Abstract:
For the model of the waveguide which is a multi-layered medium with a cylindrical sea-mount, the asymptotic behavior of unknowns in the corresponding infinite system is studied. The obtained asymptotic behavior of the unknowns allows us to use the method of improved reduction for finding of the coefficients of the normal modes. The convergence of algorithm is illustrated by the example of some geophysical waveguides.
Keywords:multi-layer hydro-acoustic waveguide, cylindrical sea-mount, normal modes, infinite system of linear algebraic equations, asymptotic behavior.