The S-Matrix and Acoustic Signal Structure in Simple and Compound Waveguides.
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UTAH UNIV SALT LAKE CITY DEPT OF MATHEMATICS
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This paper deals with the propagation of transient acoustic fields in waveguides that consist of a semi-infinite cylinder coupled to a resonant cavity or resonator. The walls of the waveguide are assumed to be rigid. The sources of the transient sound fields, or signals, are assumed to be localized in a bounded portion of the waveguide and to act for a finite interval of time. The goal of the work is to calculate such acoustic signals and to analyze how their structure depends on the sources and the geometry of the waveguide. Particular attention is given to the cases in which the signal sources or observation point, or both, lie in the cylinder and are far from the resonator. It is well known that in the cylindrical portion of the waveguide each signal can be decomposed into a series of modal waves. These waves are calculated and are shown to be asymptotically independent for large times.
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