1208.3539 (Ahmed Rebai et al.)

Ill-posedness formulation of the emission source localization in the radio-detection experiments of extensive air showers    [PDF]

Ahmed Rebai, Tarek Salhi, Pascal Lautridou, Olivier Ravel

Reconstruction of the curvatures of radio wavefronts of air showers initiated by ultra high energy cosmic rays is discussed based on minimization algorithms commonly used. Since the problem is ill-posed, it is shown that no algorithm among the latter is able to find a stable solution. We emphasize the importance of the convergence process induced by the minimization of a non-linear least squares function that affects the results in terms of degeneration of the solutions. We derive a simple method to obtain a satisfactory estimate of the location of the main point of emission source, which mitigate the problems previously encountered.

View original: http://arxiv.org/abs/1208.3539