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1993 Fresnel zones on the screen
Pierre Goetgheluck
Experiment. Math. 2(4): 301-309 (1993).


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.


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Pierre Goetgheluck. "Fresnel zones on the screen." Experiment. Math. 2 (4) 301 - 309, 1993.


Published: 1993
First available in Project Euclid: 24 March 2003

zbMATH: 0814.11035
MathSciNet: MR1281477

Primary: 11Z05
Secondary: 11J70 , 78A05

Rights: Copyright © 1993 A K Peters, Ltd.

Vol.2 • No. 4 • 1993
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