研究目的
Investigating the propagation of coupled electromagnetic TE-TE waves in a nonlinear plane layer located between two half-spaces with constant permittivities, where the permittivity in the layer is described by nonlinearity with saturation.
研究成果
The study proves the existence and uniqueness of solutions to the nonlinear two-parameter eigenvalue problem for the system of nonlinear ordinary differential equations describing the propagation of coupled electromagnetic TE-TE waves in a nonlinear plane layer. An iteration method for solving the problem is presented, and its convergence is proved. The findings contribute to the understanding of electromagnetic wave propagation in nonlinear media with saturation.
研究不足
The study is theoretical and does not involve experimental validation. The applicability of the findings may be limited to specific conditions of nonlinear medium with saturation.
1：Experimental Design and Method Selection:
The study involves the reduction of the physical problem to a nonlinear two-parameter eigenvalue problem for a system of nonlinear ordinary differential equations. The perturbation method is used to study this problem.
2：Sample Selection and Data Sources:
The study considers electromagnetic waves propagating through a nonlinear homogeneous isotropic nonmagnetic dielectric waveguide.
3：List of Experimental Equipment and Materials:
The study involves theoretical analysis without specific experimental equipment mentioned.
4：Experimental Procedures and Operational Workflow:
The problem is approached by formulating integral equations and dispersion equations, and solving them using an iteration method.
5：Data Analysis Methods:
The convergence of the iteration method is analyzed, and theorems regarding the existence and uniqueness of solutions are proved.
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