Multiple scattering by random configurations of circular cylinders: second-order corrections for the effective wavenumber.
A formula for the effective wavenumber in a dilute random array of identical scatterers in two dimensions is derived, based on Lax's quasicrystalline 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.
Linton
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CM
Department of Mathematical Sciences, Loughborough University, Leicestershire LE11 3TU, United Kingdom.
Martin
P A
PA