Abstract
The detrimental effects of phase errors due to improperly selected reception spheres in unidirectional ray-tracing are demonstrated. The phase errors, which arise from incorrect ray path length calculations, are diminished by a bidirectional ray-tracing approach in combination with an asymptotic approximation. The evaluation of the reciprocity integral in the conventional bidirectional ray-tracing approach is reduced into an algebraic expression, which involves the values of the integrand and its derivatives at a stationary phase point. The stationary phase point is found by utilizing the Fermat principle of least time where the trajectory of the ray path with shortest length is calculated. Thus, the path length calculation is performed in a much more accurate manner. Numerical results show the advantages of the approach.
Published Version
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