Pavel V. Makhno

The work describes the use of spherically bent microchannel plates for X-ray optics, shows focusing parameters of such plates in X-ray and results of comparison of experimental data and theoretical calculations of angular distribution parameters and the focusing properties of the excited fluorescent radiation.

The angular distribution of the X-ray intensity at the exit of microchannel plates at grazing incidence of monochromatic radiation on the walls of microcapillaries has been investigated. The angles and energies of the primary radiation quanta at which the synchrotron beam excites X-ray fluorescence propagating inside polycapillary structures have been determined. The angular dependences of the intensity distribution of X-rays transmitted through the microcapillaries have been studied theoretically and experimentally for energies corresponding to the region of anomalous dispersion near the L_2,3 absorption edges of silicon. The propagation of waves in hollow polycapillary waveguides, the excitation of X-ray fluorescence, and the X-ray diffraction at the exit of microchannel plates have been modeled mathematically. The mathematical model takes into account the presence of a transition layer on the microchannel surface.

Frequency-selective surfaces (FSS) of optical and microwave wavelength ranges are one-dimensional (1-D) and two-dimensional (2-D) diffraction gratings (DGs). Optical FSSs are used in development of solar cells, different sensors, effective light-emitting devices, high-definition cameras etc.

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Electrodynamics models and radiophysical properties of carbon nanotube-dipoles (isolated on the substrate lattices), metallic optical antennas and optical antennas, formed from ZnO nanorods coated with metal films were developed and investigated. The models are based on numerically analytical solution of integrodifferential equations describing the diffraction of electromagnetic waves on impedance and dielectric bodies. The use of integral representations of the kernels of integrodifferential equations allowed us to overcome the difficulties of solution, associated with the singularity of kernels and to reduce the computation time by an order of magnitude.

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).

The effective method of carbon nanotubes antennas' parameters calculation has been developed. The frequency dependencies of input impedance of CNT in dielectric medium have been investigated. It is shown that an increase in the length of a nanotube length does not lead to the appearance of resonances in the centimeter wavelength range.

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.