Abstract

Previous second-harmonic-generation experiments on metallic split-ring-resonator arrays have been performed at fixed fundamental laser center frequency. Here, we perform nonlinear optical spectroscopy on a first set of samples, revealing pronounced resonances. Furthermore, to clarify the role of higher-order split-ring resonances, we perform additional experiments on a second set of samples in which the fundamental split-ring-resonator resonance frequencies are lithographically tuned, whereas the higher-order resonances are fixed. We find that the higher-order res onances merely reabsorb the second-harmonic generation, revealing the fundamental split-ring resonance as the nonlinear source.

© 2011 Optical Society of America

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2010

2009

2008

2007

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

S. Kujala, B. K. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, Phys. Rev. Lett. 98, 167403 (2007).
[CrossRef] [PubMed]

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Nano Lett. 7, 1251 (2007).
[CrossRef] [PubMed]

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

C. M. Soukoulis, S. Linden, and M. Wegener, Science 315, 47 (2007).
[CrossRef] [PubMed]

2006

A. V. Rogacheva, V. A. Fedotov, A. S. Schwanecke, and N. I. Zheludev, Phys. Rev. Lett. 97, 177401 (2006).
[CrossRef] [PubMed]

M. W. Klein, C. Enkrich, M. Wegener, and S. Linden, Science 313, 502 (2006).
[CrossRef] [PubMed]

2004

S. Linden, C. Enkrich, M. Wegener, J. F. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

1973

W. H. Strehlow and E. L. Cook, J. Phys. Chem. Ref. Data 2, 163 (1973).
[CrossRef]

Bai, B.

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Nano Lett. 7, 1251 (2007).
[CrossRef] [PubMed]

Busch, K.

Canfield, B. K.

S. Kujala, B. K. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, Phys. Rev. Lett. 98, 167403 (2007).
[CrossRef] [PubMed]

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Nano Lett. 7, 1251 (2007).
[CrossRef] [PubMed]

Cook, E. L.

W. H. Strehlow and E. L. Cook, J. Phys. Chem. Ref. Data 2, 163 (1973).
[CrossRef]

Decker, M.

Enkrich, C.

M. W. Klein, C. Enkrich, M. Wegener, and S. Linden, Science 313, 502 (2006).
[CrossRef] [PubMed]

S. Linden, C. Enkrich, M. Wegener, J. F. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

Fedotov, V. A.

A. V. Rogacheva, V. A. Fedotov, A. S. Schwanecke, and N. I. Zheludev, Phys. Rev. Lett. 97, 177401 (2006).
[CrossRef] [PubMed]

Feth, N.

Gieseler, J.

Hoyer, W.

Husu, H.

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Nano Lett. 7, 1251 (2007).
[CrossRef] [PubMed]

Kauranen, M.

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Nano Lett. 7, 1251 (2007).
[CrossRef] [PubMed]

S. Kujala, B. K. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, Phys. Rev. Lett. 98, 167403 (2007).
[CrossRef] [PubMed]

Klein, M. W.

Koch, S. W.

Koschny, T.

S. Linden, C. Enkrich, M. Wegener, J. F. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

Kuittinen, M.

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Nano Lett. 7, 1251 (2007).
[CrossRef] [PubMed]

Kujala, S.

S. Kujala, B. K. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, Phys. Rev. Lett. 98, 167403 (2007).
[CrossRef] [PubMed]

Laukkanen, J.

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Nano Lett. 7, 1251 (2007).
[CrossRef] [PubMed]

Linden, S.

Liu, J.

Moloney, J. V.

Niegemann, J.

Niesler, F. B. P.

Rogacheva, A. V.

A. V. Rogacheva, V. A. Fedotov, A. S. Schwanecke, and N. I. Zheludev, Phys. Rev. Lett. 97, 177401 (2006).
[CrossRef] [PubMed]

Schwanecke, A. S.

A. V. Rogacheva, V. A. Fedotov, A. S. Schwanecke, and N. I. Zheludev, Phys. Rev. Lett. 97, 177401 (2006).
[CrossRef] [PubMed]

Shalaev, V. M.

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

Soukoulis, C. M.

M. Decker, R. Zhao, C. M. Soukoulis, S. Linden, and M. Wegener, Opt. Lett. 35, 1593 (2010).
[CrossRef] [PubMed]

C. M. Soukoulis, S. Linden, and M. Wegener, Science 315, 47 (2007).
[CrossRef] [PubMed]

S. Linden, C. Enkrich, M. Wegener, J. F. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

Strehlow, W. H.

W. H. Strehlow and E. L. Cook, J. Phys. Chem. Ref. Data 2, 163 (1973).
[CrossRef]

Svirko, Y.

S. Kujala, B. K. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, Phys. Rev. Lett. 98, 167403 (2007).
[CrossRef] [PubMed]

Turunen, J.

S. Kujala, B. K. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, Phys. Rev. Lett. 98, 167403 (2007).
[CrossRef] [PubMed]

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Nano Lett. 7, 1251 (2007).
[CrossRef] [PubMed]

Wegener, M.

Zeng, Y.

Zhao, R.

Zheludev, N. I.

A. V. Rogacheva, V. A. Fedotov, A. S. Schwanecke, and N. I. Zheludev, Phys. Rev. Lett. 97, 177401 (2006).
[CrossRef] [PubMed]

Zhou, J. F.

S. Linden, C. Enkrich, M. Wegener, J. F. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

J. Phys. Chem. Ref. Data

W. H. Strehlow and E. L. Cook, J. Phys. Chem. Ref. Data 2, 163 (1973).
[CrossRef]

Nano Lett.

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, Nano Lett. 7, 1251 (2007).
[CrossRef] [PubMed]

Nat. Photon.

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

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

S. Kujala, B. K. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, Phys. Rev. Lett. 98, 167403 (2007).
[CrossRef] [PubMed]

A. V. Rogacheva, V. A. Fedotov, A. S. Schwanecke, and N. I. Zheludev, Phys. Rev. Lett. 97, 177401 (2006).
[CrossRef] [PubMed]

Science

S. Linden, C. Enkrich, M. Wegener, J. F. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

M. W. Klein, C. Enkrich, M. Wegener, and S. Linden, Science 313, 502 (2006).
[CrossRef] [PubMed]

C. M. Soukoulis, S. Linden, and M. Wegener, Science 315, 47 (2007).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Scheme of the experimental setup for spectrally resolved nonlinear optical second-harmonic generation from split-ring-resonator arrays (M: mirror, L: lens, BS: beam splitter).

Fig. 2
Fig. 2

Second-harmonic-generation spectra (dots connected by green curves to guide the eye) obtained from three different samples (a)–(c) with different SRR sizes. The incident fundamental laser is linearly polarized along the horizontal direction as defined with respect to the samples by the red double arrows. The SHG emerges with vertical linear polarization as defined by the blue double arrows. Each SHG data point is intentionally plotted twice in the same spectrum: as a function of the fundamental laser wavelength and as a function of half that wavelength (i.e., the SHG wavelength). Spectral regions that are not accessible by the OPA tuning range are indicated in gray. To define the samples, the insets in (a)–(c) show electron micrographs for each sample. To allow for direct comparison with the SHG data, normal incidence linear extinction spectra (negative logarithm of the measured transmittance) for horizontal (red) and vertical (blue) incident linear polarization are also shown for each case (a)–(c).

Fig. 3
Fig. 3

Experimental results represented as in Fig. 2, but for a second set of SRR samples for which the shape (rather than just the size) is lithographically tuned. The shape tuning is performed such that the fundamental SRR resonances shift, whereas the higher-order resonances are approximately fixed.

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