Abstract

Self-focusing in a passive dielectric waveguide with a saturable nonlinearity is studied. The eigensolutions constitute a good approximation to the lateral modes of broad-area semiconductor lasers under low-duty-cycle pulsed conditions. The laser modes are predicted to consist of adjacent filaments coupled in phase, leading to a single-lobed far field, and to be stable with increased current injection above saturation intensity. The ultimate filament spacing is inversely proportional to the threshold gain, and thus wider filaments are expected in low-threshold broad-area lasers.

© 1987 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Larsson, M. Mittelstein, Y. Arakawa, A. Yariv, Electron. Lett. 22, (1986),
  2. M. Sakamoto, Y. Kato, Appl. Phys. Lett. 50, 869 (1987).
    [CrossRef]
  3. M. M. Leopold, R. G. Podgornik, R. A. Williams, Electron. Lett. 22, 1224 (1986).
    [CrossRef]
  4. G. H. B. Thompson, Optoelectronics 4, 257 (1972).
  5. A. Larsson, J. Salzman, M. Mittelstein, A. Yariv, J. Appl. Phys. 60, 66 (1986).
    [CrossRef]
  6. J. Salzman, A. Larsson, A. Yariv, Appl. Phys. Lett. 49, 611 (1986).
    [CrossRef]
  7. W. Streifer, E. Kapon, Appl. Opt. 18, 3724 (1979).
    [CrossRef] [PubMed]
  8. D. Mehuys, M. Mittelstein, R. J. Lang, J. Salzman, A. Yariv, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper TuK27.
  9. D. Mehuys, R. J. Lang, M. Mittelstein, J. Salzman, A. Yariv, “Self-stabilized nonlinear lateral modes of broad area lasers,” IEEE J. Quantum Electron. (to be published).
  10. G. R. Hadley, J. P. Hohimer, A. Owyoung, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper FD1.

1987 (1)

M. Sakamoto, Y. Kato, Appl. Phys. Lett. 50, 869 (1987).
[CrossRef]

1986 (4)

M. M. Leopold, R. G. Podgornik, R. A. Williams, Electron. Lett. 22, 1224 (1986).
[CrossRef]

A. Larsson, J. Salzman, M. Mittelstein, A. Yariv, J. Appl. Phys. 60, 66 (1986).
[CrossRef]

J. Salzman, A. Larsson, A. Yariv, Appl. Phys. Lett. 49, 611 (1986).
[CrossRef]

A. Larsson, M. Mittelstein, Y. Arakawa, A. Yariv, Electron. Lett. 22, (1986),

1979 (1)

1972 (1)

G. H. B. Thompson, Optoelectronics 4, 257 (1972).

Arakawa, Y.

A. Larsson, M. Mittelstein, Y. Arakawa, A. Yariv, Electron. Lett. 22, (1986),

Hadley, G. R.

G. R. Hadley, J. P. Hohimer, A. Owyoung, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper FD1.

Hohimer, J. P.

G. R. Hadley, J. P. Hohimer, A. Owyoung, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper FD1.

Kapon, E.

Kato, Y.

M. Sakamoto, Y. Kato, Appl. Phys. Lett. 50, 869 (1987).
[CrossRef]

Lang, R. J.

D. Mehuys, R. J. Lang, M. Mittelstein, J. Salzman, A. Yariv, “Self-stabilized nonlinear lateral modes of broad area lasers,” IEEE J. Quantum Electron. (to be published).

D. Mehuys, M. Mittelstein, R. J. Lang, J. Salzman, A. Yariv, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper TuK27.

Larsson, A.

A. Larsson, M. Mittelstein, Y. Arakawa, A. Yariv, Electron. Lett. 22, (1986),

A. Larsson, J. Salzman, M. Mittelstein, A. Yariv, J. Appl. Phys. 60, 66 (1986).
[CrossRef]

J. Salzman, A. Larsson, A. Yariv, Appl. Phys. Lett. 49, 611 (1986).
[CrossRef]

Leopold, M. M.

M. M. Leopold, R. G. Podgornik, R. A. Williams, Electron. Lett. 22, 1224 (1986).
[CrossRef]

Mehuys, D.

D. Mehuys, R. J. Lang, M. Mittelstein, J. Salzman, A. Yariv, “Self-stabilized nonlinear lateral modes of broad area lasers,” IEEE J. Quantum Electron. (to be published).

D. Mehuys, M. Mittelstein, R. J. Lang, J. Salzman, A. Yariv, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper TuK27.

Mittelstein, M.

A. Larsson, M. Mittelstein, Y. Arakawa, A. Yariv, Electron. Lett. 22, (1986),

A. Larsson, J. Salzman, M. Mittelstein, A. Yariv, J. Appl. Phys. 60, 66 (1986).
[CrossRef]

D. Mehuys, R. J. Lang, M. Mittelstein, J. Salzman, A. Yariv, “Self-stabilized nonlinear lateral modes of broad area lasers,” IEEE J. Quantum Electron. (to be published).

D. Mehuys, M. Mittelstein, R. J. Lang, J. Salzman, A. Yariv, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper TuK27.

Owyoung, A.

G. R. Hadley, J. P. Hohimer, A. Owyoung, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper FD1.

Podgornik, R. G.

M. M. Leopold, R. G. Podgornik, R. A. Williams, Electron. Lett. 22, 1224 (1986).
[CrossRef]

Sakamoto, M.

M. Sakamoto, Y. Kato, Appl. Phys. Lett. 50, 869 (1987).
[CrossRef]

Salzman, J.

A. Larsson, J. Salzman, M. Mittelstein, A. Yariv, J. Appl. Phys. 60, 66 (1986).
[CrossRef]

J. Salzman, A. Larsson, A. Yariv, Appl. Phys. Lett. 49, 611 (1986).
[CrossRef]

D. Mehuys, R. J. Lang, M. Mittelstein, J. Salzman, A. Yariv, “Self-stabilized nonlinear lateral modes of broad area lasers,” IEEE J. Quantum Electron. (to be published).

D. Mehuys, M. Mittelstein, R. J. Lang, J. Salzman, A. Yariv, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper TuK27.

Streifer, W.

Thompson, G. H. B.

G. H. B. Thompson, Optoelectronics 4, 257 (1972).

Williams, R. A.

M. M. Leopold, R. G. Podgornik, R. A. Williams, Electron. Lett. 22, 1224 (1986).
[CrossRef]

Yariv, A.

A. Larsson, M. Mittelstein, Y. Arakawa, A. Yariv, Electron. Lett. 22, (1986),

J. Salzman, A. Larsson, A. Yariv, Appl. Phys. Lett. 49, 611 (1986).
[CrossRef]

A. Larsson, J. Salzman, M. Mittelstein, A. Yariv, J. Appl. Phys. 60, 66 (1986).
[CrossRef]

D. Mehuys, R. J. Lang, M. Mittelstein, J. Salzman, A. Yariv, “Self-stabilized nonlinear lateral modes of broad area lasers,” IEEE J. Quantum Electron. (to be published).

D. Mehuys, M. Mittelstein, R. J. Lang, J. Salzman, A. Yariv, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper TuK27.

Appl. Opt. (1)

Appl. Phys. Lett. (2)

M. Sakamoto, Y. Kato, Appl. Phys. Lett. 50, 869 (1987).
[CrossRef]

J. Salzman, A. Larsson, A. Yariv, Appl. Phys. Lett. 49, 611 (1986).
[CrossRef]

Electron. Lett. (2)

M. M. Leopold, R. G. Podgornik, R. A. Williams, Electron. Lett. 22, 1224 (1986).
[CrossRef]

A. Larsson, M. Mittelstein, Y. Arakawa, A. Yariv, Electron. Lett. 22, (1986),

J. Appl. Phys. (1)

A. Larsson, J. Salzman, M. Mittelstein, A. Yariv, J. Appl. Phys. 60, 66 (1986).
[CrossRef]

Optoelectronics (1)

G. H. B. Thompson, Optoelectronics 4, 257 (1972).

Other (3)

D. Mehuys, M. Mittelstein, R. J. Lang, J. Salzman, A. Yariv, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper TuK27.

D. Mehuys, R. J. Lang, M. Mittelstein, J. Salzman, A. Yariv, “Self-stabilized nonlinear lateral modes of broad area lasers,” IEEE J. Quantum Electron. (to be published).

G. R. Hadley, J. P. Hohimer, A. Owyoung, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), paper FD1.

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 (1)

Fig. 1
Fig. 1

(a) The normalized eigenvalue detuning ( n 0 2 - η 2 ) / α as a function of current pumping parameter β for the single-filament solution (C = 0). The regions of C > 0 and C < 0 (hatched) are also indicated. (b) Representative solutions for the cases C < 0, C = 0, and C> 0 are shown. The curves e1–e3 correspond to the points P1–P3 in (a).

Equations (5)

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

n eff 2 = n 0 2 + sat ( 1 + i b ) | E | 2 E sat 2 J J th J sat 1 + | E | 2 E sat 2 ,
1 k 0 2 d 2 e d x 2 + [ n 0 2 + α ( e 2 - 1 ) 1 + β e 2 - η 2 ] e = 0 ,
( 1 k 0 d e d x ) 2 + ( n 0 2 - η 2 ) e 2 + sat e 2 [ 1 - ( 1 + β ) ln ( 1 + β e 2 ) β e 2 ] = C ,
C = 0 I n 0 2 ( I ) - n 1 2 ( I ) d I = ( n 0 2 - n 1 2 ) [ 1 + β α α + α ] ln ( 1 + β I ) 1 / β ,
Δ x sat = λ ( 2 n 0 k 0 b G th ) 1 / 2 ,

Metrics