A comparative assessment of the known solutions of the Pekeris boundary problem is carried out. A detailed analysis of the generalized solution, which is constructed in a non-self-adjoint model formulation, is carried out. One of the features of the generalized solution is the presence of the vortex component of the intensity vector, the level of which increases with decreasing frequency. The vortex component is recorded in the channels of the vector receiver during an experiment with a noisy object.