A solution to the Lippmann-Schwinger equation for the scattering of a plane wave by a spherical barrier is presented. The spherical barrier is described by a boundary-wall with coupling constant γ = γ(θ, f). A general method is presented, along with several possible examples for the coupling constant such as q sin and q cos dependencies, Janus particle and a ring-shaped surface. The exact scattering amplitude for the general case is also presented. RECEIVED
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.