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.
Inverse scattering in the presence of a reflecting plane
SOLIMENE, Raffaele;Maisto, Maria Antonia;PIERRI, Rocco
2015
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
