Abstract

We model spatial solitons in nematic liquid crystals, accounting for nonperturbative excitation and related effects, such as power-dependent self steering. We also address the interplay between nonlocality and saturation typical of a reorientational medium.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. N. Tabiryan and B. Zeldovich, Mol. Cryst. Liq. Cryst. 62, 237 (1980).
    [CrossRef]
  2. I. C. Khoo, Phys. Rep. 471, 221 (2009).
    [CrossRef]
  3. M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
    [CrossRef]
  4. M. A. Karpierz, Phys. Rev. E 66, 036603 (2002).
    [CrossRef]
  5. S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, IEEE Photonics Technol. Lett. 18, 1287 (2006).
    [CrossRef]
  6. M. Warenghem, J. F. Blach, and J. F. Henninot, J. Opt. Soc. Am. B 25, 1882 (2008).
    [CrossRef]
  7. U. A. Laudyn, M. Kwasny, and M. A. Karpierz, Appl. Phys. Lett. 94, 091110 (2009).
    [CrossRef]
  8. A. Piccardi, A. Alberucci, and G. Assanto, Electron. Lett. 46, 790 (2010).
    [CrossRef]
  9. G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14(2), 44 (2003).
    [CrossRef]
  10. G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
    [CrossRef]
  11. M. Peccianti, K. Brzadkiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
    [CrossRef]
  12. A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
    [CrossRef]
  13. M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 98, 113902 (2007).
    [CrossRef] [PubMed]
  14. M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
    [CrossRef]
  15. M. Peccianti and G. Assanto, Opt. Express 15, 8021 (2007).
    [CrossRef] [PubMed]
  16. A. Alberucci, M. Peccianti, and G. Assanto, Opt. Lett. 32, 2795 (2007).
    [CrossRef] [PubMed]
  17. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
    [CrossRef] [PubMed]
  18. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
    [CrossRef] [PubMed]
  19. A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
    [CrossRef]
  20. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. E 72, 066614 (2005).
    [CrossRef]
  21. A. A. Minzoni, N. F. Smyth, and A. L. Worthy, J. Opt. Soc. Am. B 24, 1549 (2007).
    [CrossRef]
  22. G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
    [CrossRef]
  23. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
    [CrossRef] [PubMed]
  24. A. Alberucci and G. Assanto, J. Opt. Soc. Am. B 24, 2314 (2007).
    [CrossRef]
  25. G. F. Calvo, J. Belmonte-Beitia, and V. M. Perez-Garcia, Chaos Sol. Fract. 41, 1791 (2009).
    [CrossRef]

2010 (1)

A. Piccardi, A. Alberucci, and G. Assanto, Electron. Lett. 46, 790 (2010).
[CrossRef]

2009 (4)

I. C. Khoo, Phys. Rep. 471, 221 (2009).
[CrossRef]

U. A. Laudyn, M. Kwasny, and M. A. Karpierz, Appl. Phys. Lett. 94, 091110 (2009).
[CrossRef]

G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
[CrossRef]

G. F. Calvo, J. Belmonte-Beitia, and V. M. Perez-Garcia, Chaos Sol. Fract. 41, 1791 (2009).
[CrossRef]

2008 (1)

2007 (5)

2006 (2)

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[CrossRef]

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, IEEE Photonics Technol. Lett. 18, 1287 (2006).
[CrossRef]

2005 (2)

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. E 72, 066614 (2005).
[CrossRef]

2004 (2)

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

2003 (3)

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef] [PubMed]

G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14(2), 44 (2003).
[CrossRef]

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

2002 (2)

2000 (1)

M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

1997 (1)

A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
[CrossRef]

1980 (1)

N. Tabiryan and B. Zeldovich, Mol. Cryst. Liq. Cryst. 62, 237 (1980).
[CrossRef]

Alberucci, A.

A. Piccardi, A. Alberucci, and G. Assanto, Electron. Lett. 46, 790 (2010).
[CrossRef]

A. Alberucci and G. Assanto, J. Opt. Soc. Am. B 24, 2314 (2007).
[CrossRef]

A. Alberucci, M. Peccianti, and G. Assanto, Opt. Lett. 32, 2795 (2007).
[CrossRef] [PubMed]

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

Assanto, G.

A. Piccardi, A. Alberucci, and G. Assanto, Electron. Lett. 46, 790 (2010).
[CrossRef]

G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
[CrossRef]

A. Alberucci and G. Assanto, J. Opt. Soc. Am. B 24, 2314 (2007).
[CrossRef]

M. Peccianti and G. Assanto, Opt. Express 15, 8021 (2007).
[CrossRef] [PubMed]

M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 98, 113902 (2007).
[CrossRef] [PubMed]

A. Alberucci, M. Peccianti, and G. Assanto, Opt. Lett. 32, 2795 (2007).
[CrossRef] [PubMed]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[CrossRef]

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, IEEE Photonics Technol. Lett. 18, 1287 (2006).
[CrossRef]

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. E 72, 066614 (2005).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef] [PubMed]

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14(2), 44 (2003).
[CrossRef]

M. Peccianti, K. Brzadkiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
[CrossRef]

M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

Belmonte-Beitia, J.

G. F. Calvo, J. Belmonte-Beitia, and V. M. Perez-Garcia, Chaos Sol. Fract. 41, 1791 (2009).
[CrossRef]

Blach, J. F.

Brzadkiewicz, K.

Calvo, G. F.

G. F. Calvo, J. Belmonte-Beitia, and V. M. Perez-Garcia, Chaos Sol. Fract. 41, 1791 (2009).
[CrossRef]

Conti, C.

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. E 72, 066614 (2005).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef] [PubMed]

G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14(2), 44 (2003).
[CrossRef]

De Luca, A.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

De Rossi, A.

M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

Dyadyusha, A.

M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 98, 113902 (2007).
[CrossRef] [PubMed]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[CrossRef]

Henninot, J. F.

Kaczmarek, M.

M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 98, 113902 (2007).
[CrossRef] [PubMed]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[CrossRef]

Karpierz, M. A.

U. A. Laudyn, M. Kwasny, and M. A. Karpierz, Appl. Phys. Lett. 94, 091110 (2009).
[CrossRef]

M. A. Karpierz, Phys. Rev. E 66, 036603 (2002).
[CrossRef]

Khoo, I. C.

I. C. Khoo, Phys. Rep. 471, 221 (2009).
[CrossRef]

M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

Kwasny, M.

U. A. Laudyn, M. Kwasny, and M. A. Karpierz, Appl. Phys. Lett. 94, 091110 (2009).
[CrossRef]

Laudyn, U. A.

U. A. Laudyn, M. Kwasny, and M. A. Karpierz, Appl. Phys. Lett. 94, 091110 (2009).
[CrossRef]

Minzoni, A. A.

G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
[CrossRef]

A. A. Minzoni, N. F. Smyth, and A. L. Worthy, J. Opt. Soc. Am. B 24, 1549 (2007).
[CrossRef]

Mitchell, D. J.

A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
[CrossRef]

Pasquazi, A.

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

Peccianti, M.

M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 98, 113902 (2007).
[CrossRef] [PubMed]

M. Peccianti and G. Assanto, Opt. Express 15, 8021 (2007).
[CrossRef] [PubMed]

A. Alberucci, M. Peccianti, and G. Assanto, Opt. Lett. 32, 2795 (2007).
[CrossRef] [PubMed]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[CrossRef]

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, IEEE Photonics Technol. Lett. 18, 1287 (2006).
[CrossRef]

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. E 72, 066614 (2005).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef] [PubMed]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef] [PubMed]

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14(2), 44 (2003).
[CrossRef]

M. Peccianti, K. Brzadkiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
[CrossRef]

M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

Perez-Garcia, V. M.

G. F. Calvo, J. Belmonte-Beitia, and V. M. Perez-Garcia, Chaos Sol. Fract. 41, 1791 (2009).
[CrossRef]

Piccardi, A.

A. Piccardi, A. Alberucci, and G. Assanto, Electron. Lett. 46, 790 (2010).
[CrossRef]

Serak, S. V.

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, IEEE Photonics Technol. Lett. 18, 1287 (2006).
[CrossRef]

Smyth, N. F.

G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
[CrossRef]

A. A. Minzoni, N. F. Smyth, and A. L. Worthy, J. Opt. Soc. Am. B 24, 1549 (2007).
[CrossRef]

Snyder, A. W.

A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
[CrossRef]

Tabiryan, N.

N. Tabiryan and B. Zeldovich, Mol. Cryst. Liq. Cryst. 62, 237 (1980).
[CrossRef]

Tabiryan, N. V.

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, IEEE Photonics Technol. Lett. 18, 1287 (2006).
[CrossRef]

Umeton, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

Warenghem, M.

Worthy, A. L.

Zeldovich, B.

N. Tabiryan and B. Zeldovich, Mol. Cryst. Liq. Cryst. 62, 237 (1980).
[CrossRef]

Appl. Phys. Lett. (3)

M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

U. A. Laudyn, M. Kwasny, and M. A. Karpierz, Appl. Phys. Lett. 94, 091110 (2009).
[CrossRef]

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

Chaos Sol. Fract. (1)

G. F. Calvo, J. Belmonte-Beitia, and V. M. Perez-Garcia, Chaos Sol. Fract. 41, 1791 (2009).
[CrossRef]

Electron. Lett. (1)

A. Piccardi, A. Alberucci, and G. Assanto, Electron. Lett. 46, 790 (2010).
[CrossRef]

IEEE J. Quantum Electron. (1)

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

IEEE Photonics Technol. Lett. (1)

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, IEEE Photonics Technol. Lett. 18, 1287 (2006).
[CrossRef]

J. Nonlinear Opt. Phys. Mater. (1)

G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
[CrossRef]

J. Opt. Soc. Am. B (3)

Mol. Cryst. Liq. Cryst. (1)

N. Tabiryan and B. Zeldovich, Mol. Cryst. Liq. Cryst. 62, 237 (1980).
[CrossRef]

Nat. Phys. (1)

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
[CrossRef]

Nature (1)

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

Opt. Express (1)

Opt. Lett. (2)

Opt. Photon. News (1)

G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14(2), 44 (2003).
[CrossRef]

Phys. Rep. (1)

I. C. Khoo, Phys. Rep. 471, 221 (2009).
[CrossRef]

Phys. Rev. E (2)

M. A. Karpierz, Phys. Rev. E 66, 036603 (2002).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. E 72, 066614 (2005).
[CrossRef]

Phys. Rev. Lett. (3)

M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 98, 113902 (2007).
[CrossRef] [PubMed]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef] [PubMed]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef] [PubMed]

Science (1)

A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
[CrossRef]

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 (4)

Fig. 1
Fig. 1

Soliton self-bending in NLC. (a) ψ u and (b) | u | 2 (scaled to its peak) versus y / L . (c) Soliton waist and (d) maxima of ψ u (blue solid line) and walk-off δ ( b ) (dashed red line) versus power. (e), (f) Soliton evolution for (e) P 2 D = 2.2 mW and (f) P 2 D = 47 mW , respectively; (g), (h) director distributions corresponding to (e), (f). Here λ 0 / L = 0.009 , n = 1.5 , n = 1.7 , and θ 0 = π / 4 .

Fig. 2
Fig. 2

Electric field components of the solitary wave versus y / L and excitation. All fields are normalized to the maximum of | E y | at each power. The imaginary part of E y is negligible. Here P 0 = 0.02 mW , and the other parameters are as in Fig. 1.

Fig. 3
Fig. 3

(a) Nonlinear propagation index, (b) maximum reorientation, and (c) walk-off versus soliton power for θ 0 = 5 ° (blue), 25 ° (green), 45 ° (red), 65 ° (cyan) and 85 ° (violet). The arrows indicate increasing values of θ. (d) log ( w / w 0 ) versus excitation and θ 0 ; (e) minimum waist at each θ 0 . Here w 0 = 1 μm , and the waist along x is 0.08 (normalized units).

Fig. 4
Fig. 4

Nematicons in the parabolic index approximation. Waist versus (a) power and (b) rest angle θ 0 . The dots in (b) are the numerical results from Eqs. (5, 6): as expected, the agreement improves for small waists (highly nonlocal approximation) and low powers [i.e., when the screening term in Eq. (6) is negligible].

Equations (9)

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

2 θ + γ [ sin ( 2 θ ) ( | E y | 2 | E z | 2 ) + 2 cos ( 2 θ ) Re ( E y E z * ) ] = 0 ,
H z + ϵ y z ϵ z z H y i ω ϵ 0 n e 2 E y i ω μ 0 2 E y x 2 = 0 ,
E y z + ϵ y z ϵ z z E y y i ω μ 0 H i ω ϵ z z 2 H y 2 = 0 ,
2 H z 2 + D y 2 H y 2 + 2 H x 2 + k 0 2 n e 2 H = 0 ,
2 A z 2 + 2 i k 0 n e ( b ) A z + D y 2 A y 2 + 2 A x 2 + k 0 2 Δ n e 2 A = 0 ,
2 ψ y 2 + 2 ψ z 2 ( π L ) 2 ψ + γ { sin [ 2 ( ψ + θ 0 ) ] ( | E y | 2 | E z | 2 ) + 2 cos [ 2 ( ψ + θ 0 ) ] Re ( E y E z * ) } = 0 ,
( 2 n NL n e ( b ) + n NL 2 ) k 0 2 u = D y 2 u y 2 + k 0 2 Δ n e 2 u ,
( 1 + tan 2 δ ( b ) ) 2 ψ u y 2 ( π L ) 2 ψ u + γ { sin [ 2 ( ψ u + θ 0 ) ] ( | E y | 2 | E z | 2 ) + 2 cos [ 2 ( ψ u + θ 0 ) ] Re ( E y E z * ) } = 0.
P 2 D = D λ 2 ( 1 + tan 2 δ ( b ) ) 8 π Z 0 γ sin [ 2 ( θ 0 + ψ 0 δ ( b ) ) ] ( n e / θ ) | θ 0 + ψ 0 1 w 2 .

Metrics