Propagation of Lorentz-Gaussian beam in gradient-index medium

Zhou Guoquan

doi:10.3788/HPLPB20132501.0042

Volume 25 Issue 01

Dec. 2012

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Article Navigation > High Power Laser and Particle Beams > 2013 > 25(01): 42-46

Li Yukun, Chen Tao, Deng Bo, et al. Energy spectral response of photocathode for soft X-ray streak camera[J]. High Power Laser and Particle Beams, 2014, 26: 022002. doi: 10.3788/HPLPB201426.022002

Citation:

Zhou Guoquan. Propagation of Lorentz-Gaussian beam in gradient-index medium[J]. High Power Laser and Particle Beams, 2013, 25: 42-46. doi: 10.3788/HPLPB20132501.0042

Li Yukun, Chen Tao, Deng Bo, et al. Energy spectral response of photocathode for soft X-ray streak camera[J]. High Power Laser and Particle Beams, 2014, 26: 022002. doi: 10.3788/HPLPB201426.022002

Citation:

Zhou Guoquan. Propagation of Lorentz-Gaussian beam in gradient-index medium[J]. High Power Laser and Particle Beams, 2013, 25: 42-46. doi: 10.3788/HPLPB20132501.0042

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Propagation of Lorentz-Gaussian beam in gradient-index medium

doi: 10.3788/HPLPB20132501.0042

Zhou Guoquan^,

1.
School of Sciences,Zhejiang Agriculture and Forestry University,Lin’an 311300,China

Received Date: 2012-02-10
Rev Recd Date: 2012-05-04
Publish Date: 2013-01-15

Abstract

Abstract

The optical field of a Lorentz-Gaussian beam propagating in a gradient-index medium is derived. Based on the second-order moment of the intensity distribution, the analytical expressions of the half beam width and its changing rate are also presented. The influence of the gradient-index coefficient on the propagation properties of the Lorentz-Gaussian beam is mainly analyzed. The numerical results show that the variation of the normalized intensity distribution, the half beam width and its changing rate are periodic, and the period is times the gradient-index coefficient. The maximum on-axis intensity appears at the half period. The gradient-index coefficient nearly doesnt affect the normalized intensity distribution and the half beam width, but it influences the changing rate of the half beam width.
- Lorentz-Gaussian beam,
- gradient-index medium,
- beam propagation,
- beam width

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