In this paper, a method for obtaining a two-layer single-feed dual-band circularly polarized antenna with QUAD-EMC structure is proposed and studied. The proposed dual-band CP design is achieved by four identical patches uniformly displayed with a rectangular aperture and fed electromagnectically by a driven patch etched on a lower substrate. Then, by tuning upper and lower patch size and truncating patch corners respectively and properly, the proposed antenna can perform dual-band CP radiation using a single probe feed. Prototypes of the proposed antennas designed for RFID operations in the 915MHz and 2.45GHz bands are presented and experimentally demonstrated. Furthermore, an air-layer is added as a substrate behind the stacked FR4 substrate to enhance the gain and bandwidth of return loss of the proposed dual-band CP antenna. Finally, the bandwidth of return loss and gain of the dual-band CP antenna with an air layer are strongly enhanced.