Bragg reflectors for cylindrical waves

A transfer matrix method is developed to calculate the electromagnetic fiel d in a dielectric structure with circular cylindrical symmetry. The equatio ns for the reflection and transmission coefficients of cylindrical waves fr om a single cylindrical boundary between two dielectrics and from a cylindr ical multilayered structure are obtained. For a single dielectric interface , enhanced reflection at small interface radii and the analogue of the Brew ster effect are predicted and investigated. The design of an optimized cyli ndrical Bragg reflector (CBR) for cylindrical waves is proposed and its opt ical properties are studied. It is found that the thicknesses of the layers in the CBR must be different, to provide the adjustment of the phase of th e wares, that are reflected from the interfaces at different radii.