波导阵列综合问题非线性方程的解析-数值研究

Proceedings of the 7th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory Pub Date : 2002-12-10 DOI:10.1109/DIPED.2002.1049192

M. Andriychuk

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引用次数: 3

摘要

用标准变分法得到了波导阵列综合问题的非线性方程。利用布布诺夫-伽辽金方法求解直接问题(分析问题)，允许在一定的限制条件下获得该方程的实核。实核的存在性使得我们可以对所得到的方程解的非唯一性和分支性进行解析研究。给出了相应线性方程特征值的数值研究结果。

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Analytical-numerical investigation of the nonlinear equation for a synthesis problem of waveguide array

The nonlinear equation of a synthesis problem for the waveguide array using a standard technique of the calculus of variations is obtained. Utilization of the Bubnov-Galerkin method for the solution of a direct problem (analysis problem) allows for certain restrictions to obtain a real kernel of this equation. The existence of a real kernel enables to carry out analytical investigation of the non-uniqueness and branching of solutions of the obtained equation. Numerical results of research of the eigen values of the corresponding-linear equation are given.

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Proceedings of the 7th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory

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