Exact S-matrix for N-disc systems and various boundary conditions: I. Generalization of the Korringa-Kohn-Rostoker-Berry method

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, , Citation Y Decanini et al 1998 J. Phys. A: Math. Gen. 31 7865 DOI 10.1088/0305-4470/31/39/005

0305-4470/31/39/7865

Abstract

Scattering of waves and particles from N discs fixed in a plane is studied. Various boundary conditions on the scatterers, corresponding to mesoscopic quantum physics, acoustics or electromagnetism, are considered. An exact formalism allowing us to calculate the S-matrix, its scattering resonances and far-field form functions is developed for systems with discrete , and symmetries. It extends the Korringa-Kohn-Rostoker method developed in the context of solid state physics and generalizes the works of Berry and of Gaspard and Rice in quantum chaos.

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10.1088/0305-4470/31/39/005