Chaotic ray propagation in corrugated layers

Bottiglieri, M.; De Martino, S.; Falanga, M.; Godano, C.

doi:https://doi.org/10.5194/npg-12-1003-2005

Articles | Volume 12, issue 6

Nonlin. Processes Geophys., 12, 1003–1009, 2005

https://doi.org/10.5194/npg-12-1003-2005

© Author(s) 2005. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Nonlin. Processes Geophys., 12, 1003–1009, 2005

https://doi.org/10.5194/npg-12-1003-2005

© Author(s) 2005. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Articles | Volume 12, issue 6

21 Nov 2005

Chaotic ray propagation in corrugated layers

M. Bottiglieri¹, S. De Martino², M. Falanga², and C. Godano¹ M. Bottiglieri et al.

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¹Environmental Department, Second University of Naples, via Vivaldi 43, 81100 Caserta and CNISM, Italy
²Physics Department, University of Salerno, via S. Allende, 84081 Baronissi Salerno and INFN -- Gruppo collegato di Salerno, Italy

Abstract. The aim of this paper is to study the effects of a corrugated wall on the behaviour of propagating rays. Different types of corrugation are considered, using different distributions of the corrugation heights: white Gaussian, power law, self-affine perturbation. In phase space, a prevalent chaotic behaviour of rays, and the presence of a lot of caustics, are observed. These results entail that the KAM theorem is not fulfilled.