SOME REMARKS ON THE VISIBLE POINTS OF A LATTICE

Authors
BAAKE M GRIMM U WARRINGTON DH
Citation
M. Baake et al., SOME REMARKS ON THE VISIBLE POINTS OF A LATTICE, Journal of physics. A, mathematical and general, 27(8), 1994, pp. 2669-2674
Citations number
13
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
8
Year of publication
1994
Pages
2669 - 2674
Database
ISI
SICI code
0305-4470(1994)27:8<2669:SROTVP>2.0.ZU;2-L
Abstract
We comment on the set of visible points of a lattice and its Fourier t ransform, thus continuing and generalizing previous work by Schroeder and Mosseri. A closed formula in terms of Dirichlet series is obtained for the Bragg part of the Fourier transform. We compare this calculat ion with the outcome of an optical Fourier transform of the visible po ints of the 2D square lattice.