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

Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

1.4K
Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
1.4K
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

1.0K
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
1.0K
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

2.0K
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity....
2.0K

You might also read

Related Articles

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

Sort by
Same author

Non-negative intensity formulations for stochastically excited finite structures.

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

Subwavelength monopole resonance of a cylindrical void in a soft material (L).

The Journal of the Acoustical Society of America·2025
Same author

Introduction to the Special Issue on wave phenomena in periodic, near-periodic, and locally resonant systems

The Journal of the Acoustical Society of America·2025
Same author

Asymmetric sound scattering by gratings of monopolar and dipolar resonators in a viscoelastic materiala).

The Journal of the Acoustical Society of America·2024
Same author

Scaling relations for sound scattering by a lattice of hard inclusions in a soft mediuma).

The Journal of the Acoustical Society of America·2023
Same author

Non-negative aeroacoustic source contributions to radiated sound power.

The Journal of the Acoustical Society of America·2023

Related Experiment Video

Updated: Mar 8, 2026

Author Spotlight: Development of a Scaffold-Free Acoustic Assembly Method for High-Quality 3D Cell Spheroid Culture
05:17

Author Spotlight: Development of a Scaffold-Free Acoustic Assembly Method for High-Quality 3D Cell Spheroid Culture

Published on: October 13, 2023

1.7K

Acoustic scattering for 3D multi-directional periodic structures using the boundary element method.

Mahmoud Karimi1, Paul Croaker1, Nicole Kessissoglou1

  • 1School of Mechanical and Manufacturing Engineering, UNSW Australia, Sydney, Australia.

The Journal of the Acoustical Society of America
|February 3, 2017
PubMed
Summary
This summary is machine-generated.

This study introduces an efficient boundary element method for 3D periodic acoustic scattering problems. The approach significantly reduces computational costs for analyzing structures like sonic crystal barriers.

More Related Videos

Measuring Spatially- and Directionally-varying Light Scattering from Biological Material
11:57

Measuring Spatially- and Directionally-varying Light Scattering from Biological Material

Published on: May 20, 2013

14.0K
Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.7K

Related Experiment Videos

Last Updated: Mar 8, 2026

Author Spotlight: Development of a Scaffold-Free Acoustic Assembly Method for High-Quality 3D Cell Spheroid Culture
05:17

Author Spotlight: Development of a Scaffold-Free Acoustic Assembly Method for High-Quality 3D Cell Spheroid Culture

Published on: October 13, 2023

1.7K
Measuring Spatially- and Directionally-varying Light Scattering from Biological Material
11:57

Measuring Spatially- and Directionally-varying Light Scattering from Biological Material

Published on: May 20, 2013

14.0K
Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.7K

Area of Science:

  • Computational physics
  • Acoustics engineering
  • Numerical analysis

Background:

  • Solving three-dimensional (3D) exterior acoustic scattering problems with multi-directional periodicity presents significant computational challenges.
  • Existing methods often require substantial computational time and memory, limiting their application to complex periodic structures.

Purpose of the Study:

  • To propose an efficient boundary element formulation for 3D exterior acoustic scattering problems with multi-directional periodicity.
  • To significantly reduce computational time and storage requirements for solving the resulting linear systems.
  • To provide a versatile method applicable to arbitrary structures in full and half spaces.

Main Methods:

  • Representing the multi-directional periodic acoustic problem using a multilevel block Toeplitz matrix.
  • Exploiting the Toeplitz structure to reduce computational complexity.
  • Implementing the generalized minimal residual (GMRES) method for solving linear systems.
  • Embedding the matrix into a multilevel block circulant matrix for efficient matrix-vector products.
  • Utilizing multi-dimensional discrete Fourier transform (DFT) to accelerate matrix-vector computations.

Main Results:

  • The proposed boundary element formulation significantly reduces computational time and storage.
  • The method effectively handles multi-directional periodicity in acoustic scattering problems.
  • Demonstrated applicability to sonic crystal barriers with rigid cylindrical and locally resonant C-shaped scatterers.
  • Validated effectiveness for periodicity in one, two, or three directions.

Conclusions:

  • The developed boundary element method offers an efficient and robust solution for 3D exterior acoustic scattering problems with multi-directional periodicity.
  • The technique provides a powerful tool for analyzing complex periodic acoustic structures, such as sonic crystals.
  • The computational savings enable the study of more intricate designs and configurations in acoustic engineering.