Enlargement of the band gaps of water waves over one-dimensional combination bottom structures

The phenomena of band gaps and propagation of water waves over one-dimensional periodic bottoms and combination bottoms is investigated by the transfer matrix method. For the periodic bottoms (PBs), the effect of the steps' numbers, their height and width on the band gaps are discussed, respectively. For two kinds of combination periodic-bottoms (CPBs), namely height-CPBs and width-CPBs, both corresponding whole band gaps are gained, respectively. Each of whole band gaps is the juxtaposition of the gaps of two kind of PBs, without covering. The numerical results show that the band gaps could be enlarged effectively by choosing the steps' height or width properly.