Кафедра вищої математики (ВМ)

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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.
Radiation of accelerating pulses with specified envelopes
(ICATT, 2015) Nerukh, A. G.; Zolotariov, D. A.; Kuryzheva, O. V.
A problem for radiation of time accelerating electromagnetic pulses is considered in paraxial approximation. It is shown that the pulse envelope moves in the time-spatial coordinates on the surface of a cylinder, the parabolic one for the pulse in the form of Airy function and for the hyperbolic one for Gaussian. Each of the pulse propagates in time with deceleration along the dominant propagation direction and drifts uniformly in the lateral direction stopping at infinity.