123 citations · 619 across the 23 of their papers we have counts for
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Nonlinear combining of multiple laser beams in Kerr medium
Pavel M. Lushnikov, Natalia Vladimirova
We consider combining of multiple laser beams into a single near diffraction-limited beam by beam self-focusing (collapse) in a Kerr medium. The beams with the total power above cr…
Nonlinear combining of laser beams
Pavel M. Lushnikov, Natalia Vladimirova
We propose to combine multiple laser beams into a single diffraction-limited beam by the beam self-focusing (collapse) in the Kerr medium. The beams with the total power above crit…
Logarithmic scaling of the collapse in the critical Keller-Segel equation
Sergey A. Dyachenko, Pavel M. Lushnikov, Natalia Vladimirova
A reduced Keller-Segel equation (RKSE) is a parabolic-elliptic system of partial differential equations which describes bacterial aggregation and the collapse of a self-gravitating…
Beyond leading order logarithmic scaling in the catastrophic self-focusing (collapse) of a laser beam in Kerr media
Pavel M. Lushnikov, Sergey A. Dyachenko, Natalia Vladimirova
We study the catastrophic stationary self-focusing (collapse) of laser beam in nonlinear Kerr media. The width of a self-similar solutions near collapse distance obeys $(z_…