Long distance propagation of wave beams in paraxial regime
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912539444510720 |
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| author | Bal, Guillaume Nair, Anjali |
| author_facet | Bal, Guillaume Nair, Anjali |
| contents | This paper concerns the propagation of high frequency wave-beams in highly turbulent atmospheres. Using a paraxial model of wave propagation, we show in the long-distance weak-coupling regime that the wavefields are approximately described by a complex Gaussian field whose scintillation index is unity. This provides a model of the speckle formation observed in many practical settings. The main step of the derivation consists in showing that closed-form moment equations in the Itô-Schrödinger regime are still approximately satisfied in the paraxial regime. The rest of the proof is then an extension of results derived in [Bal, G. and Nair, A., arXiv:2402.17107.] |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09514 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Long distance propagation of wave beams in paraxial regime Bal, Guillaume Nair, Anjali Analysis of PDEs Mathematical Physics Probability Optics This paper concerns the propagation of high frequency wave-beams in highly turbulent atmospheres. Using a paraxial model of wave propagation, we show in the long-distance weak-coupling regime that the wavefields are approximately described by a complex Gaussian field whose scintillation index is unity. This provides a model of the speckle formation observed in many practical settings. The main step of the derivation consists in showing that closed-form moment equations in the Itô-Schrödinger regime are still approximately satisfied in the paraxial regime. The rest of the proof is then an extension of results derived in [Bal, G. and Nair, A., arXiv:2402.17107.] |
| title | Long distance propagation of wave beams in paraxial regime |
| topic | Analysis of PDEs Mathematical Physics Probability Optics |
| url | https://arxiv.org/abs/2409.09514 |