The mechanism of the formation of passbands of electromagnetic waves in one-dimensional ordered or disordered structures containing single-negative metamaterials

We propose a mechanism of the formation of band structures of electromagnetic waves in one-dimensional periodic or nonperiodic systems containing single-negative metamaterials. The formation of passbands in these periodic systems is attributed to two factors, i.e., the existence of localized modes and ‘phase’ matching condition. It is completely different from the Bragg scattering. For the wave transmission in disordered systems, the two factors also play an important role. If they are satisfied, there are abnormal transmission behaviors of electromagnetic waves. It implies that the formation of passbands may not depend on periodic structures.