Geometric phase and o-mode blueshift in a chiral anisotropic medium inside a Fabry-P´erot cavity

Abstract

Anomalous spectral shift of transmission peaks is observed in a Fabry-P´erot cavity filled with a chiral anisotropic medium. The effective refractive index value resides out of the interval between the ordinary and the extraordinary refractive indices. The spectral shift is explained by contribution of a geometric phase. The problem is solved analytically using the approximate Jones matrix method, numerically using the accurate Berreman method, and geometrically using the generalized Mauguin-Poincar´e rolling cone method. The o-mode blueshift is measured for a 4-methoxybenzylidene-4 -n-butylaniline twisted-nematic layer inside the Fabry-P´erot cavity. The twist is electrically induced due to the homeoplanar-twisted configuration transition in an ionic-surfactant-doped liquid crystal layer. Experimental evidence confirms the validity of the theoretical model.