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摘要: 在前两篇论文中,作者提出了一种求解缓变系数一阶常微分方程组的数学方法——“缓变系数法”,从而建立了多波型波导本地简正波的广义理论。但是,该文所提的理论没有考虑到波导参数突然变化的情形,而这在任何实际的传输系统中是不可避免的。本文的目的是从耦合简正波理论的观点来研究波导特性的突变。这样,就使本地简正波的概念能够用来描述更多的波导传输问题。
Abstract: In two previous papers the author presented a generalized theory of local normal modes by introducing the method of slowly varying coefficients-a mathematical method to solve systems of first order linear differential equations with slowly varying coefficients, which are associated with problems of multi-coupled modes in irregular waveguides. However, the theory presented therein was not in a form to adapt itself to problems involving abrupt Changes of the waveguide parameters, which are inevitable in any practical transmission system. The purpose of the present paper is to consider such abrupt changes in the light of the above theory, so that the concept of local normal modes may be used to describe a broader class of problems.