中国物理B ›› 2006, Vol. 15 ›› Issue (10): 2324-2331.doi: 10.1088/1009-1963/15/10/022

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The statistical fluctuation of a single-mode laser system driven by coloured pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts

吴大进1, 徐大海2, 程庆华2, 曹　力3   

  1. (1)Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; (2)School of Physical Science and Technology, Yangtze University, Jingzhou 434104, China;State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China; (3)State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China
  • 收稿日期:2005-09-20 修回日期:2006-03-26 出版日期:2006-10-20 发布日期:2006-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10275025) and Emphases Item of Education Office of Hubei Province China (Grant Nos D200612001 and 2004X052).

The statistical fluctuation of a single-mode laser system driven by coloured pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts

Xu Dai-Hai (徐大海)ab, Cheng Qing-Hua (程庆华)ab, Cao Li (曹力)b, Wu Da-Jin (吴大进)c   

  1. a School of Physical Science and Technology, Yangtze University, Jingzhou 434104, China; b State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China; c Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2005-09-20 Revised:2006-03-26 Online:2006-10-20 Published:2006-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10275025) and Emphases Item of Education Office of Hubei Province China (Grant Nos D200612001 and 2004X052).

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摘要： Using the linear approximation method, this paper studies the statistical property of a single-mode laser driven by both coloured pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts, and calculates the steady-state mean normalized intensity fluctuation and intensity correlation time. It analyses the influences of the modulation signal, the net gain coefficient, the noise and its correlation form on the statistical fluctuation of the laser system respectively. It is found that the coloured pump noise modulated by the signal has a great suppressing action on the statistical fluctuation of the laser system; the pump noise self-correlation time and the specific frequency of modulation signal have the result that the statistical fluctuation tends to zero. Furthermore, the `colour' correlation of pump noise has much influences on the statistical fluctuation of the laser system. Increasing the intensity of pump noise will augment the statistical fluctuation of the laser system, but the intensity of quantum noise and the coefficient of cross-correlation between its real and imaginary parts have less influence on the statistical fluctuation of the laser system. Therefore, from the conclusions of this paper the statistical property can be known and a theoretical basis for steady operation and output of the laser system can be provided.

关键词: signal, noise, single-mode laser, steady-state mean normalized intensity fluctuation, intensity correlation time

Abstract: Using the linear approximation method, this paper studies the statistical property of a single-mode laser driven by both coloured pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts, and calculates the steady-state mean normalized intensity fluctuation and intensity correlation time. It analyses the influences of the modulation signal, the net gain coefficient, the noise and its correlation form on the statistical fluctuation of the laser system respectively. It is found that the coloured pump noise modulated by the signal has a great suppressing action on the statistical fluctuation of the laser system; the pump noise self-correlation time and the specific frequency of modulation signal have the result that the statistical fluctuation tends to zero. Furthermore, the `colour' correlation of pump noise has much influences on the statistical fluctuation of the laser system. Increasing the intensity of pump noise will augment the statistical fluctuation of the laser system, but the intensity of quantum noise and the coefficient of cross-correlation between its real and imaginary parts have less influence on the statistical fluctuation of the laser system. Therefore, from the conclusions of this paper the statistical property can be known and a theoretical basis for steady operation and output of the laser system can be provided.

Key words: signal, noise, single-mode laser, steady-state mean normalized intensity fluctuation, intensity correlation time

中图分类号:  (Dynamical laser instabilities; noisy laser behavior)

  • 42.60.Mi
42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps) 42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation) 42.60.Lh (Efficiency, stability, gain, and other operational parameters)