Abstract
Eigenray solutions to sound propagation in an atmosphere with a linear sound-speed profile offer a convenient technique to estimate the effects of refraction. Eigenrays represent the trajectories of wave fronts that depart from the source and reach a given receiver. In a linear profile, the rays are arcs of circles, and over flat ground with perfect reflection, the paths can be constructed from a series of hops. Improvements to the eigenray technique are proposed that match the exact solution for pressure and phase in the unbounded linear profile. For reflection, the choice of a correct branch in the expression for divergence is necessary so that adjacent receivers with different numbers of eigenrays report the same pressure. Extension of the technique to lend estimates for some more complex situations is straightforward, although it fails to offer an advantage near caustics and focal regions.
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