Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Bewley Lattice Diagram

Bewley Lattice Diagram

The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.

Standing Waves in a Cavity

Standing Waves in a Cavity

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:

The de Broglie Wavelength

The de Broglie Wavelength

In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...

Traveling Waves: Lossless Lines

Traveling Waves: Lossless Lines

The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx and a shunt capacitance CΔx.

Propagation of Waves

Propagation of Waves

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...

Trends in Lattice Energy: Ion Size and Charge

Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:

You might also read

Related Articles

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

Sort by

Same author

Homogenization of Thermal Properties in Metaplates.

Materials (Basel, Switzerland)·2024

Same author

Revisiting imperfect interface laws for two-dimensional elastodynamics.

Proceedings. Mathematical, physical, and engineering sciences·2021

Same author

Energy Localization through Locally Resonant Materials.

Materials (Basel, Switzerland)·2020

Same author

Modelling resonant arrays of the Helmholtz type in the time domain.

Proceedings. Mathematical, physical, and engineering sciences·2018

Same author

Influence of the neck shape for Helmholtz resonators.

The Journal of the Acoustical Society of America·2018

Same author

Light scattering by periodic rough surfaces: equivalent jump conditions.

Journal of the Optical Society of America. A, Optics, image science, and vision·2017

Search research articles

Related Experiment Video

Updated: Jun 17, 2025

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

Wave transmission in quasi-periodic lattices.

Marco Moscatelli¹, Claudia Comi¹, Jean-Jacques Marigo²

¹Department of Civil and Environmental Engineering, Politecnico di Milano , Milan, Italy.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|August 12, 2024

Summary

Researchers demonstrate how quasi-periodic lattices control wave propagation using an equivalent discrete system. This approach reveals bulk spectrum patterns and topological modes in metamaterials.

Keywords:

metamaterial quasi-periodicity topological modes

More Related Videos

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Related Experiment Videos

Last Updated: Jun 17, 2025

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Area of Science:

Physics
Materials Science
Acoustics

Background:

Quasi-periodic lattices exhibit unique dynamic properties for wave manipulation.
Controlling wave propagation in engineered structures is crucial for advanced applications.

Purpose of the Study:

To demonstrate that quasi-periodic locally resonant systems can be modeled by an equivalent discrete system.
To analyze wave propagation properties, including bulk spectrum and topological modes, within these systems.

Main Methods:

Approximation of quasi-periodic systems as periodic with large periods.
Definition of an equivalent discrete system to represent lattice properties.
Analysis of bulk spectrum and topological modes using a specific quasi-periodic lattice example.

Main Results:

The study successfully models complex quasi-periodic lattices using simpler discrete systems.
The Hofstadter butterfly pattern was observed in the bulk spectrum.
Topological modes were identified and analyzed in the context of the quasi-periodic lattice.

Conclusions:

Equivalent discrete systems provide a powerful tool for understanding wave dynamics in quasi-periodic metamaterials.
The findings facilitate the design of novel acoustic and elastic metamaterials for wave control.