2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224033The adjustment of two different selfocs is considered using both exact formulas for the mode-connection coefficients expressed in terms of Hermite polynomials of several variables and a qualitative approach based on the Frank-Condon principle. Several examples of the refractive-index dependence are studied and illustrative plots for these examples are presented. The connection with the tomographic approach to quantum states of a two-dimensional oscillator and the Frank-Condon factors is established.8 pages, 4 figures, published version (layout of figures changed, typos corrected, references added)Quantum PhysicsOpticsFrank-Condon principle and adjustment of optical waveguides with nonhomogeneous refractive indicestext