ON THE THEORY OF SOUND REFLECTION IN AN OPEN-ENDED CYLINDRICAL TUBE
Abstract
A study was made of plane-sound-wave propagation within a cylindrical tube having an arbitrary cross section and extending indefinately from an open end. The reflection coefficient and the end correction (which characterizes the reflection coefficient at wave lengths large compared to the transverse tube dimensions) comprise a boundary-value formulation of the wave-propagation problem. The solution involves integral equations which in general cannot be evaluated exactly. Practical techniques including stationary or variational principles were employed to determine approximately the physical quantities. Another technique was based on the initial modification of an integral equation to utilize the possibility of an explicit and rigorous solution. Approximate forms of the reflection coefficient and end correction were obtained which yielded exact results for a tube of circular cross section. A brief comparison is included to the circular tube.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1953
- Accession Number
- AD0018357
Entities
People
- Harold Levine
Organizations
- Harvard University