Convolution approach for beam propagation in random media

Area of Science:

• Optics and Photonics
• Wave Propagation
• Turbulence Theory

Background:

• Understanding light beam propagation in complex media is crucial for various applications.
• Turbulence in atmospheric and oceanic environments significantly distorts light beams.
• Existing methods for analyzing beam propagation can be computationally intensive.

Purpose of the Study:

• To derive a simple, analytical formula for predicting the transverse intensity distribution of scalar beams.
• To provide a tool for analyzing the effects of turbulence on coherent and partially coherent beams.
• To offer insights into light-media interactions in extended, homogeneous media.

Main Methods:

• Derivation of a simple formula based on the power spectra of refractive index.
• Application of the formula to coherent and partially coherent (Schell-model) scalar beams.
• Illustrative examples using atmospheric and oceanic turbulence models.

Main Results:

• A straightforward formula for predicting beam intensity distribution was successfully derived.
• The formula is applicable to various beam types and turbulent conditions.
• The derived formula simplifies the analysis of light propagation in turbulent media.

Conclusions:

• The developed formula offers a convenient analytical and numerical tool for beam propagation studies.
• This work provides deeper insight into the light-media interaction process.
• The findings facilitate efficient analysis of beam propagation without lengthy computations.