Multiple scattering by random configurations of circular cylinders: second-order corrections for the effective wavenumber
preprintposted on 22.07.2005, 13:50 by Christopher LintonChristopher Linton, P.A. Martin
A formula for the effective wavenumber in a dilute random array of identical scatterers in two dimensions is derived, based on Lax's quasi-crystalline approximation. This formula replaces a widely-used expression due to Twersky, which is shown to be based on an inappropriate choice of pair-correlation function.
- Mathematical Sciences