Methods of simulation of electromagnetic wave propagation in the ionosphere with allowance for the distributions of the electron concentration and the Earth’s magnetic field

Ipatov, E. B.; Kryukovskii, A. S.; Lukin, D. S.; Palkin, E. A.; Rastyagaev, D. V.

doi:10.1134/s1064226914120079

Cited by 25 publications

(10 citation statements)

References 5 publications

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“…For analyzing the influence of large-scale artificial ionospheric irregularities whose parameters were determined experimentally by low-orbital radio tomography on the HF propagation conditions, we solved the ray tracing problem for the rays transmitted by the Sura facility. We used the extended bicharacteristic method for solving the eikonal equation [Kryukovskii et al, 2012;Ipatov et al, 2014]. The Hamiltonian bicharacteristic system of equations in this case has the following form:…”

Section: Experimental Setup and Data Processingmentioning

confidence: 99%

“…For analyzing the influence of large‐scale artificial ionospheric irregularities whose parameters were determined experimentally by low‐orbital radio tomography on the HF propagation conditions, we solved the ray tracing problem for the rays transmitted by the Sura facility. We used the extended bicharacteristic method for solving the eikonal equation [ Kryukovskii et al , ; Ipatov et al , ]. The Hamiltonian bicharacteristic system of equations in this case has the following form:

\begin{matrix} left \\ \frac{d \overset{true\to}{k}}{d t} = \frac{\partial ω^{2} ε}{\partial \overset{true\to}{r}} / \frac{\partial ω^{2} ε}{\partial ω} \\ \frac{d \overset{true\to}{r}}{d t} = (2 c^{2} \overset{true\to}{k} - \frac{\partial ω^{2} ε}{\partial \overset{true\to}{k}}) / \frac{\partial ω^{2} ε}{\partial ω}, \end{matrix}

where

\overset{r}{true}

is the radius‐vector of the observation point,

\overset{k}{true}

is the wave vector, ω is angular frequency of the radiated wave, t is the ray parameter,

ε ((), \overset{true\to}{r})

is the permittivity of the medium which is determined by the Appleton‐Hartree formula from electron density distribution obtained from the experiment, and the magnetic field is specified by the International Geomagnetic Reference Field model [ Thébault et al , ].…”

Section: Experimental Setup and Data Processingmentioning

confidence: 99%

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Radiotomography and HF ray tracing of the artificially disturbed ionosphere above the Sura heating facility

et al. 2016

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We present the results of the radiotomographic imaging of the artificial ionospheric disturbances obtained in the recent experiments on the modification of the midlatitude ionosphere by powerful HF radiowaves carried out at the Sura heater. Radio transmissions from low orbital PARUS beacon satellites recorded at the specially installed network of three receiving sites were used for the remote sensing of the heated ionosphere. We discuss the possibility to generate acoustic-gravity waves (AGWs) with special regimes of ionospheric heating (with the square wave modulation of the effective radiated power at the frequency lower than or of the order of the Brunt-Vaisala frequency of the neutral atmosphere at ionospheric heights during several hours) and present radiotomographic images of the spatial structure of the disturbed volume of the ionosphere corresponding to the directivity pattern of the heater, as well as the spatial structure of the wave-like disturbances, which are possibly heating-induced AGWs, diverging from the heated area of the ionosphere. We also studied the HF propagation of the pumping wave through the reconstructed disturbed ionosphere above the Sura heater, showing the presence of heater-created, field-aligned irregularities that effectively serve as "artificial radio windows."

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Section: Experimental Setup and Data Processingmentioning

confidence: 99%

\begin{matrix} left \\ \frac{d \overset{true\to}{k}}{d t} = \frac{\partial ω^{2} ε}{\partial \overset{true\to}{r}} / \frac{\partial ω^{2} ε}{\partial ω} \\ \frac{d \overset{true\to}{r}}{d t} = (2 c^{2} \overset{true\to}{k} - \frac{\partial ω^{2} ε}{\partial \overset{true\to}{k}}) / \frac{\partial ω^{2} ε}{\partial ω}, \end{matrix}

where

\overset{r}{true}

is the radius‐vector of the observation point,

\overset{k}{true}

is the wave vector, ω is angular frequency of the radiated wave, t is the ray parameter,

ε ((), \overset{true\to}{r})

Section: Experimental Setup and Data Processingmentioning

confidence: 99%

Radiotomography and HF ray tracing of the artificially disturbed ionosphere above the Sura heating facility

et al. 2016

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“…The influence of the ionosphere on the values ΔΦ of phase variation and on the angle of Faraday rotation is studied. Thus, when processing the SAR results, it is necessary to take into account the influence of the ionosphere at least at the level of the IRI model (Bova, Y., Kryukovskii, A. et al, 2016;Ipatov, E. et al, 2014).…”

Section: Discussionmentioning

confidence: 99%

Effects of Ionospheric Inhomogeneities on Remote Sensing of the Earth by Space‐Borne P‐Band SAR

et al. 2022

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“…In the general case, the decameter ionospheric radio channel is a complex multiply connected system [Mitra, 1947;Davies, 1990]. Due to significant anisotropy of the ionosphere, multiscale nature of irregularities, and features of radio wave propagation mechanisms, the diagnostics of the ionospheric channel is a great problem and is highly relevant [Kazantsev et al, 1967;Blagoveshchensky, Zherebtsov, 1987;Kurkin et al, 1993;Alimov et al, 1997;Kryukovskii et al, 2012, Kryukovsky et al, 2016Ipatov et al, 2014;Bova et al, 2019]. In particular, when assessing statistical characteristics of a decameter signal, a question arises about the shape of the spectrum of the channel's random irregularities.…”

Section: Introductionmentioning

confidence: 99%

“…Meanwhile, the problem of estimating statistical characteristics of the decameter signal in the ionospheric radio channel can be solved using a model of randomly inhomogeneous ionosphere with generalized (integral) features. In this regard, significant results have been obtained due to the introduction of concepts about the effective correlation ellipsoid that approximately describes random irregularities of the medium [Gusev, Ovchinnikova, 1980;Vologdin et al, 2007Vologdin et al, , 2012Afanasiev et al, 2009] and significantly simplifies analytical calculations of statistical moments of a signal. Although the ionosphere is a multiscale randomly inhomogeneous medium and features a power spectrum of ir-regularities, in some cases, when calculating the lowest moments of trajectory characteristics of a signal, we can use a Gaussian correlation ellipsoid of irregularities with effective parameters.…”

Section: Introductionmentioning

confidence: 99%

Diagnostics of the Stochastic Ionospheric Channel in the Decameter Band of Radio Waves

Afanasiev

Chudaev

2020

Solar-Terrestrial Physics

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We propose a method for direct diagnostics of a stochastic ionospheric radio channel. This method can recalculate probe signal characteristics into transmitted signal characteristics. We derive analytical equations of second-order statistical moments for trajectory characteristics of the main and probe signals propagating in a three-dimensional randomly inhomogeneous ionosphere. We take into account boundary conditions at signal transmission and reception points. As a model of random irregularities of permittivity of the ionosphere, we utilize the concept of a changing space-time correlation ellipsoid, which is self-consistent with spatial changes in the average ionosphere. Time fluctuations of random irregularities are taken into account by the hypothesis of frozen transfer. We use analytical relationships to calculate the expected statistical characteristics of decameter signals along oblique probing paths of the ionosphere. An operational numerical algorithmization of the formulas derived is proposed. We report results of numerical experiments to determine the expected phase variances, group delay, and Doppler frequency shift of the main signal on a given single-hop path, based on measurements of these characteristics of a probe signal on a secondary path. We demonstrate the efficiency of the proposed method for diagnosing statistical trajectory characteristics of a decameter signal along single-hop paths under conditions when ground points of transmission and reception of the main and probe signals are outside the vicinity of focusing points of the wave field.

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Methods of simulation of electromagnetic wave propagation in the ionosphere with allowance for the distributions of the electron concentration and the Earth’s magnetic field

Cited by 25 publications

References 5 publications

Radiotomography and HF ray tracing of the artificially disturbed ionosphere above the Sura heating facility

Radiotomography and HF ray tracing of the artificially disturbed ionosphere above the Sura heating facility

Effects of Ionospheric Inhomogeneities on Remote Sensing of the Earth by Space‐Borne P‐Band SAR

Diagnostics of the Stochastic Ionospheric Channel in the Decameter Band of Radio Waves

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