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Golden spirals as phyllotactic arrangements of optical patterns

F. Haudin^1,2 and S. Residori¹

¹INLN, Université de Nice-Sophia Antipolis, CNRS, 1361 route des Lucioles 06560 Valbonne, France
²Nonlinear Physical Chemistry Unit, Faculté des Sciences, CP 231, Université Libre de Bruxelles (ULB), 1050 Brussels, Belgium

Phys. Rev. E 87, 020901(R) – Published 8 February, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.020901

Abstract

A nonlinear optical medium with nonlocal feedback is shown to have all the necessary ingredients to simulate a growthlike process that generates golden spirals and phyllotactic patterns. Elementary droplets of light are generated by the optical nonlinearity whereas the combination of rotation and translation in the feedback loop geometrically distributes them on spiraling patterns. The symmetry of the geometrical arrangements is described with the help of a simple replication algorithm.

Article Text

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