Abstract
In recent years, matrix methods (e.g., finite elements, finite differences) have been successfully used to numerically solve the parabolic wave equation. This paper discusses the application of such methods to the solution of the elliptic wave equation for a general vertical source distribution. In particular, it is shown that one‐dimensional finite elements are a convenient way to accurately reduce the depth‐separated inhomogeneous wave equation to an easily solved system of linear equations. The advantages of this method over methods which use special functions are that it accepts arbitrary numerical profiles and that it can be simply applied to compute a range‐dependent “fast field” solution. In addition, for realistic environments with complex stratification, the computation speed should be competitive with methods based on special functions.
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