Abstract

Finite-element calculations of the Brillouin gain spectrum in photonic crystal fibers (PCFs) with cores incorporating random arrangements of regions with discrete acoustic velocities are presented. The peak Brillouin gain coefficient for PCFs with cores with an acoustic domain size of 0.26μm2 and an acoustic velocity variation of 3% was calculated to be 3.3×1012mW with a Brillouin gain spectrum FWHM of 280MHz. This corresponds to a decrease in the peak Brillouin gain coefficient of 7.4dB relative to a PCF with an acoustically homogeneous core.

© 2009 Optical Society of America

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2009

2008

J. E. Rothenberg, P. A. Thielen, M. Wickham, and C. P. Asman, Proc. SPIE 6873, 68730O-1 (2008).

M. D. Mermelstein, M. J. Andrejco, J. Fini, A. Yablon, C. Headley, and D. J. DiGiovanni, Proc. SPIE 6873, 68730N (2008).
[CrossRef]

2007

2006

2005

V. Laude, A. Khelif, S. Benchabane, M. Wilm,T. Sylvestre, B. Kibler, A. Mussot,J. M. Dudley, and H. Maillotte, Phys. Rev. B 71, 045107 (2005).
[CrossRef]

2000

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).

Andrejco, M. J.

M. D. Mermelstein, M. J. Andrejco, J. Fini, A. Yablon, C. Headley, and D. J. DiGiovanni, Proc. SPIE 6873, 68730N (2008).
[CrossRef]

Asman, C. P.

J. E. Rothenberg, P. A. Thielen, M. Wickham, and C. P. Asman, Proc. SPIE 6873, 68730O-1 (2008).

Benchabane, S.

V. Laude, A. Khelif, S. Benchabane, M. Wilm,T. Sylvestre, B. Kibler, A. Mussot,J. M. Dudley, and H. Maillotte, Phys. Rev. B 71, 045107 (2005).
[CrossRef]

Broderick, N.

Chen, X.

Crowley, A. M.

Demeritt, J. A.

DiGiovanni, D. J.

M. D. Mermelstein, M. J. Andrejco, J. Fini, A. Yablon, C. Headley, and D. J. DiGiovanni, Proc. SPIE 6873, 68730N (2008).
[CrossRef]

Dragic, P. D.

P. D. Dragic, C. Liu, G. C. Papen, and A. Galvanauskas, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2005), paper CThZ3.

Dudley, J. M.

V. Laude, A. Khelif, S. Benchabane, M. Wilm,T. Sylvestre, B. Kibler, A. Mussot,J. M. Dudley, and H. Maillotte, Phys. Rev. B 71, 045107 (2005).
[CrossRef]

Fini, J.

M. D. Mermelstein, M. J. Andrejco, J. Fini, A. Yablon, C. Headley, and D. J. DiGiovanni, Proc. SPIE 6873, 68730N (2008).
[CrossRef]

Frede, M.

Furusawa, K.

Galvanauskas, A.

P. D. Dragic, C. Liu, G. C. Papen, and A. Galvanauskas, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2005), paper CThZ3.

Goldberg, L.

Gray, S.

Harrison, R. G.

Headley, C.

M. D. Mermelstein, M. J. Andrejco, J. Fini, A. Yablon, C. Headley, and D. J. DiGiovanni, Proc. SPIE 6873, 68730N (2008).
[CrossRef]

Hildebrandt, M.

Khelif, A.

V. Laude, A. Khelif, S. Benchabane, M. Wilm,T. Sylvestre, B. Kibler, A. Mussot,J. M. Dudley, and H. Maillotte, Phys. Rev. B 71, 045107 (2005).
[CrossRef]

Kibler, B.

V. Laude, A. Khelif, S. Benchabane, M. Wilm,T. Sylvestre, B. Kibler, A. Mussot,J. M. Dudley, and H. Maillotte, Phys. Rev. B 71, 045107 (2005).
[CrossRef]

Kirchhof, J.

J. Kobelke, K. Schuster, S. Unger, V. Reichel, A. Schwuchow, K. Morl, J. Kirchhof, and M. Leich, Proc. SPIE 6453, 64531T (2007).
[CrossRef]

Kliner, D. A. V.

Kobelke, J.

J. Kobelke, K. Schuster, S. Unger, V. Reichel, A. Schwuchow, K. Morl, J. Kirchhof, and M. Leich, Proc. SPIE 6453, 64531T (2007).
[CrossRef]

Koplow, J. P.

Kovalev, V. I.

Kracht, D.

Kwee, P.

Laude, V.

V. Laude, A. Khelif, S. Benchabane, M. Wilm,T. Sylvestre, B. Kibler, A. Mussot,J. M. Dudley, and H. Maillotte, Phys. Rev. B 71, 045107 (2005).
[CrossRef]

Leich, M.

J. Kobelke, K. Schuster, S. Unger, V. Reichel, A. Schwuchow, K. Morl, J. Kirchhof, and M. Leich, Proc. SPIE 6453, 64531T (2007).
[CrossRef]

Li, J. J.

Liu, A.

Liu, C.

P. D. Dragic, C. Liu, G. C. Papen, and A. Galvanauskas, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2005), paper CThZ3.

Maillotte, H.

V. Laude, A. Khelif, S. Benchabane, M. Wilm,T. Sylvestre, B. Kibler, A. Mussot,J. M. Dudley, and H. Maillotte, Phys. Rev. B 71, 045107 (2005).
[CrossRef]

Mermelstein, M. D.

M. D. Mermelstein, M. J. Andrejco, J. Fini, A. Yablon, C. Headley, and D. J. DiGiovanni, Proc. SPIE 6873, 68730N (2008).
[CrossRef]

Morl, K.

J. Kobelke, K. Schuster, S. Unger, V. Reichel, A. Schwuchow, K. Morl, J. Kirchhof, and M. Leich, Proc. SPIE 6453, 64531T (2007).
[CrossRef]

Mussot, A.

V. Laude, A. Khelif, S. Benchabane, M. Wilm,T. Sylvestre, B. Kibler, A. Mussot,J. M. Dudley, and H. Maillotte, Phys. Rev. B 71, 045107 (2005).
[CrossRef]

Papen, G. C.

P. D. Dragic, C. Liu, G. C. Papen, and A. Galvanauskas, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2005), paper CThZ3.

Poletti, F.

Reichel, V.

J. Kobelke, K. Schuster, S. Unger, V. Reichel, A. Schwuchow, K. Morl, J. Kirchhof, and M. Leich, Proc. SPIE 6453, 64531T (2007).
[CrossRef]

Richardson, D.

Rothenberg, J. E.

J. E. Rothenberg, P. A. Thielen, M. Wickham, and C. P. Asman, Proc. SPIE 6873, 68730O-1 (2008).

Ruffin, A. B.

Schuster, K.

J. Kobelke, K. Schuster, S. Unger, V. Reichel, A. Schwuchow, K. Morl, J. Kirchhof, and M. Leich, Proc. SPIE 6453, 64531T (2007).
[CrossRef]

Schwuchow, A.

J. Kobelke, K. Schuster, S. Unger, V. Reichel, A. Schwuchow, K. Morl, J. Kirchhof, and M. Leich, Proc. SPIE 6453, 64531T (2007).
[CrossRef]

Spring, J.

Sylvestre, T.

V. Laude, A. Khelif, S. Benchabane, M. Wilm,T. Sylvestre, B. Kibler, A. Mussot,J. M. Dudley, and H. Maillotte, Phys. Rev. B 71, 045107 (2005).
[CrossRef]

Thielen, P. A.

J. E. Rothenberg, P. A. Thielen, M. Wickham, and C. P. Asman, Proc. SPIE 6873, 68730O-1 (2008).

Unger, S.

J. Kobelke, K. Schuster, S. Unger, V. Reichel, A. Schwuchow, K. Morl, J. Kirchhof, and M. Leich, Proc. SPIE 6453, 64531T (2007).
[CrossRef]

Walton, D. T.

Wang, J.

Ward, B.

Wickham, M.

J. E. Rothenberg, P. A. Thielen, M. Wickham, and C. P. Asman, Proc. SPIE 6873, 68730O-1 (2008).

Willke, B.

Wilm, M.

V. Laude, A. Khelif, S. Benchabane, M. Wilm,T. Sylvestre, B. Kibler, A. Mussot,J. M. Dudley, and H. Maillotte, Phys. Rev. B 71, 045107 (2005).
[CrossRef]

Yablon, A.

M. D. Mermelstein, M. J. Andrejco, J. Fini, A. Yablon, C. Headley, and D. J. DiGiovanni, Proc. SPIE 6873, 68730N (2008).
[CrossRef]

Yusoff, Z.

Zenteno, L. A.

J. Opt. Soc. Am. B

Opt. Express

Opt. Lett.

Phys. Rev. B

V. Laude, A. Khelif, S. Benchabane, M. Wilm,T. Sylvestre, B. Kibler, A. Mussot,J. M. Dudley, and H. Maillotte, Phys. Rev. B 71, 045107 (2005).
[CrossRef]

Proc. SPIE

M. D. Mermelstein, M. J. Andrejco, J. Fini, A. Yablon, C. Headley, and D. J. DiGiovanni, Proc. SPIE 6873, 68730N (2008).
[CrossRef]

J. E. Rothenberg, P. A. Thielen, M. Wickham, and C. P. Asman, Proc. SPIE 6873, 68730O-1 (2008).

J. Kobelke, K. Schuster, S. Unger, V. Reichel, A. Schwuchow, K. Morl, J. Kirchhof, and M. Leich, Proc. SPIE 6453, 64531T (2007).
[CrossRef]

Other

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).

P. D. Dragic, C. Liu, G. C. Papen, and A. Galvanauskas, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2005), paper CThZ3.

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Figures (2)

Fig. 1
Fig. 1

Brillouin gain spectra for (a) control fiber and (b), (c) fibers with random acoustically microstructured cores. The control fiber has insets showing the optical index across the fiber and a log plot of the fundamental mode. The latter plots have insets highlighting the random distribution of acoustic domains across the hexagonal core.

Fig. 2
Fig. 2

Modeled Brillouin gain spectra data, where each point represents the average from five different random acoustically microstructured cores: (a) peak g B and spectral width, (b) comparison of Brillouin offset obtained directly from model’s solution of wave equation to the offset from the mean acoustic index.

Equations (9)

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0 < x α 0.25 , n ac = 0.99
0.25 < x α 0.50 , n ac = 1.00
0.50 < x α 0.75 , n ac = 1.01
0.75 < x α 1.0 , n ac = 1.02 ,
p ( x ) = 1 , α = 1
p ( x ) = 1 2 x 1 2 , α = 2
p ( x ) = 1 3 x 2 3 , α = 3
p ( x ) = 1 4 x 3 4 , α = 4 ,
v B = 2 n e V l , bulk n ac λ ,

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