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A modified conformal technique for fourth-order finite-difference time-domain (FDTD (2, 4)) is proposed. This conformal scheme has higher-order accuracy than that of conventional FDTD and FDTD (2, 4) methods, which are caused by staircasing errors when modeling curved metallic objects. Two integration loops of Faradaypsilas law for the updating of magnetic field components are introduced here. Numerical examples show that the proposed scheme can achieves higher accuracy and low dispersion errors, compared with the low-order conformal method and the conventional staircased FDTD method.