Anchoring effects on the propagation of modes in a blue phase cylindrical fiber

Normal linear propagating modes within a cylindrical wave guide filled with a blue phase liquid crystal are studied. This system is surrounded by a dielectric cladding and it is submitted to soft anchoring boundary conditions. iThe axis of the two dimensional helical structure of the blue phase is taken parallel to the cylindrical

wave guide axis.

The presence of the blue phase is characterized by the equilibrium equations for this texture resulting from the minimization of the free energy density. Alongside with these, Maxwell's equations under the presence of a blue phase are considered and the coupled governing equations are written and solved. 

With this, it is possible to obtain blue phase configurations parameterized for different anchoring energies from which the band structure and electromagnetic fields associated to these textures are calculated.