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Nonparaxial propagation of a super-Lorentz－Gauss SLG01 mode beam |
| Zhou Guo-Quan(周国泉)† |
| School of Sciences, Zhejiang Forestry University, Lin'an 311300, Zhejiang Province, China |
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Abstract Based on the vectorial Rayleigh--Sommerfeld integral formulae, this paper derives the analytical nonparaxial propagation equation of a super-Lorentz--Gauss (SLG) SLG01 mode beam in free space. The far field expression and the scalar paraxial result are treated with special cases of the general formulae. According to the obtained analytical representation, the nonparaxial propagation properties of the SLG01 mode beam are illustrated and analysed with numerical examples. This research provides an approach to investigate the propagation of the SLG01 mode beam within the framework of the nonparaxial regime.
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Received: 22 September 2009
Accepted manuscript online:
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PACS:
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42.60.Jf
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(Beam characteristics: profile, intensity, and power; spatial pattern formation)
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02.60.Nm
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(Integral and integrodifferential equations)
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| Fund: Project supported by the National
Natural Science Foundation of China (Grant No.~10974179) and the
Natural Science Foundation of Zhejiang Province of China (Grant
No.~Y1090073). |
Cite this article:
Zhou Guo-Quan(周国泉) Nonparaxial propagation of a super-Lorentz－Gauss SLG01 mode beam 2010 Chin. Phys. B 19 064201
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