Abstract

We propose a beam cleanup setup to convert a multimode beam into a single-mode beam by use of the Brillouin effect in a multimode gradient-index (GI) fiber. Phase conjugation and beam cleanup regimes in highly multimode fibers are discussed, and the self-aligned GI fiber Brillouin cavity is presented. We report a preliminary conversion from an M2=6.5 beam into an M2=1.3 beam with 31% efficiency.

© 2006 Optical Society of America

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References

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  1. L. Lombard, A. Brignon, J. P. Huignard, E. Lallier, G. Lucas Leclin, P. Georges, G. Pauliat, and G. Roosen, Opt. Lett. 29, 989 (2004).
    [CrossRef] [PubMed]
  2. H. J. Eichler, J. Kunde, and B. Liu, Opt. Commun. 139, 327 (1997).
    [CrossRef]
  3. R. G. Harrison, V. I. Kovalev, L. Weiping, and Y. Dejin, Opt. Commun. 163, 208 (1999).
    [CrossRef]
  4. C. Hanisch, A. Heuer, and R. Menzel, Appl. Phys. B: Lasers Opt. B73, 851 (2001).
  5. H. Bruesselbach, in Conference on Lasers and Electro-Optics, Vol. II of 1993 OSA Technical Digest Series (Optical Society of America, 1993).
  6. R. Boyd, Nonlinear Optics (Academic, 1992).
  7. R. W. Hellwarth, J. Opt. Soc. Am. 68, 1050 (1978).
    [CrossRef]

2004 (1)

2001 (1)

C. Hanisch, A. Heuer, and R. Menzel, Appl. Phys. B: Lasers Opt. B73, 851 (2001).

1999 (1)

R. G. Harrison, V. I. Kovalev, L. Weiping, and Y. Dejin, Opt. Commun. 163, 208 (1999).
[CrossRef]

1997 (1)

H. J. Eichler, J. Kunde, and B. Liu, Opt. Commun. 139, 327 (1997).
[CrossRef]

1978 (1)

Boyd, R.

R. Boyd, Nonlinear Optics (Academic, 1992).

Brignon, A.

Bruesselbach, H.

H. Bruesselbach, in Conference on Lasers and Electro-Optics, Vol. II of 1993 OSA Technical Digest Series (Optical Society of America, 1993).

Dejin, Y.

R. G. Harrison, V. I. Kovalev, L. Weiping, and Y. Dejin, Opt. Commun. 163, 208 (1999).
[CrossRef]

Eichler, H. J.

H. J. Eichler, J. Kunde, and B. Liu, Opt. Commun. 139, 327 (1997).
[CrossRef]

Georges, P.

Hanisch, C.

C. Hanisch, A. Heuer, and R. Menzel, Appl. Phys. B: Lasers Opt. B73, 851 (2001).

Harrison, R. G.

R. G. Harrison, V. I. Kovalev, L. Weiping, and Y. Dejin, Opt. Commun. 163, 208 (1999).
[CrossRef]

Hellwarth, R. W.

Heuer, A.

C. Hanisch, A. Heuer, and R. Menzel, Appl. Phys. B: Lasers Opt. B73, 851 (2001).

Huignard, J. P.

Kovalev, V. I.

R. G. Harrison, V. I. Kovalev, L. Weiping, and Y. Dejin, Opt. Commun. 163, 208 (1999).
[CrossRef]

Kunde, J.

H. J. Eichler, J. Kunde, and B. Liu, Opt. Commun. 139, 327 (1997).
[CrossRef]

Lallier, E.

Leclin, G. Lucas

Liu, B.

H. J. Eichler, J. Kunde, and B. Liu, Opt. Commun. 139, 327 (1997).
[CrossRef]

Lombard, L.

Menzel, R.

C. Hanisch, A. Heuer, and R. Menzel, Appl. Phys. B: Lasers Opt. B73, 851 (2001).

Pauliat, G.

Roosen, G.

Weiping, L.

R. G. Harrison, V. I. Kovalev, L. Weiping, and Y. Dejin, Opt. Commun. 163, 208 (1999).
[CrossRef]

Appl. Phys. B: Lasers Opt. (1)

C. Hanisch, A. Heuer, and R. Menzel, Appl. Phys. B: Lasers Opt. B73, 851 (2001).

J. Opt. Soc. Am. (1)

Opt. Commun. (2)

H. J. Eichler, J. Kunde, and B. Liu, Opt. Commun. 139, 327 (1997).
[CrossRef]

R. G. Harrison, V. I. Kovalev, L. Weiping, and Y. Dejin, Opt. Commun. 163, 208 (1999).
[CrossRef]

Opt. Lett. (1)

Other (2)

H. Bruesselbach, in Conference on Lasers and Electro-Optics, Vol. II of 1993 OSA Technical Digest Series (Optical Society of America, 1993).

R. Boyd, Nonlinear Optics (Academic, 1992).

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Figures (6)

Fig. 1
Fig. 1

Linear gain for each Stokes fiber mode sorted by propagation constants (lower-order modes at the left). The calculation is done for uniform excitation of the pump modes and for two fiber geometries: a SI fiber (normalized frequency V = 35 ) and a GI fiber ( V = 52 ) .

Fig. 2
Fig. 2

Experimental setup.

Fig. 3
Fig. 3

Beam shapes: (a) incident pump beam; (b) reflected Stokes beam ( LP 11 mode).

Fig. 4
Fig. 4

Self-aligned Brillouin cavity for beam cleanup. FR, Faraday rotator; P 1 , P 2 , polarizing beam splitters.

Fig. 5
Fig. 5

Power threshold decrease in a closed Brillouin cavity relative to the open Brillouin cavity as a function of the coupling coefficient r for cw and Qcw operation.

Fig. 6
Fig. 6

(a) Pump beam shape emitted by the multimode fiber amplifier and (b) Stokes beam shapes in the far field.

Equations (7)

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P NL = 3 2 ϵ 0 χ ( 3 ) E p E p * E s ( x , y , z , t ) ,
E s , p ( x , y , z , t ) = i = 1 N c i s , p ( z , t ) ψ i ( x , y ) exp [ i ( ± β i s , p z ω s , p t ) ] ,
d c n s ( z ) d z = α g B i , j , m R i j m n c i p c j * p c m s ( z ) exp ( i Δ β i j m n z ) ,
R i j m n = ψ i ψ j * ψ m ψ n * ( x , y ) d x d y ,
Δ β i j m n = β i p β j p β m s + β n s .
d P n s d z = ( 2 g B i R i n P i p g B R n n P n p ) P n s ,
d P n s d z = ( g B i R i n P i p ) P n s .

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