文摘
In our manuscript, we first provide a closed-form analytical solution for the reflection of linear long waves propagating over a series of submerged rectangular breakwaters which are located on sloping seabed. In our manuscript, we also give several figures, which show that the mag-nitude of the peak Bragg resonant reflection should be affected by several factors, such as, the breakwater number, dimensionless breakwater submer- gence and width, and the slope of seabed. Finally, the optimal collocation curves for Bragg resonant reflection are presented in our manuscript for the choose of different breakwater number. As applications in real world, these optimal collocation curves can be used as quantitative indicators for engineers.