We examine the elastic scattering cross sections of 15N projectile on 7Li, 9Be, 10B, 11B, 12C, 13C and 27Al targets. The real part of the optical model potential is obtained for eight different density distributions of the 15N nucleus by using the double folding model with the M3Y interaction. The imaginary part of the optical potential is evaluated as the phenomenological Woods-Saxon potential. A good agreement between theoretical results and experimental data is achieved. Finally, new and practical analytical expressions for imaginary potential depths of each density examined with this study are given, for the first time. These equations will be useable in the calculations of the nuclear interactions with the 15N nucleus.