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The paper presents an analysis of self-imaging phenomena in gradient multimode interference (MMI) structures produced by K+–Na+ ion exchange in glass. This investigation concerned curved MMI structures with various geometries – for the linear, concave function described by an exponential function, and the convex structure connected with a cosine course. The relations derived characterizing the relative shortening of the length of propagation for N-fold images have been confirmed by numerical simulations using the beam propagation method (BPM) of symmetrically excited gradient splitters 1×2.