Three-wave resonance in water surface waves
Three-wave resonance is one of the most fundamental energy-transfer mechanisms that can occur among weakly nonlinear surface waves. Here we show experimentally that if two source waves are propagating at an angle with respect to each other, the conditions for three-wave resonances are satisfied and a third resultant wave is produced. We 3D reconstruct surface waves using the Free-Surface Synthetic Schlieren (FS-SS) method, which removes the need for the addition of a light-diffusing agent, thereby retaining the surface tension and density properties of water. For three triads, we compute the average temporal power spectral density (PSD) using the Welch method on the surface heights. We then compare the results of taking the average spatial PSD of the wave heights to the ones graphically obtained by plotting the gravity-capillary water wave dispersion relation for each triad component in ω-k space.
By submitting their manuscript to the Samahang Pisika ng Pilipinas (SPP) for consideration, the Authors warrant that their work is original, does not infringe on existing copyrights, and is not under active consideration for publication elsewhere.
Upon acceptance of their manuscript, the Authors further agree to grant SPP the non-exclusive, worldwide, and royalty-free rights to record, edit, copy, reproduce, publish, distribute, and use all or part of the manuscript for any purpose, in any media now existing or developed in the future, either individually or as part of a collection.
All other associated economic and moral rights as granted by the Intellectual Property Code of the Philippines are maintained by the Authors.