Abstract
A novel formalism is proposed for the exact isolation of resonances from scattered waves for acoustic wave scattering from elastic or liquid bodies. The resonance scattering function (RSF) consisting of purely resonance information is proposed. Both magnitudes and phases of isolated resonances can be correctly obtained by using the proposed formalism while previous works based on the conventional resonance scattering theory (RST) can produce only magnitude correctly. The reason why previous works using RST could obtain correct magnitude information of resonances for the case of acoustic wave scattering is explained. Acoustic wave scattering from a variety of submerged bodies is analyzed by utilizing the RSF and the isolated resonances were compared with previously published studies. The exact π-phase shift through resonances and at the anti-resonances caused by the interaction between adjacent resonances, which has never been obtained by using RST, shows that the proposed formalism properly extracts the resonances from scattered waves. Due to the differences in phases, the novel formalism and the conventional RST generate different resonance spectrum. For elastic wave scattering, even magnitudes of resonances isolated by the proposed formalism will be different from those obtained by the conventional RST. a)Also at Dept. of Mech. Eng., KOPEC, 150 Duckjin-Dong, Yusung-ku, Taejon, 305-353 Korea.
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