On Estimating the Laws of Radial Inhomogeneity in a Cylindrical Waveguide

摘要

The inverse problem about reconstruction of a function characterizing the variation of the elastic modulus in an inhomogeneous cylindrical waveguide according to information about the field of radial displacements in the far zone has been studied. A study has been carried out based on combining the Fourier transform and linearization method. Each step of the formed iteration process includes the solution of the direct problem based on the shooting method and the solution of a Fredholm integral equation of the first kind for finding the refining corrections for the sought function. The results of computational experiments are presented.