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

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...
Properties of Fourier Transform I01:21

Properties of Fourier Transform I

The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Properties of Fourier series I01:20

Properties of Fourier series I

The Fourier series is a powerful tool in signal processing and communications, allowing periodic signals to be expressed as sums of sine and cosine functions. A foundational property of the Fourier series is linearity. If we consider two periodic signals, their linear combination results in a new signal whose Fourier coefficients are simply the corresponding linear combinations of the original signals' coefficients. This property is crucial in applications like frequency modulation (FM) radio,...
Discrete Fourier Transform01:15

Discrete Fourier Transform

The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...

You might also read

Related Articles

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

Sort by
Same author

Programmable quantum emitter formation in silicon.

Nature communications·2024
Same author

Engineering new limits to magnetostriction through metastability in iron-gallium alloys.

Nature communications·2021
Same author

Author Correction: Local negative permittivity and topological phase transition in polar skyrmions.

Nature materials·2021
Same author

Local negative permittivity and topological phase transition in polar skyrmions.

Nature materials·2020
Same author

Tunable Magnetoelastic Effects in Voltage-Controlled Exchange-Coupled Composite Multiferroic Microstructures.

ACS applied materials & interfaces·2020
Same author

All-electrical nuclear spin polarization of donors in silicon.

Physical review letters·2013
Same journal

Multifunctional reconfigurable terahertz metasurface based on vanadium dioxide phase transition: achieving broadband absorption and efficient polarization conversion.

Applied optics·2026
Same journal

High-Q-factor electromagnetically induced transparency utilizing quasi-bound states in the continuum in an all-dielectric terahertz metasurface.

Applied optics·2026
Same journal

Automated stitching interferometry for high-precision metrology of X-ray mirrors.

Applied optics·2026
Same journal

Experimental demonstration of an approach to designing a metal-dielectric DBR resonant cavity structure.

Applied optics·2026
Same journal

High-precision wavefront reconstruction from a single-shot interferogram using a physics-driven hybrid feature calibration network.

Applied optics·2026
Same journal

Ultra-high-Q Fano resonance based on coupled topological corner states in Kagome photonic crystals.

Applied optics·2026
See all related articles

Related Experiment Video

Updated: Jul 6, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

Fourier-transform method of phase-shift determination.

K A Goldberg, J Bokor

    Applied Optics
    |March 22, 2008
    PubMed
    Summary
    This summary is machine-generated.

    A novel phase-shifting interferometry technique accurately measures phase steps, improving analysis accuracy and reducing errors. This method enhances phase retrieval and requires fewer interferograms for analysis.

    More Related Videos

    New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies
    05:59

    New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

    Published on: October 6, 2023

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

    A Multimodal Wide-Field Fourier-Transform Raman Microscope

    Published on: December 30, 2025

    Related Experiment Videos

    Last Updated: Jul 6, 2026

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
    08:39

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

    Published on: January 28, 2019

    New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies
    05:59

    New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

    Published on: October 6, 2023

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

    A Multimodal Wide-Field Fourier-Transform Raman Microscope

    Published on: December 30, 2025

    Area of Science:

    • Optics and Photonics
    • Metrology
    • Interferometry

    Background:

    • Phase-shifting interferometry (PSI) is susceptible to errors from nonlinear or irregular phase steps.
    • Accurate phase retrieval is crucial for precise metrological measurements.

    Purpose of the Study:

    • To develop a new PSI analysis technique that overcomes errors caused by non-ideal phase steps.
    • To improve the accuracy and reliability of phase-shifting analysis.

    Main Methods:

    • A deterministic method utilizing Fourier domain analysis of the first-order maximum phase.
    • Measurement of global phase-step positions and calibration of phase-shifting elements.
    • Reduced reliance on transducer calibration accuracy.

    Main Results:

    • Successfully addressed errors from nonlinear, irregular, or unknown phase-step increments.
    • Alleviated phase-retrieval errors like fringe print-through.
    • Demonstrated deterministic operation without iterative error minimization.

    Conclusions:

    • The new technique enhances PSI accuracy by precisely measuring and correcting for phase-step errors.
    • It offers a more robust and efficient approach to phase retrieval in interferometry.
    • The method reduces the number of required interferograms, improving analysis efficiency.