Abstract
We have calculated the reflectance and transmittance of obliquely incident circularly polarized light on a distorted cholesteric elastomer slab distorted. The distortion is achieved by variations of the chiral order parameter, which is defined as the imprinting efficiency of the volume fraction of the absorbed molecules from the racemic solvent, having the preferably absorbed chirality. We have found a right-handed band reflection whose bandwidth increases and blue-shifts as incidence angle increases. A thinner left-handed band reflection also is observed. The slab be used in a chemically controlled optical filter or optically traced chiral pump.
Highlights
The interest in the separation of enantiomers of organic compounds has been recently increased in the food, medicine and cosmetic industries
The 4 × 4 matrix can be factorized as A ′ = B(z) · A · B(−z) where the 4×4 matrix
The matrix involved S in Eq(23) is known as the scattering matrix and contains the same information of the transfer matrix but order in different way. It can be straightforwardly shown by writing explicitly the algebraic equations defined by Eq(21) and solving them for tR, tL, rR and rL that both matrices are related by the expression
Summary
The interest in the separation of enantiomers of organic compounds has been recently increased in the food, medicine and cosmetic industries. As it is well know, the chirality is extremely important for living systems, because most of the biomolecules are chiral ones. Limonene has an orange smell whereas the opposite enantiomer smells like lemon [1].This exemplifies the fact that separation of molecules by chirality is an important process in biochemistry and in the pharmaceutical industry. Liquid crystal elastomers combine the rubbery elastic properties with the liquid crystals (LC) anisotropy [2] When these stiff molecules are joined to a large and flexible polymer chain, they leave their muddy liquid macroscopic form and acquire the appearance of a rubbery network.
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