Abstract-In this paper, we use the Bloch theorem and transfer matrix method to calculate the dispersion relation of a ternary 1D photonic crystal with left-handed materials. Then, we obtain the total omnidirectional reflection band gaps of this structure. We demonstrate that the omnidirectional reflected frequency bands are enlarged in comparison with ordinary materials with positive index of refraction.
In this paper, we investigate the variation of band gap width in a ternary 1D photonic crystal with a left--handed layer versus variation of thicknesses and refractive index of second layers. We study these variations in two states, normal and oblique incidents for both TE and TM polarizations. We observe that the variations of band gap width versus thickness of layers are sensitive to the refractive index of second layers. For oblique incident both of variations are shifted towards the large/small frequencies by increasing the incident angles in TE/TM polarization, respectively.
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