%0 Book Section %T Diffraction on the structures generated by the multiplicative iterative procedures publisher SPIE--The International Society for Optical Engineering %D 2003 %U 978-0-8194-4596-4 %@ https://hdl.handle.net/20.500.14352/53363 %X The Fresnel and Fraunhofer diffraction on the regular structures generated by the multiplicative iterative procedures is considered. It is proved that the iterative procedure of field construction is preserved during Fresnel diffraction, meanwhile the initiator of the structure in the Fresnel region is the Fresnel transform of the original one. The theoretical results are proved experimentally. %~