In this Letter, we demonstrate applicability of Babinet's principle of complementary diffractive structures for the formation of near-field photonic jets in the reflection mode. Structures, complementary to dielectric cuboids, are characterized with additional geometric and electromagnetic parameters compared to initial cuboids and, for this reason, offer more opportunities for the design of photonic jets with required properties. Babinet's structures allow control of such parameters of photonic jets as the focus length, width, length, maximal field intensity, and ellipticity of jets.