Corrugated waveguide under scaling investigation

Abstract

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.

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

References in corpus (7)

• The Fermi-Ulam Accelerator Model Under Scaling Analysis
• Quantum transport through ballistic cavities: soft vs. hard quantum chaos
• Periodic Chaotic Billiards: Quantum-Classical Correspondence in Energy Space
• Quantum-classical correspondence for local density of states and eigenfunctions of a chaotic periodic billiard
• Direct Scattering Processes and Signatures of Chaos in Quantum Waveguides
• Chaotic Properties of the Elliptical Stadium
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Cited by in corpus (6)

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• Statistical properties of a dissipative kicked system: critical exponents and scaling invariance
• Dynamical properties of a dissipative discontinuous map: A scaling investigation
• A New Approach To The Treatment Of Separatrix Chaos And Its Applications
• Application of the diffusion equation to prove scaling invariance on the transition from limited to unlimited diffusion
• The Lévy Map: A two-dimensional nonlinear map characterized by tunable Lévy flights