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Updated: Jun 17, 2026

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Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
Published on: February 27, 2016
Summary
Investigating Gaussian beam propagation in turbulence using geometrical optics reveals how focused beams can detail inhomogeneous turbulence parameters. This method provides insights into phase fluctuations for parallel or diverging rays.
Area of Science:
- Optics
- Wave propagation
- Turbulence studies
Background:
- Understanding wave propagation in turbulent media is crucial for various applications.
- Gaussian beams are fundamental in optical systems.
- Turbulence introduces random fluctuations affecting wave coherence.
Purpose of the Study:
- To investigate Gaussian beam propagation in a turbulent medium.
- To derive phase fluctuation functions for different ray configurations.
- To explore the potential of focused beams for turbulence characterization.
Main Methods:
- Utilizing the geometrical optics approximation.
- Deriving closed-form expressions for correlation and structure functions.
- Analyzing phase fluctuations for parallel and diverging rays.
Main Results:
- Closed-form solutions for phase fluctuation functions were obtained.
- Two limiting cases (parallel and diverging rays) were analyzed.
- Focused beams show potential for investigating inhomogeneous turbulence parameters.
Conclusions:
- Geometrical optics provides a framework for analyzing Gaussian beam propagation in turbulence.
- Focused beams offer a method for detailed characterization of slowly varying, inhomogeneous turbulence.
- The derived functions are valuable for understanding wave distortion in turbulent environments.
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