We present an experimental investigation of the propagation of high-intensity laser pulses through a cascade of glass plates, demonstrating the ability to maintain intense post-filamentation channel over extended distances. The use of the cascade leads to a reduction in beam diameter via Kerr lensing, allowing for high-intense pulse propagation more than double the distance achieved without the plates. Furthermore, we demonstrated that the cascade extends the distance over which high-voltage discharge is triggered within the post-filamentation channel, effectively synchronizing the discharge with the laser pulse.
Seleznev et al. (Thu,) studied this question.