Abstract

We present the corrected version of the diffraction length of a laser pulse verified with the exact solution of amplitude equation (24) in J. Opt. Soc. Am. A 25, 2232 (2008) in real (not normalized) coordinates.

© 2008 Optical Society of America

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References

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  1. L. M. Kovachev and K. L. Kovachev, “Diffraction of femtosecond pulses; nonparaxial regime,” J. Opt. Soc. Am. A 25, 2232-2243 (2008).
    [CrossRef]

2008

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Figures (1)

Fig. 1
Fig. 1

Deformation of a Gaussian light bullet with initial waist r 0 = 100 μ m and wavenumber k 0 = 7.85 × 10 4 cm 1 , obtained from exact solution (3). The surface A ( x = 0 , y , z ; t = 7.85 cm c ) is plotted. The transverse size r (the spot) grows by a factor 2 over the distance z = 7.85 cm , while the longitudinal z 0 size remains its initial waist. From the selected laser source the distance corresponds to (1) z diff pulse = z diff beam = k 0 r 2 .

Equations (3)

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z diff pulse = z diff beam = k 0 r 2 .
V x ( x , y , z , t ) = F 1 [ B x ( k x , k y , k z , t = 0 ) ] F 1 { exp [ i c ( k 0 ± k x 2 + k y 2 + ( k z k 0 ) 2 ) t ] } ,
A x ( x , y , z , t ) = i 2 r ̂ exp [ k 0 2 r 0 2 2 + i k 0 ( c t z ) ] × { i ( c t + r ̂ ) exp [ 1 2 r 0 2 ( c t + r ̂ ) 2 ] erfc [ i 2 r 0 ( c t + r ̂ ) ] i ( c t r ̂ ) exp [ 1 2 r 0 2 ( c t r ̂ ) 2 ] erfc [ i 2 r 0 ( c t r ̂ ) ] } ,

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