Перегляд за автором "Doroshenko, V. O."
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Публікація Integral transforms and the regularisation method in the time-domain excitation of open PEC slotted cone scatterers(IET Microwaves, Antennas and Propagation, 2021) Doroshenko, V. O.; Stognii, N. P.An initial‐boundary value problem for the transient electromagnetic field in the presence of a complicated‐shape scatterer is studied. The considered biconical zero‐thickness and perfectly conducting surface with periodic longitudinal slots has many special cases, each of which is of separate practical interest. A new analytical‐numerical technique is presented that is based on the Mehler–Fock integral transform and the method of analytical regularisation. The source of excitation of the slotted bicone is a radial electric dipole with an arbitrary time dependence on the field. The proposed method makes it possible to obtain an analytical and numerical solution of the problem to carry out a qualitative and numerical analysis, and to study the characteristic features of the main scattering. Due to the use of the method, the initial‐boundary value problem is reduced to a Fredholm type of the second kind system of linear algebraic equations (SLAE‐2). The dependences of the condition number on the problem parameters and the estimation of the SLAE‐2 convergence with larger truncation orders are given. The far‐field radiation patterns are plotted for various values of the problem parameters, the behaviour of the near field at the apex of the slotted cone is studied, and the regime of the slot wave propagation is analysedПублікація Mathematical Modeling of Radiation from a Periodical Multiple-Slot Superwide Antenna(2023) Doroshenko, V. O.; Stognii, N. P.Results of studying a model boundary value electromagnetic problem for a conical multi-element periodic structure in a rigorous formulation are presented. The problem solution method is based on using integral transformations and singular integral equations for the density of the induced surface current. The field distribution patterns in the wave zone are given in the case of exciting a cone with a longitudinal slot by pointed sources.Публікація Mathematical Modeling of the Radiation of a Conical Multiple-Element Antenna(2022) Doroshenko, V. O.; Stognii, N. P.The results of studying a model strict formulation problem of electric radial dipole excitation of a conical periodic multi-element structure are presented. It is shown that the solution of the considered problem is equivalent to the solution of the singular integral equation with a logarithmic singularity. Field distribution patterns and curves of the surface current density are given.Публікація Mathematical Modelling of Impulse Excitation of a Superwideband PEC Cone Antenna(2019 IEEE 8th International Conference on Advanced Optoelectronics and Lasers, CAOL*2019, 2019) Doroshenko, V. O.; Klimova, N. P.; Stognii, N. P.; Kostyn, Yu. D.The method for solving initial-boundary electromagnetic problems is proposed. It uses the Green’s function method and the Laplace and Meler-Fock integral transforms in a time domain. The model problem of special slotted cone antenna excitation is studied. Integral and series representation of electromagnetic field component are given.Публікація Modeling of Exiting Special Conical Multiple-Slot Srtucture(2022) Doroshenko, V. O.; Stognii, N. P.As a result of the studies of the model problem considered, it is shown that the problem of axisymmetric electric radial dipole excitation of a conical open structure, on the period of which there are conical strips and slots of different angular widths, is reduced to solving a singular integral equation with a logarithmic kernel. Based on the SIE numerical solution obtained in the case of one slot per period, a field distribution diagram depending on the angular width of the slot is given.Публікація Modeling the Electromagnetic Wave Diffraction on Conical Gratings Consisting of Zero-Thickness PEC Strips(2019 IEEE 8th International Conference on Advanced Optoelectronics and Lasers, CAOL*2019, 2019) Doroshenko, V. O.; Klimova, N. P.; Stognii, N. P.; Sova, G. V.The periodic gratings are effectively used for producing modern electronics and radio engineering equipment and complexes. The electromagnetic wave diffraction problem for cone gratings is considered. Impedance boundary conditions at cone structure are proposed. The problem of electromagnetic wave diffraction on cone gratings with imperfectly conducting strips is studied. Diagrams of electromagnetic field distribution are givenПублікація Singular Integral Equations in Mathematical Modeling of Exciting a Superwideband Antenna(2023) Doroshenko, V. O.; Stognii, N. P.The results of the study of a model problem of the interaction of the field of a point harmonic source with a periodic multi-slot conical structure are presented. Slots of different angular widths on the period are cut from the apex along the generatrices of the cone. The method for solving the boundary electrodynamics problem is based on the use of Debye potentials, Kontorovich-Lebedev integral transformations and singular integral equations with a logarithmic kernel. Graphical dependences of the Fourier coefficients of the components of the electromagnetic field and the diagram of the scattered field on the geometric parameters of an open conical surface are given.