An analytical direct matching procedure within the Kronig-Penney model applied to
analyze the dispersion behavior of the localized surface states supported in the surface of a semiinfinite
one-dimensional photonic crystals truncated with air. The photonic crystal containing
alternating layers of positive and negative media. In the case of the conventional indices, as the
incident light changes from normal to oblique incidence, the surface modes shifts into higher
frequencies. For this reason, the phenomenon of photonic band gap has been used only under a
narrow range of frequencies of light incident at a particular angle or in a particular angular range.
We have showed that by choosing some proper value for the PC parameters, zero and negative
dispersion of surface modes emerge in a large range of k|| , and, due to the different nature of the
band structure the surface modes are more localized compared to those appeared in the conventional
PC.
