Abstract: The Fano resonance transmission in electron waveguide/quantum dot system is investigated theoretically. In the first energy window, the influence of second excited state on Fano resonance is considered. The calculation results show that the resonance energy, the resonance peak height, and the stopping energy are not affected, but the transmission in off-resonance energy region changed apparently. In the second energy window, there exist two incident eigenmodes, each incident mode can excite two transmission modes. For any incident mode, the corresponding transmission Fano resonance is attributed to the transmission mode possessing the wave victor same with the incident mode. The two incident modes bring the Fano resonances at the same energy point. The response of the Fano resonance position to external electric potential exhibits the linear characteristics.

Key words: Fano resonance, electron waveguide, transmission