BIE model of periodic diffraction problems in optics

Jiří Krček

Applications of Mathematics (2022)

  • Volume: 67, Issue: 1, page 81-92
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Krček, Jiří. "BIE model of periodic diffraction problems in optics." Applications of Mathematics 67.1 (2022): 81-92. <http://eudml.org/doc/298245>.

@article{Krček2022,
abstract = {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.},
author = {Krček, Jiří},
journal = {Applications of Mathematics},
keywords = {optical diffraction; tangential fields; boundary elements method},
language = {eng},
number = {1},
pages = {81-92},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {BIE model of periodic diffraction problems in optics},
url = {http://eudml.org/doc/298245},
volume = {67},
year = {2022},
}

TY - JOUR
AU - Krček, Jiří
TI - BIE model of periodic diffraction problems in optics
JO - Applications of Mathematics
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 1
SP - 81
EP - 92
AB - 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.
LA - eng
KW - optical diffraction; tangential fields; boundary elements method
UR - http://eudml.org/doc/298245
ER -

References

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