Abstract

In this simulation work, we analyze a ternary photonic crystal composed of polymer, metamaterial and Silicon with the help of simple transfer matrix method. First, it is noted that there exist three regions for the metamaterial in the frequency range 0 –10 GHz, namely as DNG, SNG, and DPS regions. In this investigation, we focus on the effects of incident angle, metamaterial thickness and electromagnetic damping, on the EM wave transmission. From the transmittance spectra obtained by TMM, it is observed that a wide PBG exists covering all these three regions at normal incidence, and it is enhanced with increase in the incident angle. It is found that at oblique incidences, the gap gets splitted into two components due to the existence of a splitting transmission line similar to defect mode, whose transmission is highly increased up to 1 at an incident angle above 75°. It is demonstrated that the splitting frequency increases with increase in the incident angle exhibiting a blue shift. The increase is monotonic and nonlinear, where the increase is more for larger thickness of the metamaterial. Further, on comparing the results obtained with electric and magnetic damping cases, it is found that a linear decrease in the transmittance corresponding to the peak frequency in the magnetic loss is dominant over the electric loss, where the PBG shows least dependence on the electric and magnetic damping frequency. These insights of the paper may be exploited to fabricate metamaterial-based devices, split-ring resonators, sensors, microwave antennas, super-lenses, clocking, and switching devices.

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