Geodesic
BIE model of periodic diffraction problems in optics
Applications of Mathematics, Tome 67 (2022) no. 1, pp. 81-92.

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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.
DOI : 10.21136/AM.2021.0098-20
Classification : 45P05, 78A45
Keywords: optical diffraction; tangential fields; boundary elements method 
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Krček, Jiří. BIE model of periodic diffraction problems in optics. Applications of Mathematics, Tome 67 (2022) no. 1, pp. 81-92. doi : 10.21136/AM.2021.0098-20. http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0098-20/

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