The transient oscillation of an air bubble injected underwater is investigated. This oscillation generates a decaying acoustic signal that can be remotely received and analyzed. The narrowband spectrum of this signal is centered at the bubble oscillation frequency. These results are extended to a plume of bubbles generated by a linear array of nozzles. This models bubble behavior in applications such as passive diver localization, bubble depth measurement, detection of ocean gases, and gas pipe leakage. The results presented show that these bubbles can generate a sufficiently strong acoustic signal that can be utilized for passive remote sensing.
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In a recent report, Gulliver and Speidel showed that complete sets of aperiodic and - in some cases periodic - necklaces can be generated for arbitrary lengths as fixed-length subsets of variable-length T-codes. The T-codes to which they applied this observation were specifically T-codes constructed by systematic T-augmentation, that is by T-augmentation sequences in which each T-expansion parameter is 1 (simple T-augmentation) and where the T-codes A(p1,p2,1/4,pi) at each T-augmentation level i do not contain any codewords shorter than pi (strictly minimal T-augmentation). This present paper generalizes their result to arbitrary T-codes and formalizes their earlier result as a special case of the general result.
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