Related Experiment Video
Updated: Sep 4, 2025
09:43
Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy
Published on: August 13, 2019
9.5K
Frontal waves and transmissions for temporal laminates and imperfect chiral interfaces.
A B Movchan1, N V Movchan1, I S Jones1,2
1Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UK.
Summary
This study analyzes wave patterns in periodically structured materials, focusing on temporal interfaces and imperfect chiral systems. Researchers identified conditions for wave growth and analyzed discontinuous displacements in chiral elastic systems.
Area of Science:
- Physics
- Materials Science
- Wave Phenomena
Background:
- Causality is fundamental in physics, but wave phenomena can occur at temporal interfaces.
- Time-dependent coefficients in governing equations highlight the importance of temporal interfaces.
- Spatial interfaces are common, but temporal interfaces become critical under specific conditions.
Purpose of the Study:
- To analyze wave patterns in structures with spatial and temporal periodicity.
- To investigate phenomena at imperfect chiral interfaces.
- To study frontal waves and identify regimes of temporal solution growth.
Main Methods:
- Analytical study of wave propagation.
- Asymptotic approximations for complex systems.
- Numerical examples to illustrate findings.
Main Results:
- Identification of regimes where wave solutions grow in time.
- Analysis of frontal waves at temporal interfaces.
- Consideration of discontinuous displacements in vector chiral elastic systems.
Conclusions:
- Wave phenomena at temporal interfaces are significant, especially with time-dependent equations.
- Imperfect chiral interfaces introduce complexities in wave behavior.
- The study provides analytical and numerical insights into wave transmission in structured media.
Related Concept Videos
01:07Propagation of Waves
2.4K
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...
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...
2.4K
01:27Traveling Waves: Lossless Lines
197
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.
197
01:28Standing Waves in a Cavity
1.0K
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:
1.0K
01:30Plane Electromagnetic Waves I
4.2K
The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed...
The EM field is assumed...
4.2K
01:07Interference and Superposition of Waves
5.4K
When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
5.4K
01:12Bewley Lattice Diagram
835
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.
835