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"In this paper  the classical problem of horizontal waveinduced momentum transport is analyzed once again  A new analytical approach has been employed to reveal the vertical variation of this transport in the Eulerian description  In mathematical terms  this variation is shown to have  after    smoothing out    the surface corrugation  the character of a generalized function  distribution  and is described by a classical function in the water depths and by an additional Dirac-delta-function component on the averaged free surface  In terms of physics  the considered variation consists of two entities   i  a continuous distribution of the mean momentum transport flux density  tensorial radiation pressure  over the entire water column  and  ii  an additional momentum transport flux concentrated on the mean free surface level  tensorial radiation surface pressure   Simple analytical formulae describing this variation have been derived  This allowed a conventional expression to be derived  describing the depth-integrated excess of horizontal momentum flux due to the presence of waves  the so-called    radiation stress      confirming to some extent the correctness of the whole analysis carried out  The results obtained may be important to the ocean dynamics  especially in view of their possible application in the field of hydrodynamics of wave-dominated coastal zones "
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