Optimal parameters of perfectly-matched layer for nanophotonics problems
Matematičeskoe modelirovanie, Tome 23 (2011) no. 8, pp. 55-64.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the solution of evolutionary problems in electrodynamics numerical method FDTD with PML boundary conditions inevitably arise reflection of electromagnetic waves from the boundaries. The nature and magnitude of these reflections depend on many parameters. We demonstrated the method of calculating the coefficient of reflection for the one-dimensional case. A comparison with the real three-dimensional numerical experiments shows the high accuracy of the calculated theoretical reflection. On this basis, a method for selecting optimal parameters of the perfectly-matched layer proposed.
Keywords: Maxwell equations, FDTD (Finite Difference Time Domain), PML (Perfectly Matched Layer), numerical boundary refraction index.
@article{MM_2011_23_8_a4,
     author = {A. V. Zakirov and V. D. Levchenko},
     title = {Optimal parameters of perfectly-matched layer for nanophotonics problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {55--64},
     publisher = {mathdoc},
     volume = {23},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_8_a4/}
}
TY  - JOUR
AU  - A. V. Zakirov
AU  - V. D. Levchenko
TI  - Optimal parameters of perfectly-matched layer for nanophotonics problems
JO  - Matematičeskoe modelirovanie
PY  - 2011
SP  - 55
EP  - 64
VL  - 23
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2011_23_8_a4/
LA  - ru
ID  - MM_2011_23_8_a4
ER  - 
%0 Journal Article
%A A. V. Zakirov
%A V. D. Levchenko
%T Optimal parameters of perfectly-matched layer for nanophotonics problems
%J Matematičeskoe modelirovanie
%D 2011
%P 55-64
%V 23
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2011_23_8_a4/
%G ru
%F MM_2011_23_8_a4
A. V. Zakirov; V. D. Levchenko. Optimal parameters of perfectly-matched layer for nanophotonics problems. Matematičeskoe modelirovanie, Tome 23 (2011) no. 8, pp. 55-64. http://geodesic.mathdoc.fr/item/MM_2011_23_8_a4/

[1] Jean-Pierre Berenger, “Three-Dimensional Perfectly Matched Layer for the Absorption of Electromagnetic Waves”, Journal of Computational Physics, 127 (1996), 363–379 | DOI | MR | Zbl

[2] Allen Taflove, Susan C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed., Artech House Publishers, 2005 | MR

[3] Jean-Pierre Berenger, “Numerical reflection of evanescent waves from perfectly matched layers”, Proc. IEEE Antennas Propagat. Symp., Montreal, Canada, 1997, 1888–1891

[4] Jean-Pierre Berenger, Perfectly Matched Layer (PML) for Computational Electromagnetics, Morgan and Claypool Publishers, 2007