Abstract

We present an optical steering method in optical lattice with Kerr nonlinearity based on spatial phase modulation. By choosing proper phase modulation parameters, we can easily realize optical deflection, optical switching, and splitting of optical beams. The effect of lattice depth and lattice period on the optical steering is also discussed in detail.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
    [CrossRef]
  2. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
    [CrossRef]
  3. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton shape and mobility control in optical lattices,” Prog. Opt. 52, 63–148 (2009).
    [CrossRef]
  4. J. Yang and Z. H. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice,” Opt. Lett. 28, 2094–2096 (2003).
    [CrossRef]
  5. J. Zheng and L. Dong, “Multipeaked fundamental and vortex solitons in azimuthally modulated Bessel lattices,” J. Opt. Soc. Am. B 28, 780–786 (2011).
    [CrossRef]
  6. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole solitons in optically induced two-dimensional photonic lattices,” Opt. Lett. 29, 1662–1664 (2004).
    [CrossRef]
  7. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring ‘discrete’ solitons in 2D photonic lattices,” Phys. Rev. Lett. 92, 123904 (2004).
    [CrossRef]
  8. M. I. Rodas-Verde, H. Michinel, and Y. S. Kivshar, “Dynamics of vector solitons and vortices in two-dimensional photonic lattices,” Opt. Lett. 31, 607–609 (2006).
    [CrossRef]
  9. X. Zhu, H. Wang, T. W. Wu, and L. X. Zheng, “Defect solitons in triangular optical lattices,” J. Opt. Soc. Am. B 28, 521–527 (2011).
    [CrossRef]
  10. J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklacelike solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
    [CrossRef]
  11. O. Bang and P. D. Miller, “Exploiting discreteness for switching in waveguide arrays,” Opt. Lett. 21, 1105–1107 (1996).
  12. I. L. Garanovich, S. Longhi, A. A. Sukhorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” http://arxiv.org/abs/1107.2992v1 .
  13. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton control in chirped photonic lattices,” J. Opt. Soc. Am. B 22, 1356–1359 (2005).
    [CrossRef]
  14. Z. Dai and Q. Guo, “Spatial soliton switching in strongly nonlocal media with longitudinally increasing optical lattices,” J. Opt. Soc. Am. B 28, 134–138 (2011).
    [CrossRef]
  15. Y. V. Kartashov, L. Torner, and D. N. Christodoulides, “Soliton dragging by dynamic optical lattices,” Opt. Lett. 30, 1378–1380 (2005).
    [CrossRef]
  16. C. R. Rosberg, I. L. Garanovich, A. A. Sukhorukov, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Demonstration of all-optical beam steering in modulated photonic lattices,” Opt. Lett. 31, 1498–1500 (2006).
    [CrossRef]
  17. I. Garanovich, A. Sukhorukov, and Y. Kivshar, “Soliton control in modulated optically-induced photonic lattices,” Opt. Express 13, 5704–5710 (2005).
    [CrossRef]
  18. H. C. Huang, Y. J. He, Y. Z. Liu, and H. Z. Wang, “Dynamics and all-optical control of solitons at the interface of optical superlattices with spatially modulated nonlinearity,” Opt. Express 19, 8795–8801 (2011).
    [CrossRef]
  19. Yaroslav V. Kartashov, Victor A. Vysloukh, and Lluis Torner, “Soliton spiraling in optically induced rotating Bessel lattices,” Opt. Lett. 30, 637–639 (2005).
    [CrossRef]
  20. X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices,” Phys. Rev. Lett. 96, 083904 (2006).
    [CrossRef]
  21. Y. J. He, Boris A. Malomed, and H. Z. Wang, “Steering the motion of rotary solitons in radial lattices,” Phys. Rev. A 76, 053601 (2007).
    [CrossRef]
  22. A. T. Ryan and G. P. Agrawal, “Steering of optical beams in nonlinear Kerr media by spatial phase modulation,” Opt. Lett. 18, 1795–1797(1993).
    [CrossRef]
  23. Many manufacturers produce and sell the spatial phase-only modulator, e.g., HOLOEYE Photonics AG, and Hamamatsu Corporation, etc.

2011 (4)

2009 (1)

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton shape and mobility control in optical lattices,” Prog. Opt. 52, 63–148 (2009).
[CrossRef]

2008 (1)

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

2007 (1)

Y. J. He, Boris A. Malomed, and H. Z. Wang, “Steering the motion of rotary solitons in radial lattices,” Phys. Rev. A 76, 053601 (2007).
[CrossRef]

2006 (3)

2005 (5)

2004 (2)

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring ‘discrete’ solitons in 2D photonic lattices,” Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole solitons in optically induced two-dimensional photonic lattices,” Opt. Lett. 29, 1662–1664 (2004).
[CrossRef]

2003 (2)

J. Yang and Z. H. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice,” Opt. Lett. 28, 2094–2096 (2003).
[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[CrossRef]

1996 (1)

1993 (1)

Agrawal, G. P.

Assanto, G.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

Bang, O.

Bartal, G.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring ‘discrete’ solitons in 2D photonic lattices,” Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Bezryadina, A.

Chen, Z.

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices,” Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef]

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklacelike solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole solitons in optically induced two-dimensional photonic lattices,” Opt. Lett. 29, 1662–1664 (2004).
[CrossRef]

Christodoulides, D. N.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

Y. V. Kartashov, L. Torner, and D. N. Christodoulides, “Soliton dragging by dynamic optical lattices,” Opt. Lett. 30, 1378–1380 (2005).
[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring ‘discrete’ solitons in 2D photonic lattices,” Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[CrossRef]

Cohen, O.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring ‘discrete’ solitons in 2D photonic lattices,” Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Dai, Z.

Dong, L.

Efremidis, N. K.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[CrossRef]

Fleischer, J. W.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring ‘discrete’ solitons in 2D photonic lattices,” Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[CrossRef]

Frantzeskakis, D. J.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklacelike solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

Garanovich, I.

Garanovich, I. L.

Guo, Q.

He, Y. J.

Huang, H. C.

Hudock, J.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring ‘discrete’ solitons in 2D photonic lattices,” Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Kartashov, Y. V.

Kartashov, Yaroslav V.

Kevrekidis, P. G.

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices,” Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef]

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklacelike solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

Kivshar, Y.

Kivshar, Y. S.

Krolikowski, W.

Lederer, F.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

Liu, Y. Z.

Makasyuk, I.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklacelike solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole solitons in optically induced two-dimensional photonic lattices,” Opt. Lett. 29, 1662–1664 (2004).
[CrossRef]

Malomed, B. A.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklacelike solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

Malomed, Boris A.

Y. J. He, Boris A. Malomed, and H. Z. Wang, “Steering the motion of rotary solitons in radial lattices,” Phys. Rev. A 76, 053601 (2007).
[CrossRef]

Manela, O.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring ‘discrete’ solitons in 2D photonic lattices,” Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Martin, H.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklacelike solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

Michinel, H.

Miller, P. D.

Musslimani, Z. H.

Neshev, D. N.

Rodas-Verde, M. I.

Rosberg, C. R.

Ryan, A. T.

Segev, M.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring ‘discrete’ solitons in 2D photonic lattices,” Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[CrossRef]

Silberberg, Y.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

Stegeman, G. I.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

Sukhorukov, A.

Sukhorukov, A. A.

Torner, L.

Torner, Lluis

Vysloukh, V. A.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton shape and mobility control in optical lattices,” Prog. Opt. 52, 63–148 (2009).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton control in chirped photonic lattices,” J. Opt. Soc. Am. B 22, 1356–1359 (2005).
[CrossRef]

Vysloukh, Victor A.

Wang, H.

Wang, H. Z.

Wang, X.

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices,” Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef]

Wu, T. W.

Yang, J.

Zheng, J.

Zheng, L. X.

Zhu, X.

J. Opt. Soc. Am. B (4)

Nature (1)

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[CrossRef]

Opt. Express (2)

Opt. Lett. (8)

Phys. Rep. (1)

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

Phys. Rev. A (1)

Y. J. He, Boris A. Malomed, and H. Z. Wang, “Steering the motion of rotary solitons in radial lattices,” Phys. Rev. A 76, 053601 (2007).
[CrossRef]

Phys. Rev. Lett. (3)

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices,” Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring ‘discrete’ solitons in 2D photonic lattices,” Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklacelike solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

Prog. Opt. (1)

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton shape and mobility control in optical lattices,” Prog. Opt. 52, 63–148 (2009).
[CrossRef]

Other (2)

I. L. Garanovich, S. Longhi, A. A. Sukhorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” http://arxiv.org/abs/1107.2992v1 .

Many manufacturers produce and sell the spatial phase-only modulator, e.g., HOLOEYE Photonics AG, and Hamamatsu Corporation, etc.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)

Fig. 1.
Fig. 1.

Deflection of a spatial-phase-modulated beam in optical lattice when p=0.15, A0=2, and Lm=1. The value of phase shift δ is (a) 0, (b) π/2, and (c) π, respectively.

Fig. 2.
Fig. 2.

Switching an optical beam on or off by spatial phase modulation when (a) p=0.3 and (b) p=0.1. Other parameters are δ=π/2, A0=1, and Lm=1.

Fig. 3.
Fig. 3.

Propagation behavior of a spatially phase-modulated beam when the parameters of spatial phase modulation are p=0.3, δ=π/2, and A0=3, and the lattice depth is Lm=1.

Fig. 4.
Fig. 4.

Propagation of a spatially phase-modulated beam in deep lattice when (a) p=0.15, and (b) p=0.3. Other parameters are: δ=π, A0=2, Lm=5.

Fig. 5.
Fig. 5.

Propagation of a spatially phase-modulated beam in optical lattice with different lattice period: (a) T=1.4, (b) T=10, and (c) T=0.1. Other parameters are: p=0.3, δ=0, A0=2, Lm=3.

Fig. 6.
Fig. 6.

The optical switching achieved in optical lattice with defocusing nonlinearity by changing p from (a) 0.3 to (b) 0.1. Other parameters are: δ=π/2, A0=1, Lm=2.

Equations (5)

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

iuζ+122uξ2+|u|2u+LmV(ξ)u=0,
N=|u|2dξ,
H=12{|uξ|2|u|42LmV(ξ)|q|2}dξ,
u(ξ,0)=Aexp(ξ2/x02)exp[iϕ0sin(2πpξ+δ)],
u(ξ,0)=Aexp(ξ2/x02)+Jm(ϕ0)exp[im(2πpξ+δ)].

Metrics