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PreprintCC BY 4.0arXiv

Statistical Characterization of Wind-Induced Beam Refraction and UAV Instability in Water-to-Air Optical Channels

Abstract

Direct water-to-air (W2A) optical communications experience strong beam refraction at the dynamic sea surface and unmanned aerial vehicle (UAV) instability. This letter proposes a novel and tractable statistical channel model for a vertical W2A link between an underwater node and an UAV under varying wind speeds, modeling wind-induced pointing errors with a Beta mixture fitted via the Expectation-Maximization algorithm. By accounting for link interruptions due to total internal reflection (TIR) and effective receiver field-of-view limitations, we derive closed-form expressions for the channel distribution and link outage probability. Our analysis reveals a fundamental TIR-induced outage floor limiting link reliability and providing insight for robust W2A system design.

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BibTeX
@misc{nennouche2026statistical,
  title = {{Statistical Characterization of Wind-Induced Beam Refraction and UAV Instability in Water-to-Air Optical Channels}},
  author = {Mohamed Nennouche and Ikenna Chinazaekpere Ijeh and Mohammad-Ali Khalighi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.22861},
  eprint = {2605.22861},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.22861},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Statistical Characterization of Wind-Induced Beam Refraction and UAV Instability in Water-to-Air Optical Channels
AU  - Mohamed Nennouche
AU  - Ikenna Chinazaekpere Ijeh
AU  - Mohammad-Ali Khalighi
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2605.22861
UR  - https://arxiv.org/abs/2605.22861
AB  - Direct water-to-air (W2A) optical communications experience strong beam refraction at the dynamic sea surface and unmanned aerial vehicle (UAV) instability. This letter proposes a novel and tractable statistical channel model for a vertical W2A link between an underwater node and an UAV under varying wind speeds, modeling wind-induced pointing errors with a Beta mixture fitted via the Expectation-Maximization algorithm. By accounting for link interruptions due to total internal reflection (TIR) and effective receiver field-of-view limitations, we derive closed-form expressions for the channel distribution and link outage probability. Our analysis reveals a fundamental TIR-induced outage floor limiting link reliability and providing insight for robust W2A system design.
ER  -