Selective reflection by helicoidal liquid crystals. results of an exact calculation using the 4 x 4 characteristic matrix method Academic Article uri icon

abstract

  • The exact calculation of the reflection from single domain aligned samples of helicoidal liquid crystals (SmC* or cholesterics) is performed using the 4 x 4 matrix formulation of Maxwell equations in anisotropic media. We show that the expansion, approximation up to the 1st order of Berreman and Scheffer, is not adequate to describe the real situation, especially concerning the short wavelength region (heights of peaks, number of branches in the reflection band and their dependence on the different parameters). Résumé On présente un calcul exact de la réflexion de la lumière par un échantillon orienté de cristal liquide hélicoïdal (SmC* ou cholestérique) en utilisant la formulation matricielle 4 x 4 des équations de Maxwell pour les milieux anisotropes. On montre que la méthode approximative de Berreman et Scheffer est inadéquate, spécialement en ce qui concerne la région des …

publication date

  • January 1, 1985