A generalized network formulation for acoustic scattering
作者:
Paul J. Titterton, Jr.,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1997)
卷期:
Volume 101,
issue 1
页码: 107-118
ISSN:0001-4966
年代: 1997
DOI:10.1121/1.418417
出版商: Acoustical Society of America
数据来源: AIP
摘要:
The discretized Helmholtz and equivalence integral equations yield the impedance representation of a generalized network formulation for acoustic scattering. Trans- and self-impedances relate the ensonification, the scattered field, and the pressure and velocity on the scatterer’s surface,S; the scatterer’s dry impedance loadsS. This formulation suggests applying analysis tools from electrical circuit theory: network element abstraction and change of field-variable basis. The scatterer’s wet admittance (impedance) corresponds to the augmented driving point admittance (impedance) from electrical network theory. The lower-branch modes of the scattering from a submerged spherical shell occur when the reactance looking into the fluid fromSnegates that looking into the shell. Change of basis onStransforms the impedance representation into the admittance, arbitrary-reference, and network-scattering representations. The impedance, admittance, and arbitrary-reference representations naturally separate hard, soft, and intermediate background scattering, respectively. Scattering from passive objects with limited vibrational degrees of freedom is bounded: the lower-branch modes of the submerged spherical shell approach this bound. No bound exists when the vibrational degrees of freedom are unlimited.
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