• High Power Laser Science and Engineering
  • Vol. 1, Issue 3-4, 3-43-4000132 (2013)
Xueqiong Chen1, Xiaoyan Li1, Ziyang Chen1, Jixiong Pu1、*, Guowen Zhang2, and Jianqiang Zhu2
Author Affiliations
  • 1Fujian Provincial Key Laboratory of Light Propagation and Transformation, College of Information Science & Engineering, Huaqiao University, Xiamen 361021, China
  • 2National Laboratory on High Power Laser and Physics Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Qinghe Road, Jiading District 390, Shanghai 201800, China
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    DOI: 10.1017/hpl.2013.22 Cite this Article Set citation alerts
    Xueqiong Chen, Xiaoyan Li, Ziyang Chen, Jixiong Pu, Guowen Zhang, Jianqiang Zhu. Propagation characteristics of a high-power broadband laser beam passing through a nonlinear optical medium with defects[J]. High Power Laser Science and Engineering, 2013, 1(3-4): 3-43-4000132 Copy Citation Text show less

    Abstract

    The intensity distributions of a high-power broadband laser beam passing through a nonlinear optical medium with defects and then propagating in free space are investigated based on the general nonlinear Schr?dinger equation and the split-step Fourier numerical method. The influences of the bandwidth of the laser beam, the thickness of the medium, and the defects on the light intensity distribution are revealed. We find that the nonlinear optical effect can be suppressed and that the uniformity of the beam can be improved for a high-power broadband laser beam with appropriate wide bandwidth. It is also found that, under the same incident light intensity, a thicker medium will lead to a stronger self-focusing intensity, and that the influence of defects in the optical elements on the intensity is stronger for a narrowband beam than for a broadband beam.
    $$\begin {equation}\label {eqn1} t(x,y) = 1 - A\exp \left [- \frac {(x - x_0 )^2 + (y - y_0 )^2}{a^2}\right ], \end {equation}$$(1)

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    $$\begin {equation} \label {eq1} n_0 ^2(\lambda ) - 1 = \frac {B_1 \cdot \lambda ^2}{(\lambda ^2 - C_1 )} + \frac {B_2 \cdot \lambda ^2}{(\lambda ^2 - C_2 )} + \frac {B_3 \cdot \lambda ^2}{(\lambda ^2 - C_3 )}, \end {equation}$$(2)

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    $$\begin {equation} \label {eq2} n_2^{esu} (\lambda ) = 6.57\frac {(n_0 (\lambda )^2 - 1)^4} {n_0 (\lambda )} \cdot 10^{ - 14}esu. \end {equation}$$(3)

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    $$\begin {equation} \label {eq3} i\frac {\partial E}{\partial z} = - \frac {1}{2k}\nabla _ \bot ^2 E + \frac {\beta _2 }{2}\frac {\partial ^2}{\partial \tau ^2}E - \frac {k\Delta n(\lambda )}{n_0 (\lambda )}E, \end {equation}$$(4)

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    $$\begin {equation} \label {eq4} i\frac {\partial E}{\partial z} = - \frac {1}{2k}\nabla _ \bot ^2 E. \end {equation}$$(5)

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    $$\begin {equation} \label {eq5} \Delta n_j \left ({\lambda _j } \right ) = n_2 \left ({\lambda _j } \right )\left (\lvert {E_j }\rvert ^2 + 2\sum _{ jj = 1 \atop jj \ne j }^n \lvert {E_{jj}}\rvert ^2\right ). \end {equation}$$(6)

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    (7)

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    (8)

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    $$\begin {equation} \label {eq8} E_j (x,y,0) = \exp \left [- 0.5\left (\frac {x^2 + y^2}{w_0^2 }\right )^N\right ], \end {equation}$$(9)

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    Xueqiong Chen, Xiaoyan Li, Ziyang Chen, Jixiong Pu, Guowen Zhang, Jianqiang Zhu. Propagation characteristics of a high-power broadband laser beam passing through a nonlinear optical medium with defects[J]. High Power Laser Science and Engineering, 2013, 1(3-4): 3-43-4000132
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