We develop the model of the acoustic wave emission by the femtosecond filament and the model of optical nanosecond pulse guiding in the transient waveguide created as a result of interference of acoustic waves diverging from the filaments array. The numerical algorithms and appropriate solvers are created. In the simulation we identify two regions of time delays between the femtosecond pulse launching the acoustic waves and the nanosecond guided pulse, where the optical guiding is achieved with the high and moderate quality.
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