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

Properties of Fourier Transform II01:24

Properties of Fourier Transform II

148
The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
148
Space-Time Curvature and the General Theory of Relativity01:17

Space-Time Curvature and the General Theory of Relativity

2.6K
In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than the speed of light in a vacuum, which thus serves as the speed limit of the universe.
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
2.6K
Propagation of Waves01:07

Propagation of Waves

2.3K
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
2.3K
Properties of DTFT I01:24

Properties of DTFT I

339
In signal processing, Discrete-Time Fourier Transforms (DTFTs) play a critical role in analyzing discrete-time signals in the frequency domain. Various properties of the DTFTs such as linearity, time-shifting, frequency-shifting, time reversal, conjugation, and time scaling help understand and manipulate these signals for different applications.
The linearity property of DTFTs is fundamental. If two discrete-time signals are multiplied by constants a and b respectively, and then combined to...
339
Travelling Waves01:04

Travelling Waves

5.1K
A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is...
5.1K
Properties of DTFT II01:24

Properties of DTFT II

173
In the study of discrete-time signal processing, understanding the properties of the Discrete-Time Fourier Transform (DTFT) is crucial for analyzing and manipulating signals in the frequency domain. Several properties, including frequency differentiation, convolution, accumulation, and Parseval's relation, offer powerful tools for signal analysis.
The frequency differentiation property is illustrated by considering a DTFT pair and differentiating both sides with respect to ω.
173

You might also read

Related Articles

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

Sort by
Same author

Dynamic Quantum Gate Based on Controllable Chiral Liquid Crystal Nanostructure.

Nano letters·2026
Same author

Sensitive infrared photodetection enabled by in-sensor background-offset cancellation in a mixed-dimensional van der Waals heterostructure.

Nature communications·2026
Same author

Chiral Quasi-Bound States in the Continuum on the Verge of the Light Cone.

Nano letters·2026
Same author

Reconfigurable ferroelectric chiral nanostructures enable fast-switchable optical spatial differentiation.

Light, science & applications·2026
Same author

Metaceramic enables ultrahigh-temperature record rectification and programmable 3D thermal control.

Science advances·2026
Same author

A less-for-more metamaterial paradigm via Laplace-Helmholtz correspondence.

Reports on progress in physics. Physical Society (Great Britain)·2026

Related Experiment Video

Updated: May 21, 2025

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
13:02

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow

Published on: February 27, 2016

12.1K

Tailoring spatiotemporal wavepackets via two-dimensional space-time duality.

Wei Chen1, An-Zhuo Yu1, Zhou Zhou2

  • 1National Laboratory of Solid State Microstructures, Key Laboratory of Intelligent Optical Sensing and Manipulation, Collaborative Innovation Center of Advanced Microstructures, College of Engineering and Applied Sciences, Nanjing University, Nanjing, China.

Nature Communications
|March 22, 2025
PubMed
Summary
This summary is machine-generated.

Researchers developed a universal framework for spatiotemporal (ST) beams, enabling precise ST beam generation with over 97% fidelity. This breakthrough unlocks new ST wavepackets and applications in wave-based systems.

More Related Videos

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

3.0K
Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.6K

Related Experiment Videos

Last Updated: May 21, 2025

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
13:02

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow

Published on: February 27, 2016

12.1K
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

3.0K
Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.6K

Area of Science:

  • Optics and Photonics
  • Wave Physics

Background:

  • Spatiotemporal (ST) beams are ultrafast optical wavepackets with tailored spatial and temporal properties, distinct from conventional structured light.
  • Limited progress in ST beam research due to the lack of a universal framework for analysis and generation.

Purpose of the Study:

  • To introduce a universal framework for ST beam analysis and generation.
  • To establish a foundational duality between spatial-structured light and ST beams.
  • To enable precise crafting of ST beams with high fidelity.

Main Methods:

  • Introduction of 'two-dimensional space-time duality' concept.
  • Analysis of the critical role of balancing paraxial diffraction and narrow-band dispersion.
  • Development of a complex-amplitude modulation strategy for ST beam generation.

Main Results:

  • Demonstrated a universal framework for ST beam analysis and generation.
  • Achieved precise ST beam crafting with fidelity exceeding 97%.
  • Uncovered a new range of ST wavepackets through a scalar spatial-structured light and ST beam relationship.

Conclusions:

  • The developed framework and methods significantly advance ST beam research.
  • The findings expand the capabilities for manipulating light.
  • Potential for diverse applications across various wave-based physical systems.