Title :
An analytical numerical solution method of the refraction inverse problems
Author :
Alekseev, G.A. ; Kusaykin, A.P. ; Poyedinchuk, A.Y.
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) α-regularization method and tested on standard and biexponential tropospheric models
Keywords :
electromagnetic wave refraction; inhomogeneous media; integral equations; inverse problems; radiowave propagation; refractive index; tropospheric electromagnetic wave propagation; α-regularization method; Earth troposphere; analytical numerical solution method; biexponential tropospheric models; ground measurements; integral equation; numerical algorithm; radiowave propagation conditions; refraction angle; refraction inverse problem; refraction inverse problems; refractive index profile reconstruction; self-adjoint positive definite compact operator; spherical layered tropospheric environment; Earth; Equations; Geometrical optics; Goniometers; Inverse problems; Optical propagation; Optical refraction; Optical sensors; Signal analysis;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2000. MMET 2000. International Conference on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-6347-7
DOI :
10.1109/MMET.2000.890504
