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Stable propagation of large, multifilament arrays over long distances in airpaves new ways for microwave-radiation manipulation. Although, the dynamics ofa single or a few filaments was discussed in some of the previous studies, weshow that the stability of large plasma filament arrays is significantly morecomplicated and is constrained by several trade-offs. Here, we analyze thestability properties of rectangular arrays as a function of four parameters:relative phase of the generating beams, number of filaments, separation betweenthem, and initial power. We find that arrays with alternating phase offilaments are more stable than similar arrays with all beams in phase.Additionally, we show that increasing the size of an array increases itsstability, and that a proper choice of the beam separation and the initialpower has to be made in order to obtain a dense and regular array of filaments.

Dynamics of large femtosecond filament arrays: possibilities, limitations, and trade-offs