An analytical numerical solution method of the refraction inverse problems

Author

Alekseev, G.A. ; Kusaykin, A.P. ; Poyedinchuk, A.Y.

Volume

2

fYear

2000

fDate

2000

Firstpage

586

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory, 2000. MMET 2000. International Conference on

Conference_Location

Kharkov

ISSN

1

Print_ISBN

0-7803-6347-7

Type

conf

DOI

10.1109/MMET.2000.890504

Filename

890504