25 October 2011 A model for light transmission through a thin nonlocal-nonlinear media
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The transmission of an intense light beam through a thin nonlinear sample has been extensively studied, like in self phase modulation experiment and Z-scan technique, with different approaches: the Gaussian decomposition method, the Huygens-Fresnel principle, the diffraction theory, etc., The nonlocality in the response of the media in general leads to solve more than one differential equation. In this work we present a simple model to calculate, in a numerical way, the on axis far field intensity in a Z-scan experiment or the far field pattern in spatial self phase modulation experiment by means of the diffraction theory and taking into account the locality of the thin nonlinear media. The obtained results show that the peak-valley separation distance and the transmittance difference in a Z-scan experiment and the number of rings, size and intensity distribution of the far field pattern in the spatial self phase modulation experiment are functions of the locality in the nonlinear response of the media. The proposed model describes in good approximation experimental results for samples, like absorbing liquids, liquid crystals, metal nanoparticles, etc., with different kind of nonlinear response. This model is valid for any value of the nonlinear phase shift.
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E. V. Garcia Ramirez, E. V. Garcia Ramirez, M. L. Arroyo Carrasco, M. L. Arroyo Carrasco, M. M. Mendez Otero, M. M. Mendez Otero, E. Reynoso Lara, E. Reynoso Lara, S. Chavez-Cerda, S. Chavez-Cerda, M. D. Iturbe Castillo, M. D. Iturbe Castillo, "A model for light transmission through a thin nonlocal-nonlinear media", Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 80113C (25 October 2011); doi: 10.1117/12.901970; https://doi.org/10.1117/12.901970


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