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Sound radiation from exponentially growing and decaying surface waves

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Figure

Fig. 1. Schematic of the solution domain. A spatially-sinusoidal normal velocity is applied over the entire plane y ¼ 0.
Fig. 2. Schematic of the input forcing: (a) growth rate variation from Eq. (3), (b) the resulting amplitude variation with time.
Fig. 3. Analytic (solid) and numerical (ncorresponds to) solution at time t ¼ 20 for the case D ! 0, kx ¼ kz ¼ c ¼ 0 and o ¼ s0 ¼ c ¼ 1
Fig. 4. Numerical solution at t ¼ 20 for M ¼ 0:5, G ¼ 1, O ¼ 1 and c ¼ 0.
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