Abstract

We introduce the concept of a nanoradar based on the operation of a nonlinear plasmonic nanoantenna. The nanoradar action originates from modulational instability occurring in a dimer nanoantenna consisting of two subwavelength nonlinear nanoparticles. Modulation instability causes a dynamical energy exchange between the nanoantenna eigenmodes resulting in periodic scanning of the nanoantenna scattering pattern. Such nanoradar demonstrates a wide scanning sector, low operation threshold, and ultrafast time response being potentially useful for many applications in nanophotonics circuitry.

© 2012 Optical Society of America

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  1. P. Biagioni, J. Huang, and B. Hecht, Rep. Prog. Phys. 75, 024402 (2012).
    [CrossRef]
  2. A. Devilez, B. Stout, and N. Bonod, ACS Nano 4, 3390 (2010).
    [CrossRef]
  3. A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Yu. S. Kivshar, JETP Lett. 94, 593 (2011).
    [CrossRef]
  4. N. Bonod, A. Devilez, B. Rolly, S. Bidault, and B. Stout, Phys. Rev. B 82, 115429 (2010).
    [CrossRef]
  5. T. Shegai, S. Chen, V. Miljković, G. Zengin, P. Johansson, and M. Käll, Nat. Commun. 2, 481 (2011).
    [CrossRef]
  6. P.-Y. Chen and A. Alu, Phys. Rev. B 82, 235405 (2010).
    [CrossRef]
  7. N. Large, M. Abb, J. Aizpurua, and O. L. Muskens, Nano Lett. 10, 1741 (2010).
    [CrossRef]
  8. M. Abb, P. Albella, J. Aizpurua, and O. L. Muskens, Nano Lett. 11, 2457 (2011).
    [CrossRef]
  9. I. S. Maksymov, A. E. Miroshnichenko, and Yu. S. Kivshar, Opt. Express 20, 8929 (2012).
    [CrossRef]
  10. T. Jeffrey, Phased-Array Radar Design (SciTech Publishing, 2009).
  11. I. Romero, J. Aizpurua, G. W. Bryant, and F. J. García de Abajo, Opt. Express 14, 9988 (2006).
    [CrossRef]
  12. P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
    [CrossRef]
  13. V. P. Drachev, A. K. Buin, H. Nakotte, and V. M. Shalaev, Nano Lett. 4, 1535 (2004).
    [CrossRef]
  14. M. J. Weber, Handbook of Optical Materials (CRC, 2003).
  15. R. E. Noskov, P. A. Belov, and Yu. S. Kivshar, Phys. Rev. Lett. 108, 093901 (2012).
    [CrossRef]
  16. M. I. Rabinovich and D. I. Trubetskov, Oscillations and Waves in Linear and Nonlinear Systems (Kluwer, 1989).
  17. C. Torres-Torres, N. Peréa-López, J. A. Reyes-Esqueda, L. Rodríguez-Fernández, A. Crespo-Sosa, J. C. Cheang-Wong, and A. Oliver, Int. J. Nanomedicine 5, 925 (2010).

2012

P. Biagioni, J. Huang, and B. Hecht, Rep. Prog. Phys. 75, 024402 (2012).
[CrossRef]

I. S. Maksymov, A. E. Miroshnichenko, and Yu. S. Kivshar, Opt. Express 20, 8929 (2012).
[CrossRef]

R. E. Noskov, P. A. Belov, and Yu. S. Kivshar, Phys. Rev. Lett. 108, 093901 (2012).
[CrossRef]

2011

M. Abb, P. Albella, J. Aizpurua, and O. L. Muskens, Nano Lett. 11, 2457 (2011).
[CrossRef]

T. Shegai, S. Chen, V. Miljković, G. Zengin, P. Johansson, and M. Käll, Nat. Commun. 2, 481 (2011).
[CrossRef]

A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Yu. S. Kivshar, JETP Lett. 94, 593 (2011).
[CrossRef]

2010

N. Bonod, A. Devilez, B. Rolly, S. Bidault, and B. Stout, Phys. Rev. B 82, 115429 (2010).
[CrossRef]

A. Devilez, B. Stout, and N. Bonod, ACS Nano 4, 3390 (2010).
[CrossRef]

P.-Y. Chen and A. Alu, Phys. Rev. B 82, 235405 (2010).
[CrossRef]

N. Large, M. Abb, J. Aizpurua, and O. L. Muskens, Nano Lett. 10, 1741 (2010).
[CrossRef]

C. Torres-Torres, N. Peréa-López, J. A. Reyes-Esqueda, L. Rodríguez-Fernández, A. Crespo-Sosa, J. C. Cheang-Wong, and A. Oliver, Int. J. Nanomedicine 5, 925 (2010).

2006

2004

V. P. Drachev, A. K. Buin, H. Nakotte, and V. M. Shalaev, Nano Lett. 4, 1535 (2004).
[CrossRef]

1972

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Abb, M.

M. Abb, P. Albella, J. Aizpurua, and O. L. Muskens, Nano Lett. 11, 2457 (2011).
[CrossRef]

N. Large, M. Abb, J. Aizpurua, and O. L. Muskens, Nano Lett. 10, 1741 (2010).
[CrossRef]

Aizpurua, J.

M. Abb, P. Albella, J. Aizpurua, and O. L. Muskens, Nano Lett. 11, 2457 (2011).
[CrossRef]

N. Large, M. Abb, J. Aizpurua, and O. L. Muskens, Nano Lett. 10, 1741 (2010).
[CrossRef]

I. Romero, J. Aizpurua, G. W. Bryant, and F. J. García de Abajo, Opt. Express 14, 9988 (2006).
[CrossRef]

Albella, P.

M. Abb, P. Albella, J. Aizpurua, and O. L. Muskens, Nano Lett. 11, 2457 (2011).
[CrossRef]

Alu, A.

P.-Y. Chen and A. Alu, Phys. Rev. B 82, 235405 (2010).
[CrossRef]

Belov, P. A.

R. E. Noskov, P. A. Belov, and Yu. S. Kivshar, Phys. Rev. Lett. 108, 093901 (2012).
[CrossRef]

A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Yu. S. Kivshar, JETP Lett. 94, 593 (2011).
[CrossRef]

Biagioni, P.

P. Biagioni, J. Huang, and B. Hecht, Rep. Prog. Phys. 75, 024402 (2012).
[CrossRef]

Bidault, S.

N. Bonod, A. Devilez, B. Rolly, S. Bidault, and B. Stout, Phys. Rev. B 82, 115429 (2010).
[CrossRef]

Bonod, N.

N. Bonod, A. Devilez, B. Rolly, S. Bidault, and B. Stout, Phys. Rev. B 82, 115429 (2010).
[CrossRef]

A. Devilez, B. Stout, and N. Bonod, ACS Nano 4, 3390 (2010).
[CrossRef]

Bryant, G. W.

Buin, A. K.

V. P. Drachev, A. K. Buin, H. Nakotte, and V. M. Shalaev, Nano Lett. 4, 1535 (2004).
[CrossRef]

Cheang-Wong, J. C.

C. Torres-Torres, N. Peréa-López, J. A. Reyes-Esqueda, L. Rodríguez-Fernández, A. Crespo-Sosa, J. C. Cheang-Wong, and A. Oliver, Int. J. Nanomedicine 5, 925 (2010).

Chen, P.-Y.

P.-Y. Chen and A. Alu, Phys. Rev. B 82, 235405 (2010).
[CrossRef]

Chen, S.

T. Shegai, S. Chen, V. Miljković, G. Zengin, P. Johansson, and M. Käll, Nat. Commun. 2, 481 (2011).
[CrossRef]

Christy, R. W.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Crespo-Sosa, A.

C. Torres-Torres, N. Peréa-López, J. A. Reyes-Esqueda, L. Rodríguez-Fernández, A. Crespo-Sosa, J. C. Cheang-Wong, and A. Oliver, Int. J. Nanomedicine 5, 925 (2010).

de Abajo, F. J. García

Devilez, A.

N. Bonod, A. Devilez, B. Rolly, S. Bidault, and B. Stout, Phys. Rev. B 82, 115429 (2010).
[CrossRef]

A. Devilez, B. Stout, and N. Bonod, ACS Nano 4, 3390 (2010).
[CrossRef]

Drachev, V. P.

V. P. Drachev, A. K. Buin, H. Nakotte, and V. M. Shalaev, Nano Lett. 4, 1535 (2004).
[CrossRef]

Hecht, B.

P. Biagioni, J. Huang, and B. Hecht, Rep. Prog. Phys. 75, 024402 (2012).
[CrossRef]

Huang, J.

P. Biagioni, J. Huang, and B. Hecht, Rep. Prog. Phys. 75, 024402 (2012).
[CrossRef]

Jeffrey, T.

T. Jeffrey, Phased-Array Radar Design (SciTech Publishing, 2009).

Johansson, P.

T. Shegai, S. Chen, V. Miljković, G. Zengin, P. Johansson, and M. Käll, Nat. Commun. 2, 481 (2011).
[CrossRef]

Johnson, P. B.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Käll, M.

T. Shegai, S. Chen, V. Miljković, G. Zengin, P. Johansson, and M. Käll, Nat. Commun. 2, 481 (2011).
[CrossRef]

Kivshar, Yu. S.

I. S. Maksymov, A. E. Miroshnichenko, and Yu. S. Kivshar, Opt. Express 20, 8929 (2012).
[CrossRef]

R. E. Noskov, P. A. Belov, and Yu. S. Kivshar, Phys. Rev. Lett. 108, 093901 (2012).
[CrossRef]

A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Yu. S. Kivshar, JETP Lett. 94, 593 (2011).
[CrossRef]

Krasnok, A. E.

A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Yu. S. Kivshar, JETP Lett. 94, 593 (2011).
[CrossRef]

Large, N.

N. Large, M. Abb, J. Aizpurua, and O. L. Muskens, Nano Lett. 10, 1741 (2010).
[CrossRef]

Maksymov, I. S.

Miljkovic, V.

T. Shegai, S. Chen, V. Miljković, G. Zengin, P. Johansson, and M. Käll, Nat. Commun. 2, 481 (2011).
[CrossRef]

Miroshnichenko, A. E.

I. S. Maksymov, A. E. Miroshnichenko, and Yu. S. Kivshar, Opt. Express 20, 8929 (2012).
[CrossRef]

A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Yu. S. Kivshar, JETP Lett. 94, 593 (2011).
[CrossRef]

Muskens, O. L.

M. Abb, P. Albella, J. Aizpurua, and O. L. Muskens, Nano Lett. 11, 2457 (2011).
[CrossRef]

N. Large, M. Abb, J. Aizpurua, and O. L. Muskens, Nano Lett. 10, 1741 (2010).
[CrossRef]

Nakotte, H.

V. P. Drachev, A. K. Buin, H. Nakotte, and V. M. Shalaev, Nano Lett. 4, 1535 (2004).
[CrossRef]

Noskov, R. E.

R. E. Noskov, P. A. Belov, and Yu. S. Kivshar, Phys. Rev. Lett. 108, 093901 (2012).
[CrossRef]

Oliver, A.

C. Torres-Torres, N. Peréa-López, J. A. Reyes-Esqueda, L. Rodríguez-Fernández, A. Crespo-Sosa, J. C. Cheang-Wong, and A. Oliver, Int. J. Nanomedicine 5, 925 (2010).

Peréa-López, N.

C. Torres-Torres, N. Peréa-López, J. A. Reyes-Esqueda, L. Rodríguez-Fernández, A. Crespo-Sosa, J. C. Cheang-Wong, and A. Oliver, Int. J. Nanomedicine 5, 925 (2010).

Rabinovich, M. I.

M. I. Rabinovich and D. I. Trubetskov, Oscillations and Waves in Linear and Nonlinear Systems (Kluwer, 1989).

Reyes-Esqueda, J. A.

C. Torres-Torres, N. Peréa-López, J. A. Reyes-Esqueda, L. Rodríguez-Fernández, A. Crespo-Sosa, J. C. Cheang-Wong, and A. Oliver, Int. J. Nanomedicine 5, 925 (2010).

Rodríguez-Fernández, L.

C. Torres-Torres, N. Peréa-López, J. A. Reyes-Esqueda, L. Rodríguez-Fernández, A. Crespo-Sosa, J. C. Cheang-Wong, and A. Oliver, Int. J. Nanomedicine 5, 925 (2010).

Rolly, B.

N. Bonod, A. Devilez, B. Rolly, S. Bidault, and B. Stout, Phys. Rev. B 82, 115429 (2010).
[CrossRef]

Romero, I.

Shalaev, V. M.

V. P. Drachev, A. K. Buin, H. Nakotte, and V. M. Shalaev, Nano Lett. 4, 1535 (2004).
[CrossRef]

Shegai, T.

T. Shegai, S. Chen, V. Miljković, G. Zengin, P. Johansson, and M. Käll, Nat. Commun. 2, 481 (2011).
[CrossRef]

Stout, B.

N. Bonod, A. Devilez, B. Rolly, S. Bidault, and B. Stout, Phys. Rev. B 82, 115429 (2010).
[CrossRef]

A. Devilez, B. Stout, and N. Bonod, ACS Nano 4, 3390 (2010).
[CrossRef]

Torres-Torres, C.

C. Torres-Torres, N. Peréa-López, J. A. Reyes-Esqueda, L. Rodríguez-Fernández, A. Crespo-Sosa, J. C. Cheang-Wong, and A. Oliver, Int. J. Nanomedicine 5, 925 (2010).

Trubetskov, D. I.

M. I. Rabinovich and D. I. Trubetskov, Oscillations and Waves in Linear and Nonlinear Systems (Kluwer, 1989).

Weber, M. J.

M. J. Weber, Handbook of Optical Materials (CRC, 2003).

Zengin, G.

T. Shegai, S. Chen, V. Miljković, G. Zengin, P. Johansson, and M. Käll, Nat. Commun. 2, 481 (2011).
[CrossRef]

ACS Nano

A. Devilez, B. Stout, and N. Bonod, ACS Nano 4, 3390 (2010).
[CrossRef]

Int. J. Nanomedicine

C. Torres-Torres, N. Peréa-López, J. A. Reyes-Esqueda, L. Rodríguez-Fernández, A. Crespo-Sosa, J. C. Cheang-Wong, and A. Oliver, Int. J. Nanomedicine 5, 925 (2010).

JETP Lett.

A. E. Krasnok, A. E. Miroshnichenko, P. A. Belov, and Yu. S. Kivshar, JETP Lett. 94, 593 (2011).
[CrossRef]

Nano Lett.

N. Large, M. Abb, J. Aizpurua, and O. L. Muskens, Nano Lett. 10, 1741 (2010).
[CrossRef]

M. Abb, P. Albella, J. Aizpurua, and O. L. Muskens, Nano Lett. 11, 2457 (2011).
[CrossRef]

V. P. Drachev, A. K. Buin, H. Nakotte, and V. M. Shalaev, Nano Lett. 4, 1535 (2004).
[CrossRef]

Nat. Commun.

T. Shegai, S. Chen, V. Miljković, G. Zengin, P. Johansson, and M. Käll, Nat. Commun. 2, 481 (2011).
[CrossRef]

Opt. Express

Phys. Rev. B

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

P.-Y. Chen and A. Alu, Phys. Rev. B 82, 235405 (2010).
[CrossRef]

N. Bonod, A. Devilez, B. Rolly, S. Bidault, and B. Stout, Phys. Rev. B 82, 115429 (2010).
[CrossRef]

Phys. Rev. Lett.

R. E. Noskov, P. A. Belov, and Yu. S. Kivshar, Phys. Rev. Lett. 108, 093901 (2012).
[CrossRef]

Rep. Prog. Phys.

P. Biagioni, J. Huang, and B. Hecht, Rep. Prog. Phys. 75, 024402 (2012).
[CrossRef]

Other

M. I. Rabinovich and D. I. Trubetskov, Oscillations and Waves in Linear and Nonlinear Systems (Kluwer, 1989).

M. J. Weber, Handbook of Optical Materials (CRC, 2003).

T. Jeffrey, Phased-Array Radar Design (SciTech Publishing, 2009).

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Figures (4)

Fig. 1.
Fig. 1.

Schematic of the scattering pattern of a dimer nanoantenna. Insert shows the structure, parameters, and direction of an incident plane wave.

Fig. 2.
Fig. 2.

Bifurcation diagram on the parameter plane of E02 and Ω=(ωω0)/ω0, with the regions of bistability and modulation instability. Inset: dependence of the polarization |P0|2 on E02 at Ω=0.1 (along the dashed vertical line on the main plot). Red dots mark the region of modulation instability.

Fig. 3.
Fig. 3.

(a) Temporal evolution of the polarizations |P1| (red) and |P2| (blue), when the external field E (black) approaches and crosses the instability threshold. Instability leads to an energy exchange between symmetric and asymmetric eigenmodes. (b) Phase trajectories associated with the dynamics shown in (a).

Fig. 4.
Fig. 4.

Temporal evolution of (a) scattering cross section and (b) oscillation angle θml corresponding to the major scattering lobe. (c)–(e) Snapshots of the scattering intensities (in watts) corresponding to maximal deviations from the initial state (red and blue) and an intermediate position (green).

Equations (4)

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

idP1dτ+(Ωiγ+|P1|2)P1+GP2=E,idP2dτ+(Ωiγ+|P2|2)P2+GP1=E,
P1,2=χ(3)p1,22(ε+2εh)εha3,
(iγ+Ω+G+|P0|2)P0=E0,
λ=ImGγ+{|P0|4(2|P0|2+ΩReG)2}1/2.

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