Abstract

We investigate numerically and analytically the effects of gain saturation on the propagation of the fundamental mode in a gain-guided index-antiguided slab waveguide. The propagating mode adapts to gain saturation by becoming less confined, while at the same time its peak intensity increases more slowly. At steady state, both the mode shape and the power remain constant.

© 2009 Optical Society of America

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    [CrossRef]
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    [CrossRef] [PubMed]

2009 (1)

2007 (3)

2006 (2)

2005 (1)

2003 (1)

A. E. Siegman, J. Opt. Soc. Am. B 20, 1617 (2003).
[CrossRef]

1997 (1)

F. Caccavale, F. Segato, and I. Mansour, J. Lightwave Technol. 15, 2294 (1997).
[CrossRef]

1994 (1)

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

1980 (1)

1968 (1)

L. W. Casperson and A. Yariv, Appl. Phys. Lett. 12, 355 (1968).
[CrossRef]

1963 (1)

W. W. Rigrod, J. Appl. Phys. 34, 2602 (1963).
[CrossRef]

Ballato, J.

A. E. Siegman, Y. Chen, V. Sudesh, M. C. Richardson, M. Bass, P. Foy, W. Hawkins, and J. Ballato, Appl. Phys. Lett. 89, 251101 (2006).
[CrossRef]

Bass, M.

Y. Chen, T. McComb, V. Sudesh, M. Richardson, and M. Bass, Opt. Lett. 32, 2505 (2007).
[CrossRef] [PubMed]

A. E. Siegman, Y. Chen, V. Sudesh, M. C. Richardson, M. Bass, P. Foy, W. Hawkins, and J. Ballato, Appl. Phys. Lett. 89, 251101 (2006).
[CrossRef]

Berenger, J. P.

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

Broeng, J.

Bubnov, M. M.

Caccavale, F.

F. Caccavale, F. Segato, and I. Mansour, J. Lightwave Technol. 15, 2294 (1997).
[CrossRef]

Casperson, L. W.

L. W. Casperson, Appl. Opt. 19, 422 (1980).
[CrossRef] [PubMed]

L. W. Casperson and A. Yariv, Appl. Phys. Lett. 12, 355 (1968).
[CrossRef]

Chen, Y.

Y. Chen, T. McComb, V. Sudesh, M. Richardson, and M. Bass, Opt. Lett. 32, 2505 (2007).
[CrossRef] [PubMed]

A. E. Siegman, Y. Chen, V. Sudesh, M. C. Richardson, M. Bass, P. Foy, W. Hawkins, and J. Ballato, Appl. Phys. Lett. 89, 251101 (2006).
[CrossRef]

Deguil-Robin, N.

Dianov, E. M.

Dong, L.

Fevrier, S.

Foy, P.

A. E. Siegman, Y. Chen, V. Sudesh, M. C. Richardson, M. Bass, P. Foy, W. Hawkins, and J. Ballato, Appl. Phys. Lett. 89, 251101 (2006).
[CrossRef]

Gaponov, D. D.

Guryanov, A. N.

Hawkins, W.

A. E. Siegman, Y. Chen, V. Sudesh, M. C. Richardson, M. Bass, P. Foy, W. Hawkins, and J. Ballato, Appl. Phys. Lett. 89, 251101 (2006).
[CrossRef]

Jakobsen, C.

Khopin, V. E.

Li, J.

Liem, A.

Likhachev, M. E.

Limpert, J.

Lyngso, J. K.

Manek-Honninger, I.

Mansour, I.

F. Caccavale, F. Segato, and I. Mansour, J. Lightwave Technol. 15, 2294 (1997).
[CrossRef]

Maruyama, H.

McComb, T.

Nolte, S.

Olausson, C. B.

Peng, X.

Petersson, A.

Richardson, M.

Richardson, M. C.

A. E. Siegman, Y. Chen, V. Sudesh, M. C. Richardson, M. Bass, P. Foy, W. Hawkins, and J. Ballato, Appl. Phys. Lett. 89, 251101 (2006).
[CrossRef]

Rigrod, W. W.

W. W. Rigrod, J. Appl. Phys. 34, 2602 (1963).
[CrossRef]

Roser, F.

Roy, P.

Salganskii, M. Y.

Salin, F.

Schreiber, T.

Segato, F.

F. Caccavale, F. Segato, and I. Mansour, J. Lightwave Technol. 15, 2294 (1997).
[CrossRef]

Semjonov, S. L.

Shirakawa, A.

Siegman, A. E.

A. E. Siegman, J. Opt. Soc. Am. B 24, 1677 (2007).
[CrossRef]

A. E. Siegman, Y. Chen, V. Sudesh, M. C. Richardson, M. Bass, P. Foy, W. Hawkins, and J. Ballato, Appl. Phys. Lett. 89, 251101 (2006).
[CrossRef]

A. E. Siegman, J. Opt. Soc. Am. B 20, 1617 (2003).
[CrossRef]

Sudesh, V.

Y. Chen, T. McComb, V. Sudesh, M. Richardson, and M. Bass, Opt. Lett. 32, 2505 (2007).
[CrossRef] [PubMed]

A. E. Siegman, Y. Chen, V. Sudesh, M. C. Richardson, M. Bass, P. Foy, W. Hawkins, and J. Ballato, Appl. Phys. Lett. 89, 251101 (2006).
[CrossRef]

Tunnermann, A.

Ueda, K.

Yariv, A.

L. W. Casperson and A. Yariv, Appl. Phys. Lett. 12, 355 (1968).
[CrossRef]

Yashkov, M. Y.

Zellmer, H.

Appl. Opt. (1)

Appl. Phys. Lett. (2)

A. E. Siegman, Y. Chen, V. Sudesh, M. C. Richardson, M. Bass, P. Foy, W. Hawkins, and J. Ballato, Appl. Phys. Lett. 89, 251101 (2006).
[CrossRef]

L. W. Casperson and A. Yariv, Appl. Phys. Lett. 12, 355 (1968).
[CrossRef]

J. Appl. Phys. (1)

W. W. Rigrod, J. Appl. Phys. 34, 2602 (1963).
[CrossRef]

J. Comput. Phys. (1)

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

J. Lightwave Technol. (1)

F. Caccavale, F. Segato, and I. Mansour, J. Lightwave Technol. 15, 2294 (1997).
[CrossRef]

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

Opt. Express (3)

Opt. Lett. (1)

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Figures (3)

Fig. 1
Fig. 1

(a) Evolution of the electric field amplitude in a GG-IAG waveguide as described in the text. (b) Normalized field amplitudes and (c) the corresponding gain profiles at several distances along the waveguide.

Fig. 2
Fig. 2

Net-gain coefficient and modal parameter w r in the cladding as functions of propagation distance.

Fig. 3
Fig. 3

Normalized power as a function of propagation distance obtained from BPM simulation and from Eq. (6).

Equations (7)

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n ̃ ( x , z ) = { n 1 j n s s 1 + s I ( x , z ) ( | x | a ) n 2 ( | x | > a ) } ,
ψ ̃ ( x ) = { cos ( u ̃ x a ) ( | x | a ) cos ( u ̃ ) e w ̃ ( | x | a 1 ) ( | x | a ) } ,
g ( z ) = 1 I ( z ) d I ( z ) d z = g s s 1 + s I ( z ) α ,
1 g ( z ) d g d z g s s α g s s α .
w r a a β r β i Δ N k o a n 1 2 Δ N g m .
1 P c ( z ) d P c ( z ) d z = g s s a a f c ( x ) 1 + s P c ( z ) f c ( x ) d x α ,
P c , max = 2 a s [ ( g s s g th 1 4 ) g s s 2 g th + 1 16 ] .

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