Derivation of aurora scaling parameters from ground-based imaging observations: Numerical tests

Statistics – Computation

Scientific paper

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Magnetospheric Physics: Auroral Phenomena (2407), Computational Geophysics: Data Analysis: Algorithms And Implementation, Nonlinear Geophysics: Scaling: Spatial And Temporal (1872, 1988, 3265, 3270, 4277, 7857), Magnetospheric Physics: Magnetosphere/Ionosphere Interactions (2431), Ionosphere: Particle Precipitation

Scientific paper

In the study of scaling properties of auroral luminosity variations by ground-based imaging observations, a problem arises that the actual scaling characteristics are distorted because of contributions to images from extension of auroral structures along the geomagnetic field. The field-aligned trends come into play for whatever small deviations from the magnetic zenith, making questionable the appropriateness of ground imaging data for investigation of turbulence signatures in aurora. In order to clear up how to correct for this effect, we have modeled the distortions, stemming from aspect angle broadening, for synthesized self-similar fluctuations with known scaling characteristics in the plane perpendicular to the magnetic field. Both narrow and wide field-aligned profiles of luminosity were considered. Three estimators for deriving scaling parameters were applied, including the wavelet estimator, dyadic filter estimator, and standard deviation statistical estimator, of which the wavelet estimator is shown to be most robust. The formulas are presented that relate the observed scaling characteristics with the true ones for the case of aurora being observed near magnetic zenith.

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