| Abstract: | Considering the Love problem as an example, we derive relations connecting the following two exact integral representations
of its solution: one explicitly involving both damped and undamped modes (residues at the roots of the dispersion equation
of the problem) and the other based on expanding the interference field into a series of a geometric progression. In the latter
case, to each such summand a generalized ray of a wave of certain multiplicity propagating in the layer can be put into correspondence.
By using the methods of contour integrals, a correspondence between the set of multiple waves and interference modes is established.
Bibliography: 1 title.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 214, 1994, pp. 200–209.
Translated by T. N. Surkova. |
