中国物理B ›› 2006, Vol. 15 ›› Issue (11): 2609-2617.doi: 10.1088/1009-1963/15/11/026

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Propagation properties of off-axis Hermite--cosh--Gaussian beam combinations through a first-order optical system

陈大明1, 唐前进2, 于永爱2, 胡企铨2   

  1. (1)Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China; (2)Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai201800, China
  • 收稿日期:2005-11-10 修回日期:2006-07-10 出版日期:2006-11-20 发布日期:2006-11-20

Propagation properties of off-axis Hermite--cosh--Gaussian beam combinations through a first-order optical system

Tang Qian-Jin(唐前进)†, Chen Da-Ming(陈大明), Yu Yong-Ai(于永爱), and Hu Qi-Quan(胡企铨)   

  1. a Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China; b Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai201800, China
  • Received:2005-11-10 Revised:2006-07-10 Online:2006-11-20 Published:2006-11-20

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摘要： Based on the Collins integral formula, the analytic expressions of propagation of the coherent and the incoherent off-axis Hermite--cosh--Gaussian (HChG) beam combinations with rectangular symmetry passing through a paraxial first-order optical system are derived, and corresponding numerical examples are given and analysed. The resulting beam quality is discussed in terms of power in the bucket (PIB). The study suggests that the resulting beam cannot keep the initial intensity shape during the propagation and the beam quality for coherent mode is not always better than that for incoherent mode. Reviewing the numerical simulations of Gaussian, Hermite--Gaussian (HG) and cosh--Gaussian (ChG) beam combinations indicates that the Hermite polynomial exerts a chief influence on the irradiance profile of composite beam and far field power concentration.

Abstract: Based on the Collins integral formula, the analytic expressions of propagation of the coherent and the incoherent off-axis Hermite--cosh--Gaussian (HChG) beam combinations with rectangular symmetry passing through a paraxial first-order optical system are derived, and corresponding numerical examples are given and analysed. The resulting beam quality is discussed in terms of power in the bucket (PIB). The study suggests that the resulting beam cannot keep the initial intensity shape during the propagation and the beam quality for coherent mode is not always better than that for incoherent mode. Reviewing the numerical simulations of Gaussian, Hermite--Gaussian (HG) and cosh--Gaussian (ChG) beam combinations indicates that the Hermite polynomial exerts a chief influence on the irradiance profile of composite beam and far field power concentration.

Key words: laser technology, beam propagation, beam combination, HChG

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

  • 42.60.Jf
42.79.-e (Optical elements, devices, and systems)