Paraxial diffraction on structures generated by multiplicative iterative procedures

Abstract

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.