Diffraction of electromagnetic wave on finite carbon nanotube array perpendicular to interface of mediums

In preset work boundary problem of electromagnetic wave diffraction on array of carbon nanotubes - dipoles (CNT) is reduced to system of integro-differential equations (IDE). To avoid difficulties concerned with singularity as well as to reduce computation time kernels of these IDEs are presented in form of Fourier integral. The IDEs are solved by Galerkin´s method with Chebyshev basis. Influence of substrate on amplitude-frequency characteristics and radiation pattern of CNT are investigated. It is found while distance between CNTs decreases resonant frequency and magnitude of scattered field are increases.