Experimental evidence of chaotic behavior in the dynamic diffraction pattern of a dye doped nematic film
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedad Mexicana de Física A.C.
2006
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| _version_ | 1876454266821935104 |
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| author | F.L.S. Cuppo |
| author_facet | F.L.S. Cuppo |
| contents | Experimental evidence of chaotic behavior in the dynamic diffraction pattern of a dye doped nematic film F.L.S. Cuppo R.F. Rodríguez J.A. Olivares J.A. Reyes F. Vidal Caballero Física, Astronomía y Matemáticas Chaos diffraction liquid crystals thermal effects We report on the experimental observation of chaotic behavior in the diffraction pattern of a homeotropically aligned nematic mixture. The heating effect of a linearly polarized laser beam induces the formation of an isotropic droplet at the centre of the beam. The joint action of the beam with a superimposed low frequency electric AC field produce a complex dynamics of the diffraction pattern. It undergoes a sequence of dynamical regimes occurring for well-defined threshold values of the beam’s power, and the frequency and amplitude of the AC field. We measure a time series of intensity vs. time for a fixed location in the pattern. By using the algorithm of Wolf et al [1] we determine the largest non-negative Lyapunov exponent λ1 directly from the experimental time series, rather than analyzing the equations of motion of the system. The determined values of λ1 indicate chaotic behavior of the diffraction pattern for the unstable regime. The analysis of the time series suggests that the system follows a route to chaos through period doubling. Furthermore, from the calculated values of the correlation dimension, it was possible to identify this behavior as deterministic chaos. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028296006 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.52 |
| format | Artículo científico |
| id | redalyc_57028296006 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Experimental evidence of chaotic behavior in the dynamic diffraction pattern of a dye doped nematic film F.L.S. Cuppo Física, Astronomía y Matemáticas Chaos diffraction liquid crystals thermal effects Experimental evidence of chaotic behavior in the dynamic diffraction pattern of a dye doped nematic film F.L.S. Cuppo R.F. Rodríguez J.A. Olivares J.A. Reyes F. Vidal Caballero Física, Astronomía y Matemáticas Chaos diffraction liquid crystals thermal effects We report on the experimental observation of chaotic behavior in the diffraction pattern of a homeotropically aligned nematic mixture. The heating effect of a linearly polarized laser beam induces the formation of an isotropic droplet at the centre of the beam. The joint action of the beam with a superimposed low frequency electric AC field produce a complex dynamics of the diffraction pattern. It undergoes a sequence of dynamical regimes occurring for well-defined threshold values of the beam’s power, and the frequency and amplitude of the AC field. We measure a time series of intensity vs. time for a fixed location in the pattern. By using the algorithm of Wolf et al [1] we determine the largest non-negative Lyapunov exponent λ1 directly from the experimental time series, rather than analyzing the equations of motion of the system. The determined values of λ1 indicate chaotic behavior of the diffraction pattern for the unstable regime. The analysis of the time series suggests that the system follows a route to chaos through period doubling. Furthermore, from the calculated values of the correlation dimension, it was possible to identify this behavior as deterministic chaos. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028296006 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.52 |
| title | Experimental evidence of chaotic behavior in the dynamic diffraction pattern of a dye doped nematic film |
| topic | Física, Astronomía y Matemáticas Chaos diffraction liquid crystals thermal effects |
| url | https://www.redalyc.org/articulo.oa?id=57028296006 |