Combined method calculating the field generated by a point source in a surface wave guide

The two-dimensional problem of propagation of waves, raised by a point source, in an interior layer wave guide is investigated. The Dirichlet condition is given on the bound of the wave guide. With help of cumbersome transformation the solution is represented as a sum of the geometro-optical waves, the normal waves and the residual. The sufficient conditions for the general amount of the detached normal and geometro-optical waves are obtained. The residual is expressed by the simple formula.