Inverse scattering in the presence of a reflecting plane. (21st December 2015)

• Record Type: Journal Article
• Authors: Solimene, Raffaele; Maisto, Maria Antonia; Pierri, Rocco
• Is Part Of: Journal of optics. Volume 18:Number 2(2016:Feb.)
• Publication Date: 2015-12-21
• Subjects: inverse scattering -- singular value decomposition -- inverse problems; 1315 -- 9440 T; Optics -- Periodicals; 535.05
• DOI: 10.1088/2040-8978/18/2/025603
• Languages: English
• ISSNs: 2040-8978

Abstract

Abstract: The role played by a reflecting plane embedded in the host medium in inverse scattering problems is dealt with for a scalar two dimensional configuration. To accomplish such a task, analytical arguments are developed to estimate the singular value decomposition (SVD) of the relevant scattering operator. This allows us to gather quantitative measures of the information that can be conveyed back from data to the unknown, to determine the so-called number of degrees of freedom (NDF) and to estimate the achievable resolution. The analysis highlights that the presence of reflections or scattering positively impacts the inverse scattering problem.