“…So far, the plasma density and electron temperature inside the filaments in air have been measured and analyzed mostly in the case of air excitation by the femtosecond laser pulses under a single repetition rate [16][17][18] . Recently, laser repetition-related THz production [11] , wake dynamics [19] , fluorescence [20] , clamping intensity [21] , and the cumulative effects [22] from air filaments have been reported as high-energy, ultrashort, high-repetition-rate laser systems become commercially accessible. Through pump-probe experiments [23] , we recently found that the low-density region, due to the accumulative effect by 1 kHz repetition filaments, results in higher plasma density obtained in the measurements.…”