Abstract

The M2 factor could be decomposed as amplitude term and phase term. A method to improve the beam quality of laser beams is proposed. In our method, the amplitude and phase of a laser beam are both compensated in order to improve the beam quality completely. In experiment, a laser amplifier is set to modulate the amplitude to Gaussian type, and a deformable mirror is used to compensate the phase aberration. The laser beam is well compensated by our method; the beam quality factor of the laser is improved from 1.7 to 1.1.

© 2013 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Siegman, Proc. SPIE 1224, 2 (1990).
    [CrossRef]
  2. B. J. Neubert and B. Eppich, Opt. Commun. 250, 241 (2005).
    [CrossRef]
  3. J. H. García-López, V. Aboites, A. V. Kir’yanov, M. J. Damzen, and A. Minassian, Opt. Commun. 218, 155 (2003).
    [CrossRef]
  4. X. P. Yan, Q. Liu, X. Fu, D. S. Wang, and M. L. Gong, J. Opt. Soc. Am. B 27, 1286 (2010).
    [CrossRef]
  5. Z. Xiang, D. Wang, S. Q. Pan, Y. T. Dong, Z. G. Zhao, T. Li, J. Ge, C. Liu, and J. Chen, Opt. Express 19, 21060 (2011).
    [CrossRef]
  6. J. Serna, G. Piquero, P. M. Mejias, and R. Martinezherrero, Opt. Quantum Electron. 28, 1039 (1996).
    [CrossRef]
  7. J. Serna, P. M. Mejias, and R. Martinezherrero, Appl. Opt. 31, 4330 (1992).
    [CrossRef]
  8. A. E. Siegman, Appl. Opt. 32, 5893 (1993).
    [CrossRef]
  9. Y. Qiu, L. Huang, M. Gong, L. Qiang, P. Yan, and H. Zhang, Appl. Opt. 51, 6539 (2012).
    [CrossRef]
  10. R. Martinez-Herrero, P. M. Mejias, and G. Piquero, Opt. Lett. 17, 1650 (1992).
    [CrossRef]
  11. R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 95, 18 (1993).
    [CrossRef]
  12. R. Sacks, J. Auerbach, and E. Bliss, Proc. SPIE 3492, 344 (1999).
    [CrossRef]
  13. P. Yang, Y. Ning, and X. Lei, Opt. Express 18, 7121 (2010).
    [CrossRef]
  14. Y. Kanev and V. P. Lukin, Atm. Opt. 4, 878 (1991).
  15. M. C. Roggemann and D. J. Lee, Appl. Opt 37, 4577(1998).
    [CrossRef]
  16. M. J. Bastiaans, Optik 82, 173 (1989).
  17. A. E. Siegman, Lasers (University Science Books, 1986), pp. 264–306.
  18. J. Frauchiger, P. Albers, and H. P. Weber, IEEE J. Quantum Electron. 28, 1046 (1992).
    [CrossRef]
  19. W. P. Risk, J. Opt. Soc. Am. B 5, 1412 (1988).
    [CrossRef]
  20. J. Hashizume, T. Ide, and M. Kanamaru, Jpn. J. Appl. Phys. 50, 9 (2011).
    [CrossRef]

2012

2011

2010

2005

B. J. Neubert and B. Eppich, Opt. Commun. 250, 241 (2005).
[CrossRef]

2003

J. H. García-López, V. Aboites, A. V. Kir’yanov, M. J. Damzen, and A. Minassian, Opt. Commun. 218, 155 (2003).
[CrossRef]

1999

R. Sacks, J. Auerbach, and E. Bliss, Proc. SPIE 3492, 344 (1999).
[CrossRef]

1998

M. C. Roggemann and D. J. Lee, Appl. Opt 37, 4577(1998).
[CrossRef]

1996

J. Serna, G. Piquero, P. M. Mejias, and R. Martinezherrero, Opt. Quantum Electron. 28, 1039 (1996).
[CrossRef]

1993

R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 95, 18 (1993).
[CrossRef]

A. E. Siegman, Appl. Opt. 32, 5893 (1993).
[CrossRef]

1992

1991

Y. Kanev and V. P. Lukin, Atm. Opt. 4, 878 (1991).

1990

A. Siegman, Proc. SPIE 1224, 2 (1990).
[CrossRef]

1989

M. J. Bastiaans, Optik 82, 173 (1989).

1988

Aboites, V.

J. H. García-López, V. Aboites, A. V. Kir’yanov, M. J. Damzen, and A. Minassian, Opt. Commun. 218, 155 (2003).
[CrossRef]

Albers, P.

J. Frauchiger, P. Albers, and H. P. Weber, IEEE J. Quantum Electron. 28, 1046 (1992).
[CrossRef]

Auerbach, J.

R. Sacks, J. Auerbach, and E. Bliss, Proc. SPIE 3492, 344 (1999).
[CrossRef]

Bastiaans, M. J.

M. J. Bastiaans, Optik 82, 173 (1989).

Bliss, E.

R. Sacks, J. Auerbach, and E. Bliss, Proc. SPIE 3492, 344 (1999).
[CrossRef]

Chen, J.

Damzen, M. J.

J. H. García-López, V. Aboites, A. V. Kir’yanov, M. J. Damzen, and A. Minassian, Opt. Commun. 218, 155 (2003).
[CrossRef]

Dong, Y. T.

Eppich, B.

B. J. Neubert and B. Eppich, Opt. Commun. 250, 241 (2005).
[CrossRef]

Frauchiger, J.

J. Frauchiger, P. Albers, and H. P. Weber, IEEE J. Quantum Electron. 28, 1046 (1992).
[CrossRef]

Fu, X.

García-López, J. H.

J. H. García-López, V. Aboites, A. V. Kir’yanov, M. J. Damzen, and A. Minassian, Opt. Commun. 218, 155 (2003).
[CrossRef]

Ge, J.

Gong, M.

Gong, M. L.

Hashizume, J.

J. Hashizume, T. Ide, and M. Kanamaru, Jpn. J. Appl. Phys. 50, 9 (2011).
[CrossRef]

Huang, L.

Ide, T.

J. Hashizume, T. Ide, and M. Kanamaru, Jpn. J. Appl. Phys. 50, 9 (2011).
[CrossRef]

Kanamaru, M.

J. Hashizume, T. Ide, and M. Kanamaru, Jpn. J. Appl. Phys. 50, 9 (2011).
[CrossRef]

Kanev, Y.

Y. Kanev and V. P. Lukin, Atm. Opt. 4, 878 (1991).

Kir’yanov, A. V.

J. H. García-López, V. Aboites, A. V. Kir’yanov, M. J. Damzen, and A. Minassian, Opt. Commun. 218, 155 (2003).
[CrossRef]

Lee, D. J.

M. C. Roggemann and D. J. Lee, Appl. Opt 37, 4577(1998).
[CrossRef]

Lei, X.

Li, T.

Liu, C.

Liu, Q.

Lukin, V. P.

Y. Kanev and V. P. Lukin, Atm. Opt. 4, 878 (1991).

Martinezherrero, R.

J. Serna, G. Piquero, P. M. Mejias, and R. Martinezherrero, Opt. Quantum Electron. 28, 1039 (1996).
[CrossRef]

J. Serna, P. M. Mejias, and R. Martinezherrero, Appl. Opt. 31, 4330 (1992).
[CrossRef]

Martinez-Herrero, R.

R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 95, 18 (1993).
[CrossRef]

R. Martinez-Herrero, P. M. Mejias, and G. Piquero, Opt. Lett. 17, 1650 (1992).
[CrossRef]

Mejias, P. M.

J. Serna, G. Piquero, P. M. Mejias, and R. Martinezherrero, Opt. Quantum Electron. 28, 1039 (1996).
[CrossRef]

R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 95, 18 (1993).
[CrossRef]

J. Serna, P. M. Mejias, and R. Martinezherrero, Appl. Opt. 31, 4330 (1992).
[CrossRef]

R. Martinez-Herrero, P. M. Mejias, and G. Piquero, Opt. Lett. 17, 1650 (1992).
[CrossRef]

Minassian, A.

J. H. García-López, V. Aboites, A. V. Kir’yanov, M. J. Damzen, and A. Minassian, Opt. Commun. 218, 155 (2003).
[CrossRef]

Neubert, B. J.

B. J. Neubert and B. Eppich, Opt. Commun. 250, 241 (2005).
[CrossRef]

Ning, Y.

Pan, S. Q.

Piquero, G.

J. Serna, G. Piquero, P. M. Mejias, and R. Martinezherrero, Opt. Quantum Electron. 28, 1039 (1996).
[CrossRef]

R. Martinez-Herrero, P. M. Mejias, and G. Piquero, Opt. Lett. 17, 1650 (1992).
[CrossRef]

Qiang, L.

Qiu, Y.

Risk, W. P.

Roggemann, M. C.

M. C. Roggemann and D. J. Lee, Appl. Opt 37, 4577(1998).
[CrossRef]

Sacks, R.

R. Sacks, J. Auerbach, and E. Bliss, Proc. SPIE 3492, 344 (1999).
[CrossRef]

Serna, J.

J. Serna, G. Piquero, P. M. Mejias, and R. Martinezherrero, Opt. Quantum Electron. 28, 1039 (1996).
[CrossRef]

J. Serna, P. M. Mejias, and R. Martinezherrero, Appl. Opt. 31, 4330 (1992).
[CrossRef]

Siegman, A.

A. Siegman, Proc. SPIE 1224, 2 (1990).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Appl. Opt. 32, 5893 (1993).
[CrossRef]

A. E. Siegman, Lasers (University Science Books, 1986), pp. 264–306.

Wang, D.

Wang, D. S.

Weber, H. P.

J. Frauchiger, P. Albers, and H. P. Weber, IEEE J. Quantum Electron. 28, 1046 (1992).
[CrossRef]

Xiang, Z.

Yan, P.

Yan, X. P.

Yang, P.

Zhang, H.

Zhao, Z. G.

Appl. Opt

M. C. Roggemann and D. J. Lee, Appl. Opt 37, 4577(1998).
[CrossRef]

Appl. Opt.

Atm. Opt.

Y. Kanev and V. P. Lukin, Atm. Opt. 4, 878 (1991).

IEEE J. Quantum Electron.

J. Frauchiger, P. Albers, and H. P. Weber, IEEE J. Quantum Electron. 28, 1046 (1992).
[CrossRef]

J. Opt. Soc. Am. B

Jpn. J. Appl. Phys.

J. Hashizume, T. Ide, and M. Kanamaru, Jpn. J. Appl. Phys. 50, 9 (2011).
[CrossRef]

Opt. Commun.

R. Martinez-Herrero, and P. M. Mejias, Opt. Commun. 95, 18 (1993).
[CrossRef]

B. J. Neubert and B. Eppich, Opt. Commun. 250, 241 (2005).
[CrossRef]

J. H. García-López, V. Aboites, A. V. Kir’yanov, M. J. Damzen, and A. Minassian, Opt. Commun. 218, 155 (2003).
[CrossRef]

Opt. Express

Opt. Lett.

Opt. Quantum Electron.

J. Serna, G. Piquero, P. M. Mejias, and R. Martinezherrero, Opt. Quantum Electron. 28, 1039 (1996).
[CrossRef]

Optik

M. J. Bastiaans, Optik 82, 173 (1989).

Proc. SPIE

R. Sacks, J. Auerbach, and E. Bliss, Proc. SPIE 3492, 344 (1999).
[CrossRef]

A. Siegman, Proc. SPIE 1224, 2 (1990).
[CrossRef]

Other

A. E. Siegman, Lasers (University Science Books, 1986), pp. 264–306.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1.
Fig. 1.

Amplitude-phase combined compensation system composed by the laser amplifier and DM.

Fig. 2.
Fig. 2.

Sketch of amplitude-phase combined compensation experiment.

Fig. 3.
Fig. 3.

Laser intensity distribution (a) uncompensated and (b) after amplitude modulation.

Fig. 4.
Fig. 4.

Laser wavefront distribution (tilt and defocus limited) (a) uncompensated, (b) after amplitude modulation, and (c) wavefront compensated.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

Mx2=(Mux2)2+(Mφx2)2,
Mφx2|φ=φ0(x)+b2x2+b1x+b0=Mφx2|φ=φ0(x).
z=0z=Lg0(x,y,z)dz=ln[Iout(x,y)Iin(x,y)]+Iout(x,y)Iin(x,y)Is,
g0(x,y,z)=Pabs(x,y,z)λpστfhcNlσ,

Metrics