An application of Miles' theory to Bragg scattering of water waves by doubly composite artificial bars

In the present paper, Miles' (1981) theory is implemented to derive formulae for describing the Bragg scattering of water waves for doubly composite artificial bars with different shapes, spacings, relative bar heights, relative bar footprint and the number of bars. The theory has clear advantage in estimating Bragg reflection coefficient for practical applications concerning coastal problems. Experiments of Bragg reflections over doubly composite rectangular artificial bars have also been performed in a wave flume. Key parameters that may lead to the optimal selection of a doubly composite artificial bar are studied. Theoretical solutions are seen to compare fairly well with the numerical computations and the laboratory experiments. Our simulated results reveal that the Bragg resonance for doubly composite artificial bars effectively increases the bandwidth of the reflection coefficient.