The Ray Theory of Doppler Frequency Shifts

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Abstract
A general expression is obtained according to ray theory for the Doppler frequency shift observed when both receiver and transmitter are in motion in a time-varying anisotropic but lossless medium. The result is obtained using Hamilton's optical method. The range of application of the resulting expression and its relationship to a number of published results are considered. The method of analysis is also applied to the calculation of the group path of a radio wave.

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