用多极理论分析圆柱对称微波谐振腔
An analysis of cylindrical symmetric microwave cavity using multipole theory method
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摘要: 用多极理论计算具有复杂几何形状、圆柱对称微波腔的谐振频率，推导出用多极理论计算圆柱对称微波腔谐振频率的本征值方程。三个工程实例的计算结果表明，用多极理论计算圆柱对称微波腔谐振频率，不仅具有较高的计算精度, 而且可以很方便地应用于复杂几何形状圆柱对称微波腔工程问题的设计与计算，多极理论是计算圆柱对称微波腔谐振频率的一种有效方法。Abstract: A new approach, the multipole theory(MT) method, is briefly described for the computation of the resonant frquencies in the microwave cavity with cylindrical symmetry and complicated geometry shapes at the longitudinal section. The essential concept is to represent the solution of the axisymmetric Helmholtz equation by the generalized MT formula of 3-D Helmholtz equation. The MT formulation of the resonant frequencies is derived. By calculating three engineering examples, it is shown that the MT method is an effective approach for the computation of the resonant frequencies in cylindrical symmetric microwave cavities.
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