Discrete scattering theory: Green’s function for a square lattice
نویسنده
چکیده
It is well known that, under certain circumstances, discrete plane waves can propagate through lattices. Waves can also be generated by oscillating one point in the lattice: the corresponding solution of the governing partial difference equations is the discrete Green’s function, gmn. The far-field behaviour of gmn is obtained using three methods: textbook derivations are corrected and a formula for gnn as a Legendre function is derived. The low-frequency behaviour of gmn is also obtained using Mellin transforms. These results are useful in the development of a discrete scattering theory. 2006 Elsevier B.V. All rights reserved.
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