Differential Configurational Entropy in Nonlinear Self-Similar Optical Rogue Wave
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2025
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| _version_ | 1866901984348471296 |
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| author | Thakur, Pooja Kaur, Sukhdeep |
| author_facet | Thakur, Pooja Kaur, Sukhdeep |
| contents | <p>Information theory plays an important<br>role in the understanding of modern communication technology and<br>computation. It has been used in many areas of research such as<br>chemistry, biology, high-energy physics, computer science and<br>condensed matter physics. Differential Configuration entropy (DCE), the<br>classical counterpart of information theory, is a logarithmic<br>measure of spatially-bounded functions in the Fourier space of<br>spatial complexity. It represents the exact measure of information<br>that is needed to describe the spatial shape of functions with<br>respect to a set of parameters. We present the DCE for rogue<br>waves travelling in the tapered graded index optical waveguide<br>which is modelled by the inhomogeneous nonlinear Schr\"odinger equation.<br>It is found that there is a value of the rogue wave width for which<br>DCE has its minima, which correspond to a configuration of maximum<br>compressibility of information in the Fourier modes that describes<br>the spatial shape of the rogue. Lower the DCE, the wave solution<br>will be more concentrated and the accuracy in predicting the<br>localization of the wave will be higher. The DCE is obtained to the<br>optimal width of the rogue wave for which the information<br>stored in its spatial shape is most compressed into its momentum<br>modes.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17642649 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Differential Configurational Entropy in Nonlinear Self-Similar Optical Rogue Wave Thakur, Pooja Kaur, Sukhdeep Differential Configurational Entropy, Optical Rogue Waves, Tapered Graded-Index Waveguide, Nonlinear Schrödinger Equation, Spatial Complexity. <p>Information theory plays an important<br>role in the understanding of modern communication technology and<br>computation. It has been used in many areas of research such as<br>chemistry, biology, high-energy physics, computer science and<br>condensed matter physics. Differential Configuration entropy (DCE), the<br>classical counterpart of information theory, is a logarithmic<br>measure of spatially-bounded functions in the Fourier space of<br>spatial complexity. It represents the exact measure of information<br>that is needed to describe the spatial shape of functions with<br>respect to a set of parameters. We present the DCE for rogue<br>waves travelling in the tapered graded index optical waveguide<br>which is modelled by the inhomogeneous nonlinear Schr\"odinger equation.<br>It is found that there is a value of the rogue wave width for which<br>DCE has its minima, which correspond to a configuration of maximum<br>compressibility of information in the Fourier modes that describes<br>the spatial shape of the rogue. Lower the DCE, the wave solution<br>will be more concentrated and the accuracy in predicting the<br>localization of the wave will be higher. The DCE is obtained to the<br>optimal width of the rogue wave for which the information<br>stored in its spatial shape is most compressed into its momentum<br>modes.</p> |
| title | Differential Configurational Entropy in Nonlinear Self-Similar Optical Rogue Wave |
| topic | Differential Configurational Entropy, Optical Rogue Waves, Tapered Graded-Index Waveguide, Nonlinear Schrödinger Equation, Spatial Complexity. |
| url | https://doi.org/10.5281/zenodo.17642649 |