Diffraction of Plane Acoustic Waves and Pulses as a Singular Perturbation Problem
- 1 September 1969
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (9) , 1795-1803
- https://doi.org/10.1063/1.1665029
Abstract
The diffraction of plane waves and pulses by cylindrical cavities is studied as a singular perturbation problem for long waves and broad pulses. The solution, which is obtained to a given order of approximation by the method of matched asymptotic expansions, is applicable to arbitrary cavity shapes and, in the case of pulse diffraction, incident profiles of arbitrary form.Keywords
This publication has 3 references indexed in Scilit:
- Use of Sound Pulses for a Study of Circumferential WavesThe Journal of the Acoustical Society of America, 1966
- The transient behavior of diffraction of plane pulse by a circular cylinderInternational Journal of Engineering Science, 1964
- Diffraction of sound pulses by a fluid cylinderMathematical Proceedings of the Cambridge Philosophical Society, 1964