Abstract
Four-wave mixing with two circularly polarized counter-propagating waves inducing a helical birefringence structure can be used to measure a number of material parameters of a liquid crystalline medium. Application to a cholesteric substance is particularly interesting. A resonant effect is expected when the induced helix has a pitch coinciding with the natural helical pitch of the medium towards the isotropic → cholesteric transition. Field-induced shift in the transition temperature is also expected.
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References
See, for example, N. Bloembergen: InLaser Spectroscopy IV, ed. by H. Walther and K.W. Rothe. Springer Series Opt. Sci.21 (Springer, Berlin, Heidelberg, New York 1979) p. 340, and the references therein
J.R. Salcedo, A.E. Siegman, D.D. Dlott, M.D. Fayer: Phys. Rev. Lett.41, 131 (1978);
D.W. Phillion, D.J. Kuizenga, A.E. Siegman: Appl. Phys. Lett.27, 85 (1975)
D.S. Hamilton, D. Heiman, J. Feinberg, R.W. Hellwarth: Opt. Lett.4, 124 (1979)
G.A. Lyakhov: Zh. Eksp. Teor. Fiz.64, 786 (1972) [English translation: Soviet Phys. JETP37, 390 (1973)]
In general,\(Q_{kl} = \sum\limits_i {Q_{kl}^{(i)} } \), where eachQ (i) kl obeys a separate dynamic equation that describes the particular physical mechanism which inducesQ (i) kl
P.D. Maker, R.W. Terhune: Phys. Rev. A137, 801 (1965)
P.N. Butcher:Nonlinear Optical Phenomena (University Engineering Publications, Columbus, Ohio 1965)
C.W. Oseen: Trans Faraday Soc.29, 883 (1933);
H. de Vries: Acta Crystallogr.14, 219 (1951)
See, for example, J.W. Shelton, Y.R. Shen: Phys. Rev. A5, 1867 (1972);
J.W. Shelton: Ph. D Thesis, University of California at Berkeley (1971) unpublished
Bragg reflection of obliquely incident waves from a cholesteric has also been worked out by a number of authors. See, for example, R. Dreher, G. Meier: Phys. Rev.8A, 1616 (1973);
T.H. Sterling, C.F. Hayes: Mol. Cryst. Liq. Cryst.43, 279 (1977)
G.K.L. Wong, Y.R. Shen: Phys. Rev. A10, 1277 (1974)
P.D. de Gennes: Phys. Lett. A30, 454 (1969); Mol. Cryst. Liq. Cryst.12, 193 (1971)
See, for example, P. Sheng, E.B. Priestley: InIntroduction to Liquid Crystals, ed. by E.B. Priestley, P. Wojtowicz, and P. Sheng (Plenum Press, New York), p. 163
W. Helfrich: Phys. Rev. Lett.24, 201 (1970)