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

Standing Waves in a Cavity01:28

Standing Waves in a Cavity

936
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
936
Electromagnetic Waves in Matter01:30

Electromagnetic Waves in Matter

3.0K
Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the...
3.0K
Effective Value of a Periodic Waveform01:07

Effective Value of a Periodic Waveform

552
The concept of effective value, the root mean square (RMS) value, is crucial in understanding electrical circuits and power delivery. This idea emerges from the necessity to measure the effectiveness of a voltage or current source in supplying power to a resistive load.
The effective value of a periodic current represents the direct current (DC) that conveys the same average power to a resistor as the periodic current itself. This concept is crucial when assessing AC circuits. To determine the...
552
Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

1.1K
Maxwell's equations for electromagnetic fields are related to source charges, either static or moving. These fields act on a test charge, whose trajectory can thus be determined using suitable boundary conditions. The objective of electromagnetism is thus theoretically complete.
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations:...
1.1K
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
Theory of Metallic Conduction01:17

Theory of Metallic Conduction

1.3K
The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
1.3K

You might also read

Related Articles

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

Sort by
Same author

Anisotropic Second-Harmonic Generation in Chiral Hybrid Palladium Halides.

Angewandte Chemie (International ed. in English)·2025
Same author

1D Van Der Waals Superlattices for Polarization-Sensitive Photodetectors.

Advanced materials (Deerfield Beach, Fla.)·2025
Same author

Bulk-spatiotemporal vortex correspondence in gyromagnetic zero-index media.

Nature·2025
Same author

Exceptional lines and higher-order exceptional points enabled by uniform loss.

Scientific reports·2025
Same author

Topological transition of Pancharatnam-Berry phase in a nonlocal twisted bilayer metasurface.

Scientific reports·2025
Same author

Coherent Acoustic Phonon Dynamics and Coupling in Metal-van der Waals Heterostructure Nanocavities.

ACS nano·2025

Related Experiment Video

Updated: Jul 11, 2025

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

944

Nonlocal effective medium theory for phononic temporal metamaterials.

Neng Wang1, Fanghu Feng1, Guo Ping Wang1

  • 1China State Key Laboratory of Radio Frequency Heterogeneous Integration, College of Electronics and Information Engineering, Shenzhen University, Shenzhen 518060, People's Republic of China.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|November 17, 2023
PubMed
Summary

We developed a nonlocal effective medium theory for phononic temporal metamaterials. This advanced theory accurately models materials beyond the long-wavelength limit, revealing new physics like nonzero Willis coupling.

Keywords:
Willis couplingeffective medium theorynonlocalityphononic temporal metamaterials

More Related Videos

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers
13:44

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

Published on: December 27, 2012

15.4K
Fabricating Metamaterials Using the Fiber Drawing Method
11:57

Fabricating Metamaterials Using the Fiber Drawing Method

Published on: October 18, 2012

13.8K

Related Experiment Videos

Last Updated: Jul 11, 2025

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

944
Simulation, Fabrication and Characterization of THz Metamaterial Absorbers
13:44

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

Published on: December 27, 2012

15.4K
Fabricating Metamaterials Using the Fiber Drawing Method
11:57

Fabricating Metamaterials Using the Fiber Drawing Method

Published on: October 18, 2012

13.8K

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Acoustics

Background:

  • Phononic temporal metamaterials offer unique wave manipulation capabilities.
  • Existing effective medium theories (EMTs) often rely on long-wavelength approximations.
  • Understanding nonlocal effects is crucial for accurate modeling beyond these limits.

Purpose of the Study:

  • To develop a nonlocal effective medium theory (EMT) for phononic temporal metamaterials.
  • To derive closed-form expressions for effective constitutive parameters.
  • To investigate the emergence of Willis coupling and band dispersion characteristics.

Main Methods:

  • Application of the multiscale technique to develop the nonlocal EMT.
  • Derivation of effective constitutive parameters from first principles.
  • Analysis of band dispersion and Willis coupling coefficients.

Main Results:

  • The nonlocal EMT provides closed-form expressions for effective parameters.
  • Phononic temporal metamaterials are shown to be reciprocal with symmetric band dispersion.
  • Nonzero Willis coupling coefficients emerge due to time modulation and broken time-reversal symmetry, even without spatial symmetry breaking, when nonlocal effects are considered.

Conclusions:

  • The nonlocal EMT is more accurate than local EMT for bulk band calculations at high wavenumbers.
  • This theory is essential for understanding nonlocal effects at temporal boundaries.
  • The developed nonlocal EMT is a valuable tool for designing phononic temporal metamaterials beyond the long-wavelength limit.