Characterization of multiple reflections and phase space properties for a periodically corrugated waveguide

Mário R Silva, Diogo Ricardo da Costa, Edson D Leonel
2012 Journal of Physics A: Mathematical and Theoretical  
Dynamical properties for a beam light inside a sinusoidally corrugated waveguide are discussed in this paper. The beam is confined inside two mirrors: one is flat and the other one is sinusoidally corrugated. The evolution of the system is described by the use of a two-dimensional and nonlinear mapping. The phase space of the system is of mixed type therefore exhibiting a large chaotic sea, periodic islands and invariant KAM curves. A careful discussion of the numerical method to solve the
more » ... d to solve the transcendental equations of the mapping is given. We characterize the probability of observing successive reflections of the light by the corrugated mirror and show that it is scaling invariant with respect to the amplitude of the corrugation. Average properties of the chaotic sea are also described by the use of scaling arguments.
doi:10.1088/1751-8113/45/26/265101 fatcat:42evrk6lhfek7prgcirnkdiqsa