Abstract

This paper proposes a solution of the electrodynamic problem of determining the generalized scattering matrix of infinitely thin asymmetric one-sided inductive diaphragm in rectangular waveguide using the integral equation method. The problem is reduced to solving the system of integral equations in terms of the number of incident modes falling on the inhomogeneity from the left partial region. The efficiency of the new solution of electrodynamic problem is achieved owing to the correct way of taking into account the singularity of tangential electric field in the diaphragm aperture using the Gegenbauer polynomials. The Galerkin method is used to reduce each integral equation to the system of linear algebraic equations in complex coefficients of the expansion of tangential electric field in the diaphragm window. Numerical investigation of the obtained solution was conducted for determining the equivalent parameters of diaphragm in the frequency band where only the principal mode can propagate along the waveguide without attenuation. The possibility of effective high-accuracy calculation of the generalized scattering matrix of infinitely thin asymmetric inductive diaphragm in rectangular waveguide with due regard for singularity of tangential electric field at the sharp ridge in the diaphragm window has been confirmed.

中文翻译：

---

积分方程法对矩形波导中非对称薄感应振膜的有效高精度分析

摘要

本文提出了一种利用积分方程方法确定矩形波导中无限薄的非对称单边感应膜片的广义散射矩阵的电动力学问题的解决方案。该问题被简化为根据从左局部区域落在不均匀性上的入射模的数量来求解积分方程组。由于使用了Gegenbauer多项式，考虑了光阑孔径中切向电场奇异性的正确方法，因此可以实现新的电动力学问题解决方案的效率。Galerkin方法用于将每个积分方程简化为线性代数方程组，该方程是膜片窗口中切向电场扩展的复系数。对获得的解决方案进行了数值研究，以确定仅主模可以沿波导传播而没有衰减的频带中的振动膜等效参数。充分考虑了膜片窗口尖角处切向电场的奇异性，已经证实了矩形波导中无限薄的非对称感应膜片的广义散射矩阵的有效高精度计算的可能性。