Abstract

The polarization dynamics of a quasi-isotropic single-mode laser subjected to multiple optical feedback is presented. The variable duty cycle of two eigenstates is observed in high-frequency optical fringes. The high-frequency optical fringes are induced by the multiple reflections in the asymmetry feedback cavity. The duty cycle of two eigenstates can be controlled easily by adjusting the position of polarization flipping due to the residual stress of laser mirror. Particularly, when the frequency difference results from residual stress is reduced to 1.5MHz, the position of polarization flipping moves to the edge of each fringe which can be used to measure small displacement with direction sensitivity and high resolution.

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References

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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2013 (1)

2010 (4)

S. Xiang, W. Pan, L. Yan, B. Luo, N. Jiang, K. Wen, X. Zou, and L. Yang, “Polarization degree of vertical-cavity surface-emitting lasers subject to optical feedback with controllable polarization,” J. Opt. Soc. Am. B27(3), 476–483 (2010).
[CrossRef]

S. Xiang, W. Pan, L. Yan, and K. Wen, “Variable-polarization optical feedback induced hysteresis of the polarization switching in vertical-cavity surface-emitting lasers,” J. Opt. Soc. Am. B27(12), 2512–2517 (2010).
[CrossRef]

C. Ren, Y. Tan, and S. Zhang, “Polarization switching in a quasi-isotropic microchip Nd:YAG laser induced by optical feedback,” Chin. Phys. B.19(2), 024206 (2010).
[CrossRef]

H. Lin, J. Hoshue, Z. J. Lapin, and A. Valle, “Polarization instabilities in a multi-transverse-mode vertical-cavity surface-emitting laser with polarized optical feedback,” Opt. Commun.283(7), 1424–1433 (2010).
[CrossRef]

2009 (1)

K. Chen, J. Chen, and C. Cheng, “Measurement of small displacements with polarization properties of inter l reflection and heterodyne interferometry,” Opt. Eng.48(4), 043606 (2009).
[CrossRef]

2008 (1)

2006 (1)

2005 (2)

L. Fei, S. Zhang, Y. Li, and J. Zhu, “Polarization control in a He-Ne laser using birefringence feedback,” Opt. Express13(8), 3117–3122 (2005).
[CrossRef] [PubMed]

L. Fei, S. Zhang, and X. Wan, “Displacement measurement based on polarization hopping of laser with optical feedback,” Proc. SPIE5634, 270–277 (2005).
[CrossRef]

2003 (1)

1993 (1)

1992 (1)

G. Ropars, A. L. Floch, and R. L. Naour, “Polarization control mechanisms in vectorial bistable lasers for one-frequency systems,” Phys. Rev. A46(1), 623–640 (1992).
[CrossRef] [PubMed]

1989 (1)

D. S. Seo, J. D. Park, J. G. Mclnerney, and M. Osinski, “Multiple feedback effects in asymmetric external cavity semiconductor lasers,” IEEE J. Quantum Electron.25(11), 2229–2238 (1989).
[CrossRef]

1985 (1)

G. Stephan and D. Hugon, “Light polarization of a quasi-isotropic laser with optical feedback,” Phys. Rev. Lett.55(7), 703–706 (1985).
[CrossRef] [PubMed]

1984 (1)

A. L. Floch, G. Ropars, J. M. Lenormand, and R. L. Naour, “Dynamics of laser eigenstates,” Phys. Rev. Lett.52(11), 918–921 (1984).
[CrossRef]

Besnard, P.

Blondel, M.

Chen, J.

K. Chen, J. Chen, and C. Cheng, “Measurement of small displacements with polarization properties of inter l reflection and heterodyne interferometry,” Opt. Eng.48(4), 043606 (2009).
[CrossRef]

Chen, K.

K. Chen, J. Chen, and C. Cheng, “Measurement of small displacements with polarization properties of inter l reflection and heterodyne interferometry,” Opt. Eng.48(4), 043606 (2009).
[CrossRef]

Chen, W.

Cheng, C.

K. Chen, J. Chen, and C. Cheng, “Measurement of small displacements with polarization properties of inter l reflection and heterodyne interferometry,” Opt. Eng.48(4), 043606 (2009).
[CrossRef]

Dalgliesh, R.

Fei, L.

L. Fei, S. Zhang, and X. Wan, “Displacement measurement based on polarization hopping of laser with optical feedback,” Proc. SPIE5634, 270–277 (2005).
[CrossRef]

L. Fei, S. Zhang, Y. Li, and J. Zhu, “Polarization control in a He-Ne laser using birefringence feedback,” Opt. Express13(8), 3117–3122 (2005).
[CrossRef] [PubMed]

Floch, A. L.

G. Ropars, A. L. Floch, and R. L. Naour, “Polarization control mechanisms in vectorial bistable lasers for one-frequency systems,” Phys. Rev. A46(1), 623–640 (1992).
[CrossRef] [PubMed]

A. L. Floch, G. Ropars, J. M. Lenormand, and R. L. Naour, “Dynamics of laser eigenstates,” Phys. Rev. Lett.52(11), 918–921 (1984).
[CrossRef]

Hoshue, J.

H. Lin, J. Hoshue, Z. J. Lapin, and A. Valle, “Polarization instabilities in a multi-transverse-mode vertical-cavity surface-emitting laser with polarized optical feedback,” Opt. Commun.283(7), 1424–1433 (2010).
[CrossRef]

Hugon, D.

G. Stephan and D. Hugon, “Light polarization of a quasi-isotropic laser with optical feedback,” Phys. Rev. Lett.55(7), 703–706 (1985).
[CrossRef] [PubMed]

Jia, X.

Jiang, N.

Lapin, Z. J.

H. Lin, J. Hoshue, Z. J. Lapin, and A. Valle, “Polarization instabilities in a multi-transverse-mode vertical-cavity surface-emitting laser with polarized optical feedback,” Opt. Commun.283(7), 1424–1433 (2010).
[CrossRef]

Lenormand, J. M.

A. L. Floch, G. Ropars, J. M. Lenormand, and R. L. Naour, “Dynamics of laser eigenstates,” Phys. Rev. Lett.52(11), 918–921 (1984).
[CrossRef]

Li, Y.

Lin, H.

H. Lin, J. Hoshue, Z. J. Lapin, and A. Valle, “Polarization instabilities in a multi-transverse-mode vertical-cavity surface-emitting laser with polarized optical feedback,” Opt. Commun.283(7), 1424–1433 (2010).
[CrossRef]

Liu, M.

Liu, W.

Long, X.

Luo, B.

Mao, W.

May, A. D.

Mclnerney, J. G.

D. S. Seo, J. D. Park, J. G. Mclnerney, and M. Osinski, “Multiple feedback effects in asymmetric external cavity semiconductor lasers,” IEEE J. Quantum Electron.25(11), 2229–2238 (1989).
[CrossRef]

Mégret, P.

Naour, R. L.

G. Ropars, A. L. Floch, and R. L. Naour, “Polarization control mechanisms in vectorial bistable lasers for one-frequency systems,” Phys. Rev. A46(1), 623–640 (1992).
[CrossRef] [PubMed]

A. L. Floch, G. Ropars, J. M. Lenormand, and R. L. Naour, “Dynamics of laser eigenstates,” Phys. Rev. Lett.52(11), 918–921 (1984).
[CrossRef]

Osinski, M.

D. S. Seo, J. D. Park, J. G. Mclnerney, and M. Osinski, “Multiple feedback effects in asymmetric external cavity semiconductor lasers,” IEEE J. Quantum Electron.25(11), 2229–2238 (1989).
[CrossRef]

Pan, W.

Panajotov, K.

Park, J. D.

D. S. Seo, J. D. Park, J. G. Mclnerney, and M. Osinski, “Multiple feedback effects in asymmetric external cavity semiconductor lasers,” IEEE J. Quantum Electron.25(11), 2229–2238 (1989).
[CrossRef]

Ren, C.

C. Ren, Y. Tan, and S. Zhang, “Polarization switching in a quasi-isotropic microchip Nd:YAG laser induced by optical feedback,” Chin. Phys. B.19(2), 024206 (2010).
[CrossRef]

Ropars, G.

G. Ropars, A. L. Floch, and R. L. Naour, “Polarization control mechanisms in vectorial bistable lasers for one-frequency systems,” Phys. Rev. A46(1), 623–640 (1992).
[CrossRef] [PubMed]

A. L. Floch, G. Ropars, J. M. Lenormand, and R. L. Naour, “Dynamics of laser eigenstates,” Phys. Rev. Lett.52(11), 918–921 (1984).
[CrossRef]

Sciamanna, M.

Seo, D. S.

D. S. Seo, J. D. Park, J. G. Mclnerney, and M. Osinski, “Multiple feedback effects in asymmetric external cavity semiconductor lasers,” IEEE J. Quantum Electron.25(11), 2229–2238 (1989).
[CrossRef]

Stephan, G.

Tan, Y.

C. Ren, Y. Tan, and S. Zhang, “Polarization switching in a quasi-isotropic microchip Nd:YAG laser induced by optical feedback,” Chin. Phys. B.19(2), 024206 (2010).
[CrossRef]

Thienpont, H.

Valle, A.

H. Lin, J. Hoshue, Z. J. Lapin, and A. Valle, “Polarization instabilities in a multi-transverse-mode vertical-cavity surface-emitting laser with polarized optical feedback,” Opt. Commun.283(7), 1424–1433 (2010).
[CrossRef]

Veretennicoff, I.

Wan, X.

L. Fei, S. Zhang, and X. Wan, “Displacement measurement based on polarization hopping of laser with optical feedback,” Proc. SPIE5634, 270–277 (2005).
[CrossRef]

Wen, K.

Xiang, S.

Yan, L.

Yang, L.

Zhang, S.

Zhang, Y.

Zhu, J.

Zou, X.

Appl. Opt. (2)

Chin. Phys. B. (1)

C. Ren, Y. Tan, and S. Zhang, “Polarization switching in a quasi-isotropic microchip Nd:YAG laser induced by optical feedback,” Chin. Phys. B.19(2), 024206 (2010).
[CrossRef]

IEEE J. Quantum Electron. (1)

D. S. Seo, J. D. Park, J. G. Mclnerney, and M. Osinski, “Multiple feedback effects in asymmetric external cavity semiconductor lasers,” IEEE J. Quantum Electron.25(11), 2229–2238 (1989).
[CrossRef]

J. Opt. Soc. Am. B (3)

Opt. Commun. (1)

H. Lin, J. Hoshue, Z. J. Lapin, and A. Valle, “Polarization instabilities in a multi-transverse-mode vertical-cavity surface-emitting laser with polarized optical feedback,” Opt. Commun.283(7), 1424–1433 (2010).
[CrossRef]

Opt. Eng. (1)

K. Chen, J. Chen, and C. Cheng, “Measurement of small displacements with polarization properties of inter l reflection and heterodyne interferometry,” Opt. Eng.48(4), 043606 (2009).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. A (1)

G. Ropars, A. L. Floch, and R. L. Naour, “Polarization control mechanisms in vectorial bistable lasers for one-frequency systems,” Phys. Rev. A46(1), 623–640 (1992).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

G. Stephan and D. Hugon, “Light polarization of a quasi-isotropic laser with optical feedback,” Phys. Rev. Lett.55(7), 703–706 (1985).
[CrossRef] [PubMed]

A. L. Floch, G. Ropars, J. M. Lenormand, and R. L. Naour, “Dynamics of laser eigenstates,” Phys. Rev. Lett.52(11), 918–921 (1984).
[CrossRef]

Proc. SPIE (1)

L. Fei, S. Zhang, and X. Wan, “Displacement measurement based on polarization hopping of laser with optical feedback,” Proc. SPIE5634, 270–277 (2005).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Experimental setup. M1, M2, Mf: mirrors; PZT: piezoceramics; BS: beam splitter; W: Wollaston prism; D0, D1, D2: PIN photoelectric detectors; D: APD photoelectric detector; SP: spectrum analyzer; P: polarizer; OS: oscilloscope; F: forcing device.

Fig. 2
Fig. 2

Intensity curves of laser feedback. (a) Conventional feedback; (b) Isotropic strong feedback; (c) on an enlarged time scale of (b).

Fig. 3
Fig. 3

Waveforms of polarization flipping with different frequency difference (residual stress): (a) Δv = 8MHz; (b) on an enlarged time scale of (a); (c) Δv = 3.5MHz; (d) on an enlarged time scale of (c); (e) Δv = 1.5MHz; (f) on an enlarged time scale of (e).

Fig. 4
Fig. 4

Displacement measurement results of PZT.

Equations (6)

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ε ˙ =[ 1 2 ρ + β + Δ Φ oe ]+[ c L 1 4 α + S+1 2S Δ Φ 2 oe ]>0
Δ ν oe = ν o ν e = c 2L Δ Φ oe π
c 2L S+1 2S Δ Φ oe > γ ξ o (2 γ 2 + ξ o 2 ) [ Z i ( ξ o ) Z i (0) 1 η ] F o
c 2L Δ Φ oe <j F o 2S S+1 j= γ ξ o (2 γ 2 + ξ o 2 ) [ Z i ( ξ o ) Z i (0) 1 η ]
F o = η 2π Δ[0.003+ (0.004+(1 R eff o )) /2 ]
R eff o = r 2 [ 1+ m=1 q t 2 2 r 2 m-2 r 3 m p m exp(m ω o 2l c + δ m ) ]

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