-limited objects,” Science 315(5819), 1686 (2007).
[Crossref] [PubMed]

I. I. Smolyaninov, Y. J. Hung, and C. C. Davis, “Magnifying superlens in the visible frequency range,” Science 315(5819), 1699–1701 (2007).
[Crossref] [PubMed]

J. Renger, S. Grafström, and L. M. Eng, “Direct excitation of surface plasmon polaritons in nanopatterned metal surfaces and thin films,” Phys. Rev. B 76(4), 045431 (2007).
[Crossref]

2006 (5)

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “How to erase surface plasmon fringes,” Appl. Phys. Lett. 89(9), 091117 (2006).
[Crossref]

E. Ozbay, “Plasmonics: merging photonics and electronics at nanoscale dimensions,” Science 311(5758), 189–193 (2006).
[Crossref] [PubMed]

A. Giannattasio, I. R. Hooper, and W. L. Barnes, “Dependence on surface profile in grating-assisted coupling of light to surface plasmon-polaritons,” Opt. Commun. 261(2), 291–295 (2006).
[Crossref]

M. V. Berry and S. Popescu, “Evolution of quantum superoscillations and optical superresolution without evanescent waves,” J. Phys. A 39(22), 6965–6977 (2006).
[Crossref]

S. S. Hong, B. K. P. Horn, D. M. Freeman, and M. S. Mermelstein, “Lensless focusing with subwavelength resolution by direct synthesis of the angular spectrum,” Appl. Phys. Lett. 88(26), 261107 (2006).
[Crossref]

2005 (5)

A. V. Zayats, I. I. Smolyaninovb, and A. A. Maradudinc, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408(3–4), 131–314 (2005).
[Crossref]

Z. W. Liu, Q. H. Wei, and X. Zhang, “Surface plasmon interference nanolithography,” Nano Lett. 5(5), 957–961 (2005).
[Crossref] [PubMed]

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5(9), 1726–1729 (2005).
[Crossref] [PubMed]

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5(7), 1399–1402 (2005).
[Crossref] [PubMed]

S. H. Chang, S. Gray, and G. Schatz, “Surface plasmon generation and light transmission by isolated nanoholes and arrays of nanoholes in thin metal films,” Opt. Express 13(8), 3150–3165 (2005).
[Crossref] [PubMed]

2004 (2)

C. J. R. Sheppard and A. Choudhury, “Annular pupils, radial polarization, and superresolution,” Appl. Opt. 43(22), 4322–4327 (2004).
[Crossref] [PubMed]

M. I. Stockman, “Nanofocusing of optical energy in tapered plasmonic waveguides,” Phys. Rev. Lett. 93(13), 137404 (2004).
[Crossref] [PubMed]

2003 (2)

A. Hartschuh, E. J. Sánchez, X. S. Xie, and L. Novotny, “High-resolution near-field Raman microscopy of single-walled carbon nanotubes,” Phys. Rev. Lett. 90(9), 095503 (2003).
[Crossref] [PubMed]

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

2000 (1)

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[Crossref] [PubMed]

1991 (1)

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, “Breaking the diffraction barrier: optical microscopy on a nanometric scale,” Science 251(5000), 1468–1470 (1991).
[Crossref] [PubMed]

1972 (1)

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

Abeysinghe, D. C.

W. Chen, D. C. Abeysinghe, R. L. Nelson, and Q. Zhan, “Plasmonic lens made of multiple concentric metallic rings under radially polarized illumination,” Nano Lett. 9(12), 4320–4325 (2009).
[Crossref] [PubMed]

Aussenegg, F. R.

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “How to erase surface plasmon fringes,” Appl. Phys. Lett. 89(9), 091117 (2006).
[Crossref]

Bahabad, A.

Y. Eliezer and A. Bahabad, “Super-oscillating airy pattern,” ACS Photonics 3(6), 1053–1059 (2016).
[Crossref]

Bai, Z.

Barnes, W. L.

A. Giannattasio, I. R. Hooper, and W. L. Barnes, “Dependence on surface profile in grating-assisted coupling of light to surface plasmon-polaritons,” Opt. Commun. 261(2), 291–295 (2006).
[Crossref]

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

Bartal, G.

B. Gjonaj, A. David, Y. Blau, G. Spektor, M. Orenstein, S. Dolev, and G. Bartal, “Sub-100 nm focusing of short wavelength plasmons in homogeneous 2D space,” Nano Lett. 14(10), 5598–5602 (2014).
[Crossref] [PubMed]

Baumgartl, J.

J. Baumgartl, S. Kosmeier, M. Mazilu, E. T. F. Rogers, N. I. Zheludev, and K. Dholakia, “Far field subwavelength focusing using optical eigenmodes,” Appl. Phys. Lett. 98(18), 181109 (2011).
[Crossref]

Berry, M. V.

M. V. Berry and S. Popescu, “Evolution of quantum superoscillations and optical superresolution without evanescent waves,” J. Phys. A 39(22), 6965–6977 (2006).
[Crossref]

Betzig, E.

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, “Breaking the diffraction barrier: optical microscopy on a nanometric scale,” Science 251(5000), 1468–1470 (1991).
[Crossref] [PubMed]

Blau, Y.

B. Gjonaj, A. David, Y. Blau, G. Spektor, M. Orenstein, S. Dolev, and G. Bartal, “Sub-100 nm focusing of short wavelength plasmons in homogeneous 2D space,” Nano Lett. 14(10), 5598–5602 (2014).
[Crossref] [PubMed]

Brown, D. E.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5(7), 1399–1402 (2005).
[Crossref] [PubMed]

Chang, S. H.

Chen, C.

Chen, W.

W. Chen, D. C. Abeysinghe, R. L. Nelson, and Q. Zhan, “Plasmonic lens made of multiple concentric metallic rings under radially polarized illumination,” Nano Lett. 9(12), 4320–4325 (2009).
[Crossref] [PubMed]

Choudhury, A.

Christy, R. W.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

David, A.

B. Gjonaj, A. David, Y. Blau, G. Spektor, M. Orenstein, S. Dolev, and G. Bartal, “Sub-100 nm focusing of short wavelength plasmons in homogeneous 2D space,” Nano Lett. 14(10), 5598–5602 (2014).
[Crossref] [PubMed]

Davis, C. C.

I. I. Smolyaninov, Y. J. Hung, and C. C. Davis, “Magnifying superlens in the visible frequency range,” Science 315(5819), 1699–1701 (2007).
[Crossref] [PubMed]

Dereux, A.

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

Dholakia, K.

J. Baumgartl, S. Kosmeier, M. Mazilu, E. T. F. Rogers, N. I. Zheludev, and K. Dholakia, “Far field subwavelength focusing using optical eigenmodes,” Appl. Phys. Lett. 98(18), 181109 (2011).
[Crossref]

Ditlbacher, H.

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “How to erase surface plasmon fringes,” Appl. Phys. Lett. 89(9), 091117 (2006).
[Crossref]

Dolev, S.

B. Gjonaj, A. David, Y. Blau, G. Spektor, M. Orenstein, S. Dolev, and G. Bartal, “Sub-100 nm focusing of short wavelength plasmons in homogeneous 2D space,” Nano Lett. 14(10), 5598–5602 (2014).
[Crossref] [PubMed]

Drezet, A.

A. Drezet and C. Genet, “Imaging surface plasmons: from leaky waves to far-field radiation,” Phys. Rev. Lett. 110(21), 213901 (2013).
[Crossref] [PubMed]

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “How to erase surface plasmon fringes,” Appl. Phys. Lett. 89(9), 091117 (2006).
[Crossref]

Ebbesen, T. W.

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

Eliezer, Y.

Y. Eliezer and A. Bahabad, “Super-oscillating airy pattern,” ACS Photonics 3(6), 1053–1059 (2016).
[Crossref]

Eng, L. M.

J. Renger, S. Grafström, and L. M. Eng, “Direct excitation of surface plasmon polaritons in nanopatterned metal surfaces and thin films,” Phys. Rev. B 76(4), 045431 (2007).
[Crossref]

Fang, Z.

Z. Fang, Q. Peng, W. Song, F. Hao, J. Wang, P. Nordlander, and X. Zhu, “Plasmonic focusing in symmetry broken nanocorrals,” Nano Lett. 11(2), 893–897 (2011).
[Crossref] [PubMed]

Freeman, D. M.

S. S. Hong, B. K. P. Horn, D. M. Freeman, and M. S. Mermelstein, “Lensless focusing with subwavelength resolution by direct synthesis of the angular spectrum,” Appl. Phys. Lett. 88(26), 261107 (2006).
[Crossref]

Galler, N.

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “How to erase surface plasmon fringes,” Appl. Phys. Lett. 89(9), 091117 (2006).
[Crossref]

Genet, C.

A. Drezet and C. Genet, “Imaging surface plasmons: from leaky waves to far-field radiation,” Phys. Rev. Lett. 110(21), 213901 (2013).
[Crossref] [PubMed]

Giannattasio, A.

A. Giannattasio, I. R. Hooper, and W. L. Barnes, “Dependence on surface profile in grating-assisted coupling of light to surface plasmon-polaritons,” Opt. Commun. 261(2), 291–295 (2006).
[Crossref]

Gjonaj, B.

B. Gjonaj, A. David, Y. Blau, G. Spektor, M. Orenstein, S. Dolev, and G. Bartal, “Sub-100 nm focusing of short wavelength plasmons in homogeneous 2D space,” Nano Lett. 14(10), 5598–5602 (2014).
[Crossref] [PubMed]

Grafström, S.

J. Renger, S. Grafström, and L. M. Eng, “Direct excitation of surface plasmon polaritons in nanopatterned metal surfaces and thin films,” Phys. Rev. B 76(4), 045431 (2007).
[Crossref]

Gray, S.

Grbic, A.

A. Grbic, L. Jiang, and R. Merlin, “Near-field plates: subdiffraction focusing with patterned surfaces,” Science 320(5875), 511–513 (2008).
[Crossref] [PubMed]

Hao, F.

Z. Fang, Q. Peng, W. Song, F. Hao, J. Wang, P. Nordlander, and X. Zhu, “Plasmonic focusing in symmetry broken nanocorrals,” Nano Lett. 11(2), 893–897 (2011).
[Crossref] [PubMed]

Harris, T. D.

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, “Breaking the diffraction barrier: optical microscopy on a nanometric scale,” Science 251(5000), 1468–1470 (1991).
[Crossref] [PubMed]

Hartschuh, A.

A. Hartschuh, E. J. Sánchez, X. S. Xie, and L. Novotny, “High-resolution near-field Raman microscopy of single-walled carbon nanotubes,” Phys. Rev. Lett. 90(9), 095503 (2003).
[Crossref] [PubMed]

Hiller, J. M.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5(7), 1399–1402 (2005).
[Crossref] [PubMed]

Hohenau, A.

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “How to erase surface plasmon fringes,” Appl. Phys. Lett. 89(9), 091117 (2006).
[Crossref]

Hong, S. S.

S. S. Hong, B. K. P. Horn, D. M. Freeman, and M. S. Mermelstein, “Lensless focusing with subwavelength resolution by direct synthesis of the angular spectrum,” Appl. Phys. Lett. 88(26), 261107 (2006).
[Crossref]

Hooper, I. R.

A. Giannattasio, I. R. Hooper, and W. L. Barnes, “Dependence on surface profile in grating-assisted coupling of light to surface plasmon-polaritons,” Opt. Commun. 261(2), 291–295 (2006).
[Crossref]

Horn, B. K. P.

S. S. Hong, B. K. P. Horn, D. M. Freeman, and M. S. Mermelstein, “Lensless focusing with subwavelength resolution by direct synthesis of the angular spectrum,” Appl. Phys. Lett. 88(26), 261107 (2006).
[Crossref]

Hu, C.

Hua, J.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5(7), 1399–1402 (2005).
[Crossref] [PubMed]

Huang, F. M.

F. M. Huang and N. I. Zheludev, “Super-resolution without evanescent waves,” Nano Lett. 9(3), 1249–1254 (2009).
[Crossref] [PubMed]

Hung, Y. J.

I. I. Smolyaninov, Y. J. Hung, and C. C. Davis, “Magnifying superlens in the visible frequency range,” Science 315(5819), 1699–1701 (2007).
[Crossref] [PubMed]

Jiang, L.

A. Grbic, L. Jiang, and R. Merlin, “Near-field plates: subdiffraction focusing with patterned surfaces,” Science 320(5875), 511–513 (2008).
[Crossref] [PubMed]

Johnson, P. B.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

Kimball, C. W.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5(7), 1399–1402 (2005).
[Crossref] [PubMed]

Kosmeier, S.

J. Baumgartl, S. Kosmeier, M. Mazilu, E. T. F. Rogers, N. I. Zheludev, and K. Dholakia, “Far field subwavelength focusing using optical eigenmodes,” Appl. Phys. Lett. 98(18), 181109 (2011).
[Crossref]

Kostelak, R. L.

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, “Breaking the diffraction barrier: optical microscopy on a nanometric scale,” Science 251(5000), 1468–1470 (1991).
[Crossref] [PubMed]

Krenn, J. R.

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “How to erase surface plasmon fringes,” Appl. Phys. Lett. 89(9), 091117 (2006).
[Crossref]

Lee, H.

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, “Far-field optical hyperlens magnifying sub-diffraction-limited objects,” Science 315(5819), 1686 (2007).
[Crossref] [PubMed]

Leitner, A.

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “How to erase surface plasmon fringes,” Appl. Phys. Lett. 89(9), 091117 (2006).
[Crossref]

Lerman, G. M.

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).
[Crossref] [PubMed]

Levy, U.

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).
[Crossref] [PubMed]

Li, W. J.

F. Wang, L. Liu, H. Yu, Y. Wen, P. Yu, Z. Liu, Y. Wang, and W. J. Li, “Scanning superlens microscopy for non-invasive large field-of-view visible light nanoscale imaging,” Nat. Commun. 7, 13748 (2016).
[Crossref] [PubMed]

Liu, L.

F. Wang, L. Liu, H. Yu, Y. Wen, P. Yu, Z. Liu, Y. Wang, and W. J. Li, “Scanning superlens microscopy for non-invasive large field-of-view visible light nanoscale imaging,” Nat. Commun. 7, 13748 (2016).
[Crossref] [PubMed]

Liu, Z.

F. Wang, L. Liu, H. Yu, Y. Wen, P. Yu, Z. Liu, Y. Wang, and W. J. Li, “Scanning superlens microscopy for non-invasive large field-of-view visible light nanoscale imaging,” Nat. Commun. 7, 13748 (2016).
[Crossref] [PubMed]

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, “Far-field optical hyperlens magnifying sub-diffraction-limited objects,” Science 315(5819), 1686 (2007).
[Crossref] [PubMed]

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5(9), 1726–1729 (2005).
[Crossref] [PubMed]

Liu, Z. W.

Z. W. Liu, Q. H. Wei, and X. Zhang, “Surface plasmon interference nanolithography,” Nano Lett. 5(5), 957–961 (2005).
[Crossref] [PubMed]

Maradudinc, A. A.

A. V. Zayats, I. I. Smolyaninovb, and A. A. Maradudinc, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408(3–4), 131–314 (2005).
[Crossref]

Mazilu, M.

J. Baumgartl, S. Kosmeier, M. Mazilu, E. T. F. Rogers, N. I. Zheludev, and K. Dholakia, “Far field subwavelength focusing using optical eigenmodes,” Appl. Phys. Lett. 98(18), 181109 (2011).
[Crossref]

Merlin, R.

A. Grbic, L. Jiang, and R. Merlin, “Near-field plates: subdiffraction focusing with patterned surfaces,” Science 320(5875), 511–513 (2008).
[Crossref] [PubMed]

Mermelstein, M. S.

S. S. Hong, B. K. P. Horn, D. M. Freeman, and M. S. Mermelstein, “Lensless focusing with subwavelength resolution by direct synthesis of the angular spectrum,” Appl. Phys. Lett. 88(26), 261107 (2006).
[Crossref]

Nelson, R. L.

W. Chen, D. C. Abeysinghe, R. L. Nelson, and Q. Zhan, “Plasmonic lens made of multiple concentric metallic rings under radially polarized illumination,” Nano Lett. 9(12), 4320–4325 (2009).
[Crossref] [PubMed]

Nordlander, P.

Z. Fang, Q. Peng, W. Song, F. Hao, J. Wang, P. Nordlander, and X. Zhu, “Plasmonic focusing in symmetry broken nanocorrals,” Nano Lett. 11(2), 893–897 (2011).
[Crossref] [PubMed]

Novotny, L.

A. Hartschuh, E. J. Sánchez, X. S. Xie, and L. Novotny, “High-resolution near-field Raman microscopy of single-walled carbon nanotubes,” Phys. Rev. Lett. 90(9), 095503 (2003).
[Crossref] [PubMed]

Orenstein, M.

B. Gjonaj, A. David, Y. Blau, G. Spektor, M. Orenstein, S. Dolev, and G. Bartal, “Sub-100 nm focusing of short wavelength plasmons in homogeneous 2D space,” Nano Lett. 14(10), 5598–5602 (2014).
[Crossref] [PubMed]

Ozbay, E.

E. Ozbay, “Plasmonics: merging photonics and electronics at nanoscale dimensions,” Science 311(5758), 189–193 (2006).
[Crossref] [PubMed]

Pearson, J.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5(7), 1399–1402 (2005).
[Crossref] [PubMed]

Pendry, J. B.

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[Crossref] [PubMed]

Peng, Q.

Z. Fang, Q. Peng, W. Song, F. Hao, J. Wang, P. Nordlander, and X. Zhu, “Plasmonic focusing in symmetry broken nanocorrals,” Nano Lett. 11(2), 893–897 (2011).
[Crossref] [PubMed]

Pikus, Y.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5(9), 1726–1729 (2005).
[Crossref] [PubMed]

Popescu, S.

M. V. Berry and S. Popescu, “Evolution of quantum superoscillations and optical superresolution without evanescent waves,” J. Phys. A 39(22), 6965–6977 (2006).
[Crossref]

Renger, J.

J. Renger, S. Grafström, and L. M. Eng, “Direct excitation of surface plasmon polaritons in nanopatterned metal surfaces and thin films,” Phys. Rev. B 76(4), 045431 (2007).
[Crossref]

Rogers, E. T. F.

J. Baumgartl, S. Kosmeier, M. Mazilu, E. T. F. Rogers, N. I. Zheludev, and K. Dholakia, “Far field subwavelength focusing using optical eigenmodes,” Appl. Phys. Lett. 98(18), 181109 (2011).
[Crossref]

Sánchez, E. J.

A. Hartschuh, E. J. Sánchez, X. S. Xie, and L. Novotny, “High-resolution near-field Raman microscopy of single-walled carbon nanotubes,” Phys. Rev. Lett. 90(9), 095503 (2003).
[Crossref] [PubMed]

Schatz, G.

Sheppard, C. J. R.

Smolyaninov, I. I.

I. I. Smolyaninov, Y. J. Hung, and C. C. Davis, “Magnifying superlens in the visible frequency range,” Science 315(5819), 1699–1701 (2007).
[Crossref] [PubMed]

Smolyaninovb, I. I.

A. V. Zayats, I. I. Smolyaninovb, and A. A. Maradudinc, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408(3–4), 131–314 (2005).
[Crossref]

Song, W.

Z. Fang, Q. Peng, W. Song, F. Hao, J. Wang, P. Nordlander, and X. Zhu, “Plasmonic focusing in symmetry broken nanocorrals,” Nano Lett. 11(2), 893–897 (2011).
[Crossref] [PubMed]

Spektor, G.

B. Gjonaj, A. David, Y. Blau, G. Spektor, M. Orenstein, S. Dolev, and G. Bartal, “Sub-100 nm focusing of short wavelength plasmons in homogeneous 2D space,” Nano Lett. 14(10), 5598–5602 (2014).
[Crossref] [PubMed]

Srituravanich, W.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5(9), 1726–1729 (2005).
[Crossref] [PubMed]

Steele, J. M.

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5(9), 1726–1729 (2005).
[Crossref] [PubMed]

Steinberger, B.

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “How to erase surface plasmon fringes,” Appl. Phys. Lett. 89(9), 091117 (2006).
[Crossref]

Stepanov, A. L.

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “How to erase surface plasmon fringes,” Appl. Phys. Lett. 89(9), 091117 (2006).
[Crossref]

Stockman, M. I.

M. I. Stockman, “Nanofocusing of optical energy in tapered plasmonic waveguides,” Phys. Rev. Lett. 93(13), 137404 (2004).
[Crossref] [PubMed]

Sun, C.

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, “Far-field optical hyperlens magnifying sub-diffraction-limited objects,” Science 315(5819), 1686 (2007).
[Crossref] [PubMed]

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5(9), 1726–1729 (2005).
[Crossref] [PubMed]

Sun, Z.

Trautman, J. K.

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, “Breaking the diffraction barrier: optical microscopy on a nanometric scale,” Science 251(5000), 1468–1470 (1991).
[Crossref] [PubMed]

Vlasko-Vlasov, V. K.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5(7), 1399–1402 (2005).
[Crossref] [PubMed]

Wang, F.

F. Wang, L. Liu, H. Yu, Y. Wen, P. Yu, Z. Liu, Y. Wang, and W. J. Li, “Scanning superlens microscopy for non-invasive large field-of-view visible light nanoscale imaging,” Nat. Commun. 7, 13748 (2016).
[Crossref] [PubMed]

Wang, J.

Wang, Y.

F. Wang, L. Liu, H. Yu, Y. Wen, P. Yu, Z. Liu, Y. Wang, and W. J. Li, “Scanning superlens microscopy for non-invasive large field-of-view visible light nanoscale imaging,” Nat. Commun. 7, 13748 (2016).
[Crossref] [PubMed]

Wei, Q. H.

Z. W. Liu, Q. H. Wei, and X. Zhang, “Surface plasmon interference nanolithography,” Nano Lett. 5(5), 957–961 (2005).
[Crossref] [PubMed]

Weiner, J. S.

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, “Breaking the diffraction barrier: optical microscopy on a nanometric scale,” Science 251(5000), 1468–1470 (1991).
[Crossref] [PubMed]

Welp, U.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5(7), 1399–1402 (2005).
[Crossref] [PubMed]

Wen, Y.

F. Wang, L. Liu, H. Yu, Y. Wen, P. Yu, Z. Liu, Y. Wang, and W. J. Li, “Scanning superlens microscopy for non-invasive large field-of-view visible light nanoscale imaging,” Nat. Commun. 7, 13748 (2016).
[Crossref] [PubMed]

Xie, X. S.

A. Hartschuh, E. J. Sánchez, X. S. Xie, and L. Novotny, “High-resolution near-field Raman microscopy of single-walled carbon nanotubes,” Phys. Rev. Lett. 90(9), 095503 (2003).
[Crossref] [PubMed]

Xiong, Y.

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, “Far-field optical hyperlens magnifying sub-diffraction-limited objects,” Science 315(5819), 1686 (2007).
[Crossref] [PubMed]

Yanai, A.

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).
[Crossref] [PubMed]

Yang, J.

Yin, L.

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5(7), 1399–1402 (2005).
[Crossref] [PubMed]

Yu, H.

F. Wang, L. Liu, H. Yu, Y. Wen, P. Yu, Z. Liu, Y. Wang, and W. J. Li, “Scanning superlens microscopy for non-invasive large field-of-view visible light nanoscale imaging,” Nat. Commun. 7, 13748 (2016).
[Crossref] [PubMed]

Yu, P.

F. Wang, L. Liu, H. Yu, Y. Wen, P. Yu, Z. Liu, Y. Wang, and W. J. Li, “Scanning superlens microscopy for non-invasive large field-of-view visible light nanoscale imaging,” Nat. Commun. 7, 13748 (2016).
[Crossref] [PubMed]

Zayats, A. V.

A. V. Zayats, I. I. Smolyaninovb, and A. A. Maradudinc, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408(3–4), 131–314 (2005).
[Crossref]

Zhan, Q.

W. Chen, D. C. Abeysinghe, R. L. Nelson, and Q. Zhan, “Plasmonic lens made of multiple concentric metallic rings under radially polarized illumination,” Nano Lett. 9(12), 4320–4325 (2009).
[Crossref] [PubMed]

Zhang, J.

Zhang, X.

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, “Far-field optical hyperlens magnifying sub-diffraction-limited objects,” Science 315(5819), 1686 (2007).
[Crossref] [PubMed]

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5(9), 1726–1729 (2005).
[Crossref] [PubMed]

Z. W. Liu, Q. H. Wei, and X. Zhang, “Surface plasmon interference nanolithography,” Nano Lett. 5(5), 957–961 (2005).
[Crossref] [PubMed]

Zhao, C.

Zheludev, N. I.

J. Baumgartl, S. Kosmeier, M. Mazilu, E. T. F. Rogers, N. I. Zheludev, and K. Dholakia, “Far field subwavelength focusing using optical eigenmodes,” Appl. Phys. Lett. 98(18), 181109 (2011).
[Crossref]

F. M. Huang and N. I. Zheludev, “Super-resolution without evanescent waves,” Nano Lett. 9(3), 1249–1254 (2009).
[Crossref] [PubMed]

Zhu, X.

Z. Fang, Q. Peng, W. Song, F. Hao, J. Wang, P. Nordlander, and X. Zhu, “Plasmonic focusing in symmetry broken nanocorrals,” Nano Lett. 11(2), 893–897 (2011).
[Crossref] [PubMed]

ACS Nano (1)

C. Zhao and J. Zhang, “Plasmonic demultiplexer and guiding,” ACS Nano 4(11), 6433–6438 (2010).
[Crossref] [PubMed]

ACS Photonics (1)

Y. Eliezer and A. Bahabad, “Super-oscillating airy pattern,” ACS Photonics 3(6), 1053–1059 (2016).
[Crossref]

Appl. Opt. (1)

Appl. Phys. Lett. (3)

A. Drezet, A. Hohenau, A. L. Stepanov, H. Ditlbacher, B. Steinberger, N. Galler, F. R. Aussenegg, A. Leitner, and J. R. Krenn, “How to erase surface plasmon fringes,” Appl. Phys. Lett. 89(9), 091117 (2006).
[Crossref]

S. S. Hong, B. K. P. Horn, D. M. Freeman, and M. S. Mermelstein, “Lensless focusing with subwavelength resolution by direct synthesis of the angular spectrum,” Appl. Phys. Lett. 88(26), 261107 (2006).
[Crossref]

J. Baumgartl, S. Kosmeier, M. Mazilu, E. T. F. Rogers, N. I. Zheludev, and K. Dholakia, “Far field subwavelength focusing using optical eigenmodes,” Appl. Phys. Lett. 98(18), 181109 (2011).
[Crossref]

J. Phys. A (1)

M. V. Berry and S. Popescu, “Evolution of quantum superoscillations and optical superresolution without evanescent waves,” J. Phys. A 39(22), 6965–6977 (2006).
[Crossref]

Nano Lett. (8)

F. M. Huang and N. I. Zheludev, “Super-resolution without evanescent waves,” Nano Lett. 9(3), 1249–1254 (2009).
[Crossref] [PubMed]

Z. W. Liu, Q. H. Wei, and X. Zhang, “Surface plasmon interference nanolithography,” Nano Lett. 5(5), 957–961 (2005).
[Crossref] [PubMed]

Z. Liu, J. M. Steele, W. Srituravanich, Y. Pikus, C. Sun, and X. Zhang, “Focusing surface plasmons with a plasmonic lens,” Nano Lett. 5(9), 1726–1729 (2005).
[Crossref] [PubMed]

L. Yin, V. K. Vlasko-Vlasov, J. Pearson, J. M. Hiller, J. Hua, U. Welp, D. E. Brown, and C. W. Kimball, “Subwavelength focusing and guiding of surface plasmons,” Nano Lett. 5(7), 1399–1402 (2005).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

W. Chen, D. C. Abeysinghe, R. L. Nelson, and Q. Zhan, “Plasmonic lens made of multiple concentric metallic rings under radially polarized illumination,” Nano Lett. 9(12), 4320–4325 (2009).
[Crossref] [PubMed]

B. Gjonaj, A. David, Y. Blau, G. Spektor, M. Orenstein, S. Dolev, and G. Bartal, “Sub-100 nm focusing of short wavelength plasmons in homogeneous 2D space,” Nano Lett. 14(10), 5598–5602 (2014).
[Crossref] [PubMed]

Z. Fang, Q. Peng, W. Song, F. Hao, J. Wang, P. Nordlander, and X. Zhu, “Plasmonic focusing in symmetry broken nanocorrals,” Nano Lett. 11(2), 893–897 (2011).
[Crossref] [PubMed]

Nat. Commun. (1)

F. Wang, L. Liu, H. Yu, Y. Wen, P. Yu, Z. Liu, Y. Wang, and W. J. Li, “Scanning superlens microscopy for non-invasive large field-of-view visible light nanoscale imaging,” Nat. Commun. 7, 13748 (2016).
[Crossref] [PubMed]

Nature (1)

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

Opt. Commun. (1)

A. Giannattasio, I. R. Hooper, and W. L. Barnes, “Dependence on surface profile in grating-assisted coupling of light to surface plasmon-polaritons,” Opt. Commun. 261(2), 291–295 (2006).
[Crossref]

Opt. Express (4)

Opt. Lett. (1)

Phys. Rep. (1)

A. V. Zayats, I. I. Smolyaninovb, and A. A. Maradudinc, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408(3–4), 131–314 (2005).
[Crossref]

Phys. Rev. B (2)

J. Renger, S. Grafström, and L. M. Eng, “Direct excitation of surface plasmon polaritons in nanopatterned metal surfaces and thin films,” Phys. Rev. B 76(4), 045431 (2007).
[Crossref]

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

Phys. Rev. Lett. (4)

A. Drezet and C. Genet, “Imaging surface plasmons: from leaky waves to far-field radiation,” Phys. Rev. Lett. 110(21), 213901 (2013).
[Crossref] [PubMed]

A. Hartschuh, E. J. Sánchez, X. S. Xie, and L. Novotny, “High-resolution near-field Raman microscopy of single-walled carbon nanotubes,” Phys. Rev. Lett. 90(9), 095503 (2003).
[Crossref] [PubMed]

M. I. Stockman, “Nanofocusing of optical energy in tapered plasmonic waveguides,” Phys. Rev. Lett. 93(13), 137404 (2004).
[Crossref] [PubMed]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[Crossref] [PubMed]

Science (5)

Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, “Far-field optical hyperlens magnifying sub-diffraction-limited objects,” Science 315(5819), 1686 (2007).
[Crossref] [PubMed]

A. Grbic, L. Jiang, and R. Merlin, “Near-field plates: subdiffraction focusing with patterned surfaces,” Science 320(5875), 511–513 (2008).
[Crossref] [PubMed]

E. Ozbay, “Plasmonics: merging photonics and electronics at nanoscale dimensions,” Science 311(5758), 189–193 (2006).
[Crossref] [PubMed]

I. I. Smolyaninov, Y. J. Hung, and C. C. Davis, “Magnifying superlens in the visible frequency range,” Science 315(5819), 1699–1701 (2007).
[Crossref] [PubMed]

E. Betzig, J. K. Trautman, T. D. Harris, J. S. Weiner, and R. L. Kostelak, “Breaking the diffraction barrier: optical microscopy on a nanometric scale,” Science 251(5000), 1468–1470 (1991).
[Crossref] [PubMed]

Other (1)

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Grating (Springer, 1988).

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Figures (4)

Fig. 1
Fig. 1 (a) Model system: On the x-y plane, in-phase SPP point sources are continuously distributed along an arbitrary trajectory y = f(x). The model mimics the coupling of SPPs by an arbitrary-shaped PL under y-polarized illumination. (b) Calculated |dE/| using Eq. (1) as a function of α with different β (from 0° to 40°), given f(x) = tanβx and F = 5µm. Calculated |dE/dα| for f(x) being a semi-circle is plotted for comparison. (c) Calculated |dE/| as a function of α with different focal length F (from 2µm to 30µm), given f(x) = 0.
Fig. 2
Fig. 2 (a) A 3D illustration of the proposed PL. The 1st, 2nd, 3rd grooves are marked with their k values. (b) Illustration of the sizes, orientations, and locations of the grooves, which are arranged into three layers (layer index i = 1,2,3). Only the right half of the lens is plotted because of mirror symmetry with respect to the y-axis. (c) Transverse FWHM of the focus versus design focal length F. (d) Transverse FWHM of the focus versus parameter α for three types of lens design. Red disks, black squares, and blue triangles represent proposed PL, PL without flanking grooves, and PL without 2nd, 3rd, and 4th grooves, respectively. Data in Figs. (c) and (d) are calculated using SPP point source model.
Fig. 3
Fig. 3 (a) Full view of the proposed PL with F = 5µm and α = 80°. The 2nd, 3rd, and 4th grooves (blue rectangles) are removed. (b) FDTD simulated SPP intensity (|E|2) distribution around the focus. (c) Transverse and longitudinal intensity profiles through the focus. (d) SEM image of the fabricated PL. (e) LRM images of SPP intensity distributions around the focus. (f) FDTD simulated SPP in-plane components (|Ex|2 + |Ey|2) distribution around the focus. (g) Schematic of the LRM setup. (h) Intensity profiles along transverse directions through the centers of Figs. (e) and (f).
Fig. 4
Fig. 4 Two proposed PLs facing each other with a common focus. For each PL, an additional 1st groove (red rectangle) is placed besides the original one with spacing of λ to decrease the longitudinal FWHM of the focal spot. (b) FDTD simulated SPP intensity (|E|2) distribution around the focus. (c) Transverse and longitudinal intensity profiles through the focus. Simulated intensity profile through the focus of a circular-shaped PL (a circular groove with inner radius = 5µm, groove width = 400 nm, groove depth = 40 nm) under radially polarized illumination is also plotted for comparison.

Equations (2)

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| dE/ dα |=Acos( α )exp( ikr )exp( r/ 2L ) ( dr/ dα ) 2 / r+r
y={ (2i)d ( if| x |[ F(2i)d ]tanα ) | x |[ F(2i)d ]tanα+(2i)d ( if| x |>[ F(2i)d ]tanα )

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