Abstract

Amplitude and phase control of the output beam of a multimode LMA fiber supporting 4 modes is demonstrated by digital holography in both continuous and ns pulsed regimes at 1064 nm. Our system allows dynamic compensation of beam pointing instabilities, external perturbations introducing low order aberrations and fluctuations of the relative phase of the modes supported by the fiber.

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References

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  1. C. X. Yu, J. E. Kansky, S. E. J. Shaw, D. V. Murphy, and C. Higgs, “Coherent beam combining of large number of PM fibres in 2-D fibre array,” Electron. Lett. 42(18), 1024–1025 (2006).
    [CrossRef]
  2. J. Anderegg, S. Brosnan, E. Cheung, P. Epp, D. Hammons, H. Komine, M. Weber, and A. M. Wickham, “Coherently Coupled High Power Fiber Arrays,” Proc. SPIE, 6102, (2006).
  3. E. C. Cheung, M. Weber, and R. R. Rice, “Phase Locking of a Pulsed Fiber Amplifier,” in Advanced Solid-State Photonics, Technical Digest (Optical Society of America, 2008), paper WA2.
  4. L. Lombard, A. Brignon, J. P. Huignard, E. Lallier, and P. Georges, “Beam cleanup in a self-aligned gradient-index Brillouin cavity for high-power multimode fiber amplifiers,” Opt. Lett. 31(2), 158–160 (2006).
    [CrossRef] [PubMed]
  5. B. Steinhausser, A. Brignon, E. Lallier, J. P. Huignard, and P. Georges, “High energy, single-mode, narrow-linewidth fiber laser source using stimulated Brillouin scattering beam cleanup,” Opt. Express 15(10), 6464–6469 (2007).
    [CrossRef] [PubMed]
  6. C. Bellanger, A. Brignon, J. Colineau, and J. P. Huignard, “Coherent fiber combining by digital holography,” Opt. Lett. 33(24), 2937–2939 (2008).
    [CrossRef] [PubMed]
  7. A. Brignon, L. Loiseau, C. Lara, J. P. Huignard, and J. P. Pocholle, “Phase conjugation in a continuous-wave diode-pumped Nd:YVO4 laser,” Appl. Phys. B 69(2), 159–162 (1999).
    [CrossRef]
  8. W. Joseph, Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, Englewood, 2005), Chap. 9.
  9. A. Sennaroglu and J. G. Fujimoto, “Design criteria for Herriott-type multi-pass cavities for ultrashort pulse lasers,” Opt. Express 11(9), 1106–1113 (2003).
    [CrossRef] [PubMed]
  10. I. Hartl, A. Marcinkevicius, H. A. McKay, L. Dong, and M. E. Fermann, “Coherent beam combination using multi-core leakage-channel fibers,” in Advanced Solid-State Photonics, Technical Digest (Optical Society of America, 2009), paper TuA6.

2008

2007

2006

C. X. Yu, J. E. Kansky, S. E. J. Shaw, D. V. Murphy, and C. Higgs, “Coherent beam combining of large number of PM fibres in 2-D fibre array,” Electron. Lett. 42(18), 1024–1025 (2006).
[CrossRef]

L. Lombard, A. Brignon, J. P. Huignard, E. Lallier, and P. Georges, “Beam cleanup in a self-aligned gradient-index Brillouin cavity for high-power multimode fiber amplifiers,” Opt. Lett. 31(2), 158–160 (2006).
[CrossRef] [PubMed]

2003

1999

A. Brignon, L. Loiseau, C. Lara, J. P. Huignard, and J. P. Pocholle, “Phase conjugation in a continuous-wave diode-pumped Nd:YVO4 laser,” Appl. Phys. B 69(2), 159–162 (1999).
[CrossRef]

Bellanger, C.

Brignon, A.

Colineau, J.

Fujimoto, J. G.

Georges, P.

Higgs, C.

C. X. Yu, J. E. Kansky, S. E. J. Shaw, D. V. Murphy, and C. Higgs, “Coherent beam combining of large number of PM fibres in 2-D fibre array,” Electron. Lett. 42(18), 1024–1025 (2006).
[CrossRef]

Huignard, J. P.

Kansky, J. E.

C. X. Yu, J. E. Kansky, S. E. J. Shaw, D. V. Murphy, and C. Higgs, “Coherent beam combining of large number of PM fibres in 2-D fibre array,” Electron. Lett. 42(18), 1024–1025 (2006).
[CrossRef]

Lallier, E.

Lara, C.

A. Brignon, L. Loiseau, C. Lara, J. P. Huignard, and J. P. Pocholle, “Phase conjugation in a continuous-wave diode-pumped Nd:YVO4 laser,” Appl. Phys. B 69(2), 159–162 (1999).
[CrossRef]

Loiseau, L.

A. Brignon, L. Loiseau, C. Lara, J. P. Huignard, and J. P. Pocholle, “Phase conjugation in a continuous-wave diode-pumped Nd:YVO4 laser,” Appl. Phys. B 69(2), 159–162 (1999).
[CrossRef]

Lombard, L.

Murphy, D. V.

C. X. Yu, J. E. Kansky, S. E. J. Shaw, D. V. Murphy, and C. Higgs, “Coherent beam combining of large number of PM fibres in 2-D fibre array,” Electron. Lett. 42(18), 1024–1025 (2006).
[CrossRef]

Pocholle, J. P.

A. Brignon, L. Loiseau, C. Lara, J. P. Huignard, and J. P. Pocholle, “Phase conjugation in a continuous-wave diode-pumped Nd:YVO4 laser,” Appl. Phys. B 69(2), 159–162 (1999).
[CrossRef]

Sennaroglu, A.

Shaw, S. E. J.

C. X. Yu, J. E. Kansky, S. E. J. Shaw, D. V. Murphy, and C. Higgs, “Coherent beam combining of large number of PM fibres in 2-D fibre array,” Electron. Lett. 42(18), 1024–1025 (2006).
[CrossRef]

Steinhausser, B.

Yu, C. X.

C. X. Yu, J. E. Kansky, S. E. J. Shaw, D. V. Murphy, and C. Higgs, “Coherent beam combining of large number of PM fibres in 2-D fibre array,” Electron. Lett. 42(18), 1024–1025 (2006).
[CrossRef]

Appl. Phys. B

A. Brignon, L. Loiseau, C. Lara, J. P. Huignard, and J. P. Pocholle, “Phase conjugation in a continuous-wave diode-pumped Nd:YVO4 laser,” Appl. Phys. B 69(2), 159–162 (1999).
[CrossRef]

Electron. Lett.

C. X. Yu, J. E. Kansky, S. E. J. Shaw, D. V. Murphy, and C. Higgs, “Coherent beam combining of large number of PM fibres in 2-D fibre array,” Electron. Lett. 42(18), 1024–1025 (2006).
[CrossRef]

Opt. Express

Opt. Lett.

Other

J. Anderegg, S. Brosnan, E. Cheung, P. Epp, D. Hammons, H. Komine, M. Weber, and A. M. Wickham, “Coherently Coupled High Power Fiber Arrays,” Proc. SPIE, 6102, (2006).

E. C. Cheung, M. Weber, and R. R. Rice, “Phase Locking of a Pulsed Fiber Amplifier,” in Advanced Solid-State Photonics, Technical Digest (Optical Society of America, 2008), paper WA2.

W. Joseph, Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, Englewood, 2005), Chap. 9.

I. Hartl, A. Marcinkevicius, H. A. McKay, L. Dong, and M. E. Fermann, “Coherent beam combination using multi-core leakage-channel fibers,” in Advanced Solid-State Photonics, Technical Digest (Optical Society of America, 2009), paper TuA6.

Supplementary Material (2)

» Media 1: AVI (2822 KB)     
» Media 2: AVI (3116 KB)     

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Figures (7)

Fig. 1
Fig. 1

Principle of wavefront correction by digital holography. SLM, spatial light modulator; BS, beamsplitter

Fig. 2
Fig. 2

Experimental setup. SLM, spatial light modulator; BS, beamsplitter; L, lens.

Fig. 3
Fig. 3

Influence of thermal heating of the fiber on phase conjugation (Media 1). (a) Modified output of the experimental setup. (b) Recorded hologram on CCD 1. (c) Interference pattern between the output beam and the reference beam on CCD 3.

Fig. 4
Fig. 4

Compensation of the phase error introduced by a 500 mm focal tilted lens. (a) Recorded hologram on CCD 1 without lens. (b) Corresponding output beam on CCD 2. (c) Output beam on CCD 2 after the insertion of the lens without changing the hologram. (d) New recorded hologram after the insertion of the lens. (e) Corresponding output beam on CCD 2.

Fig. 5
Fig. 5

Sensitivity to misalignment. (a) Recorded hologram on CCD 1 without plane plate. (b) Corresponding output beam on CCD 2. (c) Output beam on CCD 2 after the insertion of the plate without changing the hologram. (d) New recorded hologram after the insertion of the plate. (e) Corresponding output beam on CCD 2.

Fig. 6
Fig. 6

Application of a pressure to the fiber. (a) Recorded hologram on CCD 1 without pressure. (b) Corresponding output beam on CCD 2. (c) Output beam on CCD 2 with a pressure applied. (d) New recorded hologram after the application of the pressure. (e) Corresponding output beam on CCD 2.

Fig. 7
Fig. 7

Application of a pressure to the fiber in the pulsed regime, frame excerpts from Media 2. (a) Recorded hologram on CCD 1 without pressure. (b) Corresponding output beam on CCD 2. (c) Output beam on CCD 2 with a pressure applied. (d) New recorded hologram after the application of the pressure. (e) Corresponding output beam on CCD 2.

Equations (4)

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Einput(x,y)=nmcnmELPnm(x,y)
cnm=(Einput(x,y).ELPnm(x,y)*.dx.dy)2(Einput(x,y).dx.dy.)2(ELPnm(x,y).dx.dy.)2
O(x,y)=nmcnmELPnm(x,y).eiβnmL
Ereinjected=O(x,y)*=nmcnmE*LPnm(x,y).eiβnmL

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