Related Experiment Video
Updated: Jul 31, 2025

06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
9.0K
Coherence singularity and evolution of partially coherent Bessel-Gaussian vortex beams
Optics Express
|May 9, 2023
Summary
The topological charge of partially coherent Bessel-Gaussian vortex beams can be determined by counting coherence singularities. This relationship, dependent on an off-axis reference point, is crucial for optical communications.
Area of Science:
- Optical physics
- Beam propagation
- Coherence theory
Background:
- Partially coherent Bessel-Gaussian (PCBG) vortex beams carry topological charge (TC) information within their cross-spectral density (CSD) phase.
- Understanding the relationship between TC and beam properties is vital for advanced optical applications.
Purpose of the Study:
- To investigate and confirm the quantitative relationship between the topological charge (TC) and the number of coherence singularities in PCBG vortex beams.
- To establish a method for measuring the CSD phase of PCBG vortex beams.
- To explore the influence of propagation distance and coherence width on this relationship.
Main Methods:
- Theoretical analysis of PCBG vortex beam propagation.
- Experimental verification using a developed CSD phase measurement scheme.
- Analysis of beam characteristics at varying propagation distances and coherence widths.
Main Results:
- The number of coherence singularities equals the magnitude of the TC for PCBG vortex beams with an off-axis reference point.
- The phase winding direction directly corresponds to the sign of the TC.
- The quantitative relationship was confirmed experimentally across different propagation conditions.
Conclusions:
- A reliable method for determining the TC of PCBG vortex beams has been established.
- The findings provide a foundation for utilizing PCBG vortex beams in optical communication systems.
- This research clarifies a key characteristic of PCBG vortex beams, differentiating them from other vortex beam types.
Related Concept Videos
Divergence and Stokes' Theorems
1.7K
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...
1.7K
Standing Waves in a Cavity
966
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
966
Singularity Functions for Shear
166
In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the...
166
Symmetry in Maxwell's Equations
3.5K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
3.5K
Deflection of a Beam
319
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
319
Divergence and Curl of Electric Field
5.8K
The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as
5.8K

