Abstract

Experimental results on 1D and 2D phase-locking of laser diode arrays are presented. Attention is paid to the employment of the arrays consisting of wide aperture lasers diodes. Selection of the “in-phase” supermode, preferable for most of the cases, is attained in the external quarter Talbot (Lc=ZT/4=d2/2λ) cavity due to the output mirror tilt at the angle φm=λ/2d. Analysis of the parameters that influence on the phase-locking is given. Our experiments confirm theoretical predictions of the system stability and adequate selectivity for the laser diode array fill factor (FF) FF=0.6.

© 1999 Optical Society of America

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  1. J. K. Butler, D.E. Ackley, and D. Botez, “Coupled-mode analysis of phase-locked injection laser arrays,” Appl. Phys. Lett. 44, 293 (1983).
    [CrossRef]
  2. D. Botez, “Array-mode far-field patterns for phase-locked diode laser arrays: coupled mode theory versus simple diffraction theory,” IEEE Journal of Quantum Electron. 21, N.11, 1752 (1985).
    [CrossRef]
  3. A. A. Golubentsev, V. V. Likhanskii, and A. P. Napartovich, “Theory of phase synchronization of laser sets,” Sov. Phys. JETP 66, 676 (1987).
  4. D. E. Ackley, “Single longitudinal mode operation of high power multiple-stripe injection lasers,” Appl. Phys. Lett. 42, 152 (1983).
    [CrossRef]
  5. D. Botez and J. C. Connolly, “High-power phase-locked arrays of index-guided diode lasers,” Appl. Phys. Lett. 43, 1096 (1983).
    [CrossRef]
  6. D.R. Scifres, R. A. Sprague, W. Streifer, and R. D. Burnham, “Focusing of a 7700-A high power phased array semiconductor laser,” Appl. Phys. Lett. 41, 1121 (1982).
    [CrossRef]
  7. J. Yaeli, W. Streifer, D. R. Scifres, P.S. Cross, R. L. Thornton, and R. D. Burnham, “Array mode selection utilizing an external cavity configuration,” Appl. Phys. Lett. 47, 89 (1985).
    [CrossRef]
  8. J. R. Leger, “Lateral mode control of an AlGaAs laser array in a Talbot cavity,” Appl. Phys. Lett.,  55, 334 (1989).
    [CrossRef]
  9. F. X. D’Amato, E. T. Siebert, and C. Rouchoudhri, “Coherent operation of an array of diode lasers using a spatial filter in a Talbot cavity,” Appl. Phys. Lett. 55, 816 (1988).
    [CrossRef]
  10. J. R. Leger, M. L. Scott, and W. B. Veldkamp, “Coherent addition of AlGaAs lasers using microlenses and diffractive coupling,” Appl. Phys. Lett. 52, 1771 (1988).
    [CrossRef]
  11. R. Waarts, D. Mehuys, D. Nam, D. Welch, W. Streifer, and D. Scifres, “High-power, cw, diffraction limited, AlGaAs laser diode array in an external Talbot cavity,” Appl. Phys. Lett. 58, 2586 (1991).
    [CrossRef]
  12. D. Mehuys, W. Streifer, R. Waarts, and D. Welch, “Modal analysis of linear Talbot-cavity semiconductor lasers,” Opt. Lett. 16, 823 (1991).
    [CrossRef] [PubMed]
  13. V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Investigation of linear and two-dimensional arrays of semiconductor laser diodes in an external cavity,” Quantum Electron. 27, 850 (1997). (Translated from Russian Kvantovaya Electronica).
    [CrossRef]
  14. V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Spatial phase-locking of linear arrays of 4 and 12 wide aperture semiconductor laser diodes in an external cavity,” Quantum Electron. 28, 257 (1998). (Translated from Russian Kvantovaya Electronica).
    [CrossRef]
  15. V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Phase-locking of eight wide-aperture semiconductor laser diodes in one-dimensional and two-dimensional configurations in an external Talbot cavity,” Quantum Electron. 28, 344 (1998). (Translated from Russian Kvantovaya Electronica).
    [CrossRef]
  16. A. F. Glova, N. N. Elkin, A. Yu. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. (in Russian)  23, 630 (1996).
  17. O. R. Kachurin, F. V. Lebedev, M. A. Napartovich, and M. E. Khlynov, “Control of the phased laser array radiation pattern,” Quantum Electron. (in Russian)  18, 387 (1991).
  18. I. M. Beldyugin, M. V. Zolotarev, and I. V. Shinkareva, “An effect of noise and spread of resonant frequencies on phase-locking of optically coupled lasers,” Quantum Electron. (in Russian)  18, 1493 (1991).
  19. J. W. Cassarly, J. C. Ehlert, J. M. Finlan, K. M. Flood, R. Waarts, D. Mehuys, D. Nam, and D. Welch, “Intracavity phase correction of an external Talbot cavity laser with the use of liquid crystals,” Opt. Lett. 17, 607 (1992).
    [CrossRef] [PubMed]
  20. S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
    [CrossRef]
  21. V. V. Apollonov, V. I. Kislov, and A. M. Prokhorov, “Phase-locking of a semiconductor diode array in an external cavity,” Quantum Electron. (in Russian)  23, 1081 (1996).

1998 (2)

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Spatial phase-locking of linear arrays of 4 and 12 wide aperture semiconductor laser diodes in an external cavity,” Quantum Electron. 28, 257 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Phase-locking of eight wide-aperture semiconductor laser diodes in one-dimensional and two-dimensional configurations in an external Talbot cavity,” Quantum Electron. 28, 344 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

1997 (1)

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Investigation of linear and two-dimensional arrays of semiconductor laser diodes in an external cavity,” Quantum Electron. 27, 850 (1997). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

1996 (2)

A. F. Glova, N. N. Elkin, A. Yu. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. (in Russian)  23, 630 (1996).

V. V. Apollonov, V. I. Kislov, and A. M. Prokhorov, “Phase-locking of a semiconductor diode array in an external cavity,” Quantum Electron. (in Russian)  23, 1081 (1996).

1994 (1)

S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
[CrossRef]

1992 (1)

1991 (4)

O. R. Kachurin, F. V. Lebedev, M. A. Napartovich, and M. E. Khlynov, “Control of the phased laser array radiation pattern,” Quantum Electron. (in Russian)  18, 387 (1991).

I. M. Beldyugin, M. V. Zolotarev, and I. V. Shinkareva, “An effect of noise and spread of resonant frequencies on phase-locking of optically coupled lasers,” Quantum Electron. (in Russian)  18, 1493 (1991).

R. Waarts, D. Mehuys, D. Nam, D. Welch, W. Streifer, and D. Scifres, “High-power, cw, diffraction limited, AlGaAs laser diode array in an external Talbot cavity,” Appl. Phys. Lett. 58, 2586 (1991).
[CrossRef]

D. Mehuys, W. Streifer, R. Waarts, and D. Welch, “Modal analysis of linear Talbot-cavity semiconductor lasers,” Opt. Lett. 16, 823 (1991).
[CrossRef] [PubMed]

1989 (1)

J. R. Leger, “Lateral mode control of an AlGaAs laser array in a Talbot cavity,” Appl. Phys. Lett.,  55, 334 (1989).
[CrossRef]

1988 (2)

F. X. D’Amato, E. T. Siebert, and C. Rouchoudhri, “Coherent operation of an array of diode lasers using a spatial filter in a Talbot cavity,” Appl. Phys. Lett. 55, 816 (1988).
[CrossRef]

J. R. Leger, M. L. Scott, and W. B. Veldkamp, “Coherent addition of AlGaAs lasers using microlenses and diffractive coupling,” Appl. Phys. Lett. 52, 1771 (1988).
[CrossRef]

1987 (1)

A. A. Golubentsev, V. V. Likhanskii, and A. P. Napartovich, “Theory of phase synchronization of laser sets,” Sov. Phys. JETP 66, 676 (1987).

1985 (2)

D. Botez, “Array-mode far-field patterns for phase-locked diode laser arrays: coupled mode theory versus simple diffraction theory,” IEEE Journal of Quantum Electron. 21, N.11, 1752 (1985).
[CrossRef]

J. Yaeli, W. Streifer, D. R. Scifres, P.S. Cross, R. L. Thornton, and R. D. Burnham, “Array mode selection utilizing an external cavity configuration,” Appl. Phys. Lett. 47, 89 (1985).
[CrossRef]

1983 (3)

J. K. Butler, D.E. Ackley, and D. Botez, “Coupled-mode analysis of phase-locked injection laser arrays,” Appl. Phys. Lett. 44, 293 (1983).
[CrossRef]

D. E. Ackley, “Single longitudinal mode operation of high power multiple-stripe injection lasers,” Appl. Phys. Lett. 42, 152 (1983).
[CrossRef]

D. Botez and J. C. Connolly, “High-power phase-locked arrays of index-guided diode lasers,” Appl. Phys. Lett. 43, 1096 (1983).
[CrossRef]

1982 (1)

D.R. Scifres, R. A. Sprague, W. Streifer, and R. D. Burnham, “Focusing of a 7700-A high power phased array semiconductor laser,” Appl. Phys. Lett. 41, 1121 (1982).
[CrossRef]

Ackley, D. E.

D. E. Ackley, “Single longitudinal mode operation of high power multiple-stripe injection lasers,” Appl. Phys. Lett. 42, 152 (1983).
[CrossRef]

Ackley, D.E.

J. K. Butler, D.E. Ackley, and D. Botez, “Coupled-mode analysis of phase-locked injection laser arrays,” Appl. Phys. Lett. 44, 293 (1983).
[CrossRef]

Apollonov, V. V.

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Spatial phase-locking of linear arrays of 4 and 12 wide aperture semiconductor laser diodes in an external cavity,” Quantum Electron. 28, 257 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Phase-locking of eight wide-aperture semiconductor laser diodes in one-dimensional and two-dimensional configurations in an external Talbot cavity,” Quantum Electron. 28, 344 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Investigation of linear and two-dimensional arrays of semiconductor laser diodes in an external cavity,” Quantum Electron. 27, 850 (1997). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, V. I. Kislov, and A. M. Prokhorov, “Phase-locking of a semiconductor diode array in an external cavity,” Quantum Electron. (in Russian)  23, 1081 (1996).

Beldyugin, I. M.

I. M. Beldyugin, M. V. Zolotarev, and I. V. Shinkareva, “An effect of noise and spread of resonant frequencies on phase-locking of optically coupled lasers,” Quantum Electron. (in Russian)  18, 1493 (1991).

Botez, D.

D. Botez, “Array-mode far-field patterns for phase-locked diode laser arrays: coupled mode theory versus simple diffraction theory,” IEEE Journal of Quantum Electron. 21, N.11, 1752 (1985).
[CrossRef]

D. Botez and J. C. Connolly, “High-power phase-locked arrays of index-guided diode lasers,” Appl. Phys. Lett. 43, 1096 (1983).
[CrossRef]

J. K. Butler, D.E. Ackley, and D. Botez, “Coupled-mode analysis of phase-locked injection laser arrays,” Appl. Phys. Lett. 44, 293 (1983).
[CrossRef]

Burnham, R. D.

J. Yaeli, W. Streifer, D. R. Scifres, P.S. Cross, R. L. Thornton, and R. D. Burnham, “Array mode selection utilizing an external cavity configuration,” Appl. Phys. Lett. 47, 89 (1985).
[CrossRef]

D.R. Scifres, R. A. Sprague, W. Streifer, and R. D. Burnham, “Focusing of a 7700-A high power phased array semiconductor laser,” Appl. Phys. Lett. 41, 1121 (1982).
[CrossRef]

Butler, J. K.

J. K. Butler, D.E. Ackley, and D. Botez, “Coupled-mode analysis of phase-locked injection laser arrays,” Appl. Phys. Lett. 44, 293 (1983).
[CrossRef]

Cassarly, J. W.

Cassarly, W.

S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
[CrossRef]

Connolly, J. C.

D. Botez and J. C. Connolly, “High-power phase-locked arrays of index-guided diode lasers,” Appl. Phys. Lett. 43, 1096 (1983).
[CrossRef]

Cross, P.S.

J. Yaeli, W. Streifer, D. R. Scifres, P.S. Cross, R. L. Thornton, and R. D. Burnham, “Array mode selection utilizing an external cavity configuration,” Appl. Phys. Lett. 47, 89 (1985).
[CrossRef]

D’Amato, F. X.

F. X. D’Amato, E. T. Siebert, and C. Rouchoudhri, “Coherent operation of an array of diode lasers using a spatial filter in a Talbot cavity,” Appl. Phys. Lett. 55, 816 (1988).
[CrossRef]

Derzhavin, S. I.

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Phase-locking of eight wide-aperture semiconductor laser diodes in one-dimensional and two-dimensional configurations in an external Talbot cavity,” Quantum Electron. 28, 344 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Spatial phase-locking of linear arrays of 4 and 12 wide aperture semiconductor laser diodes in an external cavity,” Quantum Electron. 28, 257 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Investigation of linear and two-dimensional arrays of semiconductor laser diodes in an external cavity,” Quantum Electron. 27, 850 (1997). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

Ehlert, J.

S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
[CrossRef]

Ehlert, J. C.

Elkin, N. N.

A. F. Glova, N. N. Elkin, A. Yu. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. (in Russian)  23, 630 (1996).

Finlan, J.

S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
[CrossRef]

Finlan, J. M.

Flood, K.

S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
[CrossRef]

Flood, K. M.

Glova, A. F.

A. F. Glova, N. N. Elkin, A. Yu. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. (in Russian)  23, 630 (1996).

Golubentsev, A. A.

A. A. Golubentsev, V. V. Likhanskii, and A. P. Napartovich, “Theory of phase synchronization of laser sets,” Sov. Phys. JETP 66, 676 (1987).

Kachurin, O. R.

O. R. Kachurin, F. V. Lebedev, M. A. Napartovich, and M. E. Khlynov, “Control of the phased laser array radiation pattern,” Quantum Electron. (in Russian)  18, 387 (1991).

Kazakov, A. A.

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Phase-locking of eight wide-aperture semiconductor laser diodes in one-dimensional and two-dimensional configurations in an external Talbot cavity,” Quantum Electron. 28, 344 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Spatial phase-locking of linear arrays of 4 and 12 wide aperture semiconductor laser diodes in an external cavity,” Quantum Electron. 28, 257 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Investigation of linear and two-dimensional arrays of semiconductor laser diodes in an external cavity,” Quantum Electron. 27, 850 (1997). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

Khlynov, M. E.

O. R. Kachurin, F. V. Lebedev, M. A. Napartovich, and M. E. Khlynov, “Control of the phased laser array radiation pattern,” Quantum Electron. (in Russian)  18, 387 (1991).

Kislov, V. I.

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Spatial phase-locking of linear arrays of 4 and 12 wide aperture semiconductor laser diodes in an external cavity,” Quantum Electron. 28, 257 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Phase-locking of eight wide-aperture semiconductor laser diodes in one-dimensional and two-dimensional configurations in an external Talbot cavity,” Quantum Electron. 28, 344 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Investigation of linear and two-dimensional arrays of semiconductor laser diodes in an external cavity,” Quantum Electron. 27, 850 (1997). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, V. I. Kislov, and A. M. Prokhorov, “Phase-locking of a semiconductor diode array in an external cavity,” Quantum Electron. (in Russian)  23, 1081 (1996).

Koval, Yu. P.

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Phase-locking of eight wide-aperture semiconductor laser diodes in one-dimensional and two-dimensional configurations in an external Talbot cavity,” Quantum Electron. 28, 344 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Spatial phase-locking of linear arrays of 4 and 12 wide aperture semiconductor laser diodes in an external cavity,” Quantum Electron. 28, 257 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Investigation of linear and two-dimensional arrays of semiconductor laser diodes in an external cavity,” Quantum Electron. 27, 850 (1997). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

Kuzminov, V. V.

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Spatial phase-locking of linear arrays of 4 and 12 wide aperture semiconductor laser diodes in an external cavity,” Quantum Electron. 28, 257 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Phase-locking of eight wide-aperture semiconductor laser diodes in one-dimensional and two-dimensional configurations in an external Talbot cavity,” Quantum Electron. 28, 344 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Investigation of linear and two-dimensional arrays of semiconductor laser diodes in an external cavity,” Quantum Electron. 27, 850 (1997). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

Lebedev, F. V.

O. R. Kachurin, F. V. Lebedev, M. A. Napartovich, and M. E. Khlynov, “Control of the phased laser array radiation pattern,” Quantum Electron. (in Russian)  18, 387 (1991).

Leger, J. R.

J. R. Leger, “Lateral mode control of an AlGaAs laser array in a Talbot cavity,” Appl. Phys. Lett.,  55, 334 (1989).
[CrossRef]

J. R. Leger, M. L. Scott, and W. B. Veldkamp, “Coherent addition of AlGaAs lasers using microlenses and diffractive coupling,” Appl. Phys. Lett. 52, 1771 (1988).
[CrossRef]

Likhanskii, V. V.

A. A. Golubentsev, V. V. Likhanskii, and A. P. Napartovich, “Theory of phase synchronization of laser sets,” Sov. Phys. JETP 66, 676 (1987).

Lysikov, A. Yu.

A. F. Glova, N. N. Elkin, A. Yu. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. (in Russian)  23, 630 (1996).

Mashkovsky, D. A.

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Spatial phase-locking of linear arrays of 4 and 12 wide aperture semiconductor laser diodes in an external cavity,” Quantum Electron. 28, 257 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Phase-locking of eight wide-aperture semiconductor laser diodes in one-dimensional and two-dimensional configurations in an external Talbot cavity,” Quantum Electron. 28, 344 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Investigation of linear and two-dimensional arrays of semiconductor laser diodes in an external cavity,” Quantum Electron. 27, 850 (1997). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

Mehuys, D.

Nam, D.

S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
[CrossRef]

J. W. Cassarly, J. C. Ehlert, J. M. Finlan, K. M. Flood, R. Waarts, D. Mehuys, D. Nam, and D. Welch, “Intracavity phase correction of an external Talbot cavity laser with the use of liquid crystals,” Opt. Lett. 17, 607 (1992).
[CrossRef] [PubMed]

R. Waarts, D. Mehuys, D. Nam, D. Welch, W. Streifer, and D. Scifres, “High-power, cw, diffraction limited, AlGaAs laser diode array in an external Talbot cavity,” Appl. Phys. Lett. 58, 2586 (1991).
[CrossRef]

Napartovich, A. P.

A. F. Glova, N. N. Elkin, A. Yu. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. (in Russian)  23, 630 (1996).

A. A. Golubentsev, V. V. Likhanskii, and A. P. Napartovich, “Theory of phase synchronization of laser sets,” Sov. Phys. JETP 66, 676 (1987).

Napartovich, M. A.

O. R. Kachurin, F. V. Lebedev, M. A. Napartovich, and M. E. Khlynov, “Control of the phased laser array radiation pattern,” Quantum Electron. (in Russian)  18, 387 (1991).

Prokhorov, A. M.

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Spatial phase-locking of linear arrays of 4 and 12 wide aperture semiconductor laser diodes in an external cavity,” Quantum Electron. 28, 257 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Phase-locking of eight wide-aperture semiconductor laser diodes in one-dimensional and two-dimensional configurations in an external Talbot cavity,” Quantum Electron. 28, 344 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Investigation of linear and two-dimensional arrays of semiconductor laser diodes in an external cavity,” Quantum Electron. 27, 850 (1997). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, V. I. Kislov, and A. M. Prokhorov, “Phase-locking of a semiconductor diode array in an external cavity,” Quantum Electron. (in Russian)  23, 1081 (1996).

Rouchoudhri, C.

F. X. D’Amato, E. T. Siebert, and C. Rouchoudhri, “Coherent operation of an array of diode lasers using a spatial filter in a Talbot cavity,” Appl. Phys. Lett. 55, 816 (1988).
[CrossRef]

Sanders, S.

S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
[CrossRef]

Scifres, D.

S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
[CrossRef]

R. Waarts, D. Mehuys, D. Nam, D. Welch, W. Streifer, and D. Scifres, “High-power, cw, diffraction limited, AlGaAs laser diode array in an external Talbot cavity,” Appl. Phys. Lett. 58, 2586 (1991).
[CrossRef]

Scifres, D. R.

J. Yaeli, W. Streifer, D. R. Scifres, P.S. Cross, R. L. Thornton, and R. D. Burnham, “Array mode selection utilizing an external cavity configuration,” Appl. Phys. Lett. 47, 89 (1985).
[CrossRef]

Scifres, D.R.

D.R. Scifres, R. A. Sprague, W. Streifer, and R. D. Burnham, “Focusing of a 7700-A high power phased array semiconductor laser,” Appl. Phys. Lett. 41, 1121 (1982).
[CrossRef]

Scott, M. L.

J. R. Leger, M. L. Scott, and W. B. Veldkamp, “Coherent addition of AlGaAs lasers using microlenses and diffractive coupling,” Appl. Phys. Lett. 52, 1771 (1988).
[CrossRef]

Shinkareva, I. V.

I. M. Beldyugin, M. V. Zolotarev, and I. V. Shinkareva, “An effect of noise and spread of resonant frequencies on phase-locking of optically coupled lasers,” Quantum Electron. (in Russian)  18, 1493 (1991).

Siebert, E. T.

F. X. D’Amato, E. T. Siebert, and C. Rouchoudhri, “Coherent operation of an array of diode lasers using a spatial filter in a Talbot cavity,” Appl. Phys. Lett. 55, 816 (1988).
[CrossRef]

Sprague, R. A.

D.R. Scifres, R. A. Sprague, W. Streifer, and R. D. Burnham, “Focusing of a 7700-A high power phased array semiconductor laser,” Appl. Phys. Lett. 41, 1121 (1982).
[CrossRef]

Streifer, W.

R. Waarts, D. Mehuys, D. Nam, D. Welch, W. Streifer, and D. Scifres, “High-power, cw, diffraction limited, AlGaAs laser diode array in an external Talbot cavity,” Appl. Phys. Lett. 58, 2586 (1991).
[CrossRef]

D. Mehuys, W. Streifer, R. Waarts, and D. Welch, “Modal analysis of linear Talbot-cavity semiconductor lasers,” Opt. Lett. 16, 823 (1991).
[CrossRef] [PubMed]

J. Yaeli, W. Streifer, D. R. Scifres, P.S. Cross, R. L. Thornton, and R. D. Burnham, “Array mode selection utilizing an external cavity configuration,” Appl. Phys. Lett. 47, 89 (1985).
[CrossRef]

D.R. Scifres, R. A. Sprague, W. Streifer, and R. D. Burnham, “Focusing of a 7700-A high power phased array semiconductor laser,” Appl. Phys. Lett. 41, 1121 (1982).
[CrossRef]

Thornton, R. L.

J. Yaeli, W. Streifer, D. R. Scifres, P.S. Cross, R. L. Thornton, and R. D. Burnham, “Array mode selection utilizing an external cavity configuration,” Appl. Phys. Lett. 47, 89 (1985).
[CrossRef]

Veldkamp, W. B.

J. R. Leger, M. L. Scott, and W. B. Veldkamp, “Coherent addition of AlGaAs lasers using microlenses and diffractive coupling,” Appl. Phys. Lett. 52, 1771 (1988).
[CrossRef]

Waarts, R.

S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
[CrossRef]

J. W. Cassarly, J. C. Ehlert, J. M. Finlan, K. M. Flood, R. Waarts, D. Mehuys, D. Nam, and D. Welch, “Intracavity phase correction of an external Talbot cavity laser with the use of liquid crystals,” Opt. Lett. 17, 607 (1992).
[CrossRef] [PubMed]

D. Mehuys, W. Streifer, R. Waarts, and D. Welch, “Modal analysis of linear Talbot-cavity semiconductor lasers,” Opt. Lett. 16, 823 (1991).
[CrossRef] [PubMed]

R. Waarts, D. Mehuys, D. Nam, D. Welch, W. Streifer, and D. Scifres, “High-power, cw, diffraction limited, AlGaAs laser diode array in an external Talbot cavity,” Appl. Phys. Lett. 58, 2586 (1991).
[CrossRef]

Welch, D.

S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
[CrossRef]

J. W. Cassarly, J. C. Ehlert, J. M. Finlan, K. M. Flood, R. Waarts, D. Mehuys, D. Nam, and D. Welch, “Intracavity phase correction of an external Talbot cavity laser with the use of liquid crystals,” Opt. Lett. 17, 607 (1992).
[CrossRef] [PubMed]

D. Mehuys, W. Streifer, R. Waarts, and D. Welch, “Modal analysis of linear Talbot-cavity semiconductor lasers,” Opt. Lett. 16, 823 (1991).
[CrossRef] [PubMed]

R. Waarts, D. Mehuys, D. Nam, D. Welch, W. Streifer, and D. Scifres, “High-power, cw, diffraction limited, AlGaAs laser diode array in an external Talbot cavity,” Appl. Phys. Lett. 58, 2586 (1991).
[CrossRef]

Yaeli, J.

J. Yaeli, W. Streifer, D. R. Scifres, P.S. Cross, R. L. Thornton, and R. D. Burnham, “Array mode selection utilizing an external cavity configuration,” Appl. Phys. Lett. 47, 89 (1985).
[CrossRef]

Zolotarev, M. V.

I. M. Beldyugin, M. V. Zolotarev, and I. V. Shinkareva, “An effect of noise and spread of resonant frequencies on phase-locking of optically coupled lasers,” Quantum Electron. (in Russian)  18, 1493 (1991).

Appl. Phys. Lett. (10)

D. E. Ackley, “Single longitudinal mode operation of high power multiple-stripe injection lasers,” Appl. Phys. Lett. 42, 152 (1983).
[CrossRef]

D. Botez and J. C. Connolly, “High-power phase-locked arrays of index-guided diode lasers,” Appl. Phys. Lett. 43, 1096 (1983).
[CrossRef]

D.R. Scifres, R. A. Sprague, W. Streifer, and R. D. Burnham, “Focusing of a 7700-A high power phased array semiconductor laser,” Appl. Phys. Lett. 41, 1121 (1982).
[CrossRef]

J. Yaeli, W. Streifer, D. R. Scifres, P.S. Cross, R. L. Thornton, and R. D. Burnham, “Array mode selection utilizing an external cavity configuration,” Appl. Phys. Lett. 47, 89 (1985).
[CrossRef]

J. R. Leger, “Lateral mode control of an AlGaAs laser array in a Talbot cavity,” Appl. Phys. Lett.,  55, 334 (1989).
[CrossRef]

F. X. D’Amato, E. T. Siebert, and C. Rouchoudhri, “Coherent operation of an array of diode lasers using a spatial filter in a Talbot cavity,” Appl. Phys. Lett. 55, 816 (1988).
[CrossRef]

J. R. Leger, M. L. Scott, and W. B. Veldkamp, “Coherent addition of AlGaAs lasers using microlenses and diffractive coupling,” Appl. Phys. Lett. 52, 1771 (1988).
[CrossRef]

R. Waarts, D. Mehuys, D. Nam, D. Welch, W. Streifer, and D. Scifres, “High-power, cw, diffraction limited, AlGaAs laser diode array in an external Talbot cavity,” Appl. Phys. Lett. 58, 2586 (1991).
[CrossRef]

J. K. Butler, D.E. Ackley, and D. Botez, “Coupled-mode analysis of phase-locked injection laser arrays,” Appl. Phys. Lett. 44, 293 (1983).
[CrossRef]

S. Sanders, R. Waarts, D. Nam, D. Welch, D. Scifres, J. Ehlert, W. Cassarly, J. Finlan, and K. Flood, “High-power coherent two-dimensional semiconductor laser array,” Appl. Phys. Lett. 64, 1478 (1994).
[CrossRef]

IEEE Journal of Quantum Electron. (1)

D. Botez, “Array-mode far-field patterns for phase-locked diode laser arrays: coupled mode theory versus simple diffraction theory,” IEEE Journal of Quantum Electron. 21, N.11, 1752 (1985).
[CrossRef]

Opt. Lett. (2)

Quantum Electron. (7)

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Investigation of linear and two-dimensional arrays of semiconductor laser diodes in an external cavity,” Quantum Electron. 27, 850 (1997). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Spatial phase-locking of linear arrays of 4 and 12 wide aperture semiconductor laser diodes in an external cavity,” Quantum Electron. 28, 257 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

V. V. Apollonov, S. I. Derzhavin, V. I. Kislov, A. A. Kazakov, Yu. P. Koval, V. V. Kuzminov, D. A. Mashkovsky, and A. M. Prokhorov, “Phase-locking of eight wide-aperture semiconductor laser diodes in one-dimensional and two-dimensional configurations in an external Talbot cavity,” Quantum Electron. 28, 344 (1998). (Translated from Russian Kvantovaya Electronica).
[CrossRef]

A. F. Glova, N. N. Elkin, A. Yu. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. (in Russian)  23, 630 (1996).

O. R. Kachurin, F. V. Lebedev, M. A. Napartovich, and M. E. Khlynov, “Control of the phased laser array radiation pattern,” Quantum Electron. (in Russian)  18, 387 (1991).

I. M. Beldyugin, M. V. Zolotarev, and I. V. Shinkareva, “An effect of noise and spread of resonant frequencies on phase-locking of optically coupled lasers,” Quantum Electron. (in Russian)  18, 1493 (1991).

V. V. Apollonov, V. I. Kislov, and A. M. Prokhorov, “Phase-locking of a semiconductor diode array in an external cavity,” Quantum Electron. (in Russian)  23, 1081 (1996).

Sov. Phys. JETP (1)

A. A. Golubentsev, V. V. Likhanskii, and A. P. Napartovich, “Theory of phase synchronization of laser sets,” Sov. Phys. JETP 66, 676 (1987).

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Figures (4)

Fig.1.
Fig.1.

Experimental setup. 1-laser diode array, 2-cylindrical lens, 3-cavity output mirror, R=50%, 4-lens (F=10 ñì), 5-videocamera, 6-monitor, 7-oscilloscope

Fig.2.
Fig.2.

Far field pattern of the “out-of-phase” supermode.

Fig.3 (a).
Fig.3 (a).

Far field pattern of the “in-phase” supermode for independent generation of the 2 laser diode arrays in a quarter-Talbot cavity.

Fig.3 (b).
Fig.3 (b).

Far field pattern of the “in-phase” supermode for 2D phase-locking of the 2 laser diode arrays in a quarter-Talbot cavity.

Equations (9)

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

δ γ ( δ L c z T ) 2 ( 1 2 π FF 2 ) 2
δ γ N 4 ( φ m / θ ) 2
δγ / γ ( 2 πFF ) 2 ( φ m γ / d ) 2
δ λ p Talbot 1 2 λ 2 2 L c ( NM β P n 2 ( G 0 NM ) )
δ λ p ne λ 2 2 L c M cos ( πv N + 1 )
δ λ p ne λ 2 2 L c M
γ γ e δ φ 2 / 2
γ 2 γ 0 2 e ( πNΔ / 8 dp ) 2
Δ < 1 10 N d

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