A New Method for Interpreting the Effective Radius of Curvature: Two-Dimensional Case
CAO Qing, DENG Xi-ming
National Laboratory on High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800
A New Method for Interpreting the Effective Radius of Curvature: Two-Dimensional Case
CAO Qing;DENG Xi-ming
National Laboratory on High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800
关键词 ：
42.25.-p ,
42.60.Jf
Abstract ： Starting from the vector field theory, the expression of the time average energy flow density < S > of a paraxial scalar light beam is deduced. In terms of this expression, the x (or y) directional weighted deviation is reasonably defined between the real-beam wavefrontand an imaginary ellipsoidal wavefront which is used to replace the real-beam wavefront. It is proved that, when Rx and Ry are just the x and y directional effective radii of curvature, respectively, the ellipsoidal wavefront Le = x2 /(2Rx ) + y2 /(2 Ry ) is the best-fit one for the real-beam wavefront L. Finally, the above results are generalized for a general polychrornatic light beams.
Key words ：
42.25.-p
42.60.Jf
出版日期: 1997-06-01
:
42.25.-p
(Wave optics)
42.60.Jf
(Beam characteristics: profile, intensity, and power; spatial pattern formation)
引用本文:
CAO Qing;DENG Xi-ming. A New Method for Interpreting the Effective Radius of Curvature: Two-Dimensional Case[J]. 中国物理快报, 1997, 14(6): 421-423.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y1997/V14/I6/421
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1997, Vol. 14 
