Related Experiment Video
Updated: Aug 4, 2026

Synthetic, Multi-Layer, Self-Oscillating Vocal Fold Model Fabrication
Published on: December 2, 2011
A novel unsplit perfectly matched layer for the second-order acoustic wave equation
Youneng Ma1, Jinhua Yu1, Yuanyuan Wang2
1National Key Laboratory of ASIC and System of Fudan University, Shanghai 200030, China; Department of Electronic Engineering, Fudan University, Shanghai 200433, China.
Abstract:
When solving acoustic field equations by using numerical approximation technique, absorbing boundary conditions (ABCs) are widely used to truncate the simulation to a finite space. The perfectly matched layer (PML) technique has exhibited excellent absorbing efficiency as an ABC for the acoustic wave equation formulated as a first-order system. However, as the PML was originally designed for the first-order equation system, it cannot be applied to the second-order equation system directly. In this article, we aim to extend the unsplit PML to the second-order equation system. We developed an efficient unsplit implementation of PML for the second-order acoustic wave equation based on an auxiliary-differential-equation (ADE) scheme. The proposed method can benefit to the use of PML in simulations based on second-order equations. Compared with the existing PMLs, it has simpler implementation and requires less extra storage. Numerical results from finite-difference time-domain models are provided to illustrate the validity of the approach.
Related Concept Videos
Equations of Wave Motion
Sound Waves: Interference
Standing Waves in a Cavity
Modes of Standing Waves: II
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
Second-order Op Amp Circuits
The analysis of such circuits follows a systematic approach, similar to the second-order RLC circuits. In practical scenarios, bulky inductors are rarely employed due to their size and weight. This means...
Second Order systems II
If ζ...

