基于简单紧束缚方法理论,利用一维碳纳米管的量子化周期边界条件得到了碳纳米管的电子能级结构关系.并结合已报道的碳纳米管中电子与声子相互作用的实验结果,得到了碳纳米管能够辐射太赫兹波的结论.通过数值结果验证了碳纳米管在外场作用下能够产生太赫兹波,并对数值计算结果中太赫兹波的振荡现象给予合理的解释.其结果为进行碳纳米管产生太赫兹辐射的实验研究提供深入的理论基础. Based on the theory of simple tight binding method, the electron level structure of carbon nanotubes was obtained by using the quantum periodic boundary conditions of one-dimensional carbon nanotubes. Combined with the reported experimental results of the interaction between electrons and phonons in carbon nanotubes, The conclusion that the carbon nanotubes can radiate the terahertz wave is obtained.The numerical results show that the nanotubes can generate the terahertz wave under the action of the external field and give a reasonable explanation for the oscillation of the terahertz wave in the numerical calculation result. It provides an in-depth theoretical basis for the experimental study on the generation of terahertz radiation from carbon nanotubes.