Related Experiment Video
Updated: Feb 8, 2026

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
Published on: January 3, 2016
Separability of wave solutions in nonlinear brass instrument modelling
R L Harrison-Harsley1, S Bilbao1
1Acoustics and Audio Group, University of Edinburgh, Edinburgh, United Kingdom.
This study examines traveling wave assumptions in brass instrument acoustics. Findings reveal small wave interactions in tubes and nonlinear backscattering due to area variations, impacting acoustic modeling.
Area of Science:
- Acoustics and Musical Instrument Physics
Background:
- Traveling wave models are standard for brass instrument acoustics, including nonlinear behavior.
- Real instrument geometries may violate assumptions underlying simplified traveling wave solutions.
Purpose of the Study:
- To investigate the validity of traveling wave assumptions in realistic brass instrument geometries.
- To analyze wave interactions and backscattering effects in specific geometric configurations.
Main Methods:
- Analysis of wave propagation in a cylindrical tube to assess forward and backward wave interaction.
- Investigation of nonlinear wave backscattering caused by cross-sectional area variations in a tube.
Main Results:
- A small degree of interaction between forward and backward traveling waves was observed in a cylindrical tube.
- Nonlinear backscattering of traveling waves was identified as a significant effect resulting from changes in tube cross-sectional area.
Conclusions:
- The study highlights limitations of idealized traveling wave models for real brass instruments.
- Geometric features like area variations can cause significant nonlinear wave phenomena, necessitating refined acoustic models.
Related Concept Videos
Solution Formation
This selective...
Nonlinear Pharmacokinetics: Causes of Nonlinearity
Nonlinear drug absorption can occur when the process is rate-limited by solubility, carrier-mediated transport systems, or saturation of the presystemic gut wall or hepatic metabolism. For instance, high doses of riboflavin...
The Wave Nature of Light
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
Instrument Calibration
Analytical Balance Calibration
An analytical balance measures mass and requires regular calibration to...
Instrumentation Amplifier
To overcome this challenge, an ECG machine utilizes an instrumentation amplifier. This specialized amplifier is...

