Study of a cylindrical fiber cored by a double twisted chiral nematic.

We study a region of the space where an electromagnetic field is propagating within a waveguide consisting of a material having double helix as found in some chiral nematic materials such as blue phases. We establish the electromagnetic equation governing the dynamics of the propagating modes. We found the band structure of the mentioned modes, the profiles field amplitudes and the Poynting vector distributions versus the radius of the fiber. We discuss the composition and conditions for the modes to propagate.