Abstract

The so‐called earth flattening conformal mapping is a common approach for radio wave propagation over a spherical earth. Applied sequentially (cascaded), it can be used to represent a series of hills, each of which has a constant radius of curvature. We show that the mapping can also be applied to general terrain that has a continuously varying radius of curvature. In the mapped coordinates, the terrain is flat, but the mapped sound speed is c/√J, where c is the actual sound speed and J is the Jacobian of the transformation. The continuously cascaded mapping method is outlined, and numerical comparisons are made with a well‐tested nonconformal mapping method.

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