15-70 Aladin H. Kamel

Acoustic fields in the presence of an impedance cone (393K, pdf) Jul 20, 15

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Abstract. We consider the boundary-value problem for the Helmholtz equation connected with an infinite circular cone with an impedance boundary on its face. The scheme of solution includes applying the Kontorovich-Lebedev (KL) transform, derivation of an integral equation satisfied by the KL spectral amplitude and obtaining alternative near and far field representations together with the conditions of validity of these representations for a given set of problem parameters. As such, this article presents a second application to a problem solving strategy that was proposed in [1].

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