Corrugated waveguide under scaling investigation

Details Corrugated waveguide under scaling investigation Corrugated waveguide under scaling investigation

2009-03-10

arxiv.org/abs/0903.1837v1

Phys. Rev. Lett. 98, 114102 (2007) [4 pages]

Nonlinear Sciences

Chaotic Dynamics

A complete list of my papers can be found in: http://www.rc.unesp.br/igce/demac/denis/

Scientific paper

10.1103/PhysRevLett.98.114102

Some scaling properties for classical light ray dynamics inside a periodically corrugated waveguide are studied by use of a simplified two-dimensional nonlinear area-preserving map. It is shown that the phase space is mixed. The chaotic sea is characterized using scaling arguments revealing critical exponents connected by an analytic relationship. The formalism is widely applicable to systems with mixed phase space, and especially in studies of the transition from integrability to non-integrability, including that in classical billiard problems.

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