Fresnel zones on the screen
Goetgheluck, Pierre
Experiment. Math., Tome 2 (1993) no. 4, p. 301-309 / Harvested from Project Euclid
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For $\lambda$ real, we consider the pattern given by the value modulo 2 of the integer part of $\lambda(x^2+y^2)$, where $(x,y)\in\Z\times\Z$. We study the periodicity and other geometric properties of this pattern, and show that it can provide, by visual inspection and an elementary computation, a diophantine approximation for $\lambda$. We conclude with similar results for other moduli.
Publié le : 1993-05-14
Classification:  11Z05,  11J70,  78A05 
@article{1048516039,
     author = {Goetgheluck, Pierre},
     title = {Fresnel zones on the screen},
     journal = {Experiment. Math.},
     volume = {2},
     number = {4},
     year = {1993},
     pages = { 301-309},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1048516039}
}

Goetgheluck, Pierre. Fresnel zones on the screen. Experiment. Math., Tome 2 (1993) no. 4, pp.  301-309. http://gdmltest.u-ga.fr/item/1048516039/