We numerically investigate the coupling efficiency, i.e., the percentage of coupled power, from the light source to the terahertz antiresonant reflecting hollow waveguides. Numerical results show that the coupling efficiency depends strongly on the operating frequency. To be specific, the coupling efficiency can be well above 90% at most frequencies. However, it drops significantly at the resonant frequencies on account of the mode mismatch between the field distribution of input source and the modal pattern of the waveguide mode. The case where a pipe waveguide is connected to another pipe waveguide of different size is also examined, which is considered important for system integration. It is found that, coupling efficiency between the connected pipe waveguides can be high, but the resonant frequencies should be still avoided for efficient operation.