## Aspects of the linear and nonlinear development of equatorial spread F with application to ionospheric scintillation |

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Abramowitz and Stegun amplitude approximately assumed auxiliary parameter backscatter Basu bottomside changes of variables characteristic scale sizes collisional collisionless curve defined by expres density gradient density irregularities dispersion relation downleg data drift wave mode electric field electron equations equatorial spread F expressions GR F peak F region Figure l9 filtered Fourier Fresnel Gaussian gigahertz gigahertz frequencies help of expressions Hudson and Kennel hybrid in-situ incident wave indices integral ion viscosity ionosonde ionosphere isospectroid Kelley and Mozer linear long wavelength magnetic field magnetic field direction marginally stable boundary nonlinear observed obtained one-dimensional power perpendicular plotted in Figure power law power spectrum power-law spectral shape probe radar Rayleigh-Taylor instability Rayleigh-Taylor mode reference frame regime RMS phase fluctuation rocket Rufenach l975a satellite scintillation index screen theory short wavelength sion spectral density spectral index steep edges steep gradients tion upleg values velocity wave number wavelength wavelength irregularities Woodman