The traditional approach to the calculation of inter-nal-wave generation, which is based on the use of forceand mass sources with parameters adopted from thehomogeneous-liquid theory, enables one to determine afar field accurate to empirical constants [1–3]. Amethod for constructing the solutions to a linearizedproblem that exactly satisfy boundary conditions, wasproposed in [4, 5]. As a wave source, part of an infiniteplane positioned at an arbitrary angle ϕ to the horizon-tal and executing periodic oscillations with a frequency ω was considered. A finite-width strip oscillating alongits surface emits unimodular and bimodal beams into aliquid of a constant buoyancy frequency N ; the beamstravel at the angle θ = to the horizontal. In anarbitrary case ( ϕ ≠ θ ), when all beams separate from theemitting surface, the wave pattern and particle-dis-placement amplitudes are consistent with the measure-ments [6, 7]. In the critical case ( ϕ = θ ), when two wavebeams propagate along a plane separating the liquid,the calculations result in overstated values of the sepa-rated-beam amplitudes and give no way of finding adja-cent-beam parameters [5, 7]. The critical-angle case isof particular interest for problems of geophysicalhydrodynamics [8] and calls for special consideration.In the present paper, a solution to the more physi-cally-based problem of internal-wave generation by afinite-width oscillating strip is constructed for the entirerange of variation of the strip slope including the criti-cal one.A system of two-dimensional equations of motionfor an exponentially stratified incompressible liquid inthe Boussinesq approximation [1] is brought to the fol-lowing equation for the stream function Ψ in the emit-ωNarcsin---- ting-surface axes coordinate system ( ξ , ζ ) (see figure): (1) Here, ∆ = + and ν is the kinematic viscosity.The gravity g is opposite to the z -axis; the relationbetween the coordinate systems ( x , z ) and ( ξ , ζ ) isshown in figure.The adhesion conditions at the emitting surface(which is a strip with a width a inclined at an angle ϕ and executing oscillations along its surface) and thedamping of all perturbations at infinity constitute theboundary conditions for the velocity u