中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1821-1825.doi: 10.1088/1674-1056/17/5/045

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Theoretical study on phase conjugation in weakly injected vertical-cavity surface-emitting lasers

张伟利, 潘 炜, 罗 斌, 李孝峰, 邹喜华, 王梦遥   

  1. School of Information Science & Technology, Southwest Jiaotong University, Chengdu 610031, China
  • 收稿日期:2007-06-27 修回日期:2007-09-14 出版日期:2008-05-20 发布日期:2008-05-20
  • 基金资助:
    Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No 20070613058), the Foundation for Key Program of Ministry of Education, China (Grant No 2005105148), and the Doctoral Innovation Fund of Sout

Theoretical study on phase conjugation in weakly injected vertical-cavity surface-emitting lasers

Zhang Wei-Li(张伟利)†, Pan Wei(潘炜), Luo Bin(罗斌), Li Xiao-Feng(李孝峰), Zou Xi-Hua(邹喜华), and Wang Meng-Yao(王梦遥)   

  1. School of Information Science & Technology, Southwest Jiaotong University, Chengdu 610031, China
  • Received:2007-06-27 Revised:2007-09-14 Online:2008-05-20 Published:2008-05-20
  • Supported by:
    Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No 20070613058), the Foundation for Key Program of Ministry of Education, China (Grant No 2005105148), and the Doctoral Innovation Fund of Sout

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摘要： This paper gives a detailed theoretical investigation on phase conjugation induced by nearly degenerate four-wave mixing in single mode vertical-cavity surface-emitting lasers (VCSELs) with weak optical injection. Considering VCSELs that can work in linearly polarized or elliptically polarized states, it derives the theoretical expression of the conjugated field by small signal analysis based on the vectoral rate equations---the spin-flip model. For linearly polarized state, VCSELs show similar conjugate spectra to edge-emitting semiconductor lasers. For the elliptically polarized state, dichroism and birefringence parameters as well as the spin-flip rate can change the conjugate spectra. Especially, when frequency detuning of the probe and pump waves is between the positive and negative relaxation oscillation frequency, changes are evident. For specific values of parameters, conjugate efficiency between 20\,dB to 40dB are obtained.

Abstract: This paper gives a detailed theoretical investigation on phase conjugation induced by nearly degenerate four-wave mixing in single mode vertical-cavity surface-emitting lasers (VCSELs) with weak optical injection. Considering VCSELs that can work in linearly polarized or elliptically polarized states, it derives the theoretical expression of the conjugated field by small signal analysis based on the vectoral rate equations---the spin-flip model. For linearly polarized state, VCSELs show similar conjugate spectra to edge-emitting semiconductor lasers. For the elliptically polarized state, dichroism and birefringence parameters as well as the spin-flip rate can change the conjugate spectra. Especially, when frequency detuning of the probe and pump waves is between the positive and negative relaxation oscillation frequency, changes are evident. For specific values of parameters, conjugate efficiency between 20\,dB to 40dB are obtained.

Key words: phase conjugate, VCSELs, polarization, four-wave mixing

中图分类号:  (Phase conjugation; photorefractive and Kerr effects)

  • 42.65.Hw
42.25.Lc (Birefringence) 42.55.Px (Semiconductor lasers; laser diodes) 78.20.Fm (Birefringence)