Reconstruction of a defect in an open waveguide

The paper is concerned with the reconstruction of a defect in the core of a two-dimensional open waveguide from the scattering data.Since only a fnite numbers of modes can propagate without attenuation inside the core,the problem is similar to the one-dimensional inverse medium problem.In particular,the inverse problem sufers from a lack of uniqueness and is known to be severely ill-posed.To overcome these difculties,we consider multi-frequency scattering data.The uniqueness of solution to the inverse problem is established from the far feld scattering information over an interval of low frequencies.

The paper is concerned with the reconstruction of a defect in the core of a two-dimensional open waveguide from the scattering data. Since only a finite numbers of modes can propagate without attenuation inside the core, the problem is similar to the one-dimensional inverse medium problem. In particular, the inverse problem suffers from a lack of uniqueness and is known to be severely ill-posed. To overcome these difficulties, we consider multi-frequency scattering data. The uniqueness of solution to the inverse problem is established from the far field scattering information over an interval of low frequencies.