The present paper addresses numerical calculations on the eigenvalues of hybrid modes in corrugated circular waveguides with varying diameter and corrugation depth. Such calculations are essential for the numerical optimization of advanced mode converters and diameter tapers for future low-loss high-power microwave applications, like broadband high-power radar sensors for space debris observation in low earth orbit (LEO). Corresponding mode converters and diameter tapers may be synthesized based on coupled mode theory. Of particular importance here is the ability to consider varying mode eigenvalues along the perturbed waveguide. The procedure presented here is able to consider arbitrary variations of the corrugation depth as well as the waveguide diameter and therefore is highly flexible. The required computational effort is low. Limitations of the method are discussed.

本文研究了直径和波纹深度不同的波纹圆形波导中混合模特征值的数值计算。对于未来的低损耗大功率微波应用（例如用于低地球轨道（LEO）观察空间碎片的宽带大功率雷达传感器）的高级模式转换器和直径锥度的数值优化，此类计算至关重要。可以基于耦合模式理论来合成对应的模式转换器和直径锥度。在此特别重要的是考虑沿被扰动的波导变化的模式特征值的能力。此处介绍的过程能够考虑波纹深度以及波导直径的任意变化，因此具有很高的灵活性。所需的计算量很小。