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 series II01:21

Properties of Fourier series II

154
Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
A function f(t) is...
154
Properties of Fourier series I01:20

Properties of Fourier series I

308
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)...
308
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

3.4K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
3.4K
Properties of Fourier Transform II01:24

Properties of Fourier Transform II

213
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...
213
Properties of Fourier Transform I01:21

Properties of Fourier Transform I

174
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...
174
Convergence of Fourier Series01:21

Convergence of Fourier Series

148
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...
148

You might also read

Related Articles

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

Sort by
Same author

Epithelial cells fire voltage spikes.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Entropic Locking Stabilized Macroscopic Ferromagnetic Phase in Colloidal Chiral Liquid Crystals.

ACS nano·2026
Same author

Facilitating a 3D Granular Flow with an Obstruction.

Physical review letters·2025
Same author

Anisotropic Tactile Sensors: Constructive Designs, Challenges, and Emerging Applications.

Chem & bio engineering·2025
Same author

Role of kinematic constraints in the time reversal symmetry breaking of a model active matter.

PNAS nexus·2025
Same author

Direct liquefying organic cages into porous liquid molecules for enhanced near-infrared photothermal conversion and catalysis.

Nature communications·2025
Same journal

Chemotactic self-organization captures the dynamics of mammalian hair follicle patterning.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Tomographic imaging of superconducting order using particle-hole interference.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Inhibitory potential of autologous neutralizing antibodies sets quantitative limits on the rebound-competent HIV-1 reservoir.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Inferring epidemiological parameters under an infectious phylogeography model with visitor dynamics.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Analytical modeling for suction cup designs for skin-interfaced wearable devices.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Improving cell-free metabolism through direct integration of artificial respiratory chains.

Proceedings of the National Academy of Sciences of the United States of America·2026
See all related articles

Related Experiment Video

Updated: Jul 1, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.5K

Exceptions to Fourier's Law at the Macroscale.

Kaikai Zheng1,2, Shankar Ghosh3, Steve Granick1,2

  • 1Center for Soft and Living Matter, Institute for Basic Science, Ulsan 44919, South Korea.

Proceedings of the National Academy of Sciences of the United States of America
|March 5, 2024
PubMed
Summary
This summary is machine-generated.

Fourier's law for heat transfer is challenged in translucent materials. Experiments reveal anomalous hot spots and non-Gaussian temperature profiles, suggesting internal radiation and defects create new heat transport pathways.

Keywords:
Fourier lawheat transferradiationspectroscopy

More Related Videos

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors
11:15

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors

Published on: May 30, 2016

25.2K
Simulating Imaging of Large Scale Radio Arrays on the Lunar Surface
06:14

Simulating Imaging of Large Scale Radio Arrays on the Lunar Surface

Published on: July 30, 2020

4.9K

Related Experiment Videos

Last Updated: Jul 1, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.5K
A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors
11:15

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors

Published on: May 30, 2016

25.2K
Simulating Imaging of Large Scale Radio Arrays on the Lunar Surface
06:14

Simulating Imaging of Large Scale Radio Arrays on the Lunar Surface

Published on: July 30, 2020

4.9K

Area of Science:

  • Materials Science
  • Thermodynamics
  • Physics

Background:

  • Fourier's law, established 200 years ago, is the standard model for heat transfer analysis.
  • This law is mathematically analogous to Fick's law of mass diffusion.
  • Its applicability to translucent materials under specific conditions warrants re-examination.

Purpose of the Study:

  • To investigate the validity of Fourier's law for heat transport in translucent materials.
  • To compare model predictions with high-resolution experimental measurements.
  • To identify deviations from established heat transfer models.

Main Methods:

  • Experiments were conducted in a vacuum to eliminate convective heat transfer.
  • Infrared-based thermometry with millikelvin temperature resolution was employed.
  • Surface temperature profiles were analyzed after heat pulses and at steady state.

Main Results:

  • Observed macroscale non-Gaussian tails in surface temperature profiles post-heat pulses.
  • Identified macroscale anomalous hot spots in topographically rough samples at steady state.
  • Validated findings using two independent surface temperature measurement techniques.

Conclusions:

  • Discrepancies suggest Fourier's law is insufficient for describing heat transfer in these translucent materials.
  • Internal radiation interacting with material defects generates secondary heat sources, enabling non-local heat transport.
  • Findings propose novel heat management design strategies for polymers and inorganic glasses.