Leila Tlebaldiyeva’s research while affiliated with Nazarbayev University and other places

In this work, by using the assumptions that wavelength is much smaller than charge separation distance of an electric dipole, which in turn is much smaller than a distance up to the point of observation, the new results for radiation of an electric dipole were obtained. These results generalize and extend the standard classical solution, and they indicate that under the above assumptions, the electric dipole emits both long‐range longitudinal electric and transverse electromagnetic waves. For a specific values of the dipole system parameters, the longitudinal and transverse electric fields are displayed. Total power emitted by electric and electromagnetic waves are calculated and compared. It was shown that under the standard assumption of charge separation distance being much smaller than wavelength, (a) classical solution correctly describes the transverse electromagnetic waves only; (b) longitudinal electric waves are nonnegligible; (c) total radiated power is proportional to the fourth degree of frequency and to the second degree of the charge separation distance; and (d) transverse component of our solution reduces to classical solution. In case wavelength is much smaller than charge separation distance, (a) the classical solution is not valid, and it overestimates the total radiated power; (b) longitudinal electric waves are dominant and transverse electromagnetic waves are negligible; (c) total radiated power is proportional to the third degree of frequency and to the charge separation distance; and (d) most of the power is emitted in a narrow beam along the dipole axis; thus, emission of waves is focused as with lasers.

In this paper, radiation due to standing wave currents were considered for the electric dipole. Assumptions that wavelength is much smaller than the dipole separation distance, which is in turn much smaller than the distance to the point of observation, were employed. Results indicate that the electric dipole, which now essentially is a linear antenna, emits both long range longitudinal electric and transverse electromagnetic waves. Two cases were considered: electric dipole with and without charge oscillations at its ends. Each case was further divided into two cases: with even and odd number of half-wavelengths. For specific values of the system, longitudinal electric and transverse electromagnetic waves, total radiated power, longitudinal to transverse power ratio and radiation resistance were calculated and depicted.

In this work we further advance theoretical investigation of radiation by the electric dipole under the assumption that wavelength is much smaller than charge separation distance of an electric dipole, which in turn is much smaller than a distance up to the point of observation. Specifically, two cases were considered. In the first case phase delay between oscillations of the charge magnitudes was taken into account. In the second case, opposite current wave travel direction was considered. These results generalize the classical solution for electric dipole radiation, and they show that under the above assumptions the electric dipole emits both long-range longitudinal electric and transverse electromagnetic waves. It was shown that if phase delay is included in the derivation for the radiation of the electric dipole with oscillating charge magnitudes, then classical solution used in most of the textbooks is invalid. For this case total power emitted by electric and electromagnetic waves are calculated and compared. It was shown that under the standard assumption that charge separation distance is much smaller than wavelength and non-zero phase delay between charge oscillations: a) classical solution incorrectly describes the radiation from the electric dipole; b) intensity of transverse electromagnetic waves are on par with intensity of longitudinal electric waves; c) total radiated power is proportional to the fourth degree of frequency. In case wavelength is much smaller than charge separation distance: a) the classical solution is invalid and it overestimates the total radiated power; b) longitudinal electric waves are dominant and transverse electromagnetic waves are negligible; c) total radiated power is proportional to the second degree of frequency.

In this work by using the assumptions that wavelength is much smaller than charge separation distance of an electric dipole, which in turn is much smaller than a distance up to the point of observation, the new results for radiation of an electric dipole were obtained. These results generalize and extend the standard classical solution, and they indicate that under the above assumptions the electric dipole emits both long-range longitudinal electric and transverse electromagnetic waves. For a specific values of the dipole system parameters the longitudinal and transverse electric fields are displayed. Total power emitted by electric and electromagnetic waves are calculated and compared. It was shown that under the standard assumption of charge separation distance being much smaller than wavelength: a) classical solution correctly describes the transverse electromagnetic waves only; b) longitudinal electric waves are non-negligible; c) total radiated power is proportional to the fourth degree of frequency and to the second degree of the charge separation distance; d) transverse component of our solution reduces to classical solution. In case wavelength is much smaller than charge separation distance: a) the classical solution is not valid and it overestimates the total radiated power; b) longitudinal electric waves are dominant and transverse electromagnetic waves are negligible; c) total radiated power is proportional to the third degree of frequency and to the charge separation distance; d) most of the power is emitted in a narrow beam along the dipole axis, thus emission of waves is focused as with lasers.