Abstract
In this paper, relations between photonic band gaps and operating mode of slow-wave circuits constructed by photonic crystals are discussed, and methods for computing photonic band gaps and determining the operating band are given. As an example, a slow-wave circuit containing two-dimensional photonic crystals is analyzed. The results explain that complete photonic band gap is not necessary for traveling wave tubes, and more than one defect-mode maybe coexists inside one photonic band gap. If there have no complete photonic band gap, special input and output circuits capable of customizing modes are necessary. Compared with conventional traveling wave tubes, the numerical results do not suggest the bandwidth of the photonic crystal traveling wave tube is wider, and the interaction impedance is lower.
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