Calvo Padilla, María LuisaAlieva Krasheninnikova, Tatiana2023-06-202023-06-202003-091464-425810.1088/1464-4258/5/5/386https://hdl.handle.net/20.500.14352/51062© 2003 IOP Publishing Ltd Congress of the International Commission for Optics (19º. 2002. Florencia, Italia). This work was supported partially by the Spanish Ministry of Science and Technology under the project TIC2002-01846. Part of the results of this work were presented at the 19th Congress of the International Commission for Optics, Firenze, Italy, 25–31 August 2002 [13].We consider Fresnel and Fraunhofer diffraction on regular structures generated by multiplicative iterative procedures. We prove that the iterative procedure of field construction is preserved during Fresnel diffraction, while the initiator of the structure in the Fresnel region is the Fresnel transform of the original structure. The diffractive field in the Fraunhofer region is quasi-periodic. The theoretical results are proved experimentally.engjournal articlehttp://dx.doi.org/10.1088/1464-4258/5/5/386http://iopscience.iop.org/open access535Paraxial DiffractionFourier OpticsFractalsMultiplicative GratingsÓptica (Física)2209.19 Óptica Física