We present a scheme to realize the zero-n gap and the zero-oeff gap in a one dimensional photonic band gap structure containing metamaterials. The electric permittivity and the magnetic permeability of the layers of the structure are represented by the Drude model and the resonant model. In a certain frequency range, the chosen structure behaves as a structure of alternate double negative and double positive layers to exhibit a zero-n gap. In another frequency range, it behaves as a structure of alternate permittivity negative and permeability negative layers to exhibit a zero-oeff gap. Some properties and benefits of having the zero-n and the zero-oeff gap in the same physical system are discussed.
Reflective and transmitting properties of several layers of double-periodic arrays are studied. In the arrays, elements are conducting inclusions of various shapes. It is shown that in tbese structures all the phenomena recently found in dense wire grids with periodical defects (so-called photonic band gap structures) can be observed and explained in simple terms of inter-layer and inclusion resonances. Frequency-selective (with two and more stop bands) and polarization transformation properties of these arrays are demonstrated.
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