TY - EJOU AU - Shen, Jianxin Zhu, Zengsi Chen, Zheqi TI - The Mode Relation for Open Acoustic Waveguide Terminated by PML with Varied Sound Speed T2 - Computer Modeling in Engineering \& Sciences PY - 2012 VL - 83 IS - 5 SN - 1526-1506 AB - An acoustic waveguide with continuously varying sound speed is discussed in this paper. When the waveguide is open along the depth, the perfectly matched layer (PML) is used to terminate the infinite domain. Since the sound speed is gradually varied, the density is assumed as constant in each fluid layer. For this waveguide, it is shown that the mode relation is derived by using the differential transfer matrix method (DTMM). To solve leaky and PML modes, Newton's iteration is applied, and Chebyshev pseudospectral method is used for obtaining initial guesses. The solutions are with high accuracy. KW - acoustic waveguide KW - perfectly matched layer KW - differential transfer matrix method KW - Chebyshev pseudospectral method KW - PML modes KW - leaky modes DO - 10.3970/cmes.2012.083.547