用横向谐振微扰法分析非理想波导的损耗特性

Analysis of Loss Characteristic for Non-ideal Waveguide Using Perturbation Method with Transverse Resonance

分析非理想波导的损耗特性是微波工程中很重要的实际问题之一,对它的精确求解往往和波导元件及微波系统性能的分析紧密相关。根据横向谐振原理和微扰理论,本文提出了一种分析非理想波导损耗特性的新方法,推导出了一组计算矩形波导TEm0和TE0n模导体损耗的衰减常数公式,并分析计算了矩形波导的损耗特性。通过对几种本征模式的计算,证实了本文方法的正确性和有效性。这种横向谐振微扰法具有原理简单、表达直观、计算简便易行等优点,可以更便捷地应用于解决实际微波工程问题。

The analysis of loss characteristic for non-ideal waveguide is one of the important practical problems in microwave engineering. Its exact solution is related to the waveguide components and the system performance. A new method for analyzing loss characteristic of non-ideal waveguide is presented based on the principle of transverse resonance and the theory of perturbation. Two useful formulae for calculating the attenuation constant of conductor loss for TEm0 and TE0n modes of the rectangular waveguide are derived, and the loss characteristic in the rectangular waveguide is analyzed and computed. The accuracy and validity are verified by computation of several eigen modes. The perturbation method with transverse resonance is theoretically simple and leads to an easy computational model. As a result, it is suitable for solving other practical problems in microwave engineering.