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Fiałkowski M, Bitner A, Grzybowski BA. Wave optics of Liesegang rings. Phys Rev Lett. 2005;94(1):018303doi: 10.1103/PhysRevLett.94.018303.
Fiałkowski, M., Bitner, A., & Grzybowski, B. A. (2005). Wave optics of Liesegang rings. Physical review letters, 94(1), 018303. https://doi.org/10.1103/PhysRevLett.94.018303
Fiałkowski, Marcin, et al. "Wave optics of Liesegang rings." Physical review letters vol. 94,1 (2005): 018303. doi: https://doi.org/10.1103/PhysRevLett.94.018303
Fiałkowski M, Bitner A, Grzybowski BA. Wave optics of Liesegang rings. Phys Rev Lett. 2005 Jan 14;94(1):018303. doi: 10.1103/PhysRevLett.94.018303. Epub 2005 Jan 11. PMID: 15698143.
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Phys Rev Lett. 2005 Jan 14;94(1):018303. doi: 10.1103/PhysRevLett.94.018303. Epub 2005 Jan 11.

Wave optics of Liesegang rings.

Physical review letters

Marcin Fiałkowski, Agnieszka Bitner, Bartosz A Grzybowski

Affiliations

  1. Department of Chemical and Biological Engineering, Northwestern University, 2145 Sheridan Rd., Evanston, IL 60208, USA.

PMID: 15698143 DOI: 10.1103/PhysRevLett.94.018303

Abstract

Liesegang rings refract and reflect at the interface between the regions of the same gel but of different thickness. The incident and the refracted rings obey a refraction law analogous to the Snell's law of classical optics, with a reverse of the spacing coefficient being a counterpart of the refraction index. The wavelike behavior of the rings at the interface is explained by geometrical arguments derived from the Jablczynski's spacing principle, and is reproduced in numerical simulations based on a three-dimensional minimalistic version of the nucleation-growth model.

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