Abstract

With the use of the finite-difference time-domain-based simulation and a scanning near-field optical microscope that has a metal cantilever tip, the diffraction of a linearly polarized plane wave of wavelength λ by a glass corner step of height 2λ is shown to generate a low divergence laser jet of a root-parabolic form: over a distance of 4.7λ on the optical axis, the beam path is shifted by 2.1λ. The curved laser jet of the FWHM length depth of focus=9.5λ has the diameter FWHM=1.94λ over the distance 5.5λ, and the intensity maximum is 5 times higher than the incident wave intensity. The discrepancy between the analytical and the experimental results amounts to 11%.

© 2013 Optical Society of America

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  1. V. V. Kotlyar and M. A. Lichmanov, “Electromagnetic wave diffraction by an infinite circular cylinder with homogeneous layers,” Comput. Opt. 24, 26–32 (2002).
  2. X. Li, Z. Chen, A. Taflove, and V. Backman, “Optical analysis of nanoparticles via enhanced backscattering facilitated by 3D photonic nanojets,” Opt. Express 13, 526–533 (2005).
    [CrossRef]
  3. A. Heifetz, S.-C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, “Photonic nanojets,” J. Comput. Theory. Nanosci. 6, 1979–1992 (2009).
    [CrossRef]
  4. P. Ferrand, J. Wenger, A. Devilez, M. Pianta, B. Stout, N. Bonod, E. Popov, and H. Rigneault, “Direct imaging of photonic nanojets,” Opt. Express 16, 6930–6940 (2008).
    [CrossRef]
  5. C.-H. Chang, L. Tian, W. R. Hesse, H. Gao, H. J. Choi, J.-G. Kim, M. Siddiqui, and G. Barbastathis, “From two-dimensional colloidal self-assembly to three-dimensional nanolithography,” Nano Lett. 11, 2533–2537 (2011).
    [CrossRef]
  6. V. N. Astratov, A. Darafsheh, M. D. Kerr, K. W. Allen, N. M. Fried, A. N. Antoszyk, and H. S. Ying, “Photonic nanojets for laser surgery,” SPIE Newsroom (2010), doi: 10.1117/2.1201002.002578.
    [CrossRef]
  7. V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
    [CrossRef]
  8. F. Merola, S. Coppola, V. Vespini, S. Grilli, and P. Ferraro, “Characterization of Bessel beams generated by polymeric microaxicons,” Meas. Sci. Technol. 23, 065204 (2012).
    [CrossRef]
  9. M.-S. Kim, T. Scharf, S. Mühlig, C. Rockstuhl, and H. P. Herzig, “Engineering photonic nanojets,” Opt. Express 19, 10206–10220 (2011).
    [CrossRef]
  10. J. Martin, J. Proust, D. Gerard, J.-L. Bijeon, and J. Plain, “Intense Bessel-like beams arising from pyramid-shaped microtips,” Opt. Lett. 37, 1274–1276 (2012).
    [CrossRef]
  11. D. McCloskey, J. J. Wang, and J. F. Donegan, “Low divergence photonic nanojets from Si3N4 microdisks,” Opt. Express 20, 128–140 (2012).
    [CrossRef]
  12. S. S. Stafeev and V. V. Kotlyar, “Elongated photonic nanojet from truncated cylindrical zone plate,” J. Atom. Mol. Opt. Phys. 2012, 1 (2012), doi: 10.1155/2012/123872.
    [CrossRef]
  13. G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32, 979–981 (2007).
    [CrossRef]
  14. J. Bamgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2, 675–678 (2008).
    [CrossRef]
  15. P. Polynkin, N. Koselik, J. W. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324, 229–232 (2009).
    [CrossRef]
  16. V. V. Kotlyar, A. A. Almazov, S. N. Khonina, V. A. Soifer, H. Elfstrom, and J. Turunen, “Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate,” J. Opt. Soc. Am. A 22, 849–861 (2005).
    [CrossRef]

2012 (5)

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

F. Merola, S. Coppola, V. Vespini, S. Grilli, and P. Ferraro, “Characterization of Bessel beams generated by polymeric microaxicons,” Meas. Sci. Technol. 23, 065204 (2012).
[CrossRef]

S. S. Stafeev and V. V. Kotlyar, “Elongated photonic nanojet from truncated cylindrical zone plate,” J. Atom. Mol. Opt. Phys. 2012, 1 (2012), doi: 10.1155/2012/123872.
[CrossRef]

D. McCloskey, J. J. Wang, and J. F. Donegan, “Low divergence photonic nanojets from Si3N4 microdisks,” Opt. Express 20, 128–140 (2012).
[CrossRef]

J. Martin, J. Proust, D. Gerard, J.-L. Bijeon, and J. Plain, “Intense Bessel-like beams arising from pyramid-shaped microtips,” Opt. Lett. 37, 1274–1276 (2012).
[CrossRef]

2011 (2)

C.-H. Chang, L. Tian, W. R. Hesse, H. Gao, H. J. Choi, J.-G. Kim, M. Siddiqui, and G. Barbastathis, “From two-dimensional colloidal self-assembly to three-dimensional nanolithography,” Nano Lett. 11, 2533–2537 (2011).
[CrossRef]

M.-S. Kim, T. Scharf, S. Mühlig, C. Rockstuhl, and H. P. Herzig, “Engineering photonic nanojets,” Opt. Express 19, 10206–10220 (2011).
[CrossRef]

2009 (2)

A. Heifetz, S.-C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, “Photonic nanojets,” J. Comput. Theory. Nanosci. 6, 1979–1992 (2009).
[CrossRef]

P. Polynkin, N. Koselik, J. W. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324, 229–232 (2009).
[CrossRef]

2008 (2)

J. Bamgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2, 675–678 (2008).
[CrossRef]

P. Ferrand, J. Wenger, A. Devilez, M. Pianta, B. Stout, N. Bonod, E. Popov, and H. Rigneault, “Direct imaging of photonic nanojets,” Opt. Express 16, 6930–6940 (2008).
[CrossRef]

2007 (1)

2005 (2)

2002 (1)

V. V. Kotlyar and M. A. Lichmanov, “Electromagnetic wave diffraction by an infinite circular cylinder with homogeneous layers,” Comput. Opt. 24, 26–32 (2002).

Aktsipetrov, O. A.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Allen, K. W.

V. N. Astratov, A. Darafsheh, M. D. Kerr, K. W. Allen, N. M. Fried, A. N. Antoszyk, and H. S. Ying, “Photonic nanojets for laser surgery,” SPIE Newsroom (2010), doi: 10.1117/2.1201002.002578.
[CrossRef]

Almazov, A. A.

Ameloot, M.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Antoszyk, A. N.

V. N. Astratov, A. Darafsheh, M. D. Kerr, K. W. Allen, N. M. Fried, A. N. Antoszyk, and H. S. Ying, “Photonic nanojets for laser surgery,” SPIE Newsroom (2010), doi: 10.1117/2.1201002.002578.
[CrossRef]

Astratov, V. N.

V. N. Astratov, A. Darafsheh, M. D. Kerr, K. W. Allen, N. M. Fried, A. N. Antoszyk, and H. S. Ying, “Photonic nanojets for laser surgery,” SPIE Newsroom (2010), doi: 10.1117/2.1201002.002578.
[CrossRef]

Backman, V.

A. Heifetz, S.-C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, “Photonic nanojets,” J. Comput. Theory. Nanosci. 6, 1979–1992 (2009).
[CrossRef]

X. Li, Z. Chen, A. Taflove, and V. Backman, “Optical analysis of nanoparticles via enhanced backscattering facilitated by 3D photonic nanojets,” Opt. Express 13, 526–533 (2005).
[CrossRef]

Bamgartl, J.

J. Bamgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2, 675–678 (2008).
[CrossRef]

Barbastathis, G.

C.-H. Chang, L. Tian, W. R. Hesse, H. Gao, H. J. Choi, J.-G. Kim, M. Siddiqui, and G. Barbastathis, “From two-dimensional colloidal self-assembly to three-dimensional nanolithography,” Nano Lett. 11, 2533–2537 (2011).
[CrossRef]

Bijeon, J.-L.

Bonod, N.

Chang, C.-H.

C.-H. Chang, L. Tian, W. R. Hesse, H. Gao, H. J. Choi, J.-G. Kim, M. Siddiqui, and G. Barbastathis, “From two-dimensional colloidal self-assembly to three-dimensional nanolithography,” Nano Lett. 11, 2533–2537 (2011).
[CrossRef]

Chen, Z.

Chichkov, B. N.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Choi, H. J.

C.-H. Chang, L. Tian, W. R. Hesse, H. Gao, H. J. Choi, J.-G. Kim, M. Siddiqui, and G. Barbastathis, “From two-dimensional colloidal self-assembly to three-dimensional nanolithography,” Nano Lett. 11, 2533–2537 (2011).
[CrossRef]

Christodoulides, D. N.

P. Polynkin, N. Koselik, J. W. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324, 229–232 (2009).
[CrossRef]

G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32, 979–981 (2007).
[CrossRef]

Clercq, B. D.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Coppola, S.

F. Merola, S. Coppola, V. Vespini, S. Grilli, and P. Ferraro, “Characterization of Bessel beams generated by polymeric microaxicons,” Meas. Sci. Technol. 23, 065204 (2012).
[CrossRef]

Darafsheh, A.

V. N. Astratov, A. Darafsheh, M. D. Kerr, K. W. Allen, N. M. Fried, A. N. Antoszyk, and H. S. Ying, “Photonic nanojets for laser surgery,” SPIE Newsroom (2010), doi: 10.1117/2.1201002.002578.
[CrossRef]

Denkova, D.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Devilez, A.

Dholakia, K.

J. Bamgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2, 675–678 (2008).
[CrossRef]

Donegan, J. F.

Elfstrom, H.

Ferrand, P.

Ferraro, P.

F. Merola, S. Coppola, V. Vespini, S. Grilli, and P. Ferraro, “Characterization of Bessel beams generated by polymeric microaxicons,” Meas. Sci. Technol. 23, 065204 (2012).
[CrossRef]

Fried, N. M.

V. N. Astratov, A. Darafsheh, M. D. Kerr, K. W. Allen, N. M. Fried, A. N. Antoszyk, and H. S. Ying, “Photonic nanojets for laser surgery,” SPIE Newsroom (2010), doi: 10.1117/2.1201002.002578.
[CrossRef]

Gao, H.

C.-H. Chang, L. Tian, W. R. Hesse, H. Gao, H. J. Choi, J.-G. Kim, M. Siddiqui, and G. Barbastathis, “From two-dimensional colloidal self-assembly to three-dimensional nanolithography,” Nano Lett. 11, 2533–2537 (2011).
[CrossRef]

Gerard, D.

Grilli, S.

F. Merola, S. Coppola, V. Vespini, S. Grilli, and P. Ferraro, “Characterization of Bessel beams generated by polymeric microaxicons,” Meas. Sci. Technol. 23, 065204 (2012).
[CrossRef]

Heifetz, A.

A. Heifetz, S.-C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, “Photonic nanojets,” J. Comput. Theory. Nanosci. 6, 1979–1992 (2009).
[CrossRef]

Herzig, H. P.

Hesse, W. R.

C.-H. Chang, L. Tian, W. R. Hesse, H. Gao, H. J. Choi, J.-G. Kim, M. Siddiqui, and G. Barbastathis, “From two-dimensional colloidal self-assembly to three-dimensional nanolithography,” Nano Lett. 11, 2533–2537 (2011).
[CrossRef]

Jeyaram, Y.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Kerr, M. D.

V. N. Astratov, A. Darafsheh, M. D. Kerr, K. W. Allen, N. M. Fried, A. N. Antoszyk, and H. S. Ying, “Photonic nanojets for laser surgery,” SPIE Newsroom (2010), doi: 10.1117/2.1201002.002578.
[CrossRef]

Khonina, S. N.

Kim, J.-G.

C.-H. Chang, L. Tian, W. R. Hesse, H. Gao, H. J. Choi, J.-G. Kim, M. Siddiqui, and G. Barbastathis, “From two-dimensional colloidal self-assembly to three-dimensional nanolithography,” Nano Lett. 11, 2533–2537 (2011).
[CrossRef]

Kim, M.-S.

Kong, S.-C.

A. Heifetz, S.-C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, “Photonic nanojets,” J. Comput. Theory. Nanosci. 6, 1979–1992 (2009).
[CrossRef]

Koselik, N.

P. Polynkin, N. Koselik, J. W. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324, 229–232 (2009).
[CrossRef]

Kotlyar, V. V.

S. S. Stafeev and V. V. Kotlyar, “Elongated photonic nanojet from truncated cylindrical zone plate,” J. Atom. Mol. Opt. Phys. 2012, 1 (2012), doi: 10.1155/2012/123872.
[CrossRef]

V. V. Kotlyar, A. A. Almazov, S. N. Khonina, V. A. Soifer, H. Elfstrom, and J. Turunen, “Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate,” J. Opt. Soc. Am. A 22, 849–861 (2005).
[CrossRef]

V. V. Kotlyar and M. A. Lichmanov, “Electromagnetic wave diffraction by an infinite circular cylinder with homogeneous layers,” Comput. Opt. 24, 26–32 (2002).

Kuznetsov, A. I.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Li, X.

Lichmanov, M. A.

V. V. Kotlyar and M. A. Lichmanov, “Electromagnetic wave diffraction by an infinite circular cylinder with homogeneous layers,” Comput. Opt. 24, 26–32 (2002).

Martin, J.

Mazilu, M.

J. Bamgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2, 675–678 (2008).
[CrossRef]

McCloskey, D.

Merola, F.

F. Merola, S. Coppola, V. Vespini, S. Grilli, and P. Ferraro, “Characterization of Bessel beams generated by polymeric microaxicons,” Meas. Sci. Technol. 23, 065204 (2012).
[CrossRef]

Moloney, J. W.

P. Polynkin, N. Koselik, J. W. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324, 229–232 (2009).
[CrossRef]

Moshchalkov, V. V.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Mühlig, S.

Osley, E. J.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Petkov, V.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Pianta, M.

Plain, J.

Polynkin, P.

P. Polynkin, N. Koselik, J. W. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324, 229–232 (2009).
[CrossRef]

Popov, E.

Proust, J.

Reinhardt, C.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Rigneault, H.

Rockstuhl, C.

Russev, S.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Sahakian, A. V.

A. Heifetz, S.-C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, “Photonic nanojets,” J. Comput. Theory. Nanosci. 6, 1979–1992 (2009).
[CrossRef]

Scharf, T.

Siddiqui, M.

C.-H. Chang, L. Tian, W. R. Hesse, H. Gao, H. J. Choi, J.-G. Kim, M. Siddiqui, and G. Barbastathis, “From two-dimensional colloidal self-assembly to three-dimensional nanolithography,” Nano Lett. 11, 2533–2537 (2011).
[CrossRef]

Silhanek, A. V.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Siviloglou, G. A.

P. Polynkin, N. Koselik, J. W. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324, 229–232 (2009).
[CrossRef]

G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32, 979–981 (2007).
[CrossRef]

Soifer, V. A.

Stafeev, S. S.

S. S. Stafeev and V. V. Kotlyar, “Elongated photonic nanojet from truncated cylindrical zone plate,” J. Atom. Mol. Opt. Phys. 2012, 1 (2012), doi: 10.1155/2012/123872.
[CrossRef]

Stout, B.

Taflove, A.

A. Heifetz, S.-C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, “Photonic nanojets,” J. Comput. Theory. Nanosci. 6, 1979–1992 (2009).
[CrossRef]

X. Li, Z. Chen, A. Taflove, and V. Backman, “Optical analysis of nanoparticles via enhanced backscattering facilitated by 3D photonic nanojets,” Opt. Express 13, 526–533 (2005).
[CrossRef]

Tian, L.

C.-H. Chang, L. Tian, W. R. Hesse, H. Gao, H. J. Choi, J.-G. Kim, M. Siddiqui, and G. Barbastathis, “From two-dimensional colloidal self-assembly to three-dimensional nanolithography,” Nano Lett. 11, 2533–2537 (2011).
[CrossRef]

Tsutsumanova, G.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Turunen, J.

Valev, V. K.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Vandenbosch, G. A. E.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Verbiest, T.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Vespini, V.

F. Merola, S. Coppola, V. Vespini, S. Grilli, and P. Ferraro, “Characterization of Bessel beams generated by polymeric microaxicons,” Meas. Sci. Technol. 23, 065204 (2012).
[CrossRef]

Volskiy, V.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Wang, J. J.

Warburton, P. A.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Wenger, J.

Ying, H. S.

V. N. Astratov, A. Darafsheh, M. D. Kerr, K. W. Allen, N. M. Fried, A. N. Antoszyk, and H. S. Ying, “Photonic nanojets for laser surgery,” SPIE Newsroom (2010), doi: 10.1117/2.1201002.002578.
[CrossRef]

Zheng, X.

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Adv. Mater. (1)

V. K. Valev, D. Denkova, X. Zheng, A. I. Kuznetsov, C. Reinhardt, B. N. Chichkov, G. Tsutsumanova, E. J. Osley, V. Petkov, B. D. Clercq, A. V. Silhanek, Y. Jeyaram, V. Volskiy, P. A. Warburton, G. A. E. Vandenbosch, S. Russev, O. A. Aktsipetrov, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, “Plasmon-enhanced sub-wavelength laser ablation: plasmonic nanojets,” Adv. Mater. 24, OP29–OP35 (2012).
[CrossRef]

Comput. Opt. (1)

V. V. Kotlyar and M. A. Lichmanov, “Electromagnetic wave diffraction by an infinite circular cylinder with homogeneous layers,” Comput. Opt. 24, 26–32 (2002).

J. Atom. Mol. Opt. Phys. (1)

S. S. Stafeev and V. V. Kotlyar, “Elongated photonic nanojet from truncated cylindrical zone plate,” J. Atom. Mol. Opt. Phys. 2012, 1 (2012), doi: 10.1155/2012/123872.
[CrossRef]

J. Comput. Theory. Nanosci. (1)

A. Heifetz, S.-C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, “Photonic nanojets,” J. Comput. Theory. Nanosci. 6, 1979–1992 (2009).
[CrossRef]

J. Opt. Soc. Am. A (1)

Meas. Sci. Technol. (1)

F. Merola, S. Coppola, V. Vespini, S. Grilli, and P. Ferraro, “Characterization of Bessel beams generated by polymeric microaxicons,” Meas. Sci. Technol. 23, 065204 (2012).
[CrossRef]

Nano Lett. (1)

C.-H. Chang, L. Tian, W. R. Hesse, H. Gao, H. J. Choi, J.-G. Kim, M. Siddiqui, and G. Barbastathis, “From two-dimensional colloidal self-assembly to three-dimensional nanolithography,” Nano Lett. 11, 2533–2537 (2011).
[CrossRef]

Nat. Photonics (1)

J. Bamgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2, 675–678 (2008).
[CrossRef]

Opt. Express (4)

Opt. Lett. (2)

Science (1)

P. Polynkin, N. Koselik, J. W. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324, 229–232 (2009).
[CrossRef]

Other (1)

V. N. Astratov, A. Darafsheh, M. D. Kerr, K. W. Allen, N. M. Fried, A. N. Antoszyk, and H. S. Ying, “Photonic nanojets for laser surgery,” SPIE Newsroom (2010), doi: 10.1117/2.1201002.002578.
[CrossRef]

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Figures (7)

Fig. 1.
Fig. 1.

(a) Schematic view of the corner phase step and (b) an AFM image of phase step fabricated by e-beam lithography in a fused silica of size 5×10×1.2μm.

Fig. 2.
Fig. 2.

(a) Time-averaged intensity of linearly polarized light z=3.5μm above the step and (b) intensity profile along a horizontal axis which is parallel to the x axis and traverses the maximal intensity value (y=1.5μm). The corner step occupies the area ranging from 5μm to 0 on the x axis and from 5μm to 0 on the y axis.

Fig. 3.
Fig. 3.

(a) Intensity of the scalar light field in Eq. (1) when light is diffracted by a semi-infinite opaque screen that transmits light only in the region x<0, y<0, the incident wavelength is λ=633nm, distance travelled is z=4.766μm and (b) intensity profile along the axis parallel to the horizontal axis, drawn through the maximal intensity point (1.46μm; 1.46μm).

Fig. 4.
Fig. 4.

(a) NSOM image of the intensity distribution at distance z=3.5μm above the step and (b) intensity profile along the step boundary.

Fig. 5.
Fig. 5.

(a) Cross-sectional intensity profile for Fig. 2(a) profile and (b) profile of the intensity pattern in Fig. 4(a) drawn through the intensity peak at an angle of 135° to the x axis.

Fig. 6.
Fig. 6.

(a) FDTD-aided simulation of the intensity distribution in the zξ-plane when a plane wave is diffracted from a corner phase step of Fig. 1(a). (b) The LMJ shift from the corner (green line—numerical modeling, blue squares—experiment)

Fig. 7.
Fig. 7.

LMJ’s (a) maximal intensity and (b) FWHM diameter as a function of distance z to the step (dots and a curve denote the FDTD simulation; squares with vertical lines denote the experiment).

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

E(u,v,z)={12i2[C(ω)+iS(ω)]}{12i2[C(ψ)+iS(ψ)]},
C(ω)=0ωcos(πt22)dt,S(ω)=0ωsin(πt22)dt.
T00,92λz.
R0,94λz.
L0.922λ(z2z1)=1.21μm.

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