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

Gaussian Elimination: Problem Solving01:30

Gaussian Elimination: Problem Solving

187
Systems of linear equations in several variables are pivotal in modeling complex scenarios involving multiple unknowns and constraints. Such systems are widely used in various fields to represent relationships where several conditions must be simultaneously satisfied. Each variable in the system corresponds to an unknown quantity, while each equation imposes a linear constraint, leading to a structured approach for analyzing and solving real-world problems.A system of three equations with three...
187
Linear time-invariant Systems01:23

Linear time-invariant Systems

907
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
907
Beams01:30

Beams

1.8K
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...
1.8K
Trigonometric Fourier series01:17

Trigonometric Fourier series

793
Fourier series is a foundational mathematical technique that decomposes periodic functions into an infinite series of sinusoidal harmonics. This method enables the representation of complex periodic signals as sums of simple sine and cosine functions, facilitating their analysis and interpretation in various fields, including signal processing, acoustics, and electrical engineering.
The trigonometric Fourier series specifically expresses a periodic function with a defined period T using sine...
793
Convergence of Fourier Series01:21

Convergence of Fourier Series

400
The Fourier series is a powerful mathematical tool for representing periodic signals as an infinite sum of complex exponentials. In practice, this infinite series is truncated to a finite number of terms, yielding a partial sum. This truncation makes the approximation of the signal feasible but introduces certain challenges, particularly near discontinuities, known as the Gibbs phenomenon.
The Gibbs phenomenon refers to the persistent oscillations and overshoots that occur near discontinuities...
400
Fast Fourier Transform01:10

Fast Fourier Transform

936
The Fast Fourier Transform (FFT) is a computational algorithm designed to compute the Discrete Fourier Transform (DFT) efficiently. By breaking down the calculations into smaller, manageable sections, the FFT significantly reduces the computational complexity involved. Direct computation of an N-point DFT requires N2 complex multiplications, whereas the FFT algorithm needs only (N/2)log⁡2N multiplications, offering a much faster performance.
The computational efficiency of the FFT becomes...
936

You might also read

Related Articles

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

Sort by
Same author

Backward canonical energy flow in the near field of three non-paraxial 2D beams.

Journal of the Optical Society of America. A, Optics, image science, and vision·2025
Same author

Orbital angular momentum at the tight focus of a circularly polarized Gaussian beam.

Journal of the Optical Society of America. A, Optics, image science, and vision·2025
Same author

Optical spin and orbital Hall effects at the tight focus of the superposition of two coaxial cylindrical vector beams with different-parity numbers.

Journal of the Optical Society of America. A, Optics, image science, and vision·2025
Same author

Laser-Induced Periodic Surface Structures on Layered GaSe Crystals: Structural Coloring and Infrared Antireflection.

The journal of physical chemistry letters·2023
Same author

Influence of optical "dipoles" on the topological charge of a field with a fractional initial charge.

Journal of the Optical Society of America. A, Optics, image science, and vision·2022
Same author

Polarization-sensitive direct laser patterning of azopolymer thin films with vortex beams.

Optics letters·2022
Same journal

Denoising algorithm of Φ-OTDR systems based on adaptive fractional wavelet transform denoising.

Optics express·2026
Same journal

Millisecond photon-to-photon latency and high-speed volumetric projection system for optogenetics.

Optics express·2026
Same journal

Polarization-encoded coaxial structured light for high-precision 3D surface profilometry.

Optics express·2026
Same journal

Discrete freeform optical design based on collaborative optimization of point cloud and local normals.

Optics express·2026
Same journal

Ultrafast ghost imaging with 25 GHz speckle switching and wavelength-division multiplexing.

Optics express·2026
Same journal

Atomic vapor cells fabricated by femtosecond laser welding of standard-optical-quality glass.

Optics express·2026
See all related articles

Related Experiment Video

Updated: Jan 30, 2026

Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans
08:24

Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans

Published on: September 13, 2017

8.3K

Vortex astigmatic Fourier-invariant Gaussian beams.

V V Kotlyar, A A Kovalev, A P Porfirev

    Optics Express
    |January 31, 2019
    PubMed
    Summary
    This summary is machine-generated.

    We introduce astigmatic elliptical Gaussian (AEG) optical vortices, a new class of light beams. These vortices exhibit unique orbital angular momentum properties, differing from conventional astigmatic beams.

    More Related Videos

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
    12:14

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

    Published on: August 12, 2013

    22.5K
    A Multimodal Wide-Field Fourier-Transform Raman Microscope
    06:48

    A Multimodal Wide-Field Fourier-Transform Raman Microscope

    Published on: December 30, 2025

    328

    Related Experiment Videos

    Last Updated: Jan 30, 2026

    Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans
    08:24

    Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans

    Published on: September 13, 2017

    8.3K
    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
    12:14

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

    Published on: August 12, 2013

    22.5K
    A Multimodal Wide-Field Fourier-Transform Raman Microscope
    06:48

    A Multimodal Wide-Field Fourier-Transform Raman Microscope

    Published on: December 30, 2025

    328

    Area of Science:

    • Optics and Photonics
    • Quantum Optics

    Background:

    • Optical vortices carry orbital angular momentum (OAM).
    • Astigmatic beams possess elliptical symmetry.
    • Conventional astigmatic beams may split central intensity nulls.

    Purpose of the Study:

    • To introduce and characterize a novel family of astigmatic elliptical Gaussian (AEG) optical vortices.
    • To analyze the orbital angular momentum properties of these novel beams.
    • To investigate the behavior of the central intensity null in AEG vortices.

    Main Methods:

    • Theoretical derivation of a two-parameter family of AEG optical vortices.
    • Calculation of the total normalized orbital angular momentum.
    • Analysis of the phase structure and intensity distribution in the transverse plane.

    Main Results:

    • AEG vortices are free space modes (up to scale and rotation).
    • The total normalized OAM can be integer, fractional, or zero.
    • OAM is the algebraic sum of vortex and astigmatic contributions.
    • A single, n-fold degenerate intensity null exists on the optical axis.
    • The central null does not split, unlike in other astigmatic beams.

    Conclusions:

    • AEG vortices represent a unique class of optical beams with tunable OAM.
    • The findings challenge previous assumptions about intensity null splitting in astigmatic beams.
    • This work expands the toolkit for generating and controlling light beams with specific OAM properties.