Krček, Jiří BIE model of periodic diffraction problems in optics. (English) Zbl 07478518 Appl. Math., Praha 67, No. 1, 81-92 (2022). Summary: Optical diffraction on a periodical interface belongs to relatively lowly exploited applications of the boundary integral equations method. This contribution presents a less frequent approach to the diffraction problem based on vector tangential fields of electromagnetic intensities. The problem is formulated as the system of boundary integral equations for tangential fields, for which existence and uniqueness of weak solution is proved. The properties of introduced boundary operators with singular kernel are discussed with regard to performed numerical implementation. Presented theoretical model is of advantage when the electromagnetic field near the material interface is studied, that is illustrated by several application outputs. MSC: 78A45 Diffraction, scattering 45P05 Integral operators Keywords:optical diffraction; tangential fields; boundary elements method PDF BibTeX XML Cite \textit{J. Krček}, Appl. Math., Praha 67, No. 1, 81--92 (2022; Zbl 07478518) Full Text: DOI References: [1] Bao, G.; Cowsar, L.; (eds.), W. Masters, Mathematicall Modelling in Optical Science, Frontiers in Applied Mathematics 22. SIAM, Philadelphia (2001) · Zbl 0964.00050 [2] Bonnet, M.; Guiggiani, M., Tangential derivative of singular boundary integrals with respect to the position of collocation points, Int. J. Numer. Methods Eng. 41 (1998), 1255-1275 · Zbl 0922.73073 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.