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Opticity of cholesteric liquid-crystalline compositions in the range of vibrational overtones and combination tones
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We investigated the features of the optical properties of magnetoactive cholesteric liquid crystals (CLCs) in an external static magnetic field. The boundary-value problem of light transmission through a finite layer of a magnetoactive CLC at normal light incidence and light reflection from a half-space is considered. We also investigated the evolution of the reflection with a change in the azimuth and ellipticity of the incident light. Some features of the reflection spectra, optical rotation, and polarization ellipticity, as well as the ellipticity spectrum of the eigen polarizations, are investigated, too. The peculiarities of the ellipticity evolution of the eigen polarizations due to a change in the magneto-optical activity parameter are considered.
In this report we derive a new method for obtaining the optical activity of helical polymers. Helical symmetry and periodic boundary conditions are applied to classical polarizability theory. This allows us to express the infinite polymer result in closed form. Our result is all order in intermonomer interactions, and gives the polymer circular dichroism bandshape in terms of monomer transition bandshapes. We also explicitly treat a complex unit of symmetry containing many optical transitions.
A general expression for the optical rotation of large helical polymers is developed. The assumption of periodic boundary conditions is shown to be valid. A major term in the optical rotation is found to be a direct result of the helical symmetry as reflected in the correct dipole selection rules.