Inverse scattering of acoustic waves in an ocean with ice cover

Abstract

The inverse scnttcring problem for an acoustic wave guide is considered Thc wave guide is covered by an ice cover, which is modeled by a thin elastic plnte. The aluthors prove that the eigenfunctions of the Sturum-Lioiville problem in the cross- section from a basis of an appropriate llilbert spac. Using the eigenfunctions, the authors construct the out- going Green's function for unperturbed ocean, which is important in discussion of inverse problems, The uniquness of the solutions for the inverse problem is proved for all frequencies except for a discret sct. An algorithm of recconstruction of the scatterer is presented.

Keywords:

• inverse scattering
• wave guides with ice cover
• uniquness
• Strum-Liouville problem

Additional information

Notes on contributors

Boris Belinskiy

Jerald P. Dauer

Yongziii Xu