Statistical Moments and Scintillation Level of Scattered Electromagnetic Waves in the Magnetized Plasma

Jandieri, G. V.; Ishimaru, Akira; Rawat, Banmali S.; Gavrilenko, V. G.; Kharshiladze, O.

doi:10.2528/pierc18030602

Cited by 7 publications

(5 citation statements)

References 20 publications

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“…, (6) where the pointed brackets indicate ensemble average, the asterisk complex conjugate, , is an arbitrary correlation function of electron density fluctuations. For practical purposes it is usually convenient to assume that all processes under consideration are ergodic, as well as stationary, in time, in which case the statistical average can be regarded as a time average.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

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Temporal Spectrum of a Scattered Electromagnetic Waves in the Conductive Collision Turbulent Magnetized Plasma

Jandieri¹,

Ishimaru

Rawat

et al. 2022

AEM

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Using WKB method the peculiarities of the temporal spectrum of an ordinary and extraordinary electromagnetic wave scattered in a weakly randomly inhomogeneous three-dimensional nonstationary and conductive magnetized plasma are investigated. On the basis of the stochastic differential transport equation for the frequency fluctuation the broadening and the displacement of the temporal spectrum for both waves are obtained for the polar terrestrial ionosphere. These statistical characteristics contains anisotropic parameters: velocity of a plasma stream, conductivities of the ionosphere, elongated electron density irregularities are characterized by the anisotropy factor and inclination angle with respect to the geomagnetic lines of forces. The analysis of the power spectrum of the waves as a function of the propagation distance and the nondimensional frequency parameter containing the carrier frequency and characteristic temporal scale of electron density fluctuations are carried out. Analytical and numerical calculations have shown that the terrestrial conductivity and anisotropy factors exert a substantial influence on evaluation of the temporal spectrum than the inclination angle. It was found that the wave spectrum increases initially as the square root of the propagation distance, but at large distances it approaches a limiting value. Statistical moments of a scattered ordinary and extraordinary waves do not depend on an absorption sign and valid for both absorptive and active media.

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Section: Formulation Of the Problemmentioning

confidence: 99%

“…This imposes any restrictions on the distance travelling by wave in random medium. Broadening and shift of maximum of the spatial power spectrum of scattered electromagnetic waves in the geometrical optics approximation were considered in [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Temporal Spectrum of a Scattered Electromagnetic Waves in the Conductive Collision Turbulent Magnetized Plasma

Jandieri¹,

Ishimaru

Rawat

et al. 2022

AEM

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“…Oscillations arise by Gaussian spectrum; power-law spectrum flattens these oscillations. and equation (12) for the spectral function (9). Applying (14) …”

Section: Numerical Calculationsmentioning

confidence: 99%

“…The scintillation level is estimated for different anisotropy factors and the orientation angle of elongated irregularities with respect to the static external magnetic field. Scintillation minimums of a temporal spectrum are calculated for different thicknesses of a plasma slab taking into account the movement of rigid irregularities and diffraction effects for scattered ordinary and extraordinary waves in turbulent magnetized plasma [9].…”

Section: Introductionmentioning

confidence: 99%

Power Spectra of Ionospheric Scintillations

Jandieri

Ishimaru

Rawat

et al. 2017

AEM

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Second order statistical moments of the phase fluctuations are obtained taking into account the boundary condition, diffraction effects and polarization coefficients of the ordinary and extraordinary waves. The variance and the correlation function are calculated for arbitrary 3D spectral function of electron density fluctuations containing both anisotropic Gaussian and power-law spectra; anisotropy coefficient and the orientation angle of elongated plasma irregularities. The phase scintillation index and the scintillation level are analyzed numerically. Maximum of the scintillation index for small-scale irregularities is in the interval 0.2-0.3 corresponding to the moderate scintillation intensity, within the weak-scatter regime. Splashes are revealed for different anisotropy factor of elongated largescale irregularities varying orientation angle with respect to the lines of force of geomagnetic field. Scintillation index is calculated for small-scale irregularities using the "frozenin" assumption and taking into account movement of rigid irregularities. Log-log plots of the power spectrum of the intensity fluctuations have the same minimums satisfying the "standard relationship" of scattered ordinary and extraordinary waves. It was shown that the normalized scintillation level growth in both non-fully-developed diffraction pattern and in transition zone increasing anisotropy factor. Rising orientation angle scintillation level decreases and splashes arises in fully developed scintillation region.

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“…Peculiarities of the second order statistical moments of scattered radiation in collision magnetized plasma using the ray (-optics) approximation have been investigated in [4]. Scintillation spectra of scattered ordinary and extraordinary waves in the turbulent collisionless magnetized plasma have been considered in [5]. Analytical and numerical calculations were carried out for the anisotropic Gaussian spectrum taking into account diffraction effects.…”

Section: Introductionmentioning

confidence: 99%

Second Order Statistical Moments of the Power Spectrum of Ionospheric Scintillation

George¹

2017

EARTH

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Paper considers some aspects of the relationship between scintillation level of scattered radiation and anisotropic plasma irregularities in the collision turbulent magnetized plasma. Analytical calculations are carried out using modify smooth perturbation method taking into account both diffraction effects and polarization coefficients of both ordinary and extraordinary waves. Correlation function and the wave structure function of the phase fluctuations are obtained for arbitrary correlation function of electron density fluctuations. Analytical and numerical calculations of the second order statistical moments are carried out for the anisotropic Gaussian correlation function taking into account both anisotropy factor and the inclination angle of the elongated plasma irregularities with respect to the external magnetic field. Scintillation level and the power spectrum of the intensity fluctuations are analyzed for different parameters characterizing anisotropic irregularities.

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Statistical Moments and Scintillation Level of Scattered Electromagnetic Waves in the Magnetized Plasma

Cited by 7 publications

References 20 publications

Temporal Spectrum of a Scattered Electromagnetic Waves in the Conductive Collision Turbulent Magnetized Plasma

Temporal Spectrum of a Scattered Electromagnetic Waves in the Conductive Collision Turbulent Magnetized Plasma

Power Spectra of Ionospheric Scintillations

Second Order Statistical Moments of the Power Spectrum of Ionospheric Scintillation

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