PROPAGATION IN PERIODICALLY LOADED WAVEGUIDES WITH HIGHER SYMMETRIES
PROPAGATION IN PERIODICALLY LOADED WAVEGUIDES WITH HIGHER SYMMETRIES
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DOI：
10.1109/proc.1973.9003
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发表时间：
1973-01-01
影响因子：
20.6
通讯作者：
OLINER, AA
中科院分区：
文献类型：
--
作者：
HESSEL, A;CHEN, MH;OLINER, AA
给出了周期加载闭合波导具有一定的高对称性，包括螺旋对称性和滑动对称性的弗洛奎特定理的推广。这些对称性经常出现在微波结构中，如滤波器、行波管和行波天线。该定理指出，固有振型是表征结构的对称算符的本征向量。对该定理的另一种推导是使用等价网络表示，这自然导致了一种构造具有螺旋或滑动对称性的结构的定性弥散(布里渊)图的简单方法。
A generalization of Floquet's theorem is presented for periodically loaded closed waveguides possessing a certain class of higher symmetries which includes the screw and glide symmetries. These symmetries frequently appear in microwave structures such as filters, traveling-wave tubes, and traveling-wave antennas. The theorem states that the natural modes are eigenvectors of the symmetry operator characterizing the structure. An alternative derivation of the theorem using an equivalent network representation leads naturally to a simple method for constructing the qualitative dispersion (Brillouin) diagrams for structures with screw or glide symmetry.