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

Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

251
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
251
Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

2.7K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
2.7K
Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

1.0K
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:...
1.0K
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

3.6K
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...
3.6K
Propagation Speed of Electromagnetic Waves01:30

Propagation Speed of Electromagnetic Waves

3.3K
Electromagnetic waves are consistent with Ampere's law. Assuming there is no conduction current Ampere's law is given as:
3.3K
Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

128
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.
128

You might also read

Related Articles

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

Sort by
Same journal

Reducing computational complexity in adaptive sound zones with online room impulse response estimation.

The Journal of the Acoustical Society of America·2026
Same journal

Small-sample unbiased linear coherence estimators for a complex Gaussian random process.

The Journal of the Acoustical Society of America·2026
Same journal

Automated detection and annotation of toothed-whale whistles using transformer-based instance segmentation.

The Journal of the Acoustical Society of America·2026
Same journal

Effect of temperature and concentration on the thermo-acoustic behavior of vitamin B5 (d-Panthenol) solutions in the presence of glycol additives.

The Journal of the Acoustical Society of America·2026
Same journal

The visome: Using cognitive networks to examine lip-reading errors in English words.

The Journal of the Acoustical Society of America·2026
Same journal

Resident subjective annoyance responses to combined road traffic and train-induced structure-borne noise: Effects of sound environment.

The Journal of the Acoustical Society of America·2026
See all related articles

Related Experiment Video

Updated: Jun 18, 2025

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Published on: February 8, 2014

12.2K

A fast algorithm for the two-dimensional Helmholtz transmission problem with large multiple scattering

M Ganesh1, Stuart C Hawkins2

  • 1Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado 80401, USA.

The Journal of the Acoustical Society of America
|August 5, 2024
PubMed
Summary
This summary is machine-generated.

We created an efficient algorithm to simulate acoustic scattering from many objects. This method uses cylindrical wavefunctions and the fast multipole method for linear computational complexity, proving effective for thousands of scatterers.

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

15.3K
Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

11.6K

Related Experiment Videos

Last Updated: Jun 18, 2025

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Published on: February 8, 2014

12.2K
Simulation, Fabrication and Characterization of THz Metamaterial Absorbers
13:44

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

Published on: December 27, 2012

15.3K
Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

11.6K

Area of Science:

  • Computational physics
  • Acoustics
  • Numerical methods

Background:

  • Simulating acoustic scattering is computationally intensive, especially with numerous objects.
  • Existing methods struggle with scalability for large configurations of penetrable scatterers.

Purpose of the Study:

  • To develop an efficient and scalable algorithm for simulating multiple acoustic scattering.
  • To handle complex interactions between a large number of penetrable scatterers in 2D configurations.

Main Methods:

  • Reformulation of the Helmholtz transmission equation using boundary integral equations.
  • Reduction of the boundary integral system for efficient wave interaction evaluation.
  • Representation of scatterer interactions using cylindrical wavefunction expansions and the fast multipole method.

Main Results:

  • The algorithm achieves linear complexity with respect to the number of scatterers.
  • Demonstrated efficiency for simulating acoustic scattering in configurations from hundreds to hundreds of thousands of scatterers.
  • Successful simulation of multiple acoustic scattering by large numbers of penetrable scatterers.

Conclusions:

  • The developed three-stage algorithm is highly efficient for simulating acoustic scattering.
  • The approach offers significant scalability for problems involving a vast number of scatterers.
  • This method provides a powerful tool for analyzing complex acoustic wave phenomena.