Abstract

The sound-speed gradient is assumed to be a vector of constant magnitude and constant horizontal direction. Ray geometry, travel time, and spreading loss are derived for rays having an arbitrary initial direction at a point source and experiencing multiple boundary reflections in a horizontal channel. Rays intercepting an arbitrarily placed receiving point after experiencing a given number of boundary reflections are isolated and studied. It is shown that the changes in travel time and spreading loss caused by the presence of the gradient are approximately proportional to the component of the gradient in the horizontal direction of the receiving point. A calculation is made of the total field at a fixed receiving point due to a CW source as a function of the magnitude and direction of the gradient. Large changes from isospeed values are found in both the intensity and phase, including the occurrence of an interference null associated with a sharp offset in phase. An approximate formula shows that the change in phase, except for the offset at a null, is also proportional to the range component of the gradient.

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