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Propagation of limited-diffraction X-waves in dissipative media

机译:有限衍射X波在耗散介质中的传播

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Diffractionless solutions of the wave equation in the form ofnX-waves have previously been obtained based on the inviscid form of thenwave equation. A new general solution to the cylindrically symmetricnwave equation for a medium with classical viscous losses is obtained.nParticular solutions called dissipative Arcsin X-waves have been derivednfrom this general solution. The properties of these waves are discussednfor both infinite and finite size transducers and for different viscousnliquids. To calculate the field produced by a finite transducerndiameter, we have derived a dissipative form of the Rayleigh integral
机译:先前已经根据thenwave方程的无形形式获得了nX波形式的波动方程的无衍射解。获得了具有经典粘性损失的介质的圆柱对称波方程的一个新的通用解。n从该通用解导出了称为耗散阿克辛X波的特殊解。对于无限和有限尺寸的换能器以及不同的粘性液体,都讨论了这些波的特性。为了计算有限换能器直径产生的场,我们导出了瑞利积分的耗散形式

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