Photonic gaps in one dimensional cylindrical photonic crystal that incorporates single negative materials

In this article, we theoretically study electromagnetic waves that propagate in one-dimensional cylindrical photonic crystals (1DCPC) containing single negative materials. We examine the optical properties of three gaps namely; the zero-effective phase (zero-phi), the zero-permittivity (zero-epsilon) and the zero-permeability (zero-mu). We calculate the optical reflectance for transverse electric(magnetic) TE(TM) polarizations using the transfer matrix method in the cylindrical coordinates. We study the effect of azimuthal mode number (m) and the starting radius on these gaps. The results show that the zero-mu (zero-epsilon) gap is found for TE(TM) polarization at frequency where mu(epsilon) changes its sign for m >= 1. The width of the gap increases by decreasing the starting radius or by increasing m, whereas the zero-phi gap remains invariant. In addition, we present a brief design of 1D-CPC that has a polarization-independent wide gap especially for high azimuthal mode number (m > 2). Our results can help improve the performance of microwave devices independent of the source wave polarization.