Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Partial Fractions01:28

Partial Fractions

220
A partial fraction is a component of a rational expression represented as the sum of simpler fractions. When a rational function is expressed as a ratio of two polynomials, it can often be decomposed into a sum of fractions whose denominators are simpler polynomials, typically linear or irreducible quadratic factors. This process is called partial fraction decomposition, and it is used to simplify complex expressions for integration, solving equations, or analysis.Partial fraction decomposition...
220
Mixtures of Gases: Dalton's Law of Partial Pressures and Mole Fractions03:03

Mixtures of Gases: Dalton's Law of Partial Pressures and Mole Fractions

44.1K
Unless individual gases chemically react with each other, the individual gases in a mixture of gases do not affect each other’s pressure. Each gas in a mixture exerts the same pressure that it would exert if it were present alone in the container. The pressure exerted by each individual gas in a mixture is called its partial pressure.
44.1K
Integration of Rational Functions Using Partial Fractions01:29

Integration of Rational Functions Using Partial Fractions

89
Rational functions are expressions written as the ratio of two polynomials, and their integrals are evaluated by simplifying the integrand into manageable parts. These functions are classified as proper or improper based on the degrees of the numerator and denominator.A rational function is proper when the degree of the numerator is less than the degree of the denominator. In this case, partial fraction decomposition is used to rewrite the function as a sum of simpler rational terms. The...
89
Inverse z-Transform by Partial Fraction Expansion01:20

Inverse z-Transform by Partial Fraction Expansion

698
The inverse z-transform is a crucial technique for converting a function from its z-domain representation back to the time domain. One effective method for finding the inverse z-transform is the Partial Fraction Method, which involves decomposing a function into simpler fractions with distinct coefficients. These fractions correspond to known z-transform pairs, facilitating the inverse transformation process.
To begin the process, the poles of the function are identified and the function is...
698
Beams01:30

Beams

1.9K
Beams are integral components of structural engineering and construction, designed to support loads applied at various points along their length. These long, straight members can be classified based on geometry, cross-section, support type, and equilibrium condition.
Based on geometry, beams can be straight, tapered, or curved. Straight beams are the most common type and have a constant cross-section throughout their length. Tapered beams, on the other hand, have a varying cross-section along...
1.9K
Deflection of a Beam01:19

Deflection of a Beam

731
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...
731

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Pelvic insufficiency fractures after radiation therapy for pelvic cancer in female patients: an updated meta-analysis of 11,272 patients.

Archives of orthopaedic and trauma surgery·2026
Same author

Glutathione metabolic reprogramming by ferroptosis inducers potentiates cuproptosis and antitumor immunity in osteosarcoma.

International immunopharmacology·2026
Same author

Topological links and knots of speckled light mediated by coherence singularities.

Light, science & applications·2025
Same author

Off-axis angular velocity detection with incoherent light.

Optics letters·2025
Same author

Universal analyzer for measuring the orbital angular momentum spectrum of a randomly fluctuated beam.

Optics letters·2024
Same author

Four-dimensional experimental characterization of partially coherent light using incoherent modal decomposition.

Nanophotonics (Berlin, Germany)·2024

Related Experiment Video

Updated: Feb 2, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
10:39

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Published on: October 11, 2016

10.1K

Partially coherent fractional vortex beam.

Jun Zeng, Xianlong Liu, Fei Wang

    Optics Express
    |November 25, 2018
    PubMed
    Summary
    This summary is machine-generated.

    We introduce a new partially coherent fractional vortex (PCFV) beam. Its unique propagation properties, unlike integral topological charge beams, were experimentally verified, showing gradual gap disappearance and increased symmetry with reduced coherence.

    More Related Videos

    Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
    15:58

    Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing

    Published on: December 3, 2013

    6.1K
    Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
    08:42

    Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method

    Published on: September 3, 2021

    3.6K

    Related Experiment Videos

    Last Updated: Feb 2, 2026

    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
    10:39

    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

    Published on: October 11, 2016

    10.1K
    Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
    15:58

    Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing

    Published on: December 3, 2013

    6.1K
    Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
    08:42

    Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method

    Published on: September 3, 2021

    3.6K

    Area of Science:

    • Optics and Photonics
    • Laser Physics
    • Beam Propagation

    Background:

    • Partially coherent vortex (PCV) beams possess unique characteristics.
    • Fractional topological charges offer new degrees of freedom in beam shaping.

    Purpose of the Study:

    • Introduce and characterize the partially coherent fractional vortex (PCFV) beam.
    • Investigate its propagation dynamics in an ABCD optical system.
    • Experimentally validate theoretical predictions.

    Main Methods:

    • Derivation of the propagation formula for PCFV beams using the convolution method.
    • Numerical calculation of propagation properties through a thin lens.
    • Experimental generation and focusing measurements of PCFV beams.

    Main Results:

    • PCFV beams exhibit unique propagation behavior distinct from PCV beams.
    • Intensity pattern gap and beam spot rotation diminish with decreasing spatial coherence width.
    • Cross-spectral density (CSD) distribution becomes more symmetric and recognizable as coherence decreases.

    Conclusions:

    • The PCFV beam demonstrates novel propagation characteristics influenced by spatial coherence.
    • Experimental results align with theoretical models, confirming the beam's behavior.
    • This work expands the understanding of partially coherent vortex beams.