Faculty and Student Publications
Document Type
Article
Publication Date
3-1-2019
Abstract
© 2019 Acoustical Society of America. A formalism of optical theorem extended for an arbitrarily shaped wave field is presented. The formalism concerns only time-harmonic scattering in free space. The theorem relates the extinction cross section to the imaginary part of the total scattering amplitude at the forward direction of the individual plane wave components multiplied by the corresponding plane wave amplitude in the angular spectrum of the incident wave. A differential extinction cross section is defined from the theorem. An alternative formalism relating the total cross section to plane wave scattering is also presented. Physical interpretation is provided and applications are discussed.
Relational Format
journal article
Recommended Citation
Zhang, L. (2019). Generalized optical theorem for an arbitrary incident field. The Journal of the Acoustical Society of America, 145(3), EL185–EL189. https://doi.org/10.1121/1.5092581