An analytical numerical solution method of the refraction inverse problems

Abstract

An analytical numerical method with the usage of ground measurements of the refraction angle is suggested for reconstructing the refractive index profile of spherical layered tropospheric environments. In this method, the original refraction inverse problem is reduced to the integral equation of the first kind with the self-adjoint positive definite compact operator. A numerical algorithm of solving this equation has been developed on the basis of the Lavrent'ev (1980) /spl alpha/-regularization method and tested on standard and biexponential tropospheric models.