Fernández Álvarez-Estrada, RamónCalvo Padilla, María Luisa2023-06-212023-06-2119780305-447010.1088/0305-4470/11/9/019https://hdl.handle.net/20.500.14352/64950© 1978 The Institute of Physics This work is based upon a PhD Thesis presented by M. L. Calvo at the University of Madrid. We thank Professor A. Durán for his direction and encouragement and Professor J. Solana for a critical reading of the manuscript.The interaction and diffraction of a classical electromagnetic wave by a thin slab characterised by a periodic dielectric permeability is studied rigorously, thereby completing previously existing studies. New integral equations for the induction vector in terms of a suitable Green function, are presented, and a condition which ensures the convergence of their iterations is obtained. A bound for the error of the usual Debye-Born-Rayleigh-Gans approximation to the diffraction amplitudes is given.engjournal articlehttp://dx.doi.org/10.1088/0305-4470/11/9/019http://iopscience.iop.orgopen access535Multidisciplinary PhysicsMathematical PhysicsÓptica (Física)2209.19 Óptica Física