Geodesic
BIE model of periodic diffraction problems in optics
Applications of Mathematics, Tome 67 (2022) no. 1, pp. 81-92 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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 
@article{10_21136_AM_2021_0098_20,
     author = {Kr\v{c}ek, Ji\v{r}{\'\i}},
     title = {BIE model of periodic diffraction problems in optics},
     journal = {Applications of Mathematics},
     pages = {81--92},
     year = {2022},
     volume = {67},
     number = {1},
     doi = {10.21136/AM.2021.0098-20},
     mrnumber = {4392406},
     zbl = {07478518},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0098-20/}
}
TY  - JOUR
AU  - Krček, Jiří
TI  - BIE model of periodic diffraction problems in optics
JO  - Applications of Mathematics
PY  - 2022
SP  - 81
EP  - 92
VL  - 67
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0098-20/
DO  - 10.21136/AM.2021.0098-20
LA  - en
ID  - 10_21136_AM_2021_0098_20
ER  - 
%0 Journal Article
%A Krček, Jiří
%T BIE model of periodic diffraction problems in optics
%J Applications of Mathematics
%D 2022
%P 81-92
%V 67
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0098-20/
%R 10.21136/AM.2021.0098-20
%G en
%F 10_21136_AM_2021_0098_20
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

Cité par Sources :