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We theoretically investigate single-photon polarization conversion via scattering by an atom with Λ configuration coupled to a semi-infinite waveguide and discuss the two cases in which the Λ system is non-degenerated and degenerated.By applying the hard-wall boundary condition of the semi-infinite waveguide,it is found that singlephoton polarization conversion can be realized with unit probability for both cases under the ideal condition.Together with the polarization conversion,the frequency conversion of a single photon can also be realized with unit probability in the ideal case if the Λ system is not degenerated.