title: The integrated extinction for broadband scattering of acoustic waves.
abstract: In this paper, physical bounds on scattering of acoustic waves over a frequency interval are discussed based on the holomorphic properties of the scattering amplitude in the forward direction. The result is given by a dispersion relation for the extinction cross section which yields an upper bound on the product of the extinction cross section and the associated bandwidth of any frequency interval. The upper bound is shown to depend only on the geometry and the material properties of the scatterer in the static or low-frequency limit. The results are exemplified by permeable and impermeable scatterers with homogeneous and isotropic material properties.
authors.affiliation: Department of Electrical and Information Technology, Lund University, Box 118, S-221 00, Lund, Sweden. christian.sohl@eit.lth.se
authors.forename: Christian
authors.initials: C
authors.lastname: Sohl
authors.forename: Mats
authors.initials: M
authors.lastname: Gustafsson
authors.forename: Gerhard
authors.initials: G
authors.lastname: Kristensson
mesh_terms: D000162:Acoustics; D020342:Finite Element Analysis; D016014:Linear Models; D008962:Models, Theoretical; D011312:Pressure; D012542:Scattering, Radiation; D013997:Time Factors; D014732:Vibration