Abstract

We investigate the occurrence of photonic dipole oscillations (PDOs) in one-dimensional photonic crystals containing nonlinear composites. Because of the modulation of the graded pump electric fields, optical pulses undergo oscillations inside the curved band structure, analogous to the dipole oscillations in ultracold gases. The implementation of numerical simulations shows that our proposed scheme can produce stable and long-living PDOs. The physical origin is explored to give a clear physical picture. Finally, the tunability of PDOs is discussed.

© 2009 Optical Society of America

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2009 (1)

S. Longhi, Laser Photonics Rev. 3, 243 (2009).
[CrossRef]

2008 (1)

2007 (2)

S. Longhi, Phys. Rev. B 76, 195119 (2007).
[CrossRef]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

2006 (2)

A. A. Sukhorukov, I. V. Shadrivov, and Yu. S. Kivshar, Int. J. Numer. Model. 19, 105 (2006).
[CrossRef]

D. Schurig, J. B. Pendry, and D. R. Smith, Opt. Express 14, 9794 (2006).
[CrossRef] [PubMed]

2005 (1)

V. Lousse and S. Fan, Phys. Rev. B 72, 075119 (2005).
[CrossRef]

2004 (2)

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

R. Gordon, Opt. Lett. 29, 2752 (2004).
[CrossRef] [PubMed]

2003 (1)

C. Menotti, A. Smerzi, and A. Trombettoni, New J. Phys. 5, 112 (2003).
[CrossRef]

2002 (1)

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature 415, 39 (2002).
[CrossRef] [PubMed]

1998 (3)

1997 (1)

H. B. Liao, R. F. Xiao, J. S. Fu, P. Yu, G. K. L. Wong, and P. Sheng, Appl. Phys. Lett. 70, 1 (1997).
[CrossRef]

Anderson, B. P.

B. P. Anderson and M. A. Kasevich, Science 282, 1686 (1998).
[CrossRef] [PubMed]

Bartal, G.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

Bloch, I.

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature 415, 39 (2002).
[CrossRef] [PubMed]

de Mirandes, E.

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

Esslinger, T.

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature 415, 39 (2002).
[CrossRef] [PubMed]

Fan, S.

V. Lousse and S. Fan, Phys. Rev. B 72, 075119 (2005).
[CrossRef]

Ferlaino, F.

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

Fishman, S.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

Fu, J. S.

H. B. Liao, R. F. Xiao, J. S. Fu, P. Yu, G. K. L. Wong, and P. Sheng, Appl. Phys. Lett. 70, 1 (1997).
[CrossRef]

Gordon, R.

Greiner, M.

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature 415, 39 (2002).
[CrossRef] [PubMed]

Hänsch, T. W.

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature 415, 39 (2002).
[CrossRef] [PubMed]

Huang, J. P.

Inguscio, M.

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

Kasevich, M. A.

B. P. Anderson and M. A. Kasevich, Science 282, 1686 (1998).
[CrossRef] [PubMed]

Kivshar, Yu. S.

A. A. Sukhorukov, I. V. Shadrivov, and Yu. S. Kivshar, Int. J. Numer. Model. 19, 105 (2006).
[CrossRef]

Lederer, F.

Liao, H. B.

H. B. Liao, R. F. Xiao, J. S. Fu, P. Yu, G. K. L. Wong, and P. Sheng, Appl. Phys. Lett. 70, 1 (1997).
[CrossRef]

Longhi, S.

S. Longhi, Laser Photonics Rev. 3, 243 (2009).
[CrossRef]

S. Longhi, Phys. Rev. B 76, 195119 (2007).
[CrossRef]

Lousse, V.

V. Lousse and S. Fan, Phys. Rev. B 72, 075119 (2005).
[CrossRef]

Ma, H.

Mandel, O.

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature 415, 39 (2002).
[CrossRef] [PubMed]

Menotti, C.

C. Menotti, A. Smerzi, and A. Trombettoni, New J. Phys. 5, 112 (2003).
[CrossRef]

Modugno, G.

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

Ott, H.

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

Pendry, J. B.

Pertsch, T.

Peschel, U.

Pezzè, L.

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

Pitaevskii, L.

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

Roati, G.

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

Schurig, D.

Schwartz, T.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

Segev, M.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

Shadrivov, I. V.

A. A. Sukhorukov, I. V. Shadrivov, and Yu. S. Kivshar, Int. J. Numer. Model. 19, 105 (2006).
[CrossRef]

Sheng, P.

H. Ma, R. Xiao, and P. Sheng, J. Opt. Soc. Am. B 15, 1022 (1998).
[CrossRef]

H. B. Liao, R. F. Xiao, J. S. Fu, P. Yu, G. K. L. Wong, and P. Sheng, Appl. Phys. Lett. 70, 1 (1997).
[CrossRef]

Smerzi, A.

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

C. Menotti, A. Smerzi, and A. Trombettoni, New J. Phys. 5, 112 (2003).
[CrossRef]

Smith, D. R.

Stringari, S.

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

Sukhorukov, A. A.

A. A. Sukhorukov, I. V. Shadrivov, and Yu. S. Kivshar, Int. J. Numer. Model. 19, 105 (2006).
[CrossRef]

Trombettoni, A.

C. Menotti, A. Smerzi, and A. Trombettoni, New J. Phys. 5, 112 (2003).
[CrossRef]

Wang, G.

Wong, G. K. L.

H. B. Liao, R. F. Xiao, J. S. Fu, P. Yu, G. K. L. Wong, and P. Sheng, Appl. Phys. Lett. 70, 1 (1997).
[CrossRef]

Xiao, R.

Xiao, R. F.

H. B. Liao, R. F. Xiao, J. S. Fu, P. Yu, G. K. L. Wong, and P. Sheng, Appl. Phys. Lett. 70, 1 (1997).
[CrossRef]

Yu, K. W.

Yu, P.

H. B. Liao, R. F. Xiao, J. S. Fu, P. Yu, G. K. L. Wong, and P. Sheng, Appl. Phys. Lett. 70, 1 (1997).
[CrossRef]

Appl. Phys. Lett. (1)

H. B. Liao, R. F. Xiao, J. S. Fu, P. Yu, G. K. L. Wong, and P. Sheng, Appl. Phys. Lett. 70, 1 (1997).
[CrossRef]

Int. J. Numer. Model. (1)

A. A. Sukhorukov, I. V. Shadrivov, and Yu. S. Kivshar, Int. J. Numer. Model. 19, 105 (2006).
[CrossRef]

J. Opt. Soc. Am. B (1)

Laser Photonics Rev. (1)

S. Longhi, Laser Photonics Rev. 3, 243 (2009).
[CrossRef]

Nature (2)

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature 415, 39 (2002).
[CrossRef] [PubMed]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

New J. Phys. (1)

C. Menotti, A. Smerzi, and A. Trombettoni, New J. Phys. 5, 112 (2003).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Phys. Rev. B (2)

V. Lousse and S. Fan, Phys. Rev. B 72, 075119 (2005).
[CrossRef]

S. Longhi, Phys. Rev. B 76, 195119 (2007).
[CrossRef]

Phys. Rev. Lett. (1)

L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. de Mirandes, F. Ferlaino, H. Ott, G. Roati, and M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004).
[CrossRef] [PubMed]

Science (1)

B. P. Anderson and M. A. Kasevich, Science 282, 1686 (1998).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

Schematic view of a one-dimensional PC with periodically alternating layers of a Kerr dielectric (e.g., Au : Si O 2 composite as used in this work) and a linear dielectric. A probe wave is incident along the z direction, with an electric component E 1 along the x direction. The pump electric field E 0 is directed along the y axis. For plotting Figs. 2, 3, 4, we set the thickness of each layer to be 0.5 a , where a is the lattice constant.

Fig. 2
Fig. 2

Depth-dependent second photonic band structure for the gradation profile with parameters g = 13 and b = 390 . The dashed–dotted curve represents the fitting parabola ω = 6.64 × 10 4 ( 95.6 + z ) ( 35.6 + z ) . PDOs may appear in the cross section between the two dotted lines.

Fig. 3
Fig. 3

Time evolution of the wave packet with ω 0 = 2.78 c a under E 0 2 ( N ) = ( g N + b ) 2 with (a), (c) g = 13 and b = 390 and (b), (d) g = 15 and b = 390 . The DOs clearly develop in different ranges with different periods.

Fig. 4
Fig. 4

(a) Time-dependent driving force acting on an incident pulse. (b) Linear relationship between the force and the position. Parameters are again taken to be the same as those used for Fig. 3a. The time average of the force is zero within each period.

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