Optical response of a photonic crystal waveguide that includes a dispersive left-handed material

This work considers a photonic crystal waveguide composed of two periodic, perfectly conducting, rippled surfaces that involves a dispersive left-handed material. An integral numerical method was applied to determine the intensity field of its electromagnetic modes under TM polarization. We found that the variation of the ripple amplitudes makes it possible to obtain an electromagnetic surface mode. Moreover, the manifestation of classical chaotic dynamics in the corresponding proposed electromagnetic system gives rise to an electromagnetic chaotic behaviour.