메뉴 건너뛰기




Volumn 22, Issue 8, 2005, Pages 1681-1690

Bifurcation analysis of optically induced dynamics in nematic liquid crystals: Elliptical polarization at normal incidence

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; LIGHT POLARIZATION; LIGHT PROPAGATION; MATRIX ALGEBRA; NEMATIC LIQUID CRYSTALS; NONLINEAR OPTICS; VECTORS;

EID: 24144480970     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.22.001681     Document Type: Article
Times cited : (15)

References (36)
  • 3
    • 0008980038 scopus 로고
    • "Giant optical nonlinearities in nematic liquid crystals"
    • A. Miller, K. R. Welford, and B. Daino, eds. (Kluwer Academic)
    • E. Santamato, "Giant optical nonlinearities in nematic liquid crystals," in Nonlinear Optical Material and Devices for Applications in Information Technology, A. Miller, K. R. Welford, and B. Daino, eds. (Kluwer Academic, 1995), pp. 103-139.
    • (1995) Nonlinear Optical Material and Devices for Applications in Information Technology , pp. 103-139
    • Santamato, E.1
  • 6
    • 17944396379 scopus 로고    scopus 로고
    • "Transition to chaos via gluing bifurcations in optically excited nematic liquid crystals"
    • G. Demeter and L. Kramer, "Transition to chaos via gluing bifurcations in optically excited nematic liquid crystals," Phys. Rev. Lett. 83, 4744-4747 (1999).
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 4744-4747
    • Demeter, G.1    Kramer, L.2
  • 7
    • 0034205532 scopus 로고    scopus 로고
    • "Complex nonlinear behavior in optically excited nematic liquid crystals"
    • G. Demeter, "Complex nonlinear behavior in optically excited nematic liquid crystals," Phys. Rev. E 61, 6678-6688 (2000).
    • (2000) Phys. Rev. E , vol.61 , pp. 6678-6688
    • Demeter, G.1
  • 8
    • 0035419829 scopus 로고    scopus 로고
    • "Numerical investigation of optically induced director oscillations in nematic liquid crystals"
    • G. Demeter and L. Kramer, "Numerical investigation of optically induced director oscillations in nematic liquid crystals," Phys. Rev. E 64, 020701 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 020701
    • Demeter, G.1    Kramer, L.2
  • 9
    • 84894017410 scopus 로고    scopus 로고
    • "Comment on 'Numerical investigation of optically induced director oscillations in nematic liquid crystals'"
    • (to be published)
    • E. Brasselet, "Comment on 'Numerical investigation of optically induced director oscillations in nematic liquid crystals'," Phys. Rev. E (to be published).
    • Phys. Rev. E
    • Brasselet, E.1
  • 10
    • 42749099349 scopus 로고    scopus 로고
    • "On-off intermittency in chaotic rotation induced in liquid crystals by competition between spin and orbital angular momentum of light"
    • A. Vella, A. Setaro, B. Piccirillo, and E. Santamato, "On-off intermittency in chaotic rotation induced in liquid crystals by competition between spin and orbital angular momentum of light," Phys. Rev. E 67, 051704 (2003).
    • (2003) Phys. Rev. E , vol.67 , pp. 051704
    • Vella, A.1    Setaro, A.2    Piccirillo, B.3    Santamato, E.4
  • 12
    • 0000261357 scopus 로고
    • "Light-induced Fréedericksz transition in an MBBA crystal"
    • [JETP Lett. 34, 250-254 (1981)]
    • A. S. Zolot'ko, V. F. Kitaeva, N. Kroo, N. N. Sobolev, and L. Csillag, "Light-induced Fréedericksz transition in an MBBA crystal," Pis'ma Zh. Eksp. Teor. Fiz. 34, 263-267 (1981), [JETP Lett. 34, 250-254 (1981)].
    • (1981) Pis'ma Zh. Eksp. Teor. Fiz. , vol.34 , pp. 263-267
    • Zolot'Ko, A.S.1    Kitaeva, V.F.2    Kroo, N.3    Sobolev, N.N.4    Csillag, L.5
  • 13
    • 35949016054 scopus 로고
    • "Collective rotation of molecules driven by the angular momentum of light in a nematic film"
    • E. Santamato, B. Daino, M. Romagnoli, M. Settembre, and Y. R. Shen, "Collective rotation of molecules driven by the angular momentum of light in a nematic film," Phys. Rev. Lett. 57, 2423-2426 (1986).
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 2423-2426
    • Santamato, E.1    Daino, B.2    Romagnoli, M.3    Settembre, M.4    Shen, Y.R.5
  • 14
    • 0000618307 scopus 로고
    • "Fréedericksz transition induced in nematic liquid-crystal by circularly polarized-light wave"
    • [JETP Lett. 52, 62-65 (1990)]
    • A. S. Zolot'ko and A. P. Sukhorukov, "Fréedericksz transition induced in nematic liquid-crystal by circularly polarized-light wave," Pis'ma Zh. Eksp. Teor. Fiz. 52, 707-710 (1990) [JETP Lett. 52, 62-65 (1990)].
    • (1990) Pis'ma Zh. Eksp. Teor. Fiz. , vol.52 , pp. 707-710
    • Zolot'Ko, A.S.1    Sukhorukov, A.P.2
  • 15
    • 0000412206 scopus 로고
    • "Self-stimulated light scattering in nematic liquid crystals: Theory and experiment"
    • L. Marrucci, G. Abbate, S. Ferraiuolo, P. Maddalena, and E. Santamato, "Self-stimulated light scattering in nematic liquid crystals: theory and experiment," Phys. Rev. A 46, 4859-4868 (1992).
    • (1992) Phys. Rev. A , vol.46 , pp. 4859-4868
    • Marrucci, L.1    Abbate, G.2    Ferraiuolo, S.3    Maddalena, P.4    Santamato, E.5
  • 16
    • 0036645729 scopus 로고    scopus 로고
    • "New laser induced spatio-temporal transition in nematics"
    • E. Brasselet, B. Doyon, T. V. Galstian, and L. J. Dubé, "New laser induced spatio-temporal transition in nematics," Phys. Lett. A 299, 212-216 (2002).
    • (2002) Phys. Lett. A , vol.299 , pp. 212-216
    • Brasselet, E.1    Doyon, B.2    Galstian, T.V.3    Dubé, L.J.4
  • 17
    • 9144247779 scopus 로고    scopus 로고
    • "Orientational dynamics induced by circularly polarized light in nematic liquid crystals"
    • D. O. Krimer, G. Demeter, and L. Kramer, "Orientational dynamics induced by circularly polarized light in nematic liquid crystals," Mol. Cryst. Liq. Cryst. Suppl. Ser. 421, 117-131 (2004).
    • (2004) Mol. Cryst. Liq. Cryst. Suppl. Ser. , vol.421 , pp. 117-131
    • Krimer, D.O.1    Demeter, G.2    Kramer, L.3
  • 19
    • 37649032028 scopus 로고    scopus 로고
    • "Coupled-mode approach to the nonlinear dynamics induced by an elliptically polarized laser field in liquid crystals at normal incidence"
    • n(cos u). Eq. (26) should read
    • n(cos u). Eq. (26) should read
    • (2002) Phys. Rev. E , vol.65 , pp. 031706
    • Vella, A.1    Piccirillo, B.2    Santamato, E.3
  • 21
    • 0002976944 scopus 로고    scopus 로고
    • "Experimental study of the molecular reorientation induced by the ordinary wave in a nematic liquid crystal film"
    • E. Santamato, P. Maddalena, L. Marrucci, and B. Piccirillo, "Experimental study of the molecular reorientation induced by the ordinary wave in a nematic liquid crystal film," Liq. Cryst. 25, 357-362 (1998).
    • (1998) Liq. Cryst. , vol.25 , pp. 357-362
    • Santamato, E.1    Maddalena, P.2    Marrucci, L.3    Piccirillo, B.4
  • 22
    • 0035334199 scopus 로고    scopus 로고
    • "Homoclinic gluing bifurcations during the light induced reorientation in nematic-liquid-crystal films"
    • V. Carbone, G. Cipparrone, and G. Russo, "Homoclinic gluing bifurcations during the light induced reorientation in nematic-liquid-crystal films," Phys. Rev. E 63, 051701 (2001).
    • (2001) Phys. Rev. E , vol.63 , pp. 051701
    • Carbone, V.1    Cipparrone, G.2    Russo, G.3
  • 23
    • 41349083780 scopus 로고    scopus 로고
    • "Pattern-forming instability induced by light in pure and dye-doped nematic liquid crystals"
    • D. O. Krimer, G. Demeter, and L. Kramer, "Pattern-forming instability induced by light in pure and dye-doped nematic liquid crystals," Phys. Rev. E 66, 031707 (2002).
    • (2002) Phys. Rev. E , vol.66 , pp. 031707
    • Krimer, D.O.1    Demeter, G.2    Kramer, L.3
  • 24
    • 0035848129 scopus 로고    scopus 로고
    • "Orbital and spin photon angular momentum transfer in liquid crystals"
    • B. Piccirillo, C. Toscano, F. Vetrano, and E. Santamato, "Orbital and spin photon angular momentum transfer in liquid crystals," Phys. Rev. Lett. 86, 2285-2288 (2001).
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 2285-2288
    • Piccirillo, B.1    Toscano, C.2    Vetrano, F.3    Santamato, E.4
  • 25
    • 42749102654 scopus 로고    scopus 로고
    • "Optical Fréedericksz transition in liquid crystals and transfer of the orbital angular momentum of light"
    • B. Piccirillo, A. Vella, and E. Santamato, "Optical Fréedericksz transition in liquid crystals and transfer of the orbital angular momentum of light," Phys. Rev. E 69, 021702 (2004).
    • (2004) Phys. Rev. E , vol.69 , pp. 021702
    • Piccirillo, B.1    Vella, A.2    Santamato, E.3
  • 26
    • 0003478288 scopus 로고
    • For a classification of the different types of bifurcation, the reader is invited to consult, e.g., (Springer-Verlag). See also Refs. 27 and 28
    • For a classification of the different types of bifurcation, the reader is invited to consult, e.g., J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields (Springer-Verlag, 1983). See also Refs. 27 and 28.
    • (1983) Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields
    • Guckenheimer, J.1    Holmes, P.2
  • 30
    • 0001369712 scopus 로고
    • "Theory of optically induced Fredericksz transition"
    • [Sov. Phys. JETP 55, 656-666 (1982)]
    • B. Y. Zel'dovich and N. Tabiryan, "Theory of optically induced Fredericksz transition," Zh. Eksp. Teor. Fiz. 82, 1126-1146 (1982) [Sov. Phys. JETP 55, 656-666 (1982)].
    • (1982) Zh. Eksp. Teor. Fiz. , vol.82 , pp. 1126-1146
    • Zel'Dovich, B.Y.1    Tabiryan, N.2
  • 31
    • 24144500338 scopus 로고    scopus 로고
    • "Bifurcation analysis of optically induced dynamics in nematic liquid crystals: Circular polarization at normal incidence"
    • E. Brasselet, T. V. Galstian, L. J. Dubé, D. O. Krimer, and L. Kramer, "Bifurcation analysis of optically induced dynamics in nematic liquid crystals: circular polarization at normal incidence," J. Opt. Soc. Am. B 22, 1671-1680 (2005).
    • (2005) J. Opt. Soc. Am. B , vol.22 , pp. 1671-1680
    • Brasselet, E.1    Galstian, T.V.2    Dubé, L.J.3    Krimer, D.O.4    Kramer, L.5
  • 32
    • 84975594906 scopus 로고
    • "Laser-induced diffraction rings from a nematic-liquid-crystal film"
    • S. D. Durbin, S. M. Arakelian, and Y. R. Shen, "Laser-induced diffraction rings from a nematic-liquid-crystal film," Opt. Lett. 6, 411-413 (1981).
    • (1981) Opt. Lett. , vol.6 , pp. 411-413
    • Durbin, S.D.1    Arakelian, S.M.2    Shen, Y.R.3
  • 33
    • 42749100078 scopus 로고    scopus 로고
    • "Optically induced dynamics in nematic liquid crystals: The role of finite beam size"
    • E. Brasselet, B. Doyon, T. V. Galstian, and L. J. Dubé, "Optically induced dynamics in nematic liquid crystals: the role of finite beam size," Phys. Rev. E 69, 021701 (2004).
    • (2004) Phys. Rev. E , vol.69 , pp. 021701
    • Brasselet, E.1    Doyon, B.2    Galstian, T.V.3    Dubé, L.J.4
  • 34
    • 84894013819 scopus 로고    scopus 로고
    • note
    • n sin(nπz/L) are zero at the center of the cell (z=L/2).
  • 35
    • 84894021137 scopus 로고    scopus 로고
    • note
    • The stable LD state in the present example (just above ρL for X=0.57) is represented by a stable focus in that for lower values of X the director settles to a LO state above the homoclinic bifurcation.
  • 36
    • 0006998293 scopus 로고    scopus 로고
    • "Optical multistability and confined orientational states in nematic liquid crystals: Strong excitation regime"
    • E. Brasselet and T. V. Galstian, "Optical multistability and confined orientational states in nematic liquid crystals: strong excitation regime," J. Opt. Soc. Am. B 18, 982-988 (2001).
    • (2001) J. Opt. Soc. Am. B , vol.18 , pp. 982-988
    • Brasselet, E.1    Galstian, T.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.