https://hal-iogs.archives-ouvertes.fr/hal-01656195Greffet, Jean-JacquesJean-JacquesGreffetEcole Centrale ParisComparison Of An Iterative Series Solution With Other Approaches Of Scattering Of Electromagnetic Waves By GratingHAL CCSD1989[PHYS.PHYS.PHYS-OPTICS] Physics [physics]/Physics [physics]/Optics [physics.optics]Pereira, Fatima2017-12-05 14:55:512018-04-24 15:32:312017-12-05 14:55:51enConference papers10.1117/12.9480881This paper deals with the scattering of electromagnetic waves by rough surfaces. The problem is examined using the Rayleigh hypothesis (i.e. we assume that the field can be represented in the selvedge region by a plane wave expansion). In order to obtain the spectral components of the transmitted field we use the extinction theorem as a boundary condition. This leads to a generalized form of the reduced Rayleigh equations for any case of polarization and for any surface. Then an exact iterative series solution can be obtained. The numerical implementation and properties of convergence of this solution are discussed. Scattering by a grating is considered in details and comparisons with previous rigorous approaches are reported. In addition, it is shown that the case of conical diffraction is easily handled with this formalism.