title: Green's function of radial inhomogeneous spheres excited by internal sources.
abstract: Green's function in the interior of penetrable bodies with inhomogeneous compressibility by sources placed inside them is evaluated through a Schwinger-Lippmann volume integral equation. In the case of a radial inhomogeneous sphere, the radial part of the unknown Green's function can be expanded in a double Dini's series, which allows analytical evaluation of the involved cumbersome integrals. The simple case treated here can be extended to more difficult situations involving inhomogeneous density as well as to the corresponding electromagnetic or elastic problem. Finally, numerical results are given for various inhomogeneous compressibility distributions.
authors.affiliation: School of Electrical and Computer Engineering, National Technical University of Athens, Athens 15773, Greece. zouros@mail.ntua.gr
authors.forename: Grigorios P
authors.initials: GP
authors.lastname: Zouros
authors.forename: Gerassimos C
authors.initials: GC
authors.lastname: Kokkorakis
mesh_terms: D000162:Acoustics; D003198:Computer Simulation; D004548:Elasticity; D055590:Electromagnetic Phenomena; D016014:Linear Models; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted; D010316:Particle Size; D011312:Pressure