中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3466-3472.doi: 10.1088/1674-1056/18/8/056

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The influence of nonparaxiality on the spectral behavior in Young's experiment illuminated by partially coherent light

赵光普1, 吕百达2   

  1. (1)Computational Physics Key Laboratory of Higher Education of Sichuan Province, Yibin University, Yibin 644000, China; (2)Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China
  • 收稿日期:2008-12-05 修回日期:2009-01-02 出版日期:2009-08-20 发布日期:2009-08-20
  • 基金资助:
    Project suported by the National Natural Science Foundation of China (Grant No 10574097)，the Outstanding Young Researcher Foundation of Sichuan Province, China (Grant No 03ZQ026-061), the Applied and Basic Research Foundation of Sichuan Province, China (Grant No 05J Y029-102), and the Natural Science Foundation of Yibin University, China (Grant No 2008B04).

The influence of nonparaxiality on the spectral behavior in Young's experiment illuminated by partially coherent light

Zhao Guang-Pu(赵光普)a)† and Lü Bai-Da(吕百达)b)   

  1. a Computational Physics Key Laboratory of Higher Education of Sichuan Province, Yibin University, Yibin 644000, China; b Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China
  • Received:2008-12-05 Revised:2009-01-02 Online:2009-08-20 Published:2009-08-20
  • Supported by:
    Project suported by the National Natural Science Foundation of China (Grant No 10574097)，the Outstanding Young Researcher Foundation of Sichuan Province, China (Grant No 03ZQ026-061), the Applied and Basic Research Foundation of Sichuan Province, China (Grant No 05J Y029-102), and the Natural Science Foundation of Yibin University, China (Grant No 2008B04).

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摘要： Starting from the Rayleigh--Sommerfeld diffraction integral, this paper studies the spectral behavior in Young's experiment illuminated by nonparaxial partially coherent light and compares with the paraxial case, where the influence of nonparaxiality of partially coherent light on the spectral shifts and spectral switches is stressed. It is shown that there is a spectral shift in the nonparaxial case relative to the paraxial one and the critical position changes, at which the spectral switch occurs. The ratio of the waist width to the central wavelength w0/λ0 and relative spatial correlation length \De affect the spectral difference. The smaller w0/λ0 is, the larger the difference between the nonparaxial and paraxial results appears. The effect of relative spatial correlation length Δ is relatively small.

Abstract: Starting from the Rayleigh--Sommerfeld diffraction integral, this paper studies the spectral behavior in Young's experiment illuminated by nonparaxial partially coherent light and compares with the paraxial case, where the influence of nonparaxiality of partially coherent light on the spectral shifts and spectral switches is stressed. It is shown that there is a spectral shift in the nonparaxial case relative to the paraxial one and the critical position changes, at which the spectral switch occurs. The ratio of the waist width to the central wavelength $w_0/\lambda_0$ and relative spatial correlation length $\varDelta$ affect the spectral difference. The smaller $w_0/\lambda_0$ is, the larger the difference between the nonparaxial and paraxial results appears. The effect of relative spatial correlation length $\varDelta$ is relatively small.

Key words: nonparaxial beams, Young's experiment, spectral shift and spectral switch, partially coherent light

中图分类号:  (Coherence)

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42.25.Bs (Wave propagation, transmission and absorption) 42.25.Hz (Interference)