Nonparaxial propagation of a super-Lorentz－Gauss SLG01 mode beam

doi:10.1088/1674-1056/19/6/064201

中国物理B ›› 2010, Vol. 19 ›› Issue (6): 64201-064201.doi: 10.1088/1674-1056/19/6/064201

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇下一篇

Nonparaxial propagation of a super-Lorentz－Gauss SLG₀₁ mode beam

周国泉

School of Sciences, Zhejiang Forestry University, Lin'an 311300, Zhejiang Province, China

收稿日期:2009-09-22 出版日期:2010-06-15 发布日期:2010-06-15
基金资助:
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).

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

Received:2009-09-22 Online:2010-06-15 Published:2010-06-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: vectorial Rayleigh--Sommerfeld integral, super-Lorentzian--Gauss beam, nonparaxial propagation

中图分类号: (Beam characteristics: profile, intensity, and power; spatial pattern formation)

42.60.Jf

02.60.Nm (Integral and integrodifferential equations)

周国泉. Nonparaxial propagation of a super-Lorentz－Gauss SLG₀₁ mode beam[J]. 中国物理B, 2010, 19(6): 64201-064201.

Zhou Guo-Quan(周国泉). Nonparaxial propagation of a super-Lorentz－Gauss SLG₀₁ mode beam[J]. Chin. Phys. B, 2010, 19(6): 64201-064201.

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Nonparaxial propagation of a super-Lorentz－Gauss SLG₀₁ mode beam

Nonparaxial propagation of a super-Lorentz－Gauss SLG₀₁ mode beam

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