MSC2010 35Q61
Peculiarities of solving the integro-differential Maxwell equations and excitation of the surface polariton on the planar structure
K. V. Bukhensky1, A. B. Dubois2, A. N. Konukhov3, S. I. Kucheryavyy4, S. N. Mashnina5, A. S. Safoshkin6
| Annotation | The paper deals with the diffraction of an electromagnetic wave at the vacuum-metal-nonlinear film-semiconductor interface with the excitation of a surface wave. Within the framework of the theory, the mode method for calculating the interaction of radiation with a structure is developed, which makes it possible to calculate the energy fluxes arising in diffraction processes for a fixed energy flux of the perturbation. |
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| Keywords | integro-differential equations, surface polariton, Maxwell equations. |
1Kirill V. Bukhensky, Associate Professor, Head of the Department of Higher Mathematics, Ryazan State Radioengineering University (59 Gagarina Str., Ryazan, 390005, Russia), Ph.D. (Physics and Mathematics), bukhensky.k.v@rsreu.ru
2Alexander B. Dubois, Associate Professor, Department of Higher Mathematics, Ryazan State Radioengineering University (59 Gagarina Str., Ryazan, 390005, Russia), Ph.D. (Physics and Mathematics), abd-69@mail.ru
3Alexey N. Konukhov, Associate Professor, Department of Higher Mathematics, Ryazan State Radioengineering University (59 Gagarina Str., Ryazan, 390005, Russia), Ph.D. (Pedagogic sciences)
4Sergei Iv. Kucheryavyy, Associate Professor, Department of General and Special Physics, IATE MEPHI (1 Studgorodok, Obkinsk, 249040, Kaluga region, Russia), Ph.D. (Physics and Mathematics), kucheryavyy@iate.obninsk.ru
5Svetlana N. Mashnina, Senior Lecturer, Department of Higher Mathematics, Ryazan State Radioengineering University (59 Gagarina Str., Ryazan, 390005, Russia)
6Alexey S. Safoshkin, assistant, Department of Higher Mathematics, Ryazan State Radioengineering University (59 Gagarina Str., Ryazan, 390005, Russia), safoshkin.a.s@rsreu.ru
Citation: K. V. Bukhensky, A. B. Dubois, A. N. Konukhov, S. I. Kucheryavyy, S. N. Mashnina, A. S. Safoshkin, "[Peculiarities of solving the integro-differential Maxwell equations and excitation of the surface polariton on the planar structure]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,19:3 (2017) 73–81 (In Russian)
DOI 10.15507/2079-6900.19.201703.73-81
