Abstract

We demonstrate that nonlinear dielectric nanorod chains enhance the second-harmonic generation by taking advantage of sub-wavelength light confinement. We report a conversion efficiency higher than 10% for only 200W input pump peak power in a 20 nanorod chain possessing a nonlinear susceptibility χ (2) = 10 pm/V. This giant frequency conversion is shown to originate from a lateral squeezing of the fundamental guided mode and from the combination of slow light at both frequencies ω and 2ω. These results open an interesting route for the design of highly integrated efficient nonlinear devices.

© 2010 Optical Society of America

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  1. J. Torres, M. d’Yerville, D. Coquillat, E. Centeno, and J. Albert, “Ultraviolet surface-emitted second-harmonic generation in GaN one-dimensional photonic crystal slabs,” Phys. Rev. B 71, 195326 (2005).
    [CrossRef]
  2. F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, “Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes,” Phys. Rev. B 70, 245109 (2004).
    [CrossRef]
  3. M. Scalora, M. Bloemer, A. Manka, J. Dowling, C. Bowden, R. Viswanathan, and J. Haus, “Pulsed second harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
    [CrossRef]
  4. Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Meriadec, and A. Levenson, “Phase-matched frequency doubling at photonic band edges: Efficiency scaling as the fifth power of the length,” Phys. Rev. Lett. 89, 043901 (2002).
    [CrossRef] [PubMed]
  5. J. Du, S. Liu, Z. Lin, J. Zi, and S. T. Chui, “Guiding electromagnetic energy below the diffraction limit with dielectric particle arrays,” Phys. Rev. A 79, 051801 (2009).
    [CrossRef]
  6. E. Centeno, D. Felbacq, and D. Cassagne, “All-angle phase matching condition and backward second-harmonic localization in nonlinear photonic crystals,” Phys. Rev. Lett. 98, 263903 (2007).
    [CrossRef] [PubMed]
  7. M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
    [CrossRef] [PubMed]
  8. R. Yan, D. Gargas, and P. Yang, “Nanowire photonics,” Nat. Photonics 3, 569–576 (2009).
    [CrossRef]
  9. E. Centeno, and D. Felbacq, “Characterization of defect modes in finite bidimensional photonic crystals,” J. Opt. Soc. Am. A 16, 2705–2712 (1999).
    [CrossRef]
  10. M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. Bloemer, C. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
    [CrossRef]
  11. M. Scalora, and M. Crenshaw, “A beam-propagation method that handles reflections,” Opt. Commun. 108, 191–196 (1994).
    [CrossRef]
  12. Y. Dumeige, F. Raineri, A. Levenson, and X. Letartre, “Second-harmonic generation in one-dimensional photonic edge waveguides,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 68, 066617 (2003).
    [CrossRef]
  13. G. S. Blaustein, M. I. Gozman, O. Samoylova, I. Y. Polishchuk, and A. L. Burin, “Guiding optical modes in chains of dielectric particles,” Opt. Express 15, 17,380–17,391 (2007).
    [CrossRef]

2010 (1)

M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
[CrossRef] [PubMed]

2009 (2)

R. Yan, D. Gargas, and P. Yang, “Nanowire photonics,” Nat. Photonics 3, 569–576 (2009).
[CrossRef]

J. Du, S. Liu, Z. Lin, J. Zi, and S. T. Chui, “Guiding electromagnetic energy below the diffraction limit with dielectric particle arrays,” Phys. Rev. A 79, 051801 (2009).
[CrossRef]

2007 (2)

E. Centeno, D. Felbacq, and D. Cassagne, “All-angle phase matching condition and backward second-harmonic localization in nonlinear photonic crystals,” Phys. Rev. Lett. 98, 263903 (2007).
[CrossRef] [PubMed]

G. S. Blaustein, M. I. Gozman, O. Samoylova, I. Y. Polishchuk, and A. L. Burin, “Guiding optical modes in chains of dielectric particles,” Opt. Express 15, 17,380–17,391 (2007).
[CrossRef]

2005 (1)

J. Torres, M. d’Yerville, D. Coquillat, E. Centeno, and J. Albert, “Ultraviolet surface-emitted second-harmonic generation in GaN one-dimensional photonic crystal slabs,” Phys. Rev. B 71, 195326 (2005).
[CrossRef]

2004 (1)

F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, “Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes,” Phys. Rev. B 70, 245109 (2004).
[CrossRef]

2003 (1)

Y. Dumeige, F. Raineri, A. Levenson, and X. Letartre, “Second-harmonic generation in one-dimensional photonic edge waveguides,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 68, 066617 (2003).
[CrossRef]

2002 (1)

Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Meriadec, and A. Levenson, “Phase-matched frequency doubling at photonic band edges: Efficiency scaling as the fifth power of the length,” Phys. Rev. Lett. 89, 043901 (2002).
[CrossRef] [PubMed]

1999 (2)

E. Centeno, and D. Felbacq, “Characterization of defect modes in finite bidimensional photonic crystals,” J. Opt. Soc. Am. A 16, 2705–2712 (1999).
[CrossRef]

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. Bloemer, C. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

1997 (1)

M. Scalora, M. Bloemer, A. Manka, J. Dowling, C. Bowden, R. Viswanathan, and J. Haus, “Pulsed second harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

1994 (1)

M. Scalora, and M. Crenshaw, “A beam-propagation method that handles reflections,” Opt. Commun. 108, 191–196 (1994).
[CrossRef]

Abram, I.

Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Meriadec, and A. Levenson, “Phase-matched frequency doubling at photonic band edges: Efficiency scaling as the fifth power of the length,” Phys. Rev. Lett. 89, 043901 (2002).
[CrossRef] [PubMed]

Albert, J.

J. Torres, M. d’Yerville, D. Coquillat, E. Centeno, and J. Albert, “Ultraviolet surface-emitted second-harmonic generation in GaN one-dimensional photonic crystal slabs,” Phys. Rev. B 71, 195326 (2005).
[CrossRef]

André, Y.

M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
[CrossRef] [PubMed]

Bertolotti, M.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. Bloemer, C. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

Bideux, L.

M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
[CrossRef] [PubMed]

Blaustein, G. S.

G. S. Blaustein, M. I. Gozman, O. Samoylova, I. Y. Polishchuk, and A. L. Burin, “Guiding optical modes in chains of dielectric particles,” Opt. Express 15, 17,380–17,391 (2007).
[CrossRef]

Bloemer, M.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. Bloemer, C. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

M. Scalora, M. Bloemer, A. Manka, J. Dowling, C. Bowden, R. Viswanathan, and J. Haus, “Pulsed second harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Bowden, C.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. Bloemer, C. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

M. Scalora, M. Bloemer, A. Manka, J. Dowling, C. Bowden, R. Viswanathan, and J. Haus, “Pulsed second harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Burin, A. L.

G. S. Blaustein, M. I. Gozman, O. Samoylova, I. Y. Polishchuk, and A. L. Burin, “Guiding optical modes in chains of dielectric particles,” Opt. Express 15, 17,380–17,391 (2007).
[CrossRef]

Cassagne, D.

E. Centeno, D. Felbacq, and D. Cassagne, “All-angle phase matching condition and backward second-harmonic localization in nonlinear photonic crystals,” Phys. Rev. Lett. 98, 263903 (2007).
[CrossRef] [PubMed]

Castelluci, D.

M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
[CrossRef] [PubMed]

Centeno, E.

E. Centeno, D. Felbacq, and D. Cassagne, “All-angle phase matching condition and backward second-harmonic localization in nonlinear photonic crystals,” Phys. Rev. Lett. 98, 263903 (2007).
[CrossRef] [PubMed]

J. Torres, M. d’Yerville, D. Coquillat, E. Centeno, and J. Albert, “Ultraviolet surface-emitted second-harmonic generation in GaN one-dimensional photonic crystal slabs,” Phys. Rev. B 71, 195326 (2005).
[CrossRef]

E. Centeno, and D. Felbacq, “Characterization of defect modes in finite bidimensional photonic crystals,” J. Opt. Soc. Am. A 16, 2705–2712 (1999).
[CrossRef]

Centini, M.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. Bloemer, C. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

Cheng, C.

F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, “Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes,” Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Chui, S. T.

J. Du, S. Liu, Z. Lin, J. Zi, and S. T. Chui, “Guiding electromagnetic energy below the diffraction limit with dielectric particle arrays,” Phys. Rev. A 79, 051801 (2009).
[CrossRef]

Coquillat, D.

J. Torres, M. d’Yerville, D. Coquillat, E. Centeno, and J. Albert, “Ultraviolet surface-emitted second-harmonic generation in GaN one-dimensional photonic crystal slabs,” Phys. Rev. B 71, 195326 (2005).
[CrossRef]

Crenshaw, M.

M. Scalora, and M. Crenshaw, “A beam-propagation method that handles reflections,” Opt. Commun. 108, 191–196 (1994).
[CrossRef]

D’Aguanno, G.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. Bloemer, C. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

d’Yerville, M.

J. Torres, M. d’Yerville, D. Coquillat, E. Centeno, and J. Albert, “Ultraviolet surface-emitted second-harmonic generation in GaN one-dimensional photonic crystal slabs,” Phys. Rev. B 71, 195326 (2005).
[CrossRef]

Dowling, J.

M. Scalora, M. Bloemer, A. Manka, J. Dowling, C. Bowden, R. Viswanathan, and J. Haus, “Pulsed second harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Du, J.

J. Du, S. Liu, Z. Lin, J. Zi, and S. T. Chui, “Guiding electromagnetic energy below the diffraction limit with dielectric particle arrays,” Phys. Rev. A 79, 051801 (2009).
[CrossRef]

Dumeige, Y.

Y. Dumeige, F. Raineri, A. Levenson, and X. Letartre, “Second-harmonic generation in one-dimensional photonic edge waveguides,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 68, 066617 (2003).
[CrossRef]

Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Meriadec, and A. Levenson, “Phase-matched frequency doubling at photonic band edges: Efficiency scaling as the fifth power of the length,” Phys. Rev. Lett. 89, 043901 (2002).
[CrossRef] [PubMed]

Felbacq, D.

E. Centeno, D. Felbacq, and D. Cassagne, “All-angle phase matching condition and backward second-harmonic localization in nonlinear photonic crystals,” Phys. Rev. Lett. 98, 263903 (2007).
[CrossRef] [PubMed]

E. Centeno, and D. Felbacq, “Characterization of defect modes in finite bidimensional photonic crystals,” J. Opt. Soc. Am. A 16, 2705–2712 (1999).
[CrossRef]

Gargas, D.

R. Yan, D. Gargas, and P. Yang, “Nanowire photonics,” Nat. Photonics 3, 569–576 (2009).
[CrossRef]

Gil, E.

M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
[CrossRef] [PubMed]

Gozman, M. I.

G. S. Blaustein, M. I. Gozman, O. Samoylova, I. Y. Polishchuk, and A. L. Burin, “Guiding optical modes in chains of dielectric particles,” Opt. Express 15, 17,380–17,391 (2007).
[CrossRef]

Haus, J.

M. Scalora, M. Bloemer, A. Manka, J. Dowling, C. Bowden, R. Viswanathan, and J. Haus, “Pulsed second harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Hirao, K.

F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, “Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes,” Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Kupka, R.

M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
[CrossRef] [PubMed]

Leroux, C.

M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
[CrossRef] [PubMed]

Letartre, X.

Y. Dumeige, F. Raineri, A. Levenson, and X. Letartre, “Second-harmonic generation in one-dimensional photonic edge waveguides,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 68, 066617 (2003).
[CrossRef]

Levenson, A.

Y. Dumeige, F. Raineri, A. Levenson, and X. Letartre, “Second-harmonic generation in one-dimensional photonic edge waveguides,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 68, 066617 (2003).
[CrossRef]

Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Meriadec, and A. Levenson, “Phase-matched frequency doubling at photonic band edges: Efficiency scaling as the fifth power of the length,” Phys. Rev. Lett. 89, 043901 (2002).
[CrossRef] [PubMed]

Li, R.

F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, “Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes,” Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Lin, Z.

J. Du, S. Liu, Z. Lin, J. Zi, and S. T. Chui, “Guiding electromagnetic energy below the diffraction limit with dielectric particle arrays,” Phys. Rev. A 79, 051801 (2009).
[CrossRef]

Liu, S.

J. Du, S. Liu, Z. Lin, J. Zi, and S. T. Chui, “Guiding electromagnetic energy below the diffraction limit with dielectric particle arrays,” Phys. Rev. A 79, 051801 (2009).
[CrossRef]

Manka, A.

M. Scalora, M. Bloemer, A. Manka, J. Dowling, C. Bowden, R. Viswanathan, and J. Haus, “Pulsed second harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Meriadec, C.

Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Meriadec, and A. Levenson, “Phase-matched frequency doubling at photonic band edges: Efficiency scaling as the fifth power of the length,” Phys. Rev. Lett. 89, 043901 (2002).
[CrossRef] [PubMed]

Monier, G.

M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
[CrossRef] [PubMed]

Monnier, P.

Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Meriadec, and A. Levenson, “Phase-matched frequency doubling at photonic band edges: Efficiency scaling as the fifth power of the length,” Phys. Rev. Lett. 89, 043901 (2002).
[CrossRef] [PubMed]

Nefedov, I.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. Bloemer, C. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

Polishchuk, I. Y.

G. S. Blaustein, M. I. Gozman, O. Samoylova, I. Y. Polishchuk, and A. L. Burin, “Guiding optical modes in chains of dielectric particles,” Opt. Express 15, 17,380–17,391 (2007).
[CrossRef]

Qiu, J.

F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, “Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes,” Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Raineri, F.

Y. Dumeige, F. Raineri, A. Levenson, and X. Letartre, “Second-harmonic generation in one-dimensional photonic edge waveguides,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 68, 066617 (2003).
[CrossRef]

Ramdani, M. R.

M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
[CrossRef] [PubMed]

Ren, F.

F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, “Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes,” Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Robert-Goumet, C.

M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
[CrossRef] [PubMed]

Sagnes, I.

Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Meriadec, and A. Levenson, “Phase-matched frequency doubling at photonic band edges: Efficiency scaling as the fifth power of the length,” Phys. Rev. Lett. 89, 043901 (2002).
[CrossRef] [PubMed]

Samoylova, O.

G. S. Blaustein, M. I. Gozman, O. Samoylova, I. Y. Polishchuk, and A. L. Burin, “Guiding optical modes in chains of dielectric particles,” Opt. Express 15, 17,380–17,391 (2007).
[CrossRef]

Scalora, M.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. Bloemer, C. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

M. Scalora, M. Bloemer, A. Manka, J. Dowling, C. Bowden, R. Viswanathan, and J. Haus, “Pulsed second harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

M. Scalora, and M. Crenshaw, “A beam-propagation method that handles reflections,” Opt. Commun. 108, 191–196 (1994).
[CrossRef]

Si, J.

F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, “Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes,” Phys. Rev. B 70, 245109 (2004).
[CrossRef]

Sibilia, C.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. Bloemer, C. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

Torres, J.

J. Torres, M. d’Yerville, D. Coquillat, E. Centeno, and J. Albert, “Ultraviolet surface-emitted second-harmonic generation in GaN one-dimensional photonic crystal slabs,” Phys. Rev. B 71, 195326 (2005).
[CrossRef]

Trassoudaine, A.

M. R. Ramdani, E. Gil, C. Leroux, Y. André, A. Trassoudaine, D. Castelluci, L. Bideux, G. Monier, C. Robert-Goumet, and R. Kupka, “Fast growth synthesis of GaAs nanowires with exceptional length,” Nano Lett. 10, 1836–1841 (2010).
[CrossRef] [PubMed]

Vidakovic, P.

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[CrossRef] [PubMed]

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Figures (3)

Fig. 1.
Fig. 1.

First and second dispersion bands for an infinitely long chain of dielectric nanorods. In the insets the Bloch modes (Ez component) associated with k = π/a and k = 0 for the first and second band respectively.

Fig. 2.
Fig. 2.

(a) Transmission resonances around the FF and SH frequencies for a chain composed by 20 nanorod. The frequencies at the SH are scaled of a factor of 2. (b) FF and SH mode intensity distribution.

Fig. 3.
Fig. 3.

(a) SH generation efficiency in function of the pump peak intensity for a chain of N = 20 and N = 30 nanorods. Dotted curves are obtained in the framework of the undepleted pump approximation. Solide curves show the rigorous calculation obtained with COMSOL. Square points are obtained with the model of Eqs. (2a) and (2b). (b) SH generation efficiency in function of the number of rods N (theoretical curve in solid line and numerical results in triangle points). The efficiency of the nanorod chain grows as a power of p = 5.3 of N.

Equations (4)

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Δ E z ( r , ω ) + k ω 2 ε r ( r ) E z ( r , ω ) = 2 ( ω c ) 2 χ ( 2 ) ( r ) E z ( r , ω ) * E z ( r , 2 ω ) ,
Δ E z ( r , 2 ω ) + k 2 ω 2 ε r ( r ) E z ( r , 2 ω ) = 4 ( ω c ) 2 χ ( 2 ) ( r ) E z ( r , ω ) 2 ,
d dt α ω = γ ω α ω + Γ 1 α ω * α 2 ω + ς ( E 0 ) ,
d dt α 2 ω = γ 2 ω α 2 ω + Γ 2 α ω 2 .

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