中国物理B ›› 2007, Vol. 16 ›› Issue (5): 1320-1326.doi: 10.1088/1009-1963/16/5/026

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Off-axial elliptical cosine-Gaussian beams and their propagation properties

吕章德   

  1. Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China
  • 收稿日期:2006-10-18 修回日期:2006-11-30 出版日期:2007-05-20 发布日期:2007-05-20

Off-axial elliptical cosine-Gaussian beams and their propagation properties

Lu Zhang-De(吕章德)†   

  1. Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China
  • Received:2006-10-18 Revised:2006-11-30 Online:2007-05-20 Published:2007-05-20

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摘要： In this paper, a new kind of light beam called off-axial elliptical cosine-Gaussian beam (ECosGBs) is defined by using the tensor method. An analytical propagation expression for the ECosGBs passing through axially nonsymmetrical optical systems is derived by using vector integration. The intensity distributions of ECosGBs on the input plane, on the output plane with the equivalent Fresnel number being equal to 0.1 and on the focal plane are respectively illustrated for the propagation properties. The results indicate that an ECosGB is eventually transformed into an elliptical cosh-Gaussian beam. In other words, ECosGBs and cosh-Gaussian beams act in a reciprocal manner after propagation.

Abstract: In this paper, a new kind of light beam called off-axial elliptical cosine-Gaussian beam (ECosGBs) is defined by using the tensor method. An analytical propagation expression for the ECosGBs passing through axially nonsymmetrical optical systems is derived by using vector integration. The intensity distributions of ECosGBs on the input plane, on the output plane with the equivalent Fresnel number being equal to 0.1 and on the focal plane are respectively illustrated for the propagation properties. The results indicate that an ECosGB is eventually transformed into an elliptical cosh-Gaussian beam. In other words, ECosGBs and cosh-Gaussian beams act in a reciprocal manner after propagation.

Key words: elliptical cosine-Gaussian beams, nonsymmetrical optical systems, diffraction integral

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

  • 42.60.Jf
02.10.Ud (Linear algebra) 02.60.Jh (Numerical differentiation and integration) 42.25.Dd (Wave propagation in random media) 42.55.Ah (General laser theory)