Time-Reversal Analogy by Nonlinear Acoustic–Gravity Wave Triad Resonance
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Time reversal of free-surface water (gravity) waves due to a sudden change in the effective gravity has been extensively studied in recent years. Here, we show that an analogy to time-reversal can be obtained using nonlinear acoustic-gravity wave theory. More specifically, we present a mathematical model for the evolution of a time-reversed gravity wave packet from a nonlinear resonant triad perspective. We show that the sudden appearance of an acoustic mode in analogy to a sudden vertical oscillation of the liquid film, can resonate effectively with the original gravity wave packet causing energy pumping into an oppositely propagating (time-reversed) surface gravity wave of an almost identical shape.
2000 ◽
Vol 61
(5)
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pp. 526-526
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2016 ◽
Vol 472
(2192)
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pp. 20160159
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1983 ◽
Vol 52
(6)
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pp. 1982-1995
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2012 ◽
Vol 18
(4(77))
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pp. 30-36
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