Frequency redistribution and step-size distribution of light scattered by atomic vapor: applications to Lévy flight random walk
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| Format: | Preprint |
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2024
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| _version_ | 1866913588672724992 |
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| author | Nunes, Isaac C. Araújo, Michelle O. Lopez, Jesús P. de Silans, Thierry Passerat |
| author_facet | Nunes, Isaac C. Araújo, Michelle O. Lopez, Jesús P. de Silans, Thierry Passerat |
| contents | The propagation of light that undergoes multiple-scattering by resonant atomic vapor can be described as a Lévy flight. Lévy flight is a random walk with heavy tailed step-size (r) distribution, decaying asymptotically as $P(r)\sim r^{-1-α}$, with $α<2$. The large steps, typical of Lévy flights, have its origins in frequency redistribution of the light scattered by the vapor. We calculate the frequency redistribution function and the step-size distribution for light diffusion in atomic vapor. From the step-size distribution we extract a Lévy parameter $α$ that depends on the step's size. We investigate how the frequency redistribution function and step-size distribution are influenced by the finite size of the vapor and the many-level structure typical for alkali vapors. Finite size of the vapor introduces cutoff on the light scattered spectrum and thus in the size of steps. Multi-level structure introduces oscillations in $P(r)$ slope. Both effects might have an impact on measurables related to the Lévy flight random walk. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_18570 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Frequency redistribution and step-size distribution of light scattered by atomic vapor: applications to Lévy flight random walk Nunes, Isaac C. Araújo, Michelle O. Lopez, Jesús P. de Silans, Thierry Passerat Optics Astrophysics of Galaxies Solar and Stellar Astrophysics Atomic Physics Quantum Physics The propagation of light that undergoes multiple-scattering by resonant atomic vapor can be described as a Lévy flight. Lévy flight is a random walk with heavy tailed step-size (r) distribution, decaying asymptotically as $P(r)\sim r^{-1-α}$, with $α<2$. The large steps, typical of Lévy flights, have its origins in frequency redistribution of the light scattered by the vapor. We calculate the frequency redistribution function and the step-size distribution for light diffusion in atomic vapor. From the step-size distribution we extract a Lévy parameter $α$ that depends on the step's size. We investigate how the frequency redistribution function and step-size distribution are influenced by the finite size of the vapor and the many-level structure typical for alkali vapors. Finite size of the vapor introduces cutoff on the light scattered spectrum and thus in the size of steps. Multi-level structure introduces oscillations in $P(r)$ slope. Both effects might have an impact on measurables related to the Lévy flight random walk. |
| title | Frequency redistribution and step-size distribution of light scattered by atomic vapor: applications to Lévy flight random walk |
| topic | Optics Astrophysics of Galaxies Solar and Stellar Astrophysics Atomic Physics Quantum Physics |
| url | https://arxiv.org/abs/2411.18570 |