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Electric field distribution is critically important for quantitative insights into the physics of nonequilibrium plasma like corona. To analyze the electric field as well as the ion flow (space charge) distribution under DC corona discharges, the ion flow model has been widely adopted; Kaptzov's assumption, which states that the steady state electric field at the conductor surface remains at the corona onset value, serves as a boundary condition. In this Letter, we investigate the electric field distribution under DC corona discharges between coaxial cylindrical electrodes in ambient air by electric field induced second harmonic generation with nanosecond pulse laser beams. The electric field distribution (with or without the corona discharge) is obtained. By comparing the measurements with the results predicted by the ion flow model for the negative corona discharge, it is found that the electric field at the conductor surface is proportional to the current density of the corona discharge with a negative constant of proportionality. Therefore, for negative corona discharges, Kaptzov's assumption is valid only when the discharge current approaches zero or is small. [ABSTRACT FROM AUTHOR]

Comment on "Electric field measurements under DC corona discharges in ambient air by electric field induced second harmonic generation" [Appl. Phys. Equation (1) is an approximate relation obtained from the ion transport equation coupled with the Poisson equation, and in order to analyze its validity, one should resort to a more accurate theoretical model, comprising these and other relevant equations. It follows that Eq. (1) with the negative ion mobility does not describe correctly the electric field distribution in the region I r i >= 0.2 cm. The latter is indeed the case, as shown in Fig. [Extracted from the article]

Response to "Comment on 'Electric field measurements under DC corona discharges in ambient air by electric field induced second harmonic generation'" [Appl. Phys. As stated in Ref. [2], "we randomly sampled the signals over the time domain, the mean values of the electric field over the time are expected to be obtained after averaging", and the field shown in Ref. [2] is a mean value. Figure 2 of Ref. [1] shows a steady current density distribution, from which a pulseless corona current could be inferred according to Sato's equation. [Extracted from the article]