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Chinese Physics, 2007, Vol. 16(5): 1320-1326    DOI: 10.1088/1009-1963/16/5/026
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Off-axial elliptical cosine-Gaussian beams and their propagation properties

Lu Zhang-De(吕章德)
Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China
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.
Keywords:  elliptical cosine-Gaussian beams      nonsymmetrical optical systems      diffraction integral  
Received:  18 October 2006      Revised:  30 November 2006      Accepted manuscript online: 
PACS:  42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation)  
  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)  

Cite this article: 

Lu Zhang-De(吕章德) Off-axial elliptical cosine-Gaussian beams and their propagation properties 2007 Chinese Physics 16 1320

[1] Partially coherent nonparaxial modified Bessel--Gauss beams
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