| The miniaturization and integration is the development trend of microwave and millimeter wave circuits, and the size of components is becoming smaller and near nano-scale. Conventional transmission line (TL) and antenna techniques are confronted with the limitation of large size, low efficiency, high loss and etc., while the quantum effect presented in nano-scale can provide new concepts and solutions for microwave transmission and radiation. With some simplification, carbon nanotube (CNT) can be seen as quasi 1-D quantum wire. Its unique structure and quantum effect may lead to a useful application in microwave area.With the development of fabrication techniques and theoretical research on CNT, it is possible to construct microwave transmission line using CNTs. In this dissertation, firstly, the method of moment (MoM) and Halen's integral equation is introduced to analyze the current distribution on the CNT with the consideration of quantum conductivity. For periodic CNT array, the coefficient matrix of matrix equation deduced by MoM is of Block-Toeplitz, and with the employment of optimization algorithm, the efficiency of solving the equation is greatly improved. Then, the resonance characteristic of a single CNT is analyzed, and it is found that the resonance frequency of CNT is 1/50 of that of the perfect metallic rod of the same length. Furthermore, the wave guiding property of CNT array is investigated. Numerical results reveal that with the increase of rows, the wave guiding property of CNT array is improved effectively. Then, the equivalent circuit of CNT is deduced according to that of perfect metallic rod. At last, experiments are designed to investigate the difference of S-parameter of waveguide with and without two kinds of CNT samples and the measurements show that the transmission property of waveguide is affected by the CNT samples.
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