Characteristics of paraxial propagation of a super Lorentz–Gauss SLG01 mode in uniaxial crystal orthogonal to the optical axis

doi:10.1088/1674-1056/21/5/054104

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 54104-054104.doi: 10.1088/1674-1056/21/5/054104

Characteristics of paraxial propagation of a super Lorentz–Gauss SLG₀₁ mode in uniaxial crystal orthogonal to the optical axis

周国泉

School of Sciences, Zhejiang A & F University, Lin'an 311300, China

收稿日期:2011-08-28 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
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, China (Grant No. Y1090073).

Characteristics of paraxial propagation of a super Lorentz–Gauss SLG₀₁ mode in uniaxial crystal orthogonal to the optical axis

Zhou Guo-Quan(周国泉)^†

School of Sciences, Zhejiang A & F University, Lin'an 311300, China

Received:2011-08-28 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10974179) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y1090073).

摘要/Abstract

摘要： Analytical propagation expression of a super Lorentz--Gauss (SLG)₀₁ mode in uniaxial crystal orthogonal to the optical axis is derived. The SLG₀₁ mode propagating in uniaxial crystal orthogonal to the optical axis mainly depends on the ratio of the extraordinary refractive index to the ordinary refractive index. The SLG₀₁ mode propagating in uniaxial crystals becomes an astigmatic beam. The beam spot of the SLG₀₁ mode in the uniaxial crystal is elongated in the x-or y-direction, which is determined by the ratio of the extraordinary refractive index to the ordinary refractive index. With the increase of the deviation of the ratio of the extraordinary refractive index to the ordinary refractive index from unity, the elongation of the beam spot also augments. In different observation planes, the phase distribution of an SLG₀₁ mode in the uniaxial crystal takes on different shapes. With the variation of the ratio of the extraordinary refractive index to the ordinary refractive index, the phase distribution is elongated in one transversal direction and is contracted in the other perpendicular direction. This research is beneficial to the practical applications of an SLG mode.

关键词: super Lorentz--Gauss mode, uniaxial crystals, paraxial propagation

Abstract: Analytical propagation expression of a super Lorentz--Gauss (SLG)₀₁ mode in uniaxial crystal orthogonal to the optical axis is derived. The SLG₀₁ mode propagating in uniaxial crystal orthogonal to the optical axis mainly depends on the ratio of the extraordinary refractive index to the ordinary refractive index. The SLG₀₁ mode propagating in uniaxial crystals becomes an astigmatic beam. The beam spot of the SLG₀₁ mode in the uniaxial crystal is elongated in the x-or y-direction, which is determined by the ratio of the extraordinary refractive index to the ordinary refractive index. With the increase of the deviation of the ratio of the extraordinary refractive index to the ordinary refractive index from unity, the elongation of the beam spot also augments. In different observation planes, the phase distribution of an SLG₀₁ mode in the uniaxial crystal takes on different shapes. With the variation of the ratio of the extraordinary refractive index to the ordinary refractive index, the phase distribution is elongated in one transversal direction and is contracted in the other perpendicular direction. This research is beneficial to the practical applications of an SLG mode.

Key words: super Lorentz--Gauss mode, uniaxial crystals, paraxial propagation

中图分类号: (Particle beam profile, beam intensity)

41.85.Ew

42.25.Bs (Wave propagation, transmission and absorption) 42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation) 42.70.-a (Optical materials)

周国泉. Characteristics of paraxial propagation of a super Lorentz–Gauss SLG₀₁ mode in uniaxial crystal orthogonal to the optical axis[J]. 中国物理B, 2012, 21(5): 54104-054104.

Zhou Guo-Quan(周国泉) . Characteristics of paraxial propagation of a super Lorentz–Gauss SLG₀₁ mode in uniaxial crystal orthogonal to the optical axis[J]. Chin. Phys. B, 2012, 21(5): 54104-054104.

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Characteristics of paraxial propagation of a super Lorentz–Gauss SLG₀₁ mode in uniaxial crystal orthogonal to the optical axis

Characteristics of paraxial propagation of a super Lorentz–Gauss SLG₀₁ mode in uniaxial crystal orthogonal to the optical axis

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