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A dielectric barrier discharge (DBD) lamp is investigated by using sinusoidal power with a 10 kHz frequency in open air at atmospheric pressure.With increasing applied voltages, the different discharge phenomena appear.At relatively low voltages, the discharge states are general stochastic filamentary discharges with weak light.However, at relatively high voltages, the walls of quartz tubes are heated sharply by plasma, and then the dazzling light is emitted very quickly to form the DBD Lamp, corresponding to the low maintaining voltage that is lower than the ignited voltage.The discharge state or mode of the DBD lamp that corresponds to the glow discharge is deduced according to the wave form of the circuit current, which is evidently different from the filamentary discharges.Under these conditions, the spectrum of the DBD lamp is continuous in the range 400-932nm, which is scanned in the range 300-932nm.It is also shown that there is another discharge state or mode that is different from the traditional filamentary discharges.Therefore, it is concluded that the discharge state or mode of the DBD lamp is a glow discharge.