This paper considers acoustic scattering by and propagation through line andplane arrays of air-bubbles in liquid media. The self-consistent method is usedto derive the effective scattering function of a single bubble embedded in thearrays, incorporating all multiple scattering processes. For the line case, anexact result is derived. In the plane array situation, only an approximateanalytic result is possible. Numerical computations have been carried out toshow the multiple scattering effects on wave scattering. It is shown thatdepending on the distance between bubbles the resonance peak of a single bubblecan either be broadened or narrowed due to multiple scattering and it shows anoscillatory behavior as the distance changes. Meanwhile, the peak scatteringamplitude is also be either enhanced or reduced. The previously predictedstrong enhancement, however, is not evident. For plane arrays, the usualresonant scattering of a single bubble in absence of other bubbles can besuppressed by multiple scattering when the distance between bubbles issufficiently small. As the distance increases, the resonant scattering startsto appear, and the resonance peak position is alternately shifted towardshigher and lower values. Moreover, it is predicted that wave propagationthrough a plane bubble array can be significantly inhibited in a range offrequencies slightly higher than the natural frequency of a single bubble,possibly a useful feature for noise screening. The ambiguities in the previousresults are pointed out.
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