Abstract

We propose and analyze a graphene electromagnetic filter for the terahertz (THz) region. The filter represents a planar square array of graphene elements. A unit cell of the array is formed by two coaxial graphene rings placed on the opposite sides of a thin dielectric substrate. The two electromagnetically coupled rings resonate with dipole plasmonic modes. The rings have slightly different dimensions and consequently different yet close individual resonant frequencies. At a frequency lying between these two resonances, the currents in the two interacting rings have opposite directions. This leads to a suppression of the reflected from the array waves and consequently to a high transmission through the array. For the chemical potential of the graphene μc=0.6eV, the calculated quality factor of this resonant mode is Q=5 at the frequency f=0.8THz. At this frequency, the reflection coefficient of the array equals 36dB and the transmission peak which is defined by the graphene losses is 1.8dB. We show that the frequency position of the transmission peak can be varied in a wide range by the graphene chemical potential.

© 2015 Optical Society of America

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