Second Order Statistical Moments of the Power Spectrum of Ionospheric Scintillation

Jandieri George

doi:10.11648/j.earth.20170606.16

Abstract

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.

Highlights

Many excellent reviews and books of scintillation theory and observations [1, 2] have been published
Statistical moments of the spatial power spectrum of multiple scattered ordinary and extraordinary waves in the turbulent collision magnetized plasma with aligned anisotropic electron density irregularities were investigated in [6, 7] using the modify smooth perturbation method
Scintillation level and the power spectrum we investigate for two frequencies of an incident electromagnetic waves 3 MHz ( k0 = 6.28⋅10−2 m−1 ) and 40 MHz ( k0 = 0.84 m − 1 )

Summary

Introduction

Many excellent reviews and books of scintillation theory and observations [1, 2] have been published. 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]. Statistical moments of the spatial power spectrum of multiple scattered ordinary and extraordinary waves in the turbulent collision magnetized plasma with aligned anisotropic electron density irregularities were investigated in [6, 7] using the modify smooth perturbation method. Analytical and numerical calculations are carried out for the anisotropic Gaussian spectral function containing important experimentally measured parameters: anisotropy factor and slope angle of elongated plasma irregularities with respect to the lines of force of geomagnetic field. Jandieri George et al.: Second Order Statistical Moments of the Power Spectrum of Ionospheric Scintillation

Statistical Moments of Scattered Radiation in the Ionospheric Plasma

Numerical Calculations

Conclusion