Photonic Crystals Based on Periodic Arrays of MWCNTs: Modeling and Simulation

Abstract

Based on existing model for dielectric function of an effective medium in response to H-polarized (TE) mode, we have developed a new comprehensive analytic model for dielectric function (ε <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">TE</sub> ) of an individual multi-wall carbon nanotube (MWCNT) that satisfies the Kramers-Kronig relation. Taking advantage of this model and utilizing the 2D Finite difference time domain (FDTD) method we have calculated the photonic response of β-aligned ordered arrays of MWCNTs to TE mode, over the frequency range of 0.5-10 PHz. Dependence of the photonic response on the lattice periodicity, CNTs' inner and outer radii, and the lattice orientation with respect to the propagation direction have been studied, systematically. Furthermore, using an existing model for ε <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">TM</sub> , similar dependencies for the photonic response to E-polarized (TM) mode, have also been obtained. The numerical results can be used in designing photonic devices applicable in the range of near to deep UV, such as filtering, switching, superlensing, plasmonic antennas, and optical sensors.