ABSTRACT

The optical properties of a one-dimensional photonic crystal containing metamaterial are theoretically investigated in this chapter. Such one-dimensional photonic crystal is considered as a periodic structure containing dielectric and metamaterial. Zero-index gap and Bragg’s gap found in the structure are at low and high frequency ranges, respectively, by virtue of the metamaterial property in the one-dimensional photonic crystal. The transmittance of the zero-index gap is independent of the thickness of metamaterial and the angle of incidence. Defect, magnetized cold plasma, is symmetrically introduced in dielectric/metamaterial one-dimensional photonic crystal. The one-dimensional photonic crystal with symmetrically introduced magnetized cold plasma defect may be considered as right-hand polarization and left-hand polarization structures, where these polarizations in magnetized cold plasma have positive and negative values of the external magnetic field, respectively, that is, it can be obtained by changing the direction of the magnetic field. Using the well-known simple transfer matrix method (TMM), the transmittance, reflectance, and absorption spectra of the photonic crystal, with symmetrically introduced right-hand polarization/left-hand polarization defects, are studied with varying the most valuable parameters of magnetized cold plasma. The calculated optical properties show that the reflection property of the one-dimensional photonic crystal, with symmetrically introduced left-hand polarization defect for low magnetic field and high electron density of the magnetized cold plasma, may be used as a tunable broadband filter. The absorption of the one-dimensional photonic crystal with symmetrically introduced right-hand polarization defect is obtained high at 0.13–0.15 GHz frequency range inside the zero-index gap. However, the absorption of one-dimensional photonic crystal with left-hand polarization defect is found low at 1.8 GHz frequency at edge of the Bragg’s gap.