Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Spatially Extended Dynamical Systems

DY 29.3: Talk

Thursday, March 25, 2010, 14:30–14:45, H46

Chaotic spatial soliton rays in smooth two-dimensional optical lattices — •Ramaz Khomeriki^1,2,3 and Jerome Leon³ — ¹Max-Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany
— ²Department of Physics, Tbilisi State University, 3 Chavchavadze, 0128 Tbilisi, Georgia
— ³Laboratoire de Physique Théorique et Astroparticules, Université Montpellier 2, Montpellier, France

The light ray of a spatial soliton in an optical film whose refractive index is smoothly modulated (wavelength much larger than the typical soliton width) in both spatial directions is shown to possess chaotic regimes for which the propagation is erratic. This is interpreted as a parametric driven pendulum, obtained by what we believe to be a new perturbative approach of the Maxwell equation. These findings are then demonstrated to compare well to the eikonal law of light ray propagation (nonlinearity compensates diffraction).
REFERENCES:
R. Khomeriki, J. Leon, Phys. Rev. A, 80, (2009) 033822
R. Khomeriki, J. Leon, Optics Letters, 34, (2009) 3376