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Unconventional photonic gaps of a one dimensional photonic band gap structure

Ali M. Z.

Optica Applicata

2011

Vol. 41, nr 3

743--752

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.

Properties of the angular gap in one-dimensional periodic structures containing left-handed metamaterials

Ali M. Z.

Optica Applicata

2011

Vol. 41, nr 1

41--49

Wave propagation is investigated in one-dimensional periodic structures containing layers of left-handed metamaterials. For a special choice of parameters, an angular gap appears due to total internal reflection in a certain frequency region. This gap has been found insensitive to the polarization of light and the length scale of the periodic structure for linear wave propagation. We have studied phenomenon of bistability related to this gap for nonlinear wave propagation. As far as the sign of the Kerr nonlinearity is concerned, the said gap shows the same character as that related to the Bragg gap. It is further shown that the bistable character related to the gap is sensitive to the polarization of the incident radiation and length scale of the periodic structure.