Abstract

We describe the theoretical modeling of the external-cavity operation of a phase-locked array of diode lasers in two configurations, the self-imaging cavity based on the Talbot effect and the angular-filtering cavity. Complex filtering functions, such as the transmission or reflection of a volume Bragg grating (VBG), may be introduced in the external-cavity description. Experiments with high-brightness diode laser arrays were also conducted. The experimental results are carefully analyzed with regard to the numerical simulations, and the beneficial effect of the spectral selectivity of VBGs is demonstrated.

© 2011 Optical Society of America

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  1. G. Overton, S. G. Anderson, D. A. Belforte, and T. Hausken, “Laser marketplace 2010: how wide is the chasm?” Laser Focus World 46, 32–49 (2010).
  2. C. Fiebig, G. Blume, C. Kaspari, D. Feise, J. Fricke, M. Matalla, W. John, H. Wenzel, K. Paschke, and G. Erbert, “12 W high-brightness single-frequency DBR tapered diode laser,” Electron. Lett. 44, 1253–1255 (2008).
    [CrossRef]
  3. T. Y. Fan, “Laser beam combining for high-power, high-radiance sources,” IEEE J. Sel. Top. Quantum Electron. 11, 567–577(2005).
    [CrossRef]
  4. F. X. D’Amato, E. T. Siebert, and C. Roychoudhuri, “Coherent operation of an array of diode-lasers using a spatial filter in a Talbot cavity,” Appl. Phys. Lett. 55, 816–818 (1989).
    [CrossRef]
  5. R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
    [CrossRef]
  6. B. Liu, Y. Liu, and Y. Braiman, “Coherent beam combining of high power broad-area laser diode array with a closed-V-shape external Talbot cavity,” Opt. Express 18, 7361–7368 (2010).
    [CrossRef] [PubMed]
  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, 89–91 (1985).
    [CrossRef]
  8. C. J. Chang Hasnain, J. Berger, D. R. Scifres, W. Streifer, J. R. Whinnery, and A. Dienes, “High-power with high-efficiency in a narrow single-lobed beam from a diode-laser array in an external cavity,” Appl. Phys. Lett. 50, 1465–1467 (1987).
    [CrossRef]
  9. B. L. Volodin, S. V. Dolgy, E. D. Melnik, E. Downs, J. Shaw, and V. S. Ban, “Wavelength stabilization and spectrum narrowing of high-power multimode laser diodes and arrays by use of volume Bragg gratings,” Opt. Lett. 29, 1891–1893 (2004).
    [CrossRef] [PubMed]
  10. S. Yiou, F. Balembois, P. Georges, and J.-P. Huignard, “Improvement of the spatial beam quality of laser sources with an intracavity Bragg grating,” Opt. Lett. 28, 242–244 (2003).
    [CrossRef] [PubMed]
  11. G. Lucas-Leclin, D. Pabœuf, P. Georges, J. Holm, P. Andersen, B. Sumpf, and G. Erbert, “Wavelength stabilization of extended-cavity tapered lasers with volume Bragg gratings,” Appl. Phys. B 91, 493–498 (2008).
    [CrossRef]
  12. D. Mehuys, W. Streifer, R. G. Waarts, and D. F. Welch, “Modal analysis of linear Talbot-cavity semiconductor-lasers,” Opt. Lett. 16, 823–825 (1991).
    [CrossRef] [PubMed]
  13. C. J. Chang-Hasnain, A. Dienes, J. R. Whinnery, W. Streifer, and D. R. Scifres, “Characteristics of the off-centered apertured mirror external cavity laser array,” Appl. Phys. Lett. 54, 484–486(1989).
    [CrossRef]
  14. J. K. Butler, D. E. Ackley, and D. Botez, “Coupled-mode analysis of phase-locked injection-laser arrays,” Appl. Phys. Lett. 44, 293–295 (1984).
    [CrossRef]
  15. O. Andrusyak, V. Smirnov, G. Venus, V. Rotar, and L. Glebov, “Spectral combining and coherent coupling of lasers by volume Bragg gratings,” IEEE J. Sel. Top. Quantum Electron. 15, 344–353 (2009), and references therein.
    [CrossRef]
  16. D. Pabœuf, G. Lucas-Leclin, P. Georges, N. Michel, M. Krakowski, J. J. Lim, S. Sujecki, and E. C. Larkins, “Narrow-line coherently combined tapered laser diodes in a Talbot external cavity with a volume Bragg grating,” Appl. Phys. Lett. 93, 211102 (2008).
    [CrossRef]
  17. H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech. J. 48, 2909–2947 (1969).
  18. J. W. Goodman, Introduction to Fourier Optics (Roberts, 2005).
  19. A. F. Glova, N. N. Elkin, A. Y. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. 26, 614–616 (1996).
    [CrossRef]
  20. W. Cassarly, J. Ehlert, J. Finlan, K. 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, 607–609 (1992).
    [CrossRef] [PubMed]
  21. M. Krakowski, S. C. Auzanneau, F. Berlie, M. Calligaro, Y. Robert, O. Parillaud, and M. Lecomte, “1 W high brightness index guided tapered laser at 980 nm using Al-free active region materials,” Electron. Lett. 39, 1122–1123 (2003).
    [CrossRef]
  22. J. J. Lim, T. M. Benson, and E. C. Larkins, “Design of wide-emitter single-mode laser diodes,” IEEE J. Quantum Electron. 41, 506–516 (2005).
    [CrossRef]
  23. J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
    [CrossRef]
  24. A. Barthelemy, F. Louradour, and V. Couderc, “Wavelength-tunable diffraction-limited operation of a standard high-power diode-laser array using an off-centered extended cavity,” Electron. Lett. 28, 2038–2040 (1992).
    [CrossRef]
  25. D. Pabœuf, G. Lucas-Leclin, N. Michel, M. Calligaro, M. Krakowski, and P. Georges, “Quasi-diffraction limited emission from an array of tapered laser diodes in volume Bragg grating external cavities,” in CLEO/Europe and EQEC 2009 Conference Digest (Optical Society of America, 2009), paper CB12_5.
    [CrossRef]
  26. M. Kelemen, J. Weber, G. Kaufel, G. Bihlmann, R. Moritz, M. Mikulla, and G. Weimann, “Tapered diode lasers at 976 nm with 8 W nearly diffraction limited output power,” Electron. Lett. 41, 1011–1013 (2005).
    [CrossRef]
  27. The phase plate has been designed and made by PowerPhotonic, Ltd., http://www.powerphotonic.co.uk.
  28. C. J. Corcoran and F. Durville, “Experimental demonstration of a phase-locked laser array using a self-Fourier cavity,” Appl. Phys. Lett. 86, 201118 (2005).
    [CrossRef]
  29. J. R. Leger, G. J. Swanson, and W. B. Veldkamp, “Coherent laser addition using binary phase gratings,” Appl. Opt. 26, 4391–4399(1987).
    [CrossRef] [PubMed]

2010 (2)

G. Overton, S. G. Anderson, D. A. Belforte, and T. Hausken, “Laser marketplace 2010: how wide is the chasm?” Laser Focus World 46, 32–49 (2010).

B. Liu, Y. Liu, and Y. Braiman, “Coherent beam combining of high power broad-area laser diode array with a closed-V-shape external Talbot cavity,” Opt. Express 18, 7361–7368 (2010).
[CrossRef] [PubMed]

2009 (3)

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
[CrossRef]

O. Andrusyak, V. Smirnov, G. Venus, V. Rotar, and L. Glebov, “Spectral combining and coherent coupling of lasers by volume Bragg gratings,” IEEE J. Sel. Top. Quantum Electron. 15, 344–353 (2009), and references therein.
[CrossRef]

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

2008 (3)

D. Pabœuf, G. Lucas-Leclin, P. Georges, N. Michel, M. Krakowski, J. J. Lim, S. Sujecki, and E. C. Larkins, “Narrow-line coherently combined tapered laser diodes in a Talbot external cavity with a volume Bragg grating,” Appl. Phys. Lett. 93, 211102 (2008).
[CrossRef]

G. Lucas-Leclin, D. Pabœuf, P. Georges, J. Holm, P. Andersen, B. Sumpf, and G. Erbert, “Wavelength stabilization of extended-cavity tapered lasers with volume Bragg gratings,” Appl. Phys. B 91, 493–498 (2008).
[CrossRef]

C. Fiebig, G. Blume, C. Kaspari, D. Feise, J. Fricke, M. Matalla, W. John, H. Wenzel, K. Paschke, and G. Erbert, “12 W high-brightness single-frequency DBR tapered diode laser,” Electron. Lett. 44, 1253–1255 (2008).
[CrossRef]

2005 (4)

T. Y. Fan, “Laser beam combining for high-power, high-radiance sources,” IEEE J. Sel. Top. Quantum Electron. 11, 567–577(2005).
[CrossRef]

M. Kelemen, J. Weber, G. Kaufel, G. Bihlmann, R. Moritz, M. Mikulla, and G. Weimann, “Tapered diode lasers at 976 nm with 8 W nearly diffraction limited output power,” Electron. Lett. 41, 1011–1013 (2005).
[CrossRef]

C. J. Corcoran and F. Durville, “Experimental demonstration of a phase-locked laser array using a self-Fourier cavity,” Appl. Phys. Lett. 86, 201118 (2005).
[CrossRef]

J. J. Lim, T. M. Benson, and E. C. Larkins, “Design of wide-emitter single-mode laser diodes,” IEEE J. Quantum Electron. 41, 506–516 (2005).
[CrossRef]

2004 (1)

2003 (2)

S. Yiou, F. Balembois, P. Georges, and J.-P. Huignard, “Improvement of the spatial beam quality of laser sources with an intracavity Bragg grating,” Opt. Lett. 28, 242–244 (2003).
[CrossRef] [PubMed]

M. Krakowski, S. C. Auzanneau, F. Berlie, M. Calligaro, Y. Robert, O. Parillaud, and M. Lecomte, “1 W high brightness index guided tapered laser at 980 nm using Al-free active region materials,” Electron. Lett. 39, 1122–1123 (2003).
[CrossRef]

1996 (1)

A. F. Glova, N. N. Elkin, A. Y. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. 26, 614–616 (1996).
[CrossRef]

1992 (2)

W. Cassarly, J. Ehlert, J. Finlan, K. 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, 607–609 (1992).
[CrossRef] [PubMed]

A. Barthelemy, F. Louradour, and V. Couderc, “Wavelength-tunable diffraction-limited operation of a standard high-power diode-laser array using an off-centered extended cavity,” Electron. Lett. 28, 2038–2040 (1992).
[CrossRef]

1991 (1)

1989 (2)

C. J. Chang-Hasnain, A. Dienes, J. R. Whinnery, W. Streifer, and D. R. Scifres, “Characteristics of the off-centered apertured mirror external cavity laser array,” Appl. Phys. Lett. 54, 484–486(1989).
[CrossRef]

F. X. D’Amato, E. T. Siebert, and C. Roychoudhuri, “Coherent operation of an array of diode-lasers using a spatial filter in a Talbot cavity,” Appl. Phys. Lett. 55, 816–818 (1989).
[CrossRef]

1987 (2)

C. J. Chang Hasnain, J. Berger, D. R. Scifres, W. Streifer, J. R. Whinnery, and A. Dienes, “High-power with high-efficiency in a narrow single-lobed beam from a diode-laser array in an external cavity,” Appl. Phys. Lett. 50, 1465–1467 (1987).
[CrossRef]

J. R. Leger, G. J. Swanson, and W. B. Veldkamp, “Coherent laser addition using binary phase gratings,” Appl. Opt. 26, 4391–4399(1987).
[CrossRef] [PubMed]

1985 (1)

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, 89–91 (1985).
[CrossRef]

1984 (1)

J. K. Butler, D. E. Ackley, and D. Botez, “Coupled-mode analysis of phase-locked injection-laser arrays,” Appl. Phys. Lett. 44, 293–295 (1984).
[CrossRef]

1969 (1)

H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech. J. 48, 2909–2947 (1969).

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, 293–295 (1984).
[CrossRef]

Andersen, P.

G. Lucas-Leclin, D. Pabœuf, P. Georges, J. Holm, P. Andersen, B. Sumpf, and G. Erbert, “Wavelength stabilization of extended-cavity tapered lasers with volume Bragg gratings,” Appl. Phys. B 91, 493–498 (2008).
[CrossRef]

Anderson, S. G.

G. Overton, S. G. Anderson, D. A. Belforte, and T. Hausken, “Laser marketplace 2010: how wide is the chasm?” Laser Focus World 46, 32–49 (2010).

Andrusyak, O.

O. Andrusyak, V. Smirnov, G. Venus, V. Rotar, and L. Glebov, “Spectral combining and coherent coupling of lasers by volume Bragg gratings,” IEEE J. Sel. Top. Quantum Electron. 15, 344–353 (2009), and references therein.
[CrossRef]

Augst, S.

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
[CrossRef]

Auzanneau, S. C.

M. Krakowski, S. C. Auzanneau, F. Berlie, M. Calligaro, Y. Robert, O. Parillaud, and M. Lecomte, “1 W high brightness index guided tapered laser at 980 nm using Al-free active region materials,” Electron. Lett. 39, 1122–1123 (2003).
[CrossRef]

Balembois, F.

Ban, V. S.

Barthelemy, A.

A. Barthelemy, F. Louradour, and V. Couderc, “Wavelength-tunable diffraction-limited operation of a standard high-power diode-laser array using an off-centered extended cavity,” Electron. Lett. 28, 2038–2040 (1992).
[CrossRef]

Belforte, D. A.

G. Overton, S. G. Anderson, D. A. Belforte, and T. Hausken, “Laser marketplace 2010: how wide is the chasm?” Laser Focus World 46, 32–49 (2010).

Benson, T. M.

J. J. Lim, T. M. Benson, and E. C. Larkins, “Design of wide-emitter single-mode laser diodes,” IEEE J. Quantum Electron. 41, 506–516 (2005).
[CrossRef]

Berger, J.

C. J. Chang Hasnain, J. Berger, D. R. Scifres, W. Streifer, J. R. Whinnery, and A. Dienes, “High-power with high-efficiency in a narrow single-lobed beam from a diode-laser array in an external cavity,” Appl. Phys. Lett. 50, 1465–1467 (1987).
[CrossRef]

Berlie, F.

M. Krakowski, S. C. Auzanneau, F. Berlie, M. Calligaro, Y. Robert, O. Parillaud, and M. Lecomte, “1 W high brightness index guided tapered laser at 980 nm using Al-free active region materials,” Electron. Lett. 39, 1122–1123 (2003).
[CrossRef]

Bihlmann, G.

M. Kelemen, J. Weber, G. Kaufel, G. Bihlmann, R. Moritz, M. Mikulla, and G. Weimann, “Tapered diode lasers at 976 nm with 8 W nearly diffraction limited output power,” Electron. Lett. 41, 1011–1013 (2005).
[CrossRef]

Blume, G.

C. Fiebig, G. Blume, C. Kaspari, D. Feise, J. Fricke, M. Matalla, W. John, H. Wenzel, K. Paschke, and G. Erbert, “12 W high-brightness single-frequency DBR tapered diode laser,” Electron. Lett. 44, 1253–1255 (2008).
[CrossRef]

Botez, D.

J. K. Butler, D. E. Ackley, and D. Botez, “Coupled-mode analysis of phase-locked injection-laser arrays,” Appl. Phys. Lett. 44, 293–295 (1984).
[CrossRef]

Braiman, Y.

Bream, P.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

Bull, S.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[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, 89–91 (1985).
[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, 293–295 (1984).
[CrossRef]

Calligaro, M.

M. Krakowski, S. C. Auzanneau, F. Berlie, M. Calligaro, Y. Robert, O. Parillaud, and M. Lecomte, “1 W high brightness index guided tapered laser at 980 nm using Al-free active region materials,” Electron. Lett. 39, 1122–1123 (2003).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, N. Michel, M. Calligaro, M. Krakowski, and P. Georges, “Quasi-diffraction limited emission from an array of tapered laser diodes in volume Bragg grating external cavities,” in CLEO/Europe and EQEC 2009 Conference Digest (Optical Society of America, 2009), paper CB12_5.
[CrossRef]

Cassarly, W.

Chang Hasnain, C. J.

C. J. Chang Hasnain, J. Berger, D. R. Scifres, W. Streifer, J. R. Whinnery, and A. Dienes, “High-power with high-efficiency in a narrow single-lobed beam from a diode-laser array in an external cavity,” Appl. Phys. Lett. 50, 1465–1467 (1987).
[CrossRef]

Chang-Hasnain, C. J.

C. J. Chang-Hasnain, A. Dienes, J. R. Whinnery, W. Streifer, and D. R. Scifres, “Characteristics of the off-centered apertured mirror external cavity laser array,” Appl. Phys. Lett. 54, 484–486(1989).
[CrossRef]

Chann, B.

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
[CrossRef]

Connors, M.

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
[CrossRef]

Corcoran, C. J.

C. J. Corcoran and F. Durville, “Experimental demonstration of a phase-locked laser array using a self-Fourier cavity,” Appl. Phys. Lett. 86, 201118 (2005).
[CrossRef]

Couderc, V.

A. Barthelemy, F. Louradour, and V. Couderc, “Wavelength-tunable diffraction-limited operation of a standard high-power diode-laser array using an off-centered extended cavity,” Electron. Lett. 28, 2038–2040 (1992).
[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, 89–91 (1985).
[CrossRef]

D’Amato, F. X.

F. X. D’Amato, E. T. Siebert, and C. Roychoudhuri, “Coherent operation of an array of diode-lasers using a spatial filter in a Talbot cavity,” Appl. Phys. Lett. 55, 816–818 (1989).
[CrossRef]

Dienes, A.

C. J. Chang-Hasnain, A. Dienes, J. R. Whinnery, W. Streifer, and D. R. Scifres, “Characteristics of the off-centered apertured mirror external cavity laser array,” Appl. Phys. Lett. 54, 484–486(1989).
[CrossRef]

C. J. Chang Hasnain, J. Berger, D. R. Scifres, W. Streifer, J. R. Whinnery, and A. Dienes, “High-power with high-efficiency in a narrow single-lobed beam from a diode-laser array in an external cavity,” Appl. Phys. Lett. 50, 1465–1467 (1987).
[CrossRef]

Dolgy, S. V.

Donnelly, J.

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
[CrossRef]

Dorsch, F.

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
[CrossRef]

Downs, E.

Durville, F.

C. J. Corcoran and F. Durville, “Experimental demonstration of a phase-locked laser array using a self-Fourier cavity,” Appl. Phys. Lett. 86, 201118 (2005).
[CrossRef]

Ehlert, J.

Elkin, N. N.

A. F. Glova, N. N. Elkin, A. Y. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. 26, 614–616 (1996).
[CrossRef]

Erbert, G.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

G. Lucas-Leclin, D. Pabœuf, P. Georges, J. Holm, P. Andersen, B. Sumpf, and G. Erbert, “Wavelength stabilization of extended-cavity tapered lasers with volume Bragg gratings,” Appl. Phys. B 91, 493–498 (2008).
[CrossRef]

C. Fiebig, G. Blume, C. Kaspari, D. Feise, J. Fricke, M. Matalla, W. John, H. Wenzel, K. Paschke, and G. Erbert, “12 W high-brightness single-frequency DBR tapered diode laser,” Electron. Lett. 44, 1253–1255 (2008).
[CrossRef]

Fan, T. Y.

T. Y. Fan, “Laser beam combining for high-power, high-radiance sources,” IEEE J. Sel. Top. Quantum Electron. 11, 567–577(2005).
[CrossRef]

Feise, D.

C. Fiebig, G. Blume, C. Kaspari, D. Feise, J. Fricke, M. Matalla, W. John, H. Wenzel, K. Paschke, and G. Erbert, “12 W high-brightness single-frequency DBR tapered diode laser,” Electron. Lett. 44, 1253–1255 (2008).
[CrossRef]

Fiebig, C.

C. Fiebig, G. Blume, C. Kaspari, D. Feise, J. Fricke, M. Matalla, W. John, H. Wenzel, K. Paschke, and G. Erbert, “12 W high-brightness single-frequency DBR tapered diode laser,” Electron. Lett. 44, 1253–1255 (2008).
[CrossRef]

Finlan, J.

Flood, K.

Fricke, J.

C. Fiebig, G. Blume, C. Kaspari, D. Feise, J. Fricke, M. Matalla, W. John, H. Wenzel, K. Paschke, and G. Erbert, “12 W high-brightness single-frequency DBR tapered diode laser,” Electron. Lett. 44, 1253–1255 (2008).
[CrossRef]

Georges, P.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, P. Georges, N. Michel, M. Krakowski, J. J. Lim, S. Sujecki, and E. C. Larkins, “Narrow-line coherently combined tapered laser diodes in a Talbot external cavity with a volume Bragg grating,” Appl. Phys. Lett. 93, 211102 (2008).
[CrossRef]

G. Lucas-Leclin, D. Pabœuf, P. Georges, J. Holm, P. Andersen, B. Sumpf, and G. Erbert, “Wavelength stabilization of extended-cavity tapered lasers with volume Bragg gratings,” Appl. Phys. B 91, 493–498 (2008).
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S. Yiou, F. Balembois, P. Georges, and J.-P. Huignard, “Improvement of the spatial beam quality of laser sources with an intracavity Bragg grating,” Opt. Lett. 28, 242–244 (2003).
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D. Pabœuf, G. Lucas-Leclin, N. Michel, M. Calligaro, M. Krakowski, and P. Georges, “Quasi-diffraction limited emission from an array of tapered laser diodes in volume Bragg grating external cavities,” in CLEO/Europe and EQEC 2009 Conference Digest (Optical Society of America, 2009), paper CB12_5.
[CrossRef]

Glebov, L.

O. Andrusyak, V. Smirnov, G. Venus, V. Rotar, and L. Glebov, “Spectral combining and coherent coupling of lasers by volume Bragg gratings,” IEEE J. Sel. Top. Quantum Electron. 15, 344–353 (2009), and references therein.
[CrossRef]

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A. F. Glova, N. N. Elkin, A. Y. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. 26, 614–616 (1996).
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J. W. Goodman, Introduction to Fourier Optics (Roberts, 2005).

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J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

Hausken, T.

G. Overton, S. G. Anderson, D. A. Belforte, and T. Hausken, “Laser marketplace 2010: how wide is the chasm?” Laser Focus World 46, 32–49 (2010).

Holm, J.

G. Lucas-Leclin, D. Pabœuf, P. Georges, J. Holm, P. Andersen, B. Sumpf, and G. Erbert, “Wavelength stabilization of extended-cavity tapered lasers with volume Bragg gratings,” Appl. Phys. B 91, 493–498 (2008).
[CrossRef]

Hostetler, J.

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
[CrossRef]

Huang, R.

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
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Huignard, J.-P.

John, W.

C. Fiebig, G. Blume, C. Kaspari, D. Feise, J. Fricke, M. Matalla, W. John, H. Wenzel, K. Paschke, and G. Erbert, “12 W high-brightness single-frequency DBR tapered diode laser,” Electron. Lett. 44, 1253–1255 (2008).
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Kaspari, C.

C. Fiebig, G. Blume, C. Kaspari, D. Feise, J. Fricke, M. Matalla, W. John, H. Wenzel, K. Paschke, and G. Erbert, “12 W high-brightness single-frequency DBR tapered diode laser,” Electron. Lett. 44, 1253–1255 (2008).
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M. Kelemen, J. Weber, G. Kaufel, G. Bihlmann, R. Moritz, M. Mikulla, and G. Weimann, “Tapered diode lasers at 976 nm with 8 W nearly diffraction limited output power,” Electron. Lett. 41, 1011–1013 (2005).
[CrossRef]

Kelemen, M.

M. Kelemen, J. Weber, G. Kaufel, G. Bihlmann, R. Moritz, M. Mikulla, and G. Weimann, “Tapered diode lasers at 976 nm with 8 W nearly diffraction limited output power,” Electron. Lett. 41, 1011–1013 (2005).
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Krakowski, M.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, P. Georges, N. Michel, M. Krakowski, J. J. Lim, S. Sujecki, and E. C. Larkins, “Narrow-line coherently combined tapered laser diodes in a Talbot external cavity with a volume Bragg grating,” Appl. Phys. Lett. 93, 211102 (2008).
[CrossRef]

M. Krakowski, S. C. Auzanneau, F. Berlie, M. Calligaro, Y. Robert, O. Parillaud, and M. Lecomte, “1 W high brightness index guided tapered laser at 980 nm using Al-free active region materials,” Electron. Lett. 39, 1122–1123 (2003).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, N. Michel, M. Calligaro, M. Krakowski, and P. Georges, “Quasi-diffraction limited emission from an array of tapered laser diodes in volume Bragg grating external cavities,” in CLEO/Europe and EQEC 2009 Conference Digest (Optical Society of America, 2009), paper CB12_5.
[CrossRef]

Lang, L.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

Larkins, E. C.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, P. Georges, N. Michel, M. Krakowski, J. J. Lim, S. Sujecki, and E. C. Larkins, “Narrow-line coherently combined tapered laser diodes in a Talbot external cavity with a volume Bragg grating,” Appl. Phys. Lett. 93, 211102 (2008).
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J. J. Lim, T. M. Benson, and E. C. Larkins, “Design of wide-emitter single-mode laser diodes,” IEEE J. Quantum Electron. 41, 506–516 (2005).
[CrossRef]

Lecomte, M.

M. Krakowski, S. C. Auzanneau, F. Berlie, M. Calligaro, Y. Robert, O. Parillaud, and M. Lecomte, “1 W high brightness index guided tapered laser at 980 nm using Al-free active region materials,” Electron. Lett. 39, 1122–1123 (2003).
[CrossRef]

Leger, J. R.

Lim, J. J.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, P. Georges, N. Michel, M. Krakowski, J. J. Lim, S. Sujecki, and E. C. Larkins, “Narrow-line coherently combined tapered laser diodes in a Talbot external cavity with a volume Bragg grating,” Appl. Phys. Lett. 93, 211102 (2008).
[CrossRef]

J. J. Lim, T. M. Benson, and E. C. Larkins, “Design of wide-emitter single-mode laser diodes,” IEEE J. Quantum Electron. 41, 506–516 (2005).
[CrossRef]

Liu, B.

Liu, Y.

Louradour, F.

A. Barthelemy, F. Louradour, and V. Couderc, “Wavelength-tunable diffraction-limited operation of a standard high-power diode-laser array using an off-centered extended cavity,” Electron. Lett. 28, 2038–2040 (1992).
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J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, P. Georges, N. Michel, M. Krakowski, J. J. Lim, S. Sujecki, and E. C. Larkins, “Narrow-line coherently combined tapered laser diodes in a Talbot external cavity with a volume Bragg grating,” Appl. Phys. Lett. 93, 211102 (2008).
[CrossRef]

G. Lucas-Leclin, D. Pabœuf, P. Georges, J. Holm, P. Andersen, B. Sumpf, and G. Erbert, “Wavelength stabilization of extended-cavity tapered lasers with volume Bragg gratings,” Appl. Phys. B 91, 493–498 (2008).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, N. Michel, M. Calligaro, M. Krakowski, and P. Georges, “Quasi-diffraction limited emission from an array of tapered laser diodes in volume Bragg grating external cavities,” in CLEO/Europe and EQEC 2009 Conference Digest (Optical Society of America, 2009), paper CB12_5.
[CrossRef]

Lysikov, A. Y.

A. F. Glova, N. N. Elkin, A. Y. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. 26, 614–616 (1996).
[CrossRef]

MacKenzie, R. C.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

Matalla, M.

C. Fiebig, G. Blume, C. Kaspari, D. Feise, J. Fricke, M. Matalla, W. John, H. Wenzel, K. Paschke, and G. Erbert, “12 W high-brightness single-frequency DBR tapered diode laser,” Electron. Lett. 44, 1253–1255 (2008).
[CrossRef]

Mehuys, D.

Melnik, E. D.

Michel, N.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, P. Georges, N. Michel, M. Krakowski, J. J. Lim, S. Sujecki, and E. C. Larkins, “Narrow-line coherently combined tapered laser diodes in a Talbot external cavity with a volume Bragg grating,” Appl. Phys. Lett. 93, 211102 (2008).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, N. Michel, M. Calligaro, M. Krakowski, and P. Georges, “Quasi-diffraction limited emission from an array of tapered laser diodes in volume Bragg grating external cavities,” in CLEO/Europe and EQEC 2009 Conference Digest (Optical Society of America, 2009), paper CB12_5.
[CrossRef]

Miester, C.

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
[CrossRef]

Mikulla, M.

M. Kelemen, J. Weber, G. Kaufel, G. Bihlmann, R. Moritz, M. Mikulla, and G. Weimann, “Tapered diode lasers at 976 nm with 8 W nearly diffraction limited output power,” Electron. Lett. 41, 1011–1013 (2005).
[CrossRef]

Missaggia, L.

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
[CrossRef]

Moritz, R.

M. Kelemen, J. Weber, G. Kaufel, G. Bihlmann, R. Moritz, M. Mikulla, and G. Weimann, “Tapered diode lasers at 976 nm with 8 W nearly diffraction limited output power,” Electron. Lett. 41, 1011–1013 (2005).
[CrossRef]

Nam, D.

Napartovich, A. P.

A. F. Glova, N. N. Elkin, A. Y. Lysikov, and A. P. Napartovich, “External Talbot cavity with in-phase mode selection,” Quantum Electron. 26, 614–616 (1996).
[CrossRef]

Overton, G.

G. Overton, S. G. Anderson, D. A. Belforte, and T. Hausken, “Laser marketplace 2010: how wide is the chasm?” Laser Focus World 46, 32–49 (2010).

Pabœuf, D.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, P. Georges, N. Michel, M. Krakowski, J. J. Lim, S. Sujecki, and E. C. Larkins, “Narrow-line coherently combined tapered laser diodes in a Talbot external cavity with a volume Bragg grating,” Appl. Phys. Lett. 93, 211102 (2008).
[CrossRef]

G. Lucas-Leclin, D. Pabœuf, P. Georges, J. Holm, P. Andersen, B. Sumpf, and G. Erbert, “Wavelength stabilization of extended-cavity tapered lasers with volume Bragg gratings,” Appl. Phys. B 91, 493–498 (2008).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, N. Michel, M. Calligaro, M. Krakowski, and P. Georges, “Quasi-diffraction limited emission from an array of tapered laser diodes in volume Bragg grating external cavities,” in CLEO/Europe and EQEC 2009 Conference Digest (Optical Society of America, 2009), paper CB12_5.
[CrossRef]

Parillaud, O.

M. Krakowski, S. C. Auzanneau, F. Berlie, M. Calligaro, Y. Robert, O. Parillaud, and M. Lecomte, “1 W high brightness index guided tapered laser at 980 nm using Al-free active region materials,” Electron. Lett. 39, 1122–1123 (2003).
[CrossRef]

Paschke, K.

C. Fiebig, G. Blume, C. Kaspari, D. Feise, J. Fricke, M. Matalla, W. John, H. Wenzel, K. Paschke, and G. Erbert, “12 W high-brightness single-frequency DBR tapered diode laser,” Electron. Lett. 44, 1253–1255 (2008).
[CrossRef]

Pauliat, G.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

Petersen, P. M.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

Robert, Y.

M. Krakowski, S. C. Auzanneau, F. Berlie, M. Calligaro, Y. Robert, O. Parillaud, and M. Lecomte, “1 W high brightness index guided tapered laser at 980 nm using Al-free active region materials,” Electron. Lett. 39, 1122–1123 (2003).
[CrossRef]

Rotar, V.

O. Andrusyak, V. Smirnov, G. Venus, V. Rotar, and L. Glebov, “Spectral combining and coherent coupling of lasers by volume Bragg gratings,” IEEE J. Sel. Top. Quantum Electron. 15, 344–353 (2009), and references therein.
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F. X. D’Amato, E. T. Siebert, and C. Roychoudhuri, “Coherent operation of an array of diode-lasers using a spatial filter in a Talbot cavity,” Appl. Phys. Lett. 55, 816–818 (1989).
[CrossRef]

Sanchez-Rubio, A.

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
[CrossRef]

Scifres, D. R.

C. J. Chang-Hasnain, A. Dienes, J. R. Whinnery, W. Streifer, and D. R. Scifres, “Characteristics of the off-centered apertured mirror external cavity laser array,” Appl. Phys. Lett. 54, 484–486(1989).
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C. J. Chang Hasnain, J. Berger, D. R. Scifres, W. Streifer, J. R. Whinnery, and A. Dienes, “High-power with high-efficiency in a narrow single-lobed beam from a diode-laser array in an external cavity,” Appl. Phys. Lett. 50, 1465–1467 (1987).
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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, 89–91 (1985).
[CrossRef]

Shaw, J.

Siebert, E. T.

F. X. D’Amato, E. T. Siebert, and C. Roychoudhuri, “Coherent operation of an array of diode-lasers using a spatial filter in a Talbot cavity,” Appl. Phys. Lett. 55, 816–818 (1989).
[CrossRef]

Smirnov, V.

O. Andrusyak, V. Smirnov, G. Venus, V. Rotar, and L. Glebov, “Spectral combining and coherent coupling of lasers by volume Bragg gratings,” IEEE J. Sel. Top. Quantum Electron. 15, 344–353 (2009), and references therein.
[CrossRef]

Streifer, W.

D. Mehuys, W. Streifer, R. G. Waarts, and D. F. Welch, “Modal analysis of linear Talbot-cavity semiconductor-lasers,” Opt. Lett. 16, 823–825 (1991).
[CrossRef] [PubMed]

C. J. Chang-Hasnain, A. Dienes, J. R. Whinnery, W. Streifer, and D. R. Scifres, “Characteristics of the off-centered apertured mirror external cavity laser array,” Appl. Phys. Lett. 54, 484–486(1989).
[CrossRef]

C. J. Chang Hasnain, J. Berger, D. R. Scifres, W. Streifer, J. R. Whinnery, and A. Dienes, “High-power with high-efficiency in a narrow single-lobed beam from a diode-laser array in an external cavity,” Appl. Phys. Lett. 50, 1465–1467 (1987).
[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, 89–91 (1985).
[CrossRef]

Sujecki, S.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

D. Pabœuf, G. Lucas-Leclin, P. Georges, N. Michel, M. Krakowski, J. J. Lim, S. Sujecki, and E. C. Larkins, “Narrow-line coherently combined tapered laser diodes in a Talbot external cavity with a volume Bragg grating,” Appl. Phys. Lett. 93, 211102 (2008).
[CrossRef]

Sumpf, B.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[CrossRef]

G. Lucas-Leclin, D. Pabœuf, P. Georges, J. Holm, P. Andersen, B. Sumpf, and G. Erbert, “Wavelength stabilization of extended-cavity tapered lasers with volume Bragg gratings,” Appl. Phys. B 91, 493–498 (2008).
[CrossRef]

Swanson, G. J.

Thestrup, B.

J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
[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, 89–91 (1985).
[CrossRef]

Turner, G.

R. Huang, B. Chann, L. Missaggia, S. Augst, M. Connors, G. Turner, A. Sanchez-Rubio, J. Donnelly, J. Hostetler, C. Miester, and F. Dorsch, “Coherent combination of slab-coupled optical waveguide lasers,” Proc. SPIE 7230, 72301G(2009).
[CrossRef]

Veldkamp, W. B.

Venus, G.

O. Andrusyak, V. Smirnov, G. Venus, V. Rotar, and L. Glebov, “Spectral combining and coherent coupling of lasers by volume Bragg gratings,” IEEE J. Sel. Top. Quantum Electron. 15, 344–353 (2009), and references therein.
[CrossRef]

Volodin, B. L.

Waarts, R.

Waarts, R. G.

Weber, J.

M. Kelemen, J. Weber, G. Kaufel, G. Bihlmann, R. Moritz, M. Mikulla, and G. Weimann, “Tapered diode lasers at 976 nm with 8 W nearly diffraction limited output power,” Electron. Lett. 41, 1011–1013 (2005).
[CrossRef]

Weimann, G.

M. Kelemen, J. Weber, G. Kaufel, G. Bihlmann, R. Moritz, M. Mikulla, and G. Weimann, “Tapered diode lasers at 976 nm with 8 W nearly diffraction limited output power,” Electron. Lett. 41, 1011–1013 (2005).
[CrossRef]

Welch, D.

Welch, D. F.

Wenzel, H.

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J. J. Lim, S. Sujecki, L. Lang, Z. Zhang, D. Pabœuf, G. Pauliat, G. Lucas-Leclin, P. Georges, R. C. MacKenzie, P. Bream, S. Bull, K. Hasler, B. Sumpf, H. Wenzel, G. Erbert, B. Thestrup, P. M. Petersen, N. Michel, M. Krakowski, and E. C. Larkins, “Design and simulation of next-generation high-power, high-brightness laser diodes,” IEEE J. Sel. Top. Quantum Electron. 15, 993–1008 (2009).
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[CrossRef]

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M. Krakowski, S. C. Auzanneau, F. Berlie, M. Calligaro, Y. Robert, O. Parillaud, and M. Lecomte, “1 W high brightness index guided tapered laser at 980 nm using Al-free active region materials,” Electron. Lett. 39, 1122–1123 (2003).
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The phase plate has been designed and made by PowerPhotonic, Ltd., http://www.powerphotonic.co.uk.

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Figures (12)

Fig. 1
Fig. 1

Scheme of the external cavity considered for the simulations.

Fig. 2
Fig. 2

Design parameters of a transmissive (top) and a reflective (bottom) VBG; k i and k d are the direction vectors of the incident and diffracted beams, respectively; other parameters are defined in the text.

Fig. 3
Fig. 3

Effective coupling coefficients of the Talbot external cavity considering a plane mirror (unfilled markers) and the VBG RBG1 (filled markers) at L ext = Z T / 4 : blue squares, α = 0 ; red circles, α = λ / 2 p . The laser array consists of N = 10 Gaussian-shaped ( w = 15 μm ) emitters, with a pitch p = 100 μm . The values obtained with the VBG have been normalized with respect to its maximum reflectivity ( R B = 40 % ) for easier comparison.

Fig. 4
Fig. 4

(a) Simulated near-field intensity profile (solid blue curve) and phase (green boxes) of the in-phase mode of the Talbot external cavity with RBG1 as the output coupler. Laser array as in Fig. 3. (b) Corresponding far-field angular profile.

Fig. 5
Fig. 5

Effective gain repartition inside the laser array for the Talbot external cavity with the N = 10 index-guided TL array: filled squares, out-of-phase mode ( α = 0 ); unfilled circles, in-phase mode ( α = λ / 2 p ); L ext = Z T / 4 .

Fig. 6
Fig. 6

Scheme of the angular-filtering cavity considered for the simulations.

Fig. 7
Fig. 7

(a) Simulated near-field intensity profile (solid blue curve) and phase (full green boxes) of the out-of-phase mode of the angular-filtering cavity. The laser array consists of N = 6 Gaussian-shaped ( w = 15 μm ) emitters, with a pitch p = 30 μm . (b) Corresponding far-field angular profile.

Fig. 8
Fig. 8

Far-field profiles of the phase-locked N = 10 index-guided TL array (in-phase mode) in the Talbot external cavity with a 40%-reflectivity plane mirror (a) or VBG (b) as the output coupler. (c), (d) Corresponding spatially resolved near-field spectra.

Fig. 9
Fig. 9

Far-field profiles of the phase-locked N = 12 gain-guided TL array in the external Talbot cavity with a 25%-reflectivity VBG; red dashed curve, theory; black curve, operating current I = 5.5 A ; gray curve, I = 15 A .

Fig. 10
Fig. 10

Experimental setup of the angular-filtering cavity; FAC, fast-axis collimator; TBG, transmissive VBG.

Fig. 11
Fig. 11

Experimental far-field profile of the phase-locked N = 6 index-guided TL array in the angular-filtering cavity with a transmissive VBG; operating current, I = 2.3 A ; output power, P = 971 mW .

Fig. 12
Fig. 12

Scheme of the external cavity with parameters used for the demonstration of Eq. (8) (see details in Appendix A).

Tables (2)

Tables Icon

Table 1 Design Parameters of the Volume Bragg Gratings Used for Modeling a

Tables Icon

Table 2 Geometric Properties of the Tapered-Laser Arrays Used in the Experiments

Equations (15)

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r 0 r e 2 i φ e 2 g L { κ km } × E ( x , z = 0 ) = E ( x , z = 0 ) ,
κ k m = + u k * ( x ) × C [ u m ] ( x ) d x + u k * ( x ) × u k ( x ) d x .
g n = 1 L ln ( 1 r 0 r | γ n | ) .
E n ( x , z = 0 ) = k = 1 N sin ( k n π N + 1 + n π 2 ) × exp ( x + ( N + 1 2 k ) p w ) 2 , 1 n N ,
r RBG ( λ , θ i ) = i ξ R ν + 1 + ξ R 2 ν 2 × cot ( ν 2 + ξ R 2 ) .
t TBG ( λ , θ i ) = i exp ( i ξ T ) × sin ( ν 2 ξ T 2 ) 1 ξ T 2 ν 2 ,
ξ R = ( 2 π Λ cos θ i π n 0 λ ) d 2 cos θ i ,
ξ T = ξ R π d λ ( tan θ i + 1 ) ,
ν = π n 1 d λ cos ( θ i ) .
C [ u m ] ( x ) = + r RBG ( λ , arcsin ( σ λ ) α ) × H ( L ext , σ ) × u ˜ m ( σ tan 2 α λ , z = L ext ) × e 2 i π σ d σ ,
D a d 2 d x 2 n ( k ) ( x ) = J ( k ) ( x ) q d + R NR ( k ) ( x ) + R Sp ( k ) ( x ) + v g g ( k ) ( x ) S ( x ) ,
C [ u m ] ( x ) = + f ( arcsin ( λ σ ) ) × u ˜ m ( σ ) e 2 i π x σ d σ ,
u n ( x , z = L ext ) = + H ( L ext , σ ) × u ˜ n ( σ , z = 0 ) e 2 i π x σ d σ ,
u ˜ n ( x , z = L ext , α ) = r RBG ( λ , arcsin ( σ λ ) α ) × u ˜ n ( σ tan ( 2 α ) λ , z = L ext ) ,
u n ( x , z = 2 L ext , α ) = + H ( L ext , σ ) × u ˜ n ( σ , z = L ext , α ) e 2 i π x σ d σ .

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