Statistics of Non-Rayleigh Speckles Generated from Nonlinear Media
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915342869069824 |
|---|---|
| author | Gaur, Deependra Singh Gautam, Akanksha Singh, Rakesh Kumar Mishra, Akhilesh Kumar |
| author_facet | Gaur, Deependra Singh Gautam, Akanksha Singh, Rakesh Kumar Mishra, Akhilesh Kumar |
| contents | We analytically derive an expression for a speckle field's intensity probability density function (PDF) in a nonlinear medium. The analytically driven results are in good agreement with the numerical outcomes. In a focusing nonlinear medium, the local intensity of the speckle is enhanced as manifested through the longer tail of the PDF. In contrast, the local intensity of speckle is reduced in the presence of a defocusing nonlinearity, and the tail of the probability density function also reduces. This change in local intensity of the speckles arises due to the cubic Kerr nonlinearity, which eventually modifies the second-order statistics. Hence, the intensity correlation is altered as per the nature of the associated nonlinearity while the field correlation remains invariant of both types of the nonlinear conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04816 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Statistics of Non-Rayleigh Speckles Generated from Nonlinear Media Gaur, Deependra Singh Gautam, Akanksha Singh, Rakesh Kumar Mishra, Akhilesh Kumar Optics We analytically derive an expression for a speckle field's intensity probability density function (PDF) in a nonlinear medium. The analytically driven results are in good agreement with the numerical outcomes. In a focusing nonlinear medium, the local intensity of the speckle is enhanced as manifested through the longer tail of the PDF. In contrast, the local intensity of speckle is reduced in the presence of a defocusing nonlinearity, and the tail of the probability density function also reduces. This change in local intensity of the speckles arises due to the cubic Kerr nonlinearity, which eventually modifies the second-order statistics. Hence, the intensity correlation is altered as per the nature of the associated nonlinearity while the field correlation remains invariant of both types of the nonlinear conditions. |
| title | Statistics of Non-Rayleigh Speckles Generated from Nonlinear Media |
| topic | Optics |
| url | https://arxiv.org/abs/2506.04816 |