Abstract
Multiple light scattering by director fluctuations in nematic liquid crystals is considered. A uniform director orientation is assumed to be specified by an applied magnetic field. The coherent backscattering effect, which consists in the presence of a sharp light backscattering peak, is studied. The Bethe-Salpeter equation is used to calculate the multiple scattering intensity taking into account the contributions of ladder and cyclic diagrams. An analytical expression for the angular and polarization dependences of the coherent backscattering intensity is obtained in terms of the diffusion approximation. The calculation and experimental results are compared. The developed theory is shown to qualitatively describe the elliptical shape of the backscattering cone, to explain the absence of a coherent contribution for crossed polarizations, and to calculate the relative peak height.
Similar content being viewed by others
References
Wave Scattering in Complex Media: From Theory to Applications, Ed. by B. A. van Tiggelen and S. E. Skipetrov, in NATO Science Series II: Mathematics, Physics, and Chemistry (Kluwer, Dordrecht, 2003).
B. van Tiggelen and H. Stark, Rev. Mod. Phys. 72, 1017 (2000).
Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, and A. I. Saichev, in Progress in Optics, Vol. 29: Enhanced Backscattering in Optics, Ed. by E. Wolf (North Holland, Amsterdam, 1991), p. 67.
Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications, Ed. by M. I. Mishchenko, L. D. Travis, and J. W. Hovenier, (Academic, San Diego, CA, United States, 2000).
Ping Sheng, Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena (Academic, San Diego, CA, United States, 1995).
V. L. Kuz’min and V. P. Romanov, Usp. Fiz. Nauk 166(3), 247 (1996) [Phys.—Usp. 39 (3), 231 (1996)].
V. V. Tuchin, Usp. Fiz. Nauk 167(5), 517 (1997) [Phys.—Usp. 40 (5), 495 (1997)].
M. C. W. van Rossum and Th. M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999).
M. P. van Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1985).
P. E. Wolf and G. Maret, Phys. Rev. Lett. 55, 2696 (1985).
M. B. van der Mark, M. P. van Albada, and A. Lagendijk, Phys. Rev. B: Condens. Matter 37, 3575 (1988).
F. C. MacKintosh and S. John, Phys. Rev. B: Condens. Matter 37, 1884 (1988).
F. C. MacKintosh and S. John, Phys. Rev. B: Condens. Matter 40, 2383 (1989).
B. P. J. Bret and A. Lagendijk, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 70, 036 601 (2004).
A. A. Golubentsev, Zh. Éksp. Teor. Fiz. 86(1), 47 (1984) [Sov. Phys. JETP 59 (1), 26 (1984)].
M. J. Stephen and G. Cwilich, Phys. Rev. B: Condens. Matter 34, 7564 (1986).
B. A. van Tiggelen, R. Maynard, and Th. M. Nieuwenhuizen, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 53, 2881 (1996).
D. Lacoste and B. A. van Tiggelen, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 61, 4556 (2000).
L. V. Kuz’min, V. P. Romanov, and L. A. Zubkov, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 54, 6798 (1996).
H. Stark and T. C. Lubensky, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 55, 514 (1997).
H. Stark, M. H. Kao, K. A. Jester, T. C. Lubensky, and A. G. Yodh, J. Opt. Soc. Am. A 14, 156 (1997).
B. A. van Tiggelen, R. Maynard, and A. Heiderich, Phys. Rev. Lett. 77, 639 (1996).
B. A. van Tiggelen, A. Heiderich, and R. Maynard, Mol. Cryst. Liq. Cryst. 293, 205 (1997).
B. C. Kaas, B. A. van Tiggelen, and A. Lagendijk, Phys. Rev. Lett. 100, 123 902 (2008).
R. Sapienza, S. Mujumdar, C. Cheung, A. G. Yodh, and D. Wiersma, Phys. Rev. Lett. 92, 033 903 (2004).
R. Sapienza, D. S. Wiersma, and D. Delande, Mol. Cryst. Liq. Cryst. 429, 193 (2005).
P. de Genes, The Physics of Liquid Crystals (Clarendon, Oxford, 1974; Mir, Moscow, 1977).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1976; Butterworth-Heinemann, Oxford, 1984).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Butterworth-Heinemann, Oxford, 1984).
M. Lax and D. F. Nelson, in Proceedings of the III Rochester Conference on Coherence and Quantum Optics, 1972 (Plenum, New York, 1973), p. 415.
M. Lax and D. F. Nelson, in Proceedings of the First Soviet-American Conference on Theory of Light Scattering in Condensed Media (Nauka, Moscow, 1976), Vol. 2, p. 452.
A. Ishimaru, Wave Propagation and Scattering Media (Academic, New York, 1978; Mir, Moscow, 1981), Vol. 2.
D. Langevin and M.-A. Bouchiat, J. Phys., Colloq. 36(C-1), 197 (1975).
A. Yu. Val’kov and V. P. Romanov, Zh. Éksp. Teor. Fiz. 90(4), 1264 (1986) [Sov. Phys. JETP 63 (4), 737 (1986)].
D. S. Wiersma, A. Muzzi, M. Colocci, and R. Righini, Phys. Rev. Lett. 83, 4321 (1999).
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 1: Elementary Functions (Nauka, Moscow, 1981; Gordon and Breach, New York, 1986), p. 389.
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 2: Special Functions (Nauka, Moscow, 1983), p. 189.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.V. Aksenova, V.L. Kuz’min, V.P. Romanov, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 135, No. 3, pp. 587–607.
Rights and permissions
About this article
Cite this article
Aksenova, E.V., Kuz’min, V.L. & Romanov, V.P. Coherent backscattering of light in nematic liquid crystals. J. Exp. Theor. Phys. 108, 516–534 (2009). https://doi.org/10.1134/S1063776109030157
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776109030157