SCATTERING RESONANCES OF TWO- AND THREE CYLINDER SYSTEM

摘要

Scattering by two identical cylinders (discrete C_(2v) symmetry) and three identical cylinders located at the vertices of an equilateral triangle (discrete C_(3v) symmetry) is studied. The S-matrix is obtained from two sets of coefficients defining the partial waves and their gradients on the boundaries of the cylinders. The KKR method permits us easily to integrate symmetry considerations and to expand the partial wave φ_m and the S-matrix on the irreducible representations of the symmetry groups. Scattering resonances (poles of the S-matrix) are then numerically obtained and partially classified for the two- and three-cylinder systems presenting various boundary conditions.