We have recently extended the phase screen power law theory of ionospheric scintillation to include for the case where the refractive index irregularities follow a two-component inverse power law spectrum [paper to be submitted to Radio Sci, 2015]. A specific normalization was invoked to exploit the self-similar properties of the problem and achieve a universal scaling, such that different combinations of perturbation strength, propagation distance, and frequency produce the same results. Using this model, numerical quadrature was employed to obtain essentially exact solutions of the fourth moment equation governing the intensity variations resulting from propagation through two-dimensional field-aligned ionospheric irregularities. New asymptotic results for the strong scatter regime were developed and validated.
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