We studied the propagation of acoustic waves in a coupled ice-water system for the Arctic Ocean.The sea ice is considered as homogeneous as the seawater.The dispersion equation is derived by using the wave theory in solid and liquid media.By solving the dispersion equation using the bisection method,the ω-k dispersion curves are obtained,from which the phase and group velocity dispersion curves are got.Numerical results show that the dispersion curves corresponding to the waves in the coupled ice-water system arise from those corresponding to the waves in an ice layer and a water layer.For instance,the phase velocity dispersion curve corresponding to the mth(m>1)guided wave in the coupled ice-water system is formed from that corresponding to the second order wave in the ice layer and the mth(m≥1)guided waves in the water layer.The group velocity dispersion curve corresponding to the mth(m>1)order guided wave has a maximum and a minimum.The wave structure of guided waves in the coupled ice-water system is analyzed in detail.The results show that the energy of the first order guided wave is concentrated in the ice layer and the water near the ice.The distribution of radial and axial displacement amplitude of the mth(m≥2)order guided wave along the depth direction is periodic.Moreover,the higher the order,the more complex the vibration.
