Abstract

Azimuthal anisotropy of Stokes parameters of the second harmonic generation (SHG) generated and observed in reflection from a periodic planar area of G-shaped gold nanostructures is studied. A strong anisotropy of both coherent and incoherent SHG components is observed. Finite-difference time-domain calculations prove that the observed effects are due to the anisotropic enhancement of the fundamental radiation within the G-shaped structures.

© 2011 Optical Society of America

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    [CrossRef]
  2. V. Shalaev, Nat. Photon. 1, 41 (2007).
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  3. J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, Phys. Rev. Lett. 97, 146102 (2006).
    [CrossRef] [PubMed]
  4. E. Kim, Y. R. Shen, W. Wu, E. Ponizovskaya, Z. Yu, A. M. Bratkovsky, S.-Y.Wang, and R. S. Williams, Appl. Phys. Lett. 91, 173105 (2007).
    [CrossRef]
  5. Z. Wei, Y. Cao, J. Han, C. Wu, Y. Fan, and H. Li, Appl. Phys. Lett. 97, 141901 (2010).
    [CrossRef]
  6. H. Husu, B. K. Canfield, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Metamaterials 2, 155 (2008).
    [CrossRef]
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    [CrossRef] [PubMed]
  8. A. Papakostas, A. Potts, D. M. Bagnall, S. L. Prosvirnin, H. J. Coles, and N. I. Zheludev, Phys. Rev. Lett. 90, 107404(2003).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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2011

2010

Z. Wei, Y. Cao, J. Han, C. Wu, Y. Fan, and H. Li, Appl. Phys. Lett. 97, 141901 (2010).
[CrossRef]

V. K. Valev, A. V. Silhanek, N. Verellen, W. Gillijns, P. Van Dorpe, O. A. Aktsipetrov, G. A. E. Vandenbosch, V. V. Moshchalkov, and T. Verbiest, Phys. Rev. Lett. 104, 127401 (2010).
[CrossRef] [PubMed]

2009

V. K. Valev, N. Smisdom, A. V. Silhanek, B. De Clercq, W. Gillijns, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, Nano Lett. 9, 3945 (2009).
[CrossRef] [PubMed]

2008

S. Kim, J. Jin, Y.-J. Kim, I.-Y. Park, Y. Kim, and S.-W. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

H. Husu, B. K. Canfield, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Metamaterials 2, 155 (2008).
[CrossRef]

S. Kujala, B. K. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, Opt. Express 16, 17196 (2008).
[CrossRef] [PubMed]

2007

V. Shalaev, Nat. Photon. 1, 41 (2007).
[CrossRef]

E. Kim, Y. R. Shen, W. Wu, E. Ponizovskaya, Z. Yu, A. M. Bratkovsky, S.-Y.Wang, and R. S. Williams, Appl. Phys. Lett. 91, 173105 (2007).
[CrossRef]

V. A. Fedotov, A. S. SchwaneckeN. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

C. Hubert, L. Billot, P.-M. Adam, R. Bachelot, P. Royer, J. Grand, D. Gindre, K. D. Dorkenoo, and A. Fort, Appl. Phys. Lett. 90, 181105 (2007).
[CrossRef]

M. W. Klein, M. Wegener, N. Feth, and S. Linden, Opt. Express 15, 5238 (2007).
[CrossRef] [PubMed]

2006

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, Phys. Rev. Lett. 97, 146102 (2006).
[CrossRef] [PubMed]

2005

2004

J. B. Pendry, Contemp. Phys. 45, 191 (2004).
[CrossRef]

2003

A. Papakostas, A. Potts, D. M. Bagnall, S. L. Prosvirnin, H. J. Coles, and N. I. Zheludev, Phys. Rev. Lett. 90, 107404(2003).
[CrossRef] [PubMed]

1986

O. A. Aktsipetrov, I. M. Baranova, and Yu. A. Il’inskii, Sov. Phys. JETP 64, 167 (1986).

Adam, P.-M.

C. Hubert, L. Billot, P.-M. Adam, R. Bachelot, P. Royer, J. Grand, D. Gindre, K. D. Dorkenoo, and A. Fort, Appl. Phys. Lett. 90, 181105 (2007).
[CrossRef]

Aktsipetrov, O. A.

Ameloot, M.

Bachelot, R.

C. Hubert, L. Billot, P.-M. Adam, R. Bachelot, P. Royer, J. Grand, D. Gindre, K. D. Dorkenoo, and A. Fort, Appl. Phys. Lett. 90, 181105 (2007).
[CrossRef]

Bagnall, D. M.

A. Papakostas, A. Potts, D. M. Bagnall, S. L. Prosvirnin, H. J. Coles, and N. I. Zheludev, Phys. Rev. Lett. 90, 107404(2003).
[CrossRef] [PubMed]

Bai, B.

H. Husu, B. K. Canfield, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Metamaterials 2, 155 (2008).
[CrossRef]

Baranova, I. M.

O. A. Aktsipetrov, I. M. Baranova, and Yu. A. Il’inskii, Sov. Phys. JETP 64, 167 (1986).

Billot, L.

C. Hubert, L. Billot, P.-M. Adam, R. Bachelot, P. Royer, J. Grand, D. Gindre, K. D. Dorkenoo, and A. Fort, Appl. Phys. Lett. 90, 181105 (2007).
[CrossRef]

Biris, C. G.

Bratkovsky, A. M.

E. Kim, Y. R. Shen, W. Wu, E. Ponizovskaya, Z. Yu, A. M. Bratkovsky, S.-Y.Wang, and R. S. Williams, Appl. Phys. Lett. 91, 173105 (2007).
[CrossRef]

Canfield, B. K.

S. Kujala, B. K. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, Opt. Express 16, 17196 (2008).
[CrossRef] [PubMed]

H. Husu, B. K. Canfield, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Metamaterials 2, 155 (2008).
[CrossRef]

Cao, Y.

Z. Wei, Y. Cao, J. Han, C. Wu, Y. Fan, and H. Li, Appl. Phys. Lett. 97, 141901 (2010).
[CrossRef]

Chen, Y.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

Coles, H. J.

A. Papakostas, A. Potts, D. M. Bagnall, S. L. Prosvirnin, H. J. Coles, and N. I. Zheludev, Phys. Rev. Lett. 90, 107404(2003).
[CrossRef] [PubMed]

De Clercq, B.

Dorkenoo, K. D.

C. Hubert, L. Billot, P.-M. Adam, R. Bachelot, P. Royer, J. Grand, D. Gindre, K. D. Dorkenoo, and A. Fort, Appl. Phys. Lett. 90, 181105 (2007).
[CrossRef]

Dorpe, P. Van

V. K. Valev, A. V. Silhanek, N. Verellen, W. Gillijns, P. Van Dorpe, O. A. Aktsipetrov, G. A. E. Vandenbosch, V. V. Moshchalkov, and T. Verbiest, Phys. Rev. Lett. 104, 127401 (2010).
[CrossRef] [PubMed]

E. Vandenbosch, G. A.

V. K. Valev, A. V. Silhanek, N. Verellen, W. Gillijns, P. Van Dorpe, O. A. Aktsipetrov, G. A. E. Vandenbosch, V. V. Moshchalkov, and T. Verbiest, Phys. Rev. Lett. 104, 127401 (2010).
[CrossRef] [PubMed]

Enoch, S.

J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, Phys. Rev. Lett. 97, 146102 (2006).
[CrossRef] [PubMed]

Fan, Y.

Z. Wei, Y. Cao, J. Han, C. Wu, Y. Fan, and H. Li, Appl. Phys. Lett. 97, 141901 (2010).
[CrossRef]

Fedotov, V. A.

V. A. Fedotov, A. S. SchwaneckeN. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

Fedyanin, A. A.

Feth, N.

Fort, A.

C. Hubert, L. Billot, P.-M. Adam, R. Bachelot, P. Royer, J. Grand, D. Gindre, K. D. Dorkenoo, and A. Fort, Appl. Phys. Lett. 90, 181105 (2007).
[CrossRef]

Gillijns, W.

V. K. Valev, A. V. Silhanek, N. Verellen, W. Gillijns, P. Van Dorpe, O. A. Aktsipetrov, G. A. E. Vandenbosch, V. V. Moshchalkov, and T. Verbiest, Phys. Rev. Lett. 104, 127401 (2010).
[CrossRef] [PubMed]

V. K. Valev, N. Smisdom, A. V. Silhanek, B. De Clercq, W. Gillijns, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, Nano Lett. 9, 3945 (2009).
[CrossRef] [PubMed]

Gindre, D.

C. Hubert, L. Billot, P.-M. Adam, R. Bachelot, P. Royer, J. Grand, D. Gindre, K. D. Dorkenoo, and A. Fort, Appl. Phys. Lett. 90, 181105 (2007).
[CrossRef]

Grand, J.

C. Hubert, L. Billot, P.-M. Adam, R. Bachelot, P. Royer, J. Grand, D. Gindre, K. D. Dorkenoo, and A. Fort, Appl. Phys. Lett. 90, 181105 (2007).
[CrossRef]

Han, J.

Z. Wei, Y. Cao, J. Han, C. Wu, Y. Fan, and H. Li, Appl. Phys. Lett. 97, 141901 (2010).
[CrossRef]

Harmsen, R. H.

J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, Phys. Rev. Lett. 97, 146102 (2006).
[CrossRef] [PubMed]

Hubert, C.

C. Hubert, L. Billot, P.-M. Adam, R. Bachelot, P. Royer, J. Grand, D. Gindre, K. D. Dorkenoo, and A. Fort, Appl. Phys. Lett. 90, 181105 (2007).
[CrossRef]

Husu, H.

H. Husu, B. K. Canfield, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Metamaterials 2, 155 (2008).
[CrossRef]

Il’inskii, Yu. A.

O. A. Aktsipetrov, I. M. Baranova, and Yu. A. Il’inskii, Sov. Phys. JETP 64, 167 (1986).

Inoue, M.

Ivanchenko, M. V.

Jin, J.

S. Kim, J. Jin, Y.-J. Kim, I.-Y. Park, Y. Kim, and S.-W. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

Kapra, R. V.

Kauranen, M.

H. Husu, B. K. Canfield, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Metamaterials 2, 155 (2008).
[CrossRef]

S. Kujala, B. K. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, Opt. Express 16, 17196 (2008).
[CrossRef] [PubMed]

Khardikov, V. V.

V. A. Fedotov, A. S. SchwaneckeN. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

Kim, E.

E. Kim, Y. R. Shen, W. Wu, E. Ponizovskaya, Z. Yu, A. M. Bratkovsky, S.-Y.Wang, and R. S. Williams, Appl. Phys. Lett. 91, 173105 (2007).
[CrossRef]

Kim, E. M.

Kim, S.

S. Kim, J. Jin, Y.-J. Kim, I.-Y. Park, Y. Kim, and S.-W. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

Kim, S.-W.

S. Kim, J. Jin, Y.-J. Kim, I.-Y. Park, Y. Kim, and S.-W. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

Kim, Y.

S. Kim, J. Jin, Y.-J. Kim, I.-Y. Park, Y. Kim, and S.-W. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

Kim, Y.-J.

S. Kim, J. Jin, Y.-J. Kim, I.-Y. Park, Y. Kim, and S.-W. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

Klein, M. W.

Kravets, A. F.

Kuipers, L.

J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, Phys. Rev. Lett. 97, 146102 (2006).
[CrossRef] [PubMed]

Kuittinen, M.

H. Husu, B. K. Canfield, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Metamaterials 2, 155 (2008).
[CrossRef]

Kujala, S.

Kuznetsova, S. V.

Laukkanen, J.

H. Husu, B. K. Canfield, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Metamaterials 2, 155 (2008).
[CrossRef]

Li, H.

Z. Wei, Y. Cao, J. Han, C. Wu, Y. Fan, and H. Li, Appl. Phys. Lett. 97, 141901 (2010).
[CrossRef]

Lifshits, V. G.

Linden, S.

Mladyonov, P. L.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

Moshchalkov, V. V.

V. K. Valev, X. Zheng, C. G. Biris, A. V. Silhanek, V. Volskiy, B. De Clercq, O. A. Aktsipetrov, M. Ameloot, N. C. Panoiu, G. A. E. Vandenbosch, and V. V. Moshchalkov, Opt. Mater. Express 1, 36 (2011).
[CrossRef]

V. K. Valev, A. V. Silhanek, N. Verellen, W. Gillijns, P. Van Dorpe, O. A. Aktsipetrov, G. A. E. Vandenbosch, V. V. Moshchalkov, and T. Verbiest, Phys. Rev. Lett. 104, 127401 (2010).
[CrossRef] [PubMed]

V. K. Valev, N. Smisdom, A. V. Silhanek, B. De Clercq, W. Gillijns, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, Nano Lett. 9, 3945 (2009).
[CrossRef] [PubMed]

Murzina, T. V.

Nee, S.-M. F.

S.-M. F. Nee, in The Measurement, Instrumentation and Sensors Handbook, J.G.Webster, ed. (CRC, 1999), pp. 60-1–60-24.

Panoiu, N. C.

Papakostas, A.

A. Papakostas, A. Potts, D. M. Bagnall, S. L. Prosvirnin, H. J. Coles, and N. I. Zheludev, Phys. Rev. Lett. 90, 107404(2003).
[CrossRef] [PubMed]

Park, I.-Y.

S. Kim, J. Jin, Y.-J. Kim, I.-Y. Park, Y. Kim, and S.-W. Kim, Nature 453, 757 (2008).
[CrossRef] [PubMed]

Pendry, J. B.

J. B. Pendry, Contemp. Phys. 45, 191 (2004).
[CrossRef]

Ponizovskaya, E.

E. Kim, Y. R. Shen, W. Wu, E. Ponizovskaya, Z. Yu, A. M. Bratkovsky, S.-Y.Wang, and R. S. Williams, Appl. Phys. Lett. 91, 173105 (2007).
[CrossRef]

Potts, A.

A. Papakostas, A. Potts, D. M. Bagnall, S. L. Prosvirnin, H. J. Coles, and N. I. Zheludev, Phys. Rev. Lett. 90, 107404(2003).
[CrossRef] [PubMed]

Prangsma, J. C.

J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, Phys. Rev. Lett. 97, 146102 (2006).
[CrossRef] [PubMed]

Prosvirnin, S. L.

V. A. Fedotov, A. S. SchwaneckeN. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

A. Papakostas, A. Potts, D. M. Bagnall, S. L. Prosvirnin, H. J. Coles, and N. I. Zheludev, Phys. Rev. Lett. 90, 107404(2003).
[CrossRef] [PubMed]

Rogacheva, A. V.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

Royer, P.

C. Hubert, L. Billot, P.-M. Adam, R. Bachelot, P. Royer, J. Grand, D. Gindre, K. D. Dorkenoo, and A. Fort, Appl. Phys. Lett. 90, 181105 (2007).
[CrossRef]

Sandtke, M.

J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, Phys. Rev. Lett. 97, 146102 (2006).
[CrossRef] [PubMed]

Schwanecke, A. S.

V. A. Fedotov, A. S. SchwaneckeN. I. Zheludev, V. V. Khardikov, and S. L. Prosvirnin, Nano Lett. 7, 1996 (2007).
[CrossRef]

Segerink, F. B.

J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, Phys. Rev. Lett. 97, 146102 (2006).
[CrossRef] [PubMed]

Shalaev, V.

V. Shalaev, Nat. Photon. 1, 41 (2007).
[CrossRef]

Shen, Y. R.

E. Kim, Y. R. Shen, W. Wu, E. Ponizovskaya, Z. Yu, A. M. Bratkovsky, S.-Y.Wang, and R. S. Williams, Appl. Phys. Lett. 91, 173105 (2007).
[CrossRef]

Silhanek, A. V.

V. K. Valev, X. Zheng, C. G. Biris, A. V. Silhanek, V. Volskiy, B. De Clercq, O. A. Aktsipetrov, M. Ameloot, N. C. Panoiu, G. A. E. Vandenbosch, and V. V. Moshchalkov, Opt. Mater. Express 1, 36 (2011).
[CrossRef]

V. K. Valev, A. V. Silhanek, N. Verellen, W. Gillijns, P. Van Dorpe, O. A. Aktsipetrov, G. A. E. Vandenbosch, V. V. Moshchalkov, and T. Verbiest, Phys. Rev. Lett. 104, 127401 (2010).
[CrossRef] [PubMed]

V. K. Valev, N. Smisdom, A. V. Silhanek, B. De Clercq, W. Gillijns, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, Nano Lett. 9, 3945 (2009).
[CrossRef] [PubMed]

Smisdom, N.

V. K. Valev, N. Smisdom, A. V. Silhanek, B. De Clercq, W. Gillijns, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, Nano Lett. 9, 3945 (2009).
[CrossRef] [PubMed]

Svirko, Y.

Turunen, J.

S. Kujala, B. K. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, Opt. Express 16, 17196 (2008).
[CrossRef] [PubMed]

H. Husu, B. K. Canfield, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Metamaterials 2, 155 (2008).
[CrossRef]

Valev, V. K.

V. K. Valev, X. Zheng, C. G. Biris, A. V. Silhanek, V. Volskiy, B. De Clercq, O. A. Aktsipetrov, M. Ameloot, N. C. Panoiu, G. A. E. Vandenbosch, and V. V. Moshchalkov, Opt. Mater. Express 1, 36 (2011).
[CrossRef]

V. K. Valev, A. V. Silhanek, N. Verellen, W. Gillijns, P. Van Dorpe, O. A. Aktsipetrov, G. A. E. Vandenbosch, V. V. Moshchalkov, and T. Verbiest, Phys. Rev. Lett. 104, 127401 (2010).
[CrossRef] [PubMed]

V. K. Valev, N. Smisdom, A. V. Silhanek, B. De Clercq, W. Gillijns, M. Ameloot, V. V. Moshchalkov, and T. Verbiest, Nano Lett. 9, 3945 (2009).
[CrossRef] [PubMed]

van Nieuwstadt, J. A. H.

J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, Phys. Rev. Lett. 97, 146102 (2006).
[CrossRef] [PubMed]

Vandenbosch, G. A. E.

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Figures (3)

Fig. 1
Fig. 1

(a), (b) SHG anisotropy for p-p, p-s, s-p, and s-s combinations of polarizations of the fundamental and SHG waves denoted by the first and second letters, respectively; p denotes polarization parallel to the plane of incidence, and s, perpendicular to it. Inset: a schematic view of the structure and the plane of incidence for ψ = 0 ° ; the indicated dimensions are in micrometers. The orientation of the G-elements at ψ = 0 ° , 90 ° , 180 ° , 270 ° , and 360 ° are shown below the experimental data; the plane of incidence corresponds to ψ = 0 .

Fig. 2
Fig. 2

Azimuthal dependencies of coherent (filled circles) and incoherent (open circles) SHG under excitation by (a)  p-polarized and (b) s-polarized fundamental beams. Inset: the SHG indicatrix measured for ψ = 0 ° and p - ω , p - 2 ω combination of polarizations.

Fig. 3
Fig. 3

Local field distribution of the p-polarized fundamental (top panels) and SHG (bottom panels) radiation for the azimuthal positions of the samples ψ = 0 ° (left panels) and ψ = 45 ° (right panels).

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