Аннотация:A set of equivalent solutions to the synthesis of graded index optical coatings is obtained by a combustion of Fourier Transform techniques and special properties of the reflection coefficients in the plane of complex wavenumbers. A mathematical transformation changes the phase shift in reflection without affecting the reflectance, and the resulting refractive index profiles are calculated. Disposing of a set of solutions, one has then the possibility of selecting the most attractive for a practical implementation.