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We study theoretically the electron transport properties for an open rectangular quantum dot under an external electromagnetic field illumination in the ballistic regime. Using the effective mass free-electron approximation, the scattering matrix for the system has been formulated by the time-dependent mode-match method. Some interesting properties of the electron transmission have been demonstrated through serval numerical examples. The dependence of electron transmission on the electron incident energy is found to exhibit Fano dip structures due to the field-induced intersubband scatterings into quasibound states in the dot. Moreover, with an appropriate incident energy the electron transmission as a function of the field frequency and/or amplitude shows a rich structure. Our results suggest that the electron transport properties of an open rectangular quantum dot are affected by the interplay effects between the nonadiabatic dot-lead connection and the applied field.

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