A generalization of WKBJ method for solving a system describing propagation of coupled modes in underwater acoustics

Abstract

A generalization of the WKBJ method for the case of coupled modes propagation in problems of underwater acoustics is proposed. The generalized WKBJ ansatz has the form of a product of a matrix of phase factors and vector of amplitudes. The transport equation in the matrix form is derived, and the phase factors are computed exactly. The similarities and differences with other forms of mode coupling equations are discussed. A numerical example demonstrating the accuracy of the generalized WKBJ solution is presented.