Interpretation of Successive Approximations
Analyzable part of solution-Our goal, to single out the edge-diffracted waves from the total wavefie1d, can be obtained in principle by solving the forced oscillations problem. Because of complexity the system of functional equations seems to be unsolvable in the closed form. Currently we do not know if the total wavefie1d usually can be obtained with However, the only possible way to obtain the wanted information on the edge-diffracted waves is from the functional equations and is based on the analysis of the properties of these equations. The problem, as stated in Chapter II, was aimed at making such analysis possible.
We can use the system of functional equations, as stated in equations II.3(33) and ll.3(35) in the form We assume that all information on reflected/transmitted and edge-diffracted waves, required for geophysical applications, is contained in the term