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Dependence of multiple filamentation on beam ellipticity

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Abstract

We investigate the effects of beam ellipticity on the dynamics of multiple filamentation. We find that increasing the ellipticity of the initial beam decreases the power required for multiple filamentation. At lower input ellipticities, the beam breaks into filaments along its widest dimension, whereas for higher ellipticities the pulse breaks into bands and then into filaments as the power is increased. The breakup patterns of the beam along the wider dimension are consistent with the modulational instability, and these patterns are independent of polarization and noise. Numerical simulations are in qualitative agreement with these features of multiple filamentation breakup.

©2005 Optical Society of America

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Figures (4)

Fig. 1.
Fig. 1. Experimental setup and input profiles for various ellipticites e
Fig. 2.
Fig. 2. CCD camera images of output face of the glass for various input pulse powers. Image area is 2 mm X 1.2 mm. (a) e=2.1 and z=0.34Ldf (b) e=4.1 and z=0.7Ldf (c) e=5.75 and z=0.94Ldf , where Ldf is defined by Eq. 1.
Fig. 3.
Fig. 3. Lineouts from data displayed in Fig. 2. (a) e=2.1, E=63 µJ, (b) e=5.75, E=27 µJ.
Fig. 4.
Fig. 4. Simulated output profiles for various input powers P. (a) e=2, z=0.34Ldf , (b) e=6, z=0.94Ldf

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

L df = kab 2 ,
L nl 1 = 6 π ω 2 A 0 2 χ ( 3 ) kc 2 ,
u z = i 4 2 u + i L df L nl u 2 u i N sat u 4 u ,
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