21 Nov 2005
21 Nov 2005
Chaotic ray propagation in corrugated layers
M. Bottiglieri1, S. De Martino2, M. Falanga2, and C. Godano1
M. Bottiglieri et al.
M. Bottiglieri1, S. De Martino2, M. Falanga2, and C. Godano1
- 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
- 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
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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.