Geodesic
Plane electromagnetic wave diffraction
Matematičeskoe modelirovanie, Tome 26 (2014) no. 5, pp. 33-47

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Cauchy problem definition is considered for Maxwell equations which describe plane electromagnetic wave diffraction on object. The effective current density is constructed for given plane wave radiation. The unicity of Cauchy problem solution is shown. Boundary conditions for initial-boundary problem are formulated; the unicity of problem solution is shown. The implicit finite-difference scheme is chosen, finite-difference boundary conditions are constructed. The algorithm for solving of implicit mesh Maxwell equations is vectorized. Calculation module is developed in Cuda and OpenMP technologies with optimization of access to graphic processor memory.
Keywords: electromagnetic field, Maxwell equations, Cauchy problem, initial-boundary problem, boundary condition, finite-difference scheme, mesh equation, vectorized calculation, central processor, graphic processor, random access memory, coalescent request. 
@article{MM_2014_26_5_a2,
     author = {A. V. Berezin and A. S. Vorontsov and M. B. Markov and D. N. Sadovnichiy},
     title = {Plane electromagnetic wave diffraction},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {33--47},
     publisher = {mathdoc},
     volume = {26},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_5_a2/}
}
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A. V. Berezin; A. S. Vorontsov; M. B. Markov; D. N. Sadovnichiy. Plane electromagnetic wave diffraction. Matematičeskoe modelirovanie, Tome 26 (2014) no. 5, pp. 33-47. http://geodesic.mathdoc.fr/item/MM_2014_26_5_a2/