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We perform a theoretical investigation of the clamped laser intensity insidethe filament plasma as a function of gas pressure with external focusing.Unlike the clamped intensity under the selffocusing condition, which isindependent on the gas pressure, the clamped intensity with external focusingdecreases with the gas pressure. Our findings can explain the changes of thesignals of femtosecond-laser-induced 391-nm forward emission and fluorescencewith the nitrogen gas pressure.

The clamped intensity of femtosecond laser pulses varying with gas pressure in the presence of external focusing