|
|
University proceedings. Volga region. Physical and mathematical sciences, 2010, Issue 1, Pages 18–27
(Mi ivpnz611)
|
 |
|
 |
This article is cited in 3 scientific papers (total in 3 papers)
Mathematics
The problem of propagation of electromagnetic waves in a layer with arbitrary nonlinearity (I. TE are the waves)
D. V. Valovik
Penza State University, Penza
Abstract:
Electromagnetic propagation problem of TE-waves in a layer with arbitrary nonlinearity is considered. It was shown that the boundary value problem for Maxwell equations is reduced to a nonlinear boundary eigenvalue problem for an ordinary nonlinear differential equation of the 2${}$ order. Dispersion equation for the eigenvalues of the problem (propagation's constants) is obtained.
Keywords:
Maxwell equation, diffraction problem, nonlinear boundary eigenvalue problem.
Citation:
D. V. Valovik, “The problem of propagation of electromagnetic waves in a layer with arbitrary nonlinearity (I. TE are the waves)”, University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 1, 18–27
Linking options:
https://www.mathnet.ru/eng/ivpnz611 https://www.mathnet.ru/eng/ivpnz/y2010/i1/p18
|
| Statistics & downloads: |
| Abstract page: | 35 | | Full-text PDF : | 13 | | References: | 14 |
|
Citation in format AMSBIB
Contact us: