Related Experiment Video
Updated: Dec 17, 2025
09:02
Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
Published on: January 31, 2025
1.2K
Wave propagation in immersed waveguide with radial inhomogeneity
A Vatulyan1, V Yurov1, R Nedin1
1Department of Elasticity Theory, Institute of Mathematics, Mechanics and Computer Sciences named after I. I. Vorovich, Southern Federal University, Milchakova 8a, 344090 Rostov-on-Don, Russia.
Ultrasonics
|June 26, 2020
Summary
This study analyzes wave propagation in inhomogeneous cylindrical waveguides. Researchers developed a method using Fourier transforms and residue theory to understand wave behavior under external medium influence.
Area of Science:
- Physics
- Wave Mechanics
- Electromagnetism
Background:
- Wave propagation in waveguides is crucial for various technologies.
- Understanding external medium influence on waveguides is complex.
- Inhomogeneous cylindrical waveguides present unique challenges.
Purpose of the Study:
- To investigate wave propagation in inhomogeneous cylindrical waveguides.
- To model the influence of an external medium using impedance boundary conditions.
- To analyze the structural properties of the dispersion set.
Main Methods:
- Solving boundary value problems for first-order vector differential equations.
- Utilizing Fourier transform space and residue theory.
- Calculating residues for numerically given functions with first-order poles.
Main Results:
- Wave fields on the waveguide's internal wall were obtained.
- The study analyzed different inhomogeneity laws.
- The impact of various boundary conditions was assessed.
Conclusions:
- The developed method effectively analyzes wave propagation in complex waveguide systems.
- The findings provide insights into the behavior of waves in inhomogeneous media.
- This research contributes to the understanding of waveguide dynamics.
Related Concept Videos
01:07Propagation of Waves
2.7K
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...
2.7K
01:28Standing Waves in a Cavity
1.3K
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:
1.3K
01:30Plane Electromagnetic Waves I
4.7K
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 to be a...
The EM field is assumed to be a...
4.7K
01:30Electromagnetic Waves in Matter
3.8K
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 medium, μ.
Furthermore,...
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 medium, μ.
Furthermore,...
3.8K
01:27Traveling Waves: Lossless Lines
420
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.
420
01:23Steady, Laminar Flow in Circular Tubes
830
Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...
830