“…where A in , B in , C in, and D in are unknown coefficients; 1,2,3 and 1,2,3 ( ) are the corresponding wave numbers and eigenfunctions for each subdomain, respectively; and a i is the amplitude of the i-th wave component referring to (6). For the velocity potentials of the offshore subdomain Ω 1 , the first item in (11) represents the incident velocity potential, the second denotes the reflected velocity potential, and the infinite series indicate the evanescent modes which only influence the local zone around the structure. For the velocity potentials of the onshore subdomain Ω 3 , the first item in (12) represents the transmitted velocity potential, and the infinite series indicate the evanescent modes that attenuate quickly along the positive x-direction.…”