In this part, we develop an efficient algorithm for the computation of the complete transmitted and reflected electromagnetic fields in generic 2D arrays of carbon nanotubes (CNTs). The method relies on first approaching individual CNTs using an effective-boundary condition based on a proper quantum conductivity model. An exact eigenmode solution is obtained for this problem for both single-wall and multi-wall CNTs, which then is integrated with Floquet mode theory to handle periodic arrays of CNTs. The algorithm's convergence rate is accelerated using special methods and then applied to the analysis and design of various multi-layered CNT-based photonic crystals. It is shown that the proposed method can clearly demarcate the intrinsic resonances due to electronic transitions in individual CNTS and new sets of geometric resonances produced by the array environment. The algorithm can be used to analyze measured optical spectra of CNT composites and to design new optical bandgap devices.
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