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Control of the filamentation distance and pattern in long-range atmospheric propagation

Shmuel Eisenmann, Einat Louzon, Yiftach Katzir, Tala Palchan, Arie Zigler, Yonatan Sivan, and Gadi Fibich

Open Access Open Access

Abstract

We use the double-lens setup [10, 11] to achieve a 20-fold delay of the filamentation distance of non-chirped 120 fs pulses propagating in air, from 16m to 330m. At 330m, the collapsing pulse is sufficiently powerful to create plasma filaments. We also show that the scatter of the filaments at 330m can be significantly reduced by tilting the second lens. To the best of our knowledge, this is the longest distance reported in the Literature at which plasma filaments were created and controlled. Finally, we show that the peak power at the onset of collapse is significantly higher with the double-lens setup, compared with the standard negative chirping approach.

©2007 Optical Society of America

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Figures (3)
Fig. 1.
Fig. 1. (a) Experimental setup - laser pulse passes through a defocusing lens (F 1) followed by a (possibly tilted) focusing lens (F 2). (b) Experimental data (red dots) vs. theoretical prediction (blue solid line) for filamentation distance z c ( d ) as a function of distance between the lenses d.

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Fig. 2.
Fig. 2. Burn marks on a PVC target created by ≈ 300 laser shots at z = 330m for an (a) untilted, and (b) tilted second lens.

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Fig. 3.
Fig. 3. Numerical solution of NLS with time dispersion with P 0 (C) ≈ 1.36Pcr (solid black line) and numerical solution of NLS without time dispersion (CW beam) with the same input power (dotted blue line). (a) On-axis amplitude (b) peak power.

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Equations (4)

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z c ( d ) = d + F 2 z c ( F 1 − d ) − d F 1 ( F 1 + F 2 ) z c + F 1 F 2 − d ( z c + F 1 ) ,
t 0 ( C = − 44 ) = t 0 1 + C 2 = 5.3 ps .
P 0 ( C = − 44 ) = 60 1 + ( − 44 ) 2 P cr ≈ 1.36 P cr .
z ( T min , C = − 44 ) = ∣ C ∣ 2 ( 1 + C 2 ) L disp ( C ) ≅ 28 km .
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