V.V. Makhno

Electrodynamic analysis of carbon nanotube antenna

The solution of the boundary problem of diffraction and excitation of system of carbon nanotubes-vibrators is reduced to solving of the integral equation with a logarithmic kernel. After regularization, integral equations were solved by means of collocation method. The character of behavior of the current on the vibratorpsilas ends was considered. The existence of resonances at the frequency range 0.1-1.0THz was shown.

The properties of carbon nanotube-vibrator parallel to the dielectric-dielectric interface

Quantum-mechanical properties of carbon nanotube in the model are described by means of macroscopic parameter — surface impedance. Solving of the boundary problem for impedance vibrator was reduced to solving of Paired Integral Equations (PIE) in Fourier transformation of current on the vibrator. PIEs were solved by means of Galerkin method with Chebyshev basis. The influence of substrate on amplitude-phase characteristics of the nanotube antenna was investigated.

Application of the Method of Approximate Boundary Conditions for the Calculation of Metal Nanostructures

A mathematical model of the metal nanostructured diffraction gratings, based on application of the approximate boundary conditions for thin dielectric films, is developed. The adequacy of the developed model is confirmed by the comparison with the results obtained by rigorous methods. The opportunity of achieving a higher transmission coefficient across a wide range of wavelengths and angles of incidence is shown

Resonant absorbing diffraction gratings: Theoretical study

The novel optical metal-dielectric diffraction grating, which shows almost 100% absorption of all incident energy, was theoretically investigated. The effect is due to resonance of the surface wave, propagating along the metal/dielectric boundary (surface plasmonic resonance).

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 Galerkins 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.

Solution of the problem of electromagnetic pulses’ diffraction by variable separation method

Variable separation method (VSM) allows to obtain an analytical solution for a very small number of boundary problems of wavespsila scattering by metallic and dielectric bodies, but it can be used to construct numerical solution for a wide enough range of boundary problems. In the present work the wave equation was solved in cylindrical and spherical coordinate systems. Obtained results have methodical novelty and can be used as an alternative to present methods of solving of non-stationary problems of diffraction on two-dimensional bodies.

Investigation of Eigenwaves in Polaritonic Nanowaveguides

The problem of eigenwaves in three types of polaritonic waveguides is discussed. The dependence of losses on the sizes of the waveguides and period of the system is investigated. The possibility of low loss wave propagation is shown

Theoretical investigation of waves' propagation through periodical metal nanostructures

The problem of diffraction of electromagnetic waves through dielectric grating was solved. The method of integral equation was applied. The wavelength dependencies of the reflection, transmission and losses are given.

Using the method of effective permittivity for polariton waveguide investigation

The investigation of eigenwaves in 3-dimensional polaritonic structures was performed. The effective permittivity method was applied.