Variational scaling law for atmospheric propagation
Summary
A new scaling law model accurately predicts optical beam propagation through atmospheric turbulence. This method simplifies calculations while reliably capturing essential wavefront and phasefront dynamics in moderate turbulence.
Area of Science:
- Optics and Photonics
- Atmospheric Physics
- Wave Propagation
Background:
- Atmospheric turbulence significantly distorts optical beams, impacting applications like free-space optical communication and laser imaging.
- Existing scalar stochastic wave-optics techniques can be computationally intensive for modeling beam propagation.
- Need for efficient models that capture essential beam wavefront and phasefront evolution.
Purpose of the Study:
- To introduce and evaluate a novel scaling law model for optical beam propagation through atmospheric turbulence.
- To compare the performance of the new model against a common scalar stochastic wave-optics technique.
- To assess the model's ability to conserve power and track key beam parameters.
Main Methods:
- Developed a variational scaling law model focusing on beam wavefront and phasefront parameters.
- Simulated a Gaussian-shaped laser beam propagating through atmospheric turbulence.
- Assumed conservation of power throughout the propagation process.
Main Results:
- The proposed scaling law model reliably tracks essential beam parameters.
- The model demonstrates accuracy even with moderately high atmospheric turbulence strengths.
- Significant reduction in computational cost compared to traditional wave-optics methods.
Conclusions:
- The new variational scaling law offers an efficient and reliable method for modeling optical beam propagation in turbulence.
- This approach provides a computationally advantageous alternative for analyzing beam distortion.
- The model's effectiveness in moderate turbulence conditions validates its practical utility.
Related Concept Videos
Variation of Atmospheric Pressure
3.5K
Change in atmospheric pressure with height is particularly interesting. The decrease in atmospheric pressure with increasing altitude is due to the decreasing gravitational force per unit area as we move away from the surface of the earth.
Assuming the air temperature is constant at a given altitude and that the ideal gas law of thermodynamics describes the atmosphere to a good approximation, one can find the variation of atmospheric pressure with height.
Let p(y) be the atmospheric pressure at...
Assuming the air temperature is constant at a given altitude and that the ideal gas law of thermodynamics describes the atmosphere to a good approximation, one can find the variation of atmospheric pressure with height.
Let p(y) be the atmospheric pressure at...
3.5K
Scaling
374
In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
374
Influence of Earth's Curvature and Atmospheric Refraction on Leveling
443
During leveling, the Earth's curvature and atmospheric refraction introduce deviations in the line of sight from a true horizontal reference. When the line of sight is leveled, it remains perpendicular to the plumb line only at a single point. Beyond this, it deviates due to the Earth’s curvature, represented by the correction C. For a sight distance D, the deviation can be derived using the relationship:This relationship shows that the deviation increases quadratically with distance. Over a...
443
Boundary Layer Characteristics
297
When a fluid encounters a solid surface, a boundary layer forms due to the interaction between the fluid's motion and the stationary surface. This phenomenon is characterized by a thin region adjacent to the surface where viscous forces dominate, influencing the fluid's velocity profile. The development of the boundary layer begins at the leading edge of the surface and evolves as the fluid moves downstream.As the fluid flows over the surface, friction between the fluid and the wall slows down...
297
Pressure and Volume in an Adiabatic Process
3.0K
Free expansion of a gas is an adiabatic process. However, there are few differences between free expansion and adiabatic expansion. During free expansion, no work is done, and there is no change in internal energy. But, for an adiabatic expansion, work is done, and there is a change in internal energy. During an adiabatic process, the relation between the pressure and volume is obtained from the condition for the adiabatic process, that is,
3.0K
Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation
36.9K
Thus far, the ideal gas law, PV = nRT, has been applied to a variety of different types of problems, ranging from reaction stoichiometry and empirical and molecular formula problems to determining the density and molar mass of a gas. However, the behavior of a gas is often non-ideal, meaning that the observed relationships between its pressure, volume, and temperature are not accurately described by the gas laws.
36.9K


