Abstract

We demonstrate that resonant optical forces generated within all-dielectric planar photonic metamaterials at near-infrared illumination wavelengths can be an order of magnitude larger than in corresponding plasmonic metamaterials, reaching levels many tens of times greater than the force resulting from radiation pressure. This is made possible by the dielectric structures’ freedom from Joule losses and the consequent ability to sustain Fano-resonances with high quality factors that are unachievable in plasmonic nanostructures. Dielectric nano-optomechanical metamaterials can thus provide a functional platform for a range of novel dynamically controlled and self-adaptive nonlinear, tunable/switchable photonic metamaterials.

© 2014 Optical Society of America

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2013 (7)

J.-Y. Ou, E. Plum, J. Zhang, and N. I. Zheludev, Nat. Nanotechnol. 8, 252 (2013).
[CrossRef]

V. Ginis, P. Tassin, C. M. Soukoulis, and I. Veretennicoff, Phys. Rev. Lett. 110, 057401 (2013).
[CrossRef]

M. Ren, J. Huang, H. Cai, J. M. Tsai, J. Zhou, Z. Liu, Z. Suo, and A.-Q. Liu, ACS Nano 7, 1676 (2013).
[CrossRef]

J. Zhang, K. F. MacDonald, and N. I. Zheludev, Light Sci. Appl. 2, e96 (2013).
[CrossRef]

Q. Zhang, J. J. Xiao, X. M. Zhang, Y. Yao, and H. Liu, Opt. Express 21, 6601 (2013).
[CrossRef]

C. Tang, Q. Wang, F. Liu, Z. Chen, and Z. Wang, Opt. Express 21, 11783 (2013).
[CrossRef]

J. Zhang, K. F. MacDonald, and N. I. Zheludev, Opt. Express 21, 26721 (2013).
[CrossRef]

2012 (6)

L. Shi, E. Xifré-Pérez, F. J. García de Abajo, and F. Meseguer, Opt. Express 20, 11247 (2012).
[CrossRef]

V. V. Khardikov, E. O. Iarko, and S. L. Prosvirnin, J. Opt. 14, 035103 (2012).
[CrossRef]

M. Lapine, I. Shadrivov, D. A. Powell, and Y. Kivshar, Nat. Mater. 11, 30 (2012).
[CrossRef]

A. Q. Liu, W. M. Zhu, D. P. Tsai, and N. I. Zheludev, J. Opt. 14, 114009 (2012).
[CrossRef]

J. Zhang, K. F. MacDonald, and N. I. Zheludev, Phys. Rev. B 85, 205123 (2012).
[CrossRef]

T. Cao and M. J. Cryan, Prog. Electromagn. Res. 129, 33 (2012).
[CrossRef]

2011 (8)

M. L. Juan, M. Righini, and R. Quidant, Nat. Photonics 5, 349 (2011).
[CrossRef]

X. Yang, Y. Liu, R. F. Oulton, X. Yin, and X. Zhang, Nano Lett. 11, 321 (2011).
[CrossRef]

H. Liu, J. Ng, S. B. Wang, Z. F. Lin, Z. H. Hang, C. T. Chan, and S. N. Zhu, Phys. Rev. Lett. 106, 087401 (2011).
[CrossRef]

M. Padgett and R. Bowman, Nat. Photonics 5, 343 (2011).
[CrossRef]

K. Dholakia and T. Cizmar, Nat. Photonics 5, 335 (2011).
[CrossRef]

S. B. Wang, J. Ng, H. Liu, H. H. Zheng, Z. H. Hang, and C. T. Chan, Phys. Rev. B 84, 075114 (2011).
[CrossRef]

A. Boltasseva and H. A. Atwater, Science 331, 290 (2011).
[CrossRef]

A. W. Rodriguez, A. P. McCauley, P. C. Hui, D. Woolf, E. Iwase, F. Capasso, M. Loncar, and S. G. Johnson, Opt. Express 19, 2225 (2011).
[CrossRef]

2010 (5)

R. Zhao, P. Tassin, T. Koschny, and C. M. Soukoulis, Opt. Express 18, 25665 (2010).
[CrossRef]

M. Liu, T. Zentgraf, Y. Liu, G. Bartal, and X. Zhang, Nat. Nanotechnol. 5, 570 (2010).
[CrossRef]

B. S. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, Nat. Mater. 9, 707 (2010).
[CrossRef]

K. Dholakia and P. Zemánek, Rev. Mod. Phys. 82, 1767 (2010).
[CrossRef]

D. Van Thourhout and J. Roels, Nat. Photonics 4, 211 (2010).
[CrossRef]

2009 (3)

M. Li, W. H. P. Pernice, and H. X. Tang, Nat. Photonics 3, 464 (2009).
[CrossRef]

Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, Mater. Today 12(12), 60 (2009).
[CrossRef]

V. Liu, M. Povinelli, and S. Fan, Opt. Express 17, 21897 (2009).
[CrossRef]

2008 (1)

T. J. Kippenberg and K. J. Vahala, Science 321, 1172 (2008).
[CrossRef]

2007 (2)

P. T. Rakich, M. A. Popovic, M. Soljacic, and E. P. Ippen, Nat. Photonics 1, 658 (2007).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

1999 (1)

M. I. Antonoyiannakis and J. B. Pendry, Phys. Rev. B 60, 2363 (1999).
[CrossRef]

Antonoyiannakis, M. I.

M. I. Antonoyiannakis and J. B. Pendry, Phys. Rev. B 60, 2363 (1999).
[CrossRef]

Arju, N.

C. Wu, N. Arju, G. Kelp, J. A. Fan, J. Dominguez, E. Gonzales, E. Tutuc, I. Brener, and G. Shvets, “Silicon-based infrared metamaterials with ultra-sharp Fano resonances,” arXiv:1309.6616 (2013).

Atwater, H. A.

A. Boltasseva and H. A. Atwater, Science 331, 290 (2011).
[CrossRef]

Bartal, G.

M. Liu, T. Zentgraf, Y. Liu, G. Bartal, and X. Zhang, Nat. Nanotechnol. 5, 570 (2010).
[CrossRef]

Boltasseva, A.

A. Boltasseva and H. A. Atwater, Science 331, 290 (2011).
[CrossRef]

Bowman, R.

M. Padgett and R. Bowman, Nat. Photonics 5, 343 (2011).
[CrossRef]

Brener, I.

C. Wu, N. Arju, G. Kelp, J. A. Fan, J. Dominguez, E. Gonzales, E. Tutuc, I. Brener, and G. Shvets, “Silicon-based infrared metamaterials with ultra-sharp Fano resonances,” arXiv:1309.6616 (2013).

Cai, H.

M. Ren, J. Huang, H. Cai, J. M. Tsai, J. Zhou, Z. Liu, Z. Suo, and A.-Q. Liu, ACS Nano 7, 1676 (2013).
[CrossRef]

Cao, T.

T. Cao and M. J. Cryan, Prog. Electromagn. Res. 129, 33 (2012).
[CrossRef]

Capasso, F.

Chan, C. T.

H. Liu, J. Ng, S. B. Wang, Z. F. Lin, Z. H. Hang, C. T. Chan, and S. N. Zhu, Phys. Rev. Lett. 106, 087401 (2011).
[CrossRef]

S. B. Wang, J. Ng, H. Liu, H. H. Zheng, Z. H. Hang, and C. T. Chan, Phys. Rev. B 84, 075114 (2011).
[CrossRef]

Chen, Z.

Chong, C. T.

B. S. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, Nat. Mater. 9, 707 (2010).
[CrossRef]

Cizmar, T.

K. Dholakia and T. Cizmar, Nat. Photonics 5, 335 (2011).
[CrossRef]

Cryan, M. J.

T. Cao and M. J. Cryan, Prog. Electromagn. Res. 129, 33 (2012).
[CrossRef]

Dholakia, K.

K. Dholakia and T. Cizmar, Nat. Photonics 5, 335 (2011).
[CrossRef]

K. Dholakia and P. Zemánek, Rev. Mod. Phys. 82, 1767 (2010).
[CrossRef]

Dominguez, J.

C. Wu, N. Arju, G. Kelp, J. A. Fan, J. Dominguez, E. Gonzales, E. Tutuc, I. Brener, and G. Shvets, “Silicon-based infrared metamaterials with ultra-sharp Fano resonances,” arXiv:1309.6616 (2013).

Fan, J. A.

C. Wu, N. Arju, G. Kelp, J. A. Fan, J. Dominguez, E. Gonzales, E. Tutuc, I. Brener, and G. Shvets, “Silicon-based infrared metamaterials with ultra-sharp Fano resonances,” arXiv:1309.6616 (2013).

Fan, S.

Fedotov, V. A.

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

García de Abajo, F. J.

Giessen, H.

B. S. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, Nat. Mater. 9, 707 (2010).
[CrossRef]

Ginis, V.

V. Ginis, P. Tassin, C. M. Soukoulis, and I. Veretennicoff, Phys. Rev. Lett. 110, 057401 (2013).
[CrossRef]

Gonzales, E.

C. Wu, N. Arju, G. Kelp, J. A. Fan, J. Dominguez, E. Gonzales, E. Tutuc, I. Brener, and G. Shvets, “Silicon-based infrared metamaterials with ultra-sharp Fano resonances,” arXiv:1309.6616 (2013).

Halas, N. J.

B. S. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, Nat. Mater. 9, 707 (2010).
[CrossRef]

Hang, Z. H.

H. Liu, J. Ng, S. B. Wang, Z. F. Lin, Z. H. Hang, C. T. Chan, and S. N. Zhu, Phys. Rev. Lett. 106, 087401 (2011).
[CrossRef]

S. B. Wang, J. Ng, H. Liu, H. H. Zheng, Z. H. Hang, and C. T. Chan, Phys. Rev. B 84, 075114 (2011).
[CrossRef]

Huang, J.

M. Ren, J. Huang, H. Cai, J. M. Tsai, J. Zhou, Z. Liu, Z. Suo, and A.-Q. Liu, ACS Nano 7, 1676 (2013).
[CrossRef]

Hui, P. C.

Iarko, E. O.

V. V. Khardikov, E. O. Iarko, and S. L. Prosvirnin, J. Opt. 14, 035103 (2012).
[CrossRef]

Ippen, E. P.

P. T. Rakich, M. A. Popovic, M. Soljacic, and E. P. Ippen, Nat. Photonics 1, 658 (2007).
[CrossRef]

Iwase, E.

Johnson, S. G.

Juan, M. L.

M. L. Juan, M. Righini, and R. Quidant, Nat. Photonics 5, 349 (2011).
[CrossRef]

Kelp, G.

C. Wu, N. Arju, G. Kelp, J. A. Fan, J. Dominguez, E. Gonzales, E. Tutuc, I. Brener, and G. Shvets, “Silicon-based infrared metamaterials with ultra-sharp Fano resonances,” arXiv:1309.6616 (2013).

Khardikov, V. V.

V. V. Khardikov, E. O. Iarko, and S. L. Prosvirnin, J. Opt. 14, 035103 (2012).
[CrossRef]

Kippenberg, T. J.

T. J. Kippenberg and K. J. Vahala, Science 321, 1172 (2008).
[CrossRef]

Kivshar, Y.

M. Lapine, I. Shadrivov, D. A. Powell, and Y. Kivshar, Nat. Mater. 11, 30 (2012).
[CrossRef]

Koschny, T.

Lapine, M.

M. Lapine, I. Shadrivov, D. A. Powell, and Y. Kivshar, Nat. Mater. 11, 30 (2012).
[CrossRef]

Li, M.

M. Li, W. H. P. Pernice, and H. X. Tang, Nat. Photonics 3, 464 (2009).
[CrossRef]

Lin, Z. F.

H. Liu, J. Ng, S. B. Wang, Z. F. Lin, Z. H. Hang, C. T. Chan, and S. N. Zhu, Phys. Rev. Lett. 106, 087401 (2011).
[CrossRef]

Lippens, D.

Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, Mater. Today 12(12), 60 (2009).
[CrossRef]

Liu, A. Q.

A. Q. Liu, W. M. Zhu, D. P. Tsai, and N. I. Zheludev, J. Opt. 14, 114009 (2012).
[CrossRef]

Liu, A.-Q.

M. Ren, J. Huang, H. Cai, J. M. Tsai, J. Zhou, Z. Liu, Z. Suo, and A.-Q. Liu, ACS Nano 7, 1676 (2013).
[CrossRef]

Liu, F.

Liu, H.

Q. Zhang, J. J. Xiao, X. M. Zhang, Y. Yao, and H. Liu, Opt. Express 21, 6601 (2013).
[CrossRef]

H. Liu, J. Ng, S. B. Wang, Z. F. Lin, Z. H. Hang, C. T. Chan, and S. N. Zhu, Phys. Rev. Lett. 106, 087401 (2011).
[CrossRef]

S. B. Wang, J. Ng, H. Liu, H. H. Zheng, Z. H. Hang, and C. T. Chan, Phys. Rev. B 84, 075114 (2011).
[CrossRef]

Liu, M.

M. Liu, T. Zentgraf, Y. Liu, G. Bartal, and X. Zhang, Nat. Nanotechnol. 5, 570 (2010).
[CrossRef]

Liu, V.

Liu, Y.

X. Yang, Y. Liu, R. F. Oulton, X. Yin, and X. Zhang, Nano Lett. 11, 321 (2011).
[CrossRef]

M. Liu, T. Zentgraf, Y. Liu, G. Bartal, and X. Zhang, Nat. Nanotechnol. 5, 570 (2010).
[CrossRef]

Liu, Z.

M. Ren, J. Huang, H. Cai, J. M. Tsai, J. Zhou, Z. Liu, Z. Suo, and A.-Q. Liu, ACS Nano 7, 1676 (2013).
[CrossRef]

Loncar, M.

Luk’yanchuk, B. S.

B. S. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, Nat. Mater. 9, 707 (2010).
[CrossRef]

MacDonald, K. F.

J. Zhang, K. F. MacDonald, and N. I. Zheludev, Light Sci. Appl. 2, e96 (2013).
[CrossRef]

J. Zhang, K. F. MacDonald, and N. I. Zheludev, Opt. Express 21, 26721 (2013).
[CrossRef]

J. Zhang, K. F. MacDonald, and N. I. Zheludev, Phys. Rev. B 85, 205123 (2012).
[CrossRef]

Maier, S. A.

B. S. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, Nat. Mater. 9, 707 (2010).
[CrossRef]

McCauley, A. P.

Meseguer, F.

Ng, J.

H. Liu, J. Ng, S. B. Wang, Z. F. Lin, Z. H. Hang, C. T. Chan, and S. N. Zhu, Phys. Rev. Lett. 106, 087401 (2011).
[CrossRef]

S. B. Wang, J. Ng, H. Liu, H. H. Zheng, Z. H. Hang, and C. T. Chan, Phys. Rev. B 84, 075114 (2011).
[CrossRef]

Nordlander, P.

B. S. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, Nat. Mater. 9, 707 (2010).
[CrossRef]

Ou, J.-Y.

J.-Y. Ou, E. Plum, J. Zhang, and N. I. Zheludev, Nat. Nanotechnol. 8, 252 (2013).
[CrossRef]

Oulton, R. F.

X. Yang, Y. Liu, R. F. Oulton, X. Yin, and X. Zhang, Nano Lett. 11, 321 (2011).
[CrossRef]

Padgett, M.

M. Padgett and R. Bowman, Nat. Photonics 5, 343 (2011).
[CrossRef]

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1985).

Papasimakis, N.

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Pendry, J. B.

M. I. Antonoyiannakis and J. B. Pendry, Phys. Rev. B 60, 2363 (1999).
[CrossRef]

Pernice, W. H. P.

M. Li, W. H. P. Pernice, and H. X. Tang, Nat. Photonics 3, 464 (2009).
[CrossRef]

Plum, E.

J.-Y. Ou, E. Plum, J. Zhang, and N. I. Zheludev, Nat. Nanotechnol. 8, 252 (2013).
[CrossRef]

Popovic, M. A.

P. T. Rakich, M. A. Popovic, M. Soljacic, and E. P. Ippen, Nat. Photonics 1, 658 (2007).
[CrossRef]

Povinelli, M.

Powell, D. A.

M. Lapine, I. Shadrivov, D. A. Powell, and Y. Kivshar, Nat. Mater. 11, 30 (2012).
[CrossRef]

Prosvirnin, S. L.

V. V. Khardikov, E. O. Iarko, and S. L. Prosvirnin, J. Opt. 14, 035103 (2012).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Quidant, R.

M. L. Juan, M. Righini, and R. Quidant, Nat. Photonics 5, 349 (2011).
[CrossRef]

Rakich, P. T.

P. T. Rakich, M. A. Popovic, M. Soljacic, and E. P. Ippen, Nat. Photonics 1, 658 (2007).
[CrossRef]

Ren, M.

M. Ren, J. Huang, H. Cai, J. M. Tsai, J. Zhou, Z. Liu, Z. Suo, and A.-Q. Liu, ACS Nano 7, 1676 (2013).
[CrossRef]

Righini, M.

M. L. Juan, M. Righini, and R. Quidant, Nat. Photonics 5, 349 (2011).
[CrossRef]

Rodriguez, A. W.

Roels, J.

D. Van Thourhout and J. Roels, Nat. Photonics 4, 211 (2010).
[CrossRef]

Rose, M.

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Shadrivov, I.

M. Lapine, I. Shadrivov, D. A. Powell, and Y. Kivshar, Nat. Mater. 11, 30 (2012).
[CrossRef]

Shi, L.

Shvets, G.

C. Wu, N. Arju, G. Kelp, J. A. Fan, J. Dominguez, E. Gonzales, E. Tutuc, I. Brener, and G. Shvets, “Silicon-based infrared metamaterials with ultra-sharp Fano resonances,” arXiv:1309.6616 (2013).

Soljacic, M.

P. T. Rakich, M. A. Popovic, M. Soljacic, and E. P. Ippen, Nat. Photonics 1, 658 (2007).
[CrossRef]

Soukoulis, C. M.

V. Ginis, P. Tassin, C. M. Soukoulis, and I. Veretennicoff, Phys. Rev. Lett. 110, 057401 (2013).
[CrossRef]

R. Zhao, P. Tassin, T. Koschny, and C. M. Soukoulis, Opt. Express 18, 25665 (2010).
[CrossRef]

Suo, Z.

M. Ren, J. Huang, H. Cai, J. M. Tsai, J. Zhou, Z. Liu, Z. Suo, and A.-Q. Liu, ACS Nano 7, 1676 (2013).
[CrossRef]

Tang, C.

Tang, H. X.

M. Li, W. H. P. Pernice, and H. X. Tang, Nat. Photonics 3, 464 (2009).
[CrossRef]

Tassin, P.

V. Ginis, P. Tassin, C. M. Soukoulis, and I. Veretennicoff, Phys. Rev. Lett. 110, 057401 (2013).
[CrossRef]

R. Zhao, P. Tassin, T. Koschny, and C. M. Soukoulis, Opt. Express 18, 25665 (2010).
[CrossRef]

Tsai, D. P.

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M. Ren, J. Huang, H. Cai, J. M. Tsai, J. Zhou, Z. Liu, Z. Suo, and A.-Q. Liu, ACS Nano 7, 1676 (2013).
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Light Sci. Appl. (1)

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Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, Mater. Today 12(12), 60 (2009).
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M. Lapine, I. Shadrivov, D. A. Powell, and Y. Kivshar, Nat. Mater. 11, 30 (2012).
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Nat. Nanotechnol. (2)

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H. Liu, J. Ng, S. B. Wang, Z. F. Lin, Z. H. Hang, C. T. Chan, and S. N. Zhu, Phys. Rev. Lett. 106, 087401 (2011).
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Figures (3)

Fig. 1.
Fig. 1.

All-dielectric nanorod metamaterial. (a) Dimensional schematic and plan views of a metamaterial unit cell comprising a pair of asymmetric silicon nanorods with identical yz cross-sectional dimensions but different lengths. (b) Numerically simulated transmission spectrum of said metamaterial for normally incident x-polarized light. The insets show detail of the transmission spectrum around the resonance wavelength and the x-direction electric field distribution at resonance (λ=1514nm) in the xy plane bisecting the nanorods.

Fig. 2.
Fig. 2.

Optical forces in a dielectric (silicon) metamaterial. Spectral dispersion of (a) in-plane (y-direction) and (b) out-of-plane (z-direction) optical forces on the constituent nanorods of the dielectric metamaterial. Optical force is presented in units of P/c, where P is the incident power per unit cell and c is the speed of light in vacuum. The insets show detail of the transmission spectrum around the resonance wavelength and schematically illustrate the direction of forces acting at resonance.

Fig. 3.
Fig. 3.

Optical forces in a plasmonic (gold) metamaterial. (a) Dimensional plan view of a metamaterial unit cell comprising a pair of asymmetric gold nanorods with identical yz cross-sectional dimensions but different lengths (z dimension 100 nm). (b) Numerically simulated reflection, transmission, and absorption spectra of said plasmonic metamaterial for normally incident x-polarized light. Spectral dispersion of (c) in-plane (y-direction) and (d) out-of-plane (z-direction) optical forces on the constituent nanorods of the plasmonic metamaterial.

Equations (2)

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

Fi=STijnjdS,
Tij=12Re[εε0(EiEj*12δij|E|2)+μμ0(HiHj*12δij|H|2)].

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