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Kirillov, V. V.; Kopeykin, V. N.

doi:10.1023/a:1023525331531

Cited by 40 publications

(20 citation statements)

References 4 publications

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“…In [5,8], the models of capacitive and inductive height were developed for a waveguide formed by the Earth and the ionosphere. The capacitive height h C (θ, ϕ) is determined by the conductivity profile σ(r, θ, ϕ) of the ionosphere in the altitude range from the ground to about 70-80 km (in this altitude range, the complex permittivity tensor is close to the isotropic one):…”

Section: Methods Of a Two-dimensional Transmission-line Equationmentioning

confidence: 99%

“…The ionospheric component is determined in [8] by the matrix ionospheric impedance δ i (θ, ϕ) on the ground, which was obtained by solving the problem of normal incidence of plane waves to a horizontally homogeneous ionosphere from below. The properties of the ionosphere over the ground-surface point with the coordinates (θ, ϕ) are determined by the altitude profile of the complex permittivity.…”

Section: Methods Of a Two-dimensional Transmission-line Equationmentioning

confidence: 99%

“…Equation (4) with the homogeneous parameters found in such a way was solved in [8]. This solution is inapplicable at the distances from the point source, which are shorter than the scale of decay of the local waves, i.e., are of the order of Re h C , and has a complex form.…”

Section: Voltage Field In a Plane Quasi-homogeneous Anisotropic Wavegmentioning

confidence: 99%

“…In the general case, the integrals over the azimuthal variable cannot be reduced to the integral representation of the Hankel function. However, even in the anisotropic case, these integrals for the principal normal wave are reduced in [8][9] to the Hankel functions depending on a more complex argument. Thus, if one restricts the consideration to the field of the principal normal wave, i.e., to the approximation corresponding to the two-dimensional transmission line equation, then the problem of wave propagation in a plane homogeneous single-mode waveguide with arbitrary anisotropy is solved exactly, and the field in the waveguide is represented via the Hankel functions of a composite argument.…”

Section: Introductionmentioning

confidence: 99%

“…The authors of [8] also obtained the solution to the problem of radio wave propagation in a spherical waveguide with arbitrary anisotropy, but only in the case where the circumference of the great circle is short compared with the wavelength. For the Earth-ionosphere waveguide, this condition leads to a frequency restriction: the wave frequency cannot exceed 5 Hz.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Representation of the field of a point source in a spherical waveguide via a solution of the field problem in a plane waveguide

Kirillov

Pronin

2009

Radiophys Quantum El

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At present, it is almost impossible to take into account arbitrary anisotropy in the model of spherical waveguide for the problems of radio wave propagation. In this paper, we propose a method for calculation of the field in a single-mode spherical waveguide with arbitrary anisotropy, which is based on the solution of the problem of the field in a single-mode plane waveguide. This method can be applied to calculation of the electromagnetic field in the Earth-ionosphere waveguide at frequencies below 1 kHz at the distances from the source, which exceed the effective waveguide height, but do not exceed one quarter of the great circle. The method has been brought to the stage of software implementation. The plots of the field amplitude as a function of the distance to the source are presented.

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Section: Methods Of a Two-dimensional Transmission-line Equationmentioning

confidence: 99%

Section: Methods Of a Two-dimensional Transmission-line Equationmentioning

confidence: 99%

Section: Voltage Field In a Plane Quasi-homogeneous Anisotropic Wavegmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Representation of the field of a point source in a spherical waveguide via a solution of the field problem in a plane waveguide

Kirillov

Pronin

2009

Radiophys Quantum El

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Spectra and waveforms of ELF transients in the Earth‐ionosphere cavity with small losses

Nickolaenko

Hayakawa

2014

Radio Science

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Spectra and the waveforms are computed of the pulsed radio signals arriving from different distances to an observer in the Earth-ionosphere cavity with the single-scale exponential profile of air conductivity. The data were obtained for the cavity with exceptionally small losses. Spectra are compared of the signals in the realistic and an idealistic Earth-ionosphere cavities. The waveforms are computed for such cavities and the pulse propagation velocities are evaluated. Studies of the Schumann resonance started from the ideal cavity model. Subsequent works dealt with the realistic propagation parameters and the ionosphere models on the Earth and other planets. However, the case of small losses is missing in the literature. We model ELF radio signals in such a cavity and demonstrate their noticeable distinctions from the customary records. In particular, the sinusoidal signals do not appear in the cavity with small losses, and instead, we obtain the sharp and large pulses. Computations show that the waveform propagating in the spherical cavity expands in time and reduces in amplitude. The time domain pulsed amplitudes were found at the source antipode and at the source point for the round-the-world wave. The latter becomes rather small even in the cavity with minor losses, so that autotriggering is unrealistic of a consecutive lightning discharge by the round-the-world echo even in a cavity with minor losses.

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Ground‐based detection of sprites and their parent lightning flashes over Africa during the 2006 AMMA campaign

Williams

Lyons

Hobara

et al. 2010

Quart J Royal Meteoro Soc

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Sprites have been detected in video camera observations from Niger over mesoscale convective systems in Nigeria during the 2006 AMMA (African Monsoon Multidisciplinary Analysis) campaign. The parent lightning flashes have been detected by multiple Extremely Low Frequency (ELF) receiving stations worldwide. The recorded charge moments of the parent lightning flashes are often in excellent agreement between different receiving sites, and are furthermore consistent with conventional dielectric breakdown in the mesosphere as the origin of the sprites. Analysis of the polarization of the horizontal magnetic field at the distant receivers provides evidence that the departure from linear magnetic polarization at ELF is caused primarily by the day-night asymmetry of the Earth-ionosphere cavity.

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Untitled

Cited by 40 publications

References 4 publications

Representation of the field of a point source in a spherical waveguide via a solution of the field problem in a plane waveguide

Representation of the field of a point source in a spherical waveguide via a solution of the field problem in a plane waveguide

Spectra and waveforms of ELF transients in the Earth‐ionosphere cavity with small losses

Ground‐based detection of sprites and their parent lightning flashes over Africa during the 2006 AMMA campaign

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