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Phase fluctuations method for determining spatiotemporal distributions of the refractive-index structure parameter
Optics Express
|September 23, 2025
Summary
A new phase fluctuation (PF) method using moiré deflectometry accurately measures atmospheric refractive-index structure parameter. This technique provides insights into optical turbulence and its spatiotemporal characteristics.
Area of Science:
- Optics and Atmospheric Science
- Physics of Fluids
Background:
- Quantifying turbulence intensity is essential for atmospheric studies.
- Direct measurement of the refractive-index structure parameter (Cn2) is challenging.
- Optical turbulence significantly impacts various applications, including remote sensing and communication.
Purpose of the Study:
- To propose and validate a novel phase fluctuation (PF) method for simultaneously determining spatiotemporal distributions of Cn2.
- To address the limitations of existing methods in directly measuring Cn2 from optical turbulence data.
- To provide a visualization tool for Cn2 and advance atmospheric turbulence research.
Main Methods:
- Development of a phase fluctuation (PF) method utilizing moiré deflectometry with double cross gratings.
- Theoretical simulations to assess the accuracy and applicability of the proposed PF method.
- Experimental validation through a one-hour measurement campaign in a real atmospheric environment.
Main Results:
- Theoretical simulations demonstrated high accuracy with relative errors of 0.5% (temporal) and 2% (spatial).
- Successful measurement of spatiotemporal distributions of Cn2 in a real atmospheric environment.
- Observed Cn2 fluctuation ranges aligned with empirical values, confirming stochastic atmospheric characteristics.
Conclusions:
- The proposed PF method offers a highly accurate and applicable approach for measuring and visualizing Cn2.
- This technique provides valuable insights into the spatiotemporal dynamics of optical turbulence.
- The study lays groundwork for future advancements in atmospheric turbulence quantification and analysis.

