Multiple scattering by two impenetrable cylinders: semiclassical theory.
Scattering of waves and particles by two identical, impenetrable, and parallel cylinders is studied here. The characteristic determinant of the scattering matrices is expanded in terms of simple traces that are semiclassically evaluated in order to extract the periodic orbits. Generalized formulas are derived for all the contributions that are purely geometrical or composite (including a creeping section). All the scattering resonances, interpreted as periodic orbits, are in excellent agreement with the exact results. The scalar problem of scattering by two impenetrable cylinders can be considered as a canonical problem.
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