Numerical solution of the reduction problem when the ratio of the half-widths of the slit function and the observed contour is close to unity

Abstract

The question of obtaining a solution that is stable in the presence of initialdata error for the reduction problem in Raman scattering for various ratios of the half-widths of the slit function and the observed contour is discussed. It is shown that when the ratio of the half-widths is close to unity, a stable solution in the class of well-posed problems can be obtained by application of the discrete Fourier transform.