A Perturbation Method for Complex Root Finding of Nonlinear Electromagnetic Waves |
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| Authors: | M. M. Shabat, M. A. Abd-El naby, N. M. Barakat D. Jä ger |
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| Affiliation: | (1) Center of Semiconductor and Optoelectronics ZHO, Faculty of Electrical Engineering and Electronics, Gerhard-Mercator University, Duisburg, D-47057, Germany. Permenant address: Department of Physics, Islamic University of Gaza, P.O.Box 108, Gaza Strip, Palestinian Authority;(2) Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt;(3) College of Education, Gaza, Gaza Strip, Palestinian Authority |
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| Abstract: | ![]()
Aspects of the perturbation method are presented and implemented on the analytic function of the complex variable for the propagation of nonlinear electromagnetic surface guided by a thin film. The behavior of nonlinear TE waves guided by asymmetrical dielectric thin film, bounded by a generalizes nonlinear substrate with a permittivity of the form   | E | is analyzed. The complex roots, which correspond to the propagation and attenuation coefficient are obtained and discussed. |
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| Keywords: | Nonlinear TE waves Lossy waveguides Numerical and perturbations techniques |
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