Abstract
The propagation of a narrow-band shear wave in a smectic liquid crystal is studied. It is shown that the nonlinearity makes possible a random phase modulation. The temporal correlation function, the characteristic correlation time, and the width of the spectrum are calculated. The relation between the width of the spectrum, the intensity of the wave, and the distance traversed is determined. This makes it possible to determine the coefficient of cubic nonlinearity of a smectic liquid crystal (SLC) by measuring the relative increase of the width of the spectrum at an arbitrary point.
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Literature cited
E. I. Kats, Zh. Éksp. Teor. Fiz.,83, No. 4, 1376–1389 (1982).
G. Grinstein and R. A. Pelcovits, Phys. Rev. A,26, 915–921 (1982).
A. P. Kapustin and O. A. Kapustina, Acoustics of Liquid Crystals [in Russian], Moscow (1986).
V. G. Kamenskii, Zh. Éksp. Teor. Fiz.,92, No. 1, 97–104 (1987).
L. K. Zarembo and V. A. Krasil'nikov, Introduction to Nonlinear Acoustics [in Russian], Moscow (1966).
M. I. Rabinovich and D. I. Trubetskov, Introduction to the Theory of Oscillations and Waves [in Russian], Moscow (1984).
S. A. Akhmanov, Yu. E. D'yakov, and A. S. Chirkin, Introduction to Statistical Radio Physics and Optics [in Russian], Moscow (1981).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 61, No. 3, pp. 403–405, September, 1991.
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Erofeev, V.I. Noise shear waves in nonlinear smectic liquid crystal. Journal of Engineering Physics 61, 1095–1097 (1991). https://doi.org/10.1007/BF00872885
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DOI: https://doi.org/10.1007/BF00872885