Propagation of limited-diffraction X-waves in dissipative media

Diffractionless solutions of the wave equation in the form of X-waves have previously been obtained based on the inviscid form of the wave equation. A new general solution to the cylindrically symmetric wave equation for a medium with classical viscous losses is obtained. Particular solutions called...

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Bibliographic Details
Published in:IEEE transactions on ultrasonics, ferroelectrics, and frequency control ferroelectrics, and frequency control, 2002-06, Vol.49 (6), p.675-682
Main Authors: Sushilov, N.V., Tavakkoli, J., Cobbold, R.S.C.
Format: Article
Language:English
Subjects:
Absorption
Acoustics
Apertures
Associate members
Diffraction
Dissipation
Exact sciences and technology
Ferroelectric materials
Fundamental areas of phenomenology (including applications)
Integral equations
Integrals
Life members
Liquids
Mathematical analysis
Partial differential equations
Physics
Propagation losses
Transducers
Transduction
acoustical devices for the generation and reproduction of sound
Wave equations
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Summary:Diffractionless solutions of the wave equation in the form of X-waves have previously been obtained based on the inviscid form of the wave equation. A new general solution to the cylindrically symmetric wave equation for a medium with classical viscous losses is obtained. Particular solutions called dissipative Arcsin X-waves have been derived from this general solution. The properties of these waves are discussed for both infinite and finite size transducers and for different viscous liquids. To calculate the field produced by a finite transducer diameter, we have derived a dissipative form of the Rayleigh integral.
ISSN:0885-3010
1525-8955
DOI:10.1109/TUFFC.2002.1009326