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

Phasor Arithmetics01:13

Phasor Arithmetics

380
Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular...
380
Phasors01:12

Phasors

652
Phasors are a powerful mathematical tool used to analyze alternating current (AC) circuits. They provide a complex number representation of sinusoids, with the magnitude of the phasor equating to the amplitude of the sinusoid and the angle of the phasor representing the phase measured from the positive x-axis.
One of the significant benefits of using phasors is that they simplify the analysis of AC circuits by eliminating the time dependence of the current and voltage. This transformation...
652
Phasor Relationships for Circuit Elements01:16

Phasor Relationships for Circuit Elements

648
Phasor representation is a powerful tool used to transform the voltage-current relationship for resistors, inductors, and capacitors from the time domain to the frequency domain. This transformation simplifies the analysis of alternating current (AC) circuits.
In the time domain, Ohm's law provides a fundamental relation between the current flowing through a resistor and the voltage across it:
648
Electric Field of Two Equal and Opposite Charges01:30

Electric Field of Two Equal and Opposite Charges

6.3K
Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...
6.3K
X-ray Crystallography02:18

X-ray Crystallography

24.2K
The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
24.2K
Kirchoff's Laws using Phasors01:12

Kirchoff's Laws using Phasors

504
Analyzing AC circuits in electrical systems is a fundamental aspect of electrical engineering. In these circuits, AC power is supplied from a distribution panel and wired to various household appliances in parallel. To perform a comprehensive analysis, electrical engineers use Kirchhoff's voltage and current laws, which are equally applicable in AC circuits as in DC circuits.
Kirchhoff's voltage law (KVL) states that the sum of phasor voltages around a closed loop in an AC circuit...
504

You might also read

Related Articles

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

Sort by
Same author

Crosstalk Effects in a Dual ToF-Based Tactile-Proximity Sensing Platform Integrated in a Flat PMMA Light Guide.

Sensors (Basel, Switzerland)·2025
Same author

Time-of-flight signal processing for FTIR-based tactile sensors.

Optics express·2025
Same author

Cohesive framework for non-line-of-sight imaging based on Dirac notation.

Optics express·2024
Same author

Structure-aware parametric representations for time-resolved light transport.

Optics letters·2022
Same author

Use of Generic Antiretroviral Drugs and Single-Tablet Regimen De-Simplification for the Treatment of HIV Infection in Spain.

AIDS research and human retroviruses·2022
Same author

How patients with COVID-19 managed the disease at home during the first wave in Spain: a cross-sectional study.

BMJ open·2021

Related Experiment Video

Updated: Sep 11, 2025

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

Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans

Published on: September 13, 2017

8.0K

Forward and inverse diffraction in phasor fields.

Jorge Garcia-Pueyo, Adolfo Muñoz

    Optics Express
    |August 13, 2025
    PubMed
    Summary
    This summary is machine-generated.

    Phasor fields enable non-line-of-sight (NLOS) imaging by treating a relay wall as a virtual camera. This study reinterprets phasor fields as an inverse diffraction method, offering new analogies and a well-posed formulation for hidden object reconstruction.

    More Related Videos

    Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
    08:44

    Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

    Published on: August 22, 2017

    7.8K
    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

    9.9K

    Related Experiment Videos

    Last Updated: Sep 11, 2025

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

    Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans

    Published on: September 13, 2017

    8.0K
    Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
    08:44

    Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

    Published on: August 22, 2017

    7.8K
    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

    9.9K

    Area of Science:

    • Optics
    • Computational Imaging
    • Inverse Problems

    Background:

    • Non-line-of-sight (NLOS) imaging reconstructs scenes hidden from direct view using scattered light.
    • Phasor fields offer a method for NLOS imaging by transforming it into virtual line-of-sight (LOS) imaging.
    • The Rayleigh-Sommerfeld diffraction (RSD) integral is a key component in phasor field methods.

    Purpose of the Study:

    • To re-interpret phasor fields as an inverse diffraction method for NLOS imaging.
    • To introduce novel analogies for understanding the role of the relay wall in NLOS imaging.
    • To formulate and solve the NLOS imaging problem as an inverse diffraction problem.

    Main Methods:

    • Leveraging the unitary property of the forward diffraction operator and its dual space.
    • Developing two new analogies for NLOS imaging: phase conjugator and hologram recorder.
    • Formulating NLOS imaging as an inverse diffraction problem ('inverse phasor fields') and solving it numerically.

    Main Results:

    • Demonstrating that phasor fields can be understood as an inverse diffraction technique.
    • Establishing conditions under which the inverse diffraction formulation of NLOS imaging is well-posed.
    • Proposing a new quality metric for NLOS imaging based on the forward diffraction operator's matrix rank.

    Conclusions:

    • Phasor fields provide a powerful framework for solving the inverse problem of NLOS imaging.
    • The inverse phasor fields formulation clarifies the ill-posed nature of NLOS imaging and identifies well-posed conditions.
    • The proposed quality metric enhances the analysis of NLOS imaging system resolution.