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The interaction of a time-harmonic plane wave with a semi-infinite lattice of identical circular cylinders is considered, using a formulation that allows for cylinders of finite size that do not scatter isotropically. Multipole expansions and Graf&#39;s addition theorem are used to reduce the boundary value problem to an infinite linear system of equations. Applying the z transform and disregarding in...

Scattering by a semi-infinite lattice and the excitation of Bloch waves