Related Experiment Video
Updated: Apr 15, 2026
13:02
Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
Published on: February 27, 2016
13.2K
Determining the vortex densities of random nondiffracting beams
Optics Letters
|April 2, 2015
Summary
Researchers analyzed optical vortices in random nondiffracting beams (RNDBs). A new formula predicts phase singularity density in RNDBs, aiding in their understanding and design.
Area of Science:
- Optics and Photonics
- Statistical Physics
Background:
- Random nondiffracting beams (RNDBs) exhibit complex optical vortex structures.
- Understanding the statistical properties of these vortices is crucial for advanced optical applications.
Purpose of the Study:
- To analyze the evolutionary and statistical properties of optical vortices in RNDBs.
- To derive a predictive model for phase singularity (PS) density in RNDBs.
Main Methods:
- Analysis of phase singularities (PSs) in RNDBs.
- Relating PSs to the zero rings of Bessel beams with similar spatial spectrum structures.
- Modeling PS density based on the duration of Bessel function zero rings.
Main Results:
- Phase singularities in RNDBs originate from the zero rings of Bessel beams.
- The average PS density is determined by the average duration of these zero rings.
- An analytical formula was derived to quantitatively predict PS density in RNDBs.
Conclusions:
- The study provides a novel analytical model for predicting PS density in RNDBs.
- This model enhances the understanding of optical vortex formation in RNDBs.
- The derived formula can aid in the design and application of RNDBs.
Related Concept Videos
01:11Distribution of Stresses in a Narrow Rectangular Beam
697
In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these...
697
02:18Interference and Diffraction
54.9K
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
54.9K
01:15Beams with Symmetric Loadings
504
The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...
The M/EI...
504
01:17Beams with Unsymmetric Loadings
504
Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
504
01:16Bernoulli's Equation for Flow Normal to a Streamline
1.4K
Bernoulli's equation for flow normal to a streamline explains how pressure varies across curved streamlines due to the outward centrifugal forces induced by the fluid's curvature. The pressure is higher on the inner side of the curve, near the center of curvature, and decreases outward to balance these centrifugal forces.
The pressure difference depends on the fluid's velocity and radius of curvature. The pressure variation is minimal in flows with nearly straight streamlines. However, the...
The pressure difference depends on the fluid's velocity and radius of curvature. The pressure variation is minimal in flows with nearly straight streamlines. However, the...
1.4K
01:06Divergence and Stokes' Theorems
4.2K
The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...
4.2K