The singular value decomposition of the far-zone scattering operator for weak strip-like scattering objects is studied under multiple view and/or multiple frequency illuminations. The aim is to highlight how such diversities impact the number of degrees of freedom (NDF) of the scattering problem. When the angles of incidence and/or frequencies vary within discrete finite sets, the singular values are analytically determined. It is shown that they exhibit a multistep behavior. For the continuous case, upper and lower bounds are found, which allows us to obtain estimations for the NDF dependending on the parameters of the configuration.
© 2013 Optical Society of America
Original Manuscript: June 5, 2013
Revised Manuscript: September 1, 2013
Manuscript Accepted: September 19, 2013
Published: October 11, 2013
Raffaele Solimene, Maria Antonia Maisto, and Rocco Pierri, "Role of diversity on the singular values of linear scattering operators: the case of strip objects," J. Opt. Soc. Am. A 30, 2266-2272 (2013)