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

Focusing of Light in the Eye01:16

Focusing of Light in the Eye

3.3K
Light rays enter the eye through the cornea, a transparent dome-shaped tissue that is the eye's outermost layer. The cornea bends or refracts, light rays traveling to the pupil. The shape of the cornea determines how much of the light is bent and whether the image will be focused correctly on the retina at the back of the eye. Once the light has passed through both refraction layers, it converges into a single focal point onto a small area. This is where photoreceptors start transforming...
3.3K
Potential Due to a Polarized Object01:29

Potential Due to a Polarized Object

490
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
490
Properties of the z-Transform II01:16

Properties of the z-Transform II

203
The property of Accumulation in signal processing is derived by analyzing the accumulated sum of a discrete-time signal and using the time-shifting property to determine its z-transform. This principle reveals that the z-transform of the summed signal is related to the z-transform of the original signal by a multiplicative factor.
Moreover, the convolution property indicates that the convolution of two signals in the time domain corresponds to the product of their z-transforms in the frequency...
203
Properties of the z-Transform I01:17

Properties of the z-Transform I

350
The z-transform is a fundamental tool in digital signal processing, enabling the analysis of discrete-time systems through its various properties. It is an invaluable tool for analyzing discrete-time systems, offering a range of properties that simplify complex signal manipulations. One fundamental property is linearity. For any two discrete-time signals, the z-transform of their linear combination equals the same linear combination of their individual z-transforms. This property is essential...
350
Interference and Diffraction02:18

Interference and Diffraction

48.0K
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.
48.0K
Definition of z-Transform01:26

Definition of z-Transform

959
The z-transform is a powerful mathematical tool used in the analysis of discrete-time signals and systems. It is an essential analytical tool, analogous to the Laplace transform used in continuous-time systems. It plays a crucial role in the analysis of signals and systems, complementing the discrete-time Fourier transform. Both the z-transform and the Laplace transform convert differential or difference equations into algebraic equations, simplifying the process of solving complex problems.
959

You might also read

Related Articles

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

Sort by
Same author

Sfrp4 Is Required for Proper Dental Formation and Stem Cell Regulation.

Journal of dental research·2026
Same author

Seismically induced fault leakage from the Val d'Agri hydrocarbon reservoir (Southern Italy).

The Science of the total environment·2025
Same author

Paley-Wiener partially coherent sources.

Optics letters·2024
Same author

Affine diffractive beam dividers.

Journal of the Optical Society of America. A, Optics, image science, and vision·2024
Same author

Tracking flowpaths in a complex karst system through tracer test and hydrogeochemical monitoring: Implications for groundwater protection (Gran Sasso, Italy).

Heliyon·2024
Same author

The role of mesotherapy in the management of spinal pain. A randomized controlled study.

La Clinica terapeutica·2023

Related Experiment Video

Updated: Sep 28, 2025

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

9.8K

On z-coherence in self-focusing.

F Gori, R Martínez-Herrero, G Piquero

    Optics Letters
    |April 1, 2022
    PubMed
    Summary

    This study derives closed-form solutions for self-focusing of circularly coherent light, confirming previous intensity distribution findings and revealing complex new features in z-coherence. The results offer insights into light propagation phenomena.

    Area of Science:

    • Optics and Photonics
    • Wave Propagation

    Background:

    • Self-focusing is a critical phenomenon in nonlinear optics.
    • Understanding light coherence is essential for predicting wave propagation behavior.

    Purpose of the Study:

    • To derive closed-form expressions for intensity distribution and z-coherence during self-focusing.
    • To analyze the behavior of circularly coherent light in a self-focusing medium.

    Main Methods:

    • Analytical derivation of intensity distribution and z-coherence.
    • Utilizing a pseudo-modal expansion for physical interpretation.

    Main Results:

    • Closed-form solutions for both intensity distribution and z-coherence were obtained.
    • Derived intensity distribution confirms prior numerical results.

    More Related Videos

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
    09:04

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

    Published on: February 23, 2018

    9.6K
    Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
    10:16

    Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

    Published on: February 8, 2014

    12.4K

    Related Experiment Videos

    Last Updated: Sep 28, 2025

    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

    9.8K
    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
    09:04

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

    Published on: February 23, 2018

    9.6K
    Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
    10:16

    Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

    Published on: February 8, 2014

    12.4K
  • Z-coherence exhibits novel and complex characteristics.

    • Conclusions:

    • The study provides a comprehensive analytical framework for self-focusing of circularly coherent light.
    • The findings on z-coherence offer new perspectives on light coherence properties.
    • A pseudo-modal expansion provides a simplified physical model for the phenomenon.