RT Journal Article T1 Multiple scattering of classical electromagnetic waves by volume gratings: completion of Fujiwara's solution A1 Calvo Padilla, María Luisa A1 Cheben, Pavel AB We present a general formulation for multiple scattering of classical electromagnetic waves by volume gratings. Fujiwara's electron multiple scattering theory is modified and extended to the case of both, the transmission and the reflection geometries. The analytical solution for the amplitude Φ_n corresponding to the nth scattering order is given. The convergence of the solution is proved for the transmission by a sinusoidal symmetric phase grating. By employing a structural Green's function and a vectorial formulation for diffraction of a classical electromagnetic wave by a thin periodical slab, as previously given by Alvarez-Estrada and Calvo, the solution for the back scattered field amplitude is derived and shown to coincide with that obtained within the framework of the multiple scattering theory. PB Taylor and Francis Ltd. SN 0950-0340 YR 1999 FD 1999 LK https://hdl.handle.net/20.500.14352/59068 UL https://hdl.handle.net/20.500.14352/59068 NO Cheben, Pavel, y María L. Calvo. «Multiple Scattering of Classical Electromagnetic Waves by Volume Gratings: Completion of Fujiwara’s Solution». Journal of Modern Optics, vol. 46, n.o 2, febrero de 1999, pp. 181-98. DOI.org (Crossref), https://doi.org/10.1080/09500349908231264. NO © Taylor and Francis. DS Docta Complutense RD 16 jul 2025