Skip to main content
Top

2013 | OriginalPaper | Chapter

Light Self-Localization and Power-Dependent Steering in Anisotropic Dielectrics: Spatial Solitons in Uniaxial Nematic Liquid Crystals

Authors : Alessandro Alberucci, Gaetano Assanto

Published in: Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations

Publisher: Springer Berlin Heidelberg

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We discuss nonlinear propagation of light beams in anisotropic media, addressing the role of nonlocality and nonlinearity in power-dependent beam self-steering. With specific reference to spatial solitons in positive uniaxial nematic liquid crystals (i.e. nematicons), we describe soliton self-acceleration through reorientational response and nonlinear walk-off.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
1
In this work we will use the terms soliton and solitary waves interchangeably, even though in mathematical physics they can refer to distinct wave entities.
 
2
Nematicons could propagate even in negative uniaxial NLC, the only difference being the sign of the torque. To our knowledge, no experimental observation was reported in this case.
 
3
Hereby we ignore wavevector deflections associated with asymmetric boundary conditions.
 
4
This is true for the given anisotropy; see [50] for a complete discussion on the role played by the anisotropy \(\varvec{\epsilon}_a\) on nematicon properties.
 
Literature
2.
go back to reference Y.R. Shen, The Principle of Nonlinear Optics (Wiley, New York, 2002) Y.R. Shen, The Principle of Nonlinear Optics (Wiley, New York, 2002)
3.
go back to reference G.I. Stegeman, R.A. Stegeman, Nonlinear Optics (Wiley, New York, 2012)MATH G.I. Stegeman, R.A. Stegeman, Nonlinear Optics (Wiley, New York, 2012)MATH
4.
go back to reference P.L. Kelley, Phys. Rev. Lett. 15(26), 1005 (1965) P.L. Kelley, Phys. Rev. Lett. 15(26), 1005 (1965)
5.
7.
go back to reference Y.S. Kivshar, G.P. Agrawal, Optical Solitons (Academic, San Diego, 2003) Y.S. Kivshar, G.P. Agrawal, Optical Solitons (Academic, San Diego, 2003)
8.
go back to reference A. Yariv, P. Yeh (eds.), Optical Waves in Crystals: Propagation and Control of Laser Radiation (Wiley, Hoboken, 2003) A. Yariv, P. Yeh (eds.), Optical Waves in Crystals: Propagation and Control of Laser Radiation (Wiley, Hoboken, 2003)
9.
go back to reference G.C. Duree, J.L. Shultz, G.J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E.J. Sharp, R.R. Neurgaonkar, Phys. Rev. Lett. 71(4), 533 (1993) G.C. Duree, J.L. Shultz, G.J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E.J. Sharp, R.R. Neurgaonkar, Phys. Rev. Lett. 71(4), 533 (1993)
10.
go back to reference W.E. Torruellas, Z. Wang, D.J. Hagan, E.W. Van Stryland, G.I. Stegeman, L. Torner, C.R. Menyuk, Phys. Rev. Lett. 74(25), 5036 (1995) W.E. Torruellas, Z. Wang, D.J. Hagan, E.W. Van Stryland, G.I. Stegeman, L. Torner, C.R. Menyuk, Phys. Rev. Lett. 74(25), 5036 (1995)
11.
12.
go back to reference W.E. Torruellas, G. Assanto, B.L. Lawrence, R.A. Fuerst, G.I. Stegeman, Appl. Phys. Lett. 68(11), 1449 (1996)CrossRef W.E. Torruellas, G. Assanto, B.L. Lawrence, R.A. Fuerst, G.I. Stegeman, Appl. Phys. Lett. 68(11), 1449 (1996)CrossRef
13.
go back to reference E. Braun, L.P. Faucheux, A. Libchaber, Phys. Rev. A 48(1), 611 (1993) E. Braun, L.P. Faucheux, A. Libchaber, Phys. Rev. A 48(1), 611 (1993)
14.
16.
18.
go back to reference A. Barak, O. Peleg, C. Stucchio, A. Soffer, M. Segev, Phys. Rev. Lett. 100(15), 153901 (2008)CrossRef A. Barak, O. Peleg, C. Stucchio, A. Soffer, M. Segev, Phys. Rev. Lett. 100(15), 153901 (2008)CrossRef
19.
20.
go back to reference B. Alfassi, C. Rotschild, O. Manela, M. Segev, D.N. Christodoulides, Opt. Lett. 32, 154 (2006)CrossRef B. Alfassi, C. Rotschild, O. Manela, M. Segev, D.N. Christodoulides, Opt. Lett. 32, 154 (2006)CrossRef
21.
22.
go back to reference J. Petter, C. Weilnau, C. Denz, A. Stepken, F. Kaiser, Opt. Commun. 170, 291 (1999)CrossRef J. Petter, C. Weilnau, C. Denz, A. Stepken, F. Kaiser, Opt. Commun. 170, 291 (1999)CrossRef
23.
go back to reference M. Peccianti, A. Dyadyusha, M. Kaczmarek, G. Assanto, Phys. Rev. Lett. 101(15), 153902 (2008)CrossRef M. Peccianti, A. Dyadyusha, M. Kaczmarek, G. Assanto, Phys. Rev. Lett. 101(15), 153902 (2008)CrossRef
24.
25.
go back to reference G.A. Siviloglou, J. Broky, A. Dogariu, D.N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007)CrossRef G.A. Siviloglou, J. Broky, A. Dogariu, D.N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007)CrossRef
26.
go back to reference S. Jia, J. Lee, J.W. Fleischer, G.A. Siviloglou, D.N. Christodoulides, Phys. Rev. Lett. 104, 253904 (2010)CrossRef S. Jia, J. Lee, J.W. Fleischer, G.A. Siviloglou, D.N. Christodoulides, Phys. Rev. Lett. 104, 253904 (2010)CrossRef
27.
go back to reference I. Kaminer, M. Segev, D.N. Christodoulides, Phys. Rev. Lett. 106, 213903 (2011)CrossRef I. Kaminer, M. Segev, D.N. Christodoulides, Phys. Rev. Lett. 106, 213903 (2011)CrossRef
28.
go back to reference P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, Z. Chen, Opt. Lett. 37(14), 2820 (2012)CrossRef P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, Z. Chen, Opt. Lett. 37(14), 2820 (2012)CrossRef
29.
go back to reference I. Kaminer, R. Bekenstein, J. Nemirovsky, M. Segev, Phys. Rev. Lett. 108, 163901 (2012)CrossRef I. Kaminer, R. Bekenstein, J. Nemirovsky, M. Segev, Phys. Rev. Lett. 108, 163901 (2012)CrossRef
30.
go back to reference A. Alberucci, A. Piccardi, M. Peccianti, M. Kaczmarek, G. Assanto, Phys. Rev. A 82(2), 023806 (2010)CrossRef A. Alberucci, A. Piccardi, M. Peccianti, M. Kaczmarek, G. Assanto, Phys. Rev. A 82(2), 023806 (2010)CrossRef
31.
go back to reference M. Kwasny, A. Piccardi, A. Alberucci, M. Peccianti, M. Kaczmarek, M.A. Karpierz, G. Assanto, Opt. Lett. 36(13), 2566 (2011)CrossRef M. Kwasny, A. Piccardi, A. Alberucci, M. Peccianti, M. Kaczmarek, M.A. Karpierz, G. Assanto, Opt. Lett. 36(13), 2566 (2011)CrossRef
35.
36.
37.
go back to reference A. Piccardi, A. Alberucci, G. Assanto, Mol. Cryst. Liq. Cryst. 549(1), 1 (2011)CrossRef A. Piccardi, A. Alberucci, G. Assanto, Mol. Cryst. Liq. Cryst. 549(1), 1 (2011)CrossRef
38.
40.
go back to reference W. Krolikowski, B. Luther-Davies, C. Denz, J. Quantum Electron. 39, 3 (2003)CrossRef W. Krolikowski, B. Luther-Davies, C. Denz, J. Quantum Electron. 39, 3 (2003)CrossRef
41.
42.
44.
go back to reference F. Simoni, Nonlinear Optical Properties of Liquid Crystals (World Scientific, Singapore, 1997)CrossRef F. Simoni, Nonlinear Optical Properties of Liquid Crystals (World Scientific, Singapore, 1997)CrossRef
45.
go back to reference I.C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley, New York, 1995) I.C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley, New York, 1995)
46.
go back to reference M. Peccianti, A.D. Rossi, G. Assanto, A. De Luca, C. Umeton, I.C. Khoo, Appl. Phys. Lett. 77(1), 7 (2000) M. Peccianti, A.D. Rossi, G. Assanto, A. De Luca, C. Umeton, I.C. Khoo, Appl. Phys. Lett. 77(1), 7 (2000)
48.
50.
go back to reference A. Piccardi, M. Trotta, M. Kwasny, A. Alberucci, R. Asquini, M. Karpierz, A. D’Alessandro, G. Assanto, Appl. Phys. B 104(4), 805 (2011)CrossRef A. Piccardi, M. Trotta, M. Kwasny, A. Alberucci, R. Asquini, M. Karpierz, A. D’Alessandro, G. Assanto, Appl. Phys. B 104(4), 805 (2011)CrossRef
51.
53.
go back to reference G. Assanto, A.A. Minzoni, N.F. Smyth, J. Nonlinear Opt. Phys. Mat. 18, 657 (2009)CrossRef G. Assanto, A.A. Minzoni, N.F. Smyth, J. Nonlinear Opt. Phys. Mat. 18, 657 (2009)CrossRef
54.
Metadata
Title
Light Self-Localization and Power-Dependent Steering in Anisotropic Dielectrics: Spatial Solitons in Uniaxial Nematic Liquid Crystals
Authors
Alessandro Alberucci
Gaetano Assanto
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/10091_2012_23

Premium Partner