Study on Abelian inversion of refractive index based on Bayesian algorithm

In this paper, Bayesian algorithm is applied to the Abel integral equation, and the bending angle data simulated by End-to-End Generic Occultation Performance Simulation and Processing System(EGOPS) is used to invert the atmospheric refractive index. The inversion results are compared with Tikhonov regularization. Bayesian algorithm and Tikhonov regularization inversion results have a good consistency when using the bending angle data obtained directly from the simulation(which is considered to be no errors), and their root mean square error are both 2.5470 x 10(-8). But in the process of actual observation, because of the influence of the ionosphere and the water vapor and so on, the bending angle data inevitably contains errors, which may produce high frequency components, or even discontinuous point, so the random noise which satisfies the Gaussian distribution is added into the original bending angle data, then the inversion experiment of refractive index is carried out. The results show that Bayesian algorithm has higher inversion precision than Tikhonov regularization technology.