Abstract
It is shown how the St Andrew's cross-wave in a density-stratified fluid is modified by a horizontal shear above the level of the source. Ray theory is used to develop the equations for the phase configuration and it is shown that, for the special case when the background natural frequency is constant and the shear is linear, the wave crests are straight lines passing through the source. The waves corresponding to outgoing energy have phase velocities directed towards the horizontal level of the source and the waves which have undergone a reflection have phase velocities directed towards the vertical. It is shown that the ray theory predictions compare well with experiment and with finite-difference calculations.
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