Abstract

We theoretically study the dynamics of a multistripe laser array with an external cavity formed by either one or two off-axis feedback mirrors, which allow us to select a single lateral supermode with transversely modulated intensity distribution. We derive and analyze a reduced model of such an array based on a set of delay differential equations, taking into account transverse carrier grating in the semiconductor medium. With the help of the bifurcation analysis of the reduced model, we show the existence of single and multimode instabilities leading to periodic and irregular pulsations of the output intensity. In particular, we observe a multimode instability leading to a periodic regime with antiphase oscillating intensities of the two counter-propagating waves in the external cavity. This is in agreement with the result obtained earlier with the help of a 2+1 dimensional traveling wave model.

© 2013 Optical Society of America

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  1. M. Kanskar, T. Earles, T. Goodnough, E. Stiers, D. Botez, and L. J. Mawst, “73% CW power conversion efficiency at 50 W from 970 nm diode laser bars,” Electron. Lett. 41, 245–247 (2005).
    [CrossRef]
  2. K. J. Paschke, S. Einfeldt, A. Ginolas, K. Haeusler, P. Ressel, B. Sumpf, H. Wenzel, and G. Erbert, “15 W reliable operation of 96 μm aperture broad-area diode lasers emitting at 980 nm,” in CLEO/QELS Conference and Photonic Applications Systems Technologies, OSA Technical Digest (Optical Society of America, 2008), paper CMN4.
  3. H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
    [CrossRef]
  4. H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
    [CrossRef]
  5. M. Spreemann, M. Lichtner, M. Radziunas, U. Bandelow, and H. Wenzel, “Measurement and simulation of distributed-feedback tapered master-oscillator power amplifiers,” IEEE J. Quantum Electron. 45, 609–616 (2009).
    [CrossRef]
  6. K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (2008).
    [CrossRef]
  7. 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]
  8. C. Fiebig, V. Z. Tronciu, M. Lichtner, K. Paschke, and H. Wenzel, “Experimental and numerical study of distributed-Bragg-reflector tapered lasers,” Appl. Phys. B 99, 209–214 (2010).
    [CrossRef]
  9. D. Botez and D. R. Scifres, eds., Diode Laser Arrays (Cambridge University, 1994).
  10. G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Global coupling with time delay in an array of semiconductor lasers,” Phys. Rev. Lett. 85, 3809–3812 (2000).
    [CrossRef]
  11. G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Dynamics of a semiconductor laser array with delayed global coupling,” Phys. Rev. E 64, 16613–16625 (2001).
    [CrossRef]
  12. A. Vladimirov, G. Kozyreff, and P. Mandel, “Synchronization of weakly stable oscillators and semiconductor laser arrays,” Europhys. Lett. 61, 613–619 (2003).
    [CrossRef]
  13. A. Jechow, V. Raab, and R. Menzel, “Tunable 6.8 W narrow bandwidth emission from a single-stripe continuous-wave broad-area laser diode in a simple external cavity,” Appl. Opt. 47, 1447–1450 (2008).
    [CrossRef]
  14. B. Thestrup, M. Chi, and P. M. Petersen, “Lateral mode selection in a broad-area laser diode by self-injection locking with a mirror stripe,” Proc. SPIE 5336, 38–44 (2004).
    [CrossRef]
  15. S. Wolff, A. Rodionov, V. Sherstobitov, and H. Fouckhardt, “Fourier-optical transverse mode selection in external-cavity broad-area lasers: experimental and numerical results,” IEEE J. Quantum Electron. 39, 448–458 (2003).
    [CrossRef]
  16. L. Lang, J. J. Lim, S. Sujecki, and E. C. Larkins, “Improvement of the beam quality of a broad-area diode laser using asymmetric feedback from an external cavity,” Opt. Quantum Electron. 40, 1097–1102 (2008).
    [CrossRef]
  17. M. Chi, B. Thestrup, and P. M. Petersen, “Self-injection locking of an extraordinarily wide broad-area diode laser with a 1000 μm-wide emitter,” Opt. Lett. 30, 1147–1149 (2005).
    [CrossRef]
  18. A. Jechow, V. Raab, R. Menzel, M. Cenkier, S. Stry, and J. Sacher, “1 W tunable near diffraction limited light from a broad area laser diode in an external cavity with a line width of 1.7 MHz,” Opt. Commun. 277, 161–165 (2007).
    [CrossRef]
  19. L. Goldberg and J. Weller, “Narrow lobe emission of high power broad stripe laser in external resonator cavity,” Electron. Lett. 25, 112–114 (1989).
    [CrossRef]
  20. K. Iida, H. Horiuchi, O. Matoba, T. Omatsu, T. Shimura, and K. Kuroda, “Injection locking of a broad-area diode laser through a double phase-conjugate mirror,” Opt. Commun. 146, 6–10 (1998).
    [CrossRef]
  21. M. Lichtner, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical investigation of striped and non-striped broad area lasers with off-axis feedback,” IEEE J. Quantum Electron. 48, 353–360 (2012).
    [CrossRef]
  22. A. Jechow, M. Lichtner, R. Menzel, M. Radziunas, D. Skoczowsky, and A. G. Vladimirov, “Stripe-array diode-laser in an off-axis external cavity: theory and experiment,” Opt. Express 17, 19599–19604 (2009).
    [CrossRef]
  23. Y. Khanin, ed., Fundamentals of Laser Dynamics (Cambridge International Science Publishing, 2004).
  24. A. Vladimirov, “Bifurcation analysis of a bidirectional class B laser,” Opt. Commun. 149, 67–72 (1998).
    [CrossRef]
  25. A. G. Vladimirov, D. Turaev, and G. Kozyreff, “Delay differential equations for mode-locked semiconductor lasers,” Opt. Lett. 29, 1221–1223 (2004).
    [CrossRef]
  26. A. Vladimirov and D. Turaev, “A new model for a mode-locked semiconductor laser,” Radiophys. Quantum Electron. 47, 769–776 (2004).
    [CrossRef]
  27. A. Vladimirov and D. Turaev, “Model for passive mode-locking in semiconductor lasers,” Phys. Rev. A 72, 33808 (2005).
    [CrossRef]
  28. A. Pimenov, G. Kozyreff, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical analysis of a multi-stripe laser array with external off-axis feedback,” Proc. SPIE 8432, 843212 (2012).
    [CrossRef]
  29. K. Engelborghs, T. Luzyanina, and G. Samaey, “DDE-biftool v.2.00: a MATLAB package for bifurcation analysis of delay differential equations,” Tech. Rep. TW-330 (Katholieke Universiteit Leuven, Department of Computer Science, Leuven, Belgium, 2001).
  30. I. Babushkin, U. Bandelow, and A. G. Vladimirov, “Rotational symmetry breaking in small-area circular vertical cavity surface emitting lasers,” Opt. Commun. 284, 1299–1302 (2011).
    [CrossRef]

2012 (2)

M. Lichtner, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical investigation of striped and non-striped broad area lasers with off-axis feedback,” IEEE J. Quantum Electron. 48, 353–360 (2012).
[CrossRef]

A. Pimenov, G. Kozyreff, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical analysis of a multi-stripe laser array with external off-axis feedback,” Proc. SPIE 8432, 843212 (2012).
[CrossRef]

2011 (1)

I. Babushkin, U. Bandelow, and A. G. Vladimirov, “Rotational symmetry breaking in small-area circular vertical cavity surface emitting lasers,” Opt. Commun. 284, 1299–1302 (2011).
[CrossRef]

2010 (1)

C. Fiebig, V. Z. Tronciu, M. Lichtner, K. Paschke, and H. Wenzel, “Experimental and numerical study of distributed-Bragg-reflector tapered lasers,” Appl. Phys. B 99, 209–214 (2010).
[CrossRef]

2009 (2)

M. Spreemann, M. Lichtner, M. Radziunas, U. Bandelow, and H. Wenzel, “Measurement and simulation of distributed-feedback tapered master-oscillator power amplifiers,” IEEE J. Quantum Electron. 45, 609–616 (2009).
[CrossRef]

A. Jechow, M. Lichtner, R. Menzel, M. Radziunas, D. Skoczowsky, and A. G. Vladimirov, “Stripe-array diode-laser in an off-axis external cavity: theory and experiment,” Opt. Express 17, 19599–19604 (2009).
[CrossRef]

2008 (4)

K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (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]

A. Jechow, V. Raab, and R. Menzel, “Tunable 6.8 W narrow bandwidth emission from a single-stripe continuous-wave broad-area laser diode in a simple external cavity,” Appl. Opt. 47, 1447–1450 (2008).
[CrossRef]

L. Lang, J. J. Lim, S. Sujecki, and E. C. Larkins, “Improvement of the beam quality of a broad-area diode laser using asymmetric feedback from an external cavity,” Opt. Quantum Electron. 40, 1097–1102 (2008).
[CrossRef]

2007 (3)

A. Jechow, V. Raab, R. Menzel, M. Cenkier, S. Stry, and J. Sacher, “1 W tunable near diffraction limited light from a broad area laser diode in an external cavity with a line width of 1.7 MHz,” Opt. Commun. 277, 161–165 (2007).
[CrossRef]

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
[CrossRef]

2005 (3)

M. Kanskar, T. Earles, T. Goodnough, E. Stiers, D. Botez, and L. J. Mawst, “73% CW power conversion efficiency at 50 W from 970 nm diode laser bars,” Electron. Lett. 41, 245–247 (2005).
[CrossRef]

M. Chi, B. Thestrup, and P. M. Petersen, “Self-injection locking of an extraordinarily wide broad-area diode laser with a 1000 μm-wide emitter,” Opt. Lett. 30, 1147–1149 (2005).
[CrossRef]

A. Vladimirov and D. Turaev, “Model for passive mode-locking in semiconductor lasers,” Phys. Rev. A 72, 33808 (2005).
[CrossRef]

2004 (3)

A. G. Vladimirov, D. Turaev, and G. Kozyreff, “Delay differential equations for mode-locked semiconductor lasers,” Opt. Lett. 29, 1221–1223 (2004).
[CrossRef]

A. Vladimirov and D. Turaev, “A new model for a mode-locked semiconductor laser,” Radiophys. Quantum Electron. 47, 769–776 (2004).
[CrossRef]

B. Thestrup, M. Chi, and P. M. Petersen, “Lateral mode selection in a broad-area laser diode by self-injection locking with a mirror stripe,” Proc. SPIE 5336, 38–44 (2004).
[CrossRef]

2003 (2)

S. Wolff, A. Rodionov, V. Sherstobitov, and H. Fouckhardt, “Fourier-optical transverse mode selection in external-cavity broad-area lasers: experimental and numerical results,” IEEE J. Quantum Electron. 39, 448–458 (2003).
[CrossRef]

A. Vladimirov, G. Kozyreff, and P. Mandel, “Synchronization of weakly stable oscillators and semiconductor laser arrays,” Europhys. Lett. 61, 613–619 (2003).
[CrossRef]

2001 (1)

G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Dynamics of a semiconductor laser array with delayed global coupling,” Phys. Rev. E 64, 16613–16625 (2001).
[CrossRef]

2000 (1)

G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Global coupling with time delay in an array of semiconductor lasers,” Phys. Rev. Lett. 85, 3809–3812 (2000).
[CrossRef]

1998 (2)

K. Iida, H. Horiuchi, O. Matoba, T. Omatsu, T. Shimura, and K. Kuroda, “Injection locking of a broad-area diode laser through a double phase-conjugate mirror,” Opt. Commun. 146, 6–10 (1998).
[CrossRef]

A. Vladimirov, “Bifurcation analysis of a bidirectional class B laser,” Opt. Commun. 149, 67–72 (1998).
[CrossRef]

1989 (1)

L. Goldberg and J. Weller, “Narrow lobe emission of high power broad stripe laser in external resonator cavity,” Electron. Lett. 25, 112–114 (1989).
[CrossRef]

Adamiec, P.

K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (2008).
[CrossRef]

Babushkin, I.

I. Babushkin, U. Bandelow, and A. G. Vladimirov, “Rotational symmetry breaking in small-area circular vertical cavity surface emitting lasers,” Opt. Commun. 284, 1299–1302 (2011).
[CrossRef]

Bandelow, U.

I. Babushkin, U. Bandelow, and A. G. Vladimirov, “Rotational symmetry breaking in small-area circular vertical cavity surface emitting lasers,” Opt. Commun. 284, 1299–1302 (2011).
[CrossRef]

M. Spreemann, M. Lichtner, M. Radziunas, U. Bandelow, and H. Wenzel, “Measurement and simulation of distributed-feedback tapered master-oscillator power amplifiers,” IEEE J. Quantum Electron. 45, 609–616 (2009).
[CrossRef]

Berube, M.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[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.

M. Kanskar, T. Earles, T. Goodnough, E. Stiers, D. Botez, and L. J. Mawst, “73% CW power conversion efficiency at 50 W from 970 nm diode laser bars,” Electron. Lett. 41, 245–247 (2005).
[CrossRef]

Brown, D.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Brox, O.

H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
[CrossRef]

Bugge, F.

K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (2008).
[CrossRef]

H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
[CrossRef]

Bullock, R.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Cenkier, M.

A. Jechow, V. Raab, R. Menzel, M. Cenkier, S. Stry, and J. Sacher, “1 W tunable near diffraction limited light from a broad area laser diode in an external cavity with a line width of 1.7 MHz,” Opt. Commun. 277, 161–165 (2007).
[CrossRef]

Chi, M.

M. Chi, B. Thestrup, and P. M. Petersen, “Self-injection locking of an extraordinarily wide broad-area diode laser with a 1000 μm-wide emitter,” Opt. Lett. 30, 1147–1149 (2005).
[CrossRef]

B. Thestrup, M. Chi, and P. M. Petersen, “Lateral mode selection in a broad-area laser diode by self-injection locking with a mirror stripe,” Proc. SPIE 5336, 38–44 (2004).
[CrossRef]

Chyr, I.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Crum, T.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Earles, T.

M. Kanskar, T. Earles, T. Goodnough, E. Stiers, D. Botez, and L. J. Mawst, “73% CW power conversion efficiency at 50 W from 970 nm diode laser bars,” Electron. Lett. 41, 245–247 (2005).
[CrossRef]

Einfeldt, S.

K. J. Paschke, S. Einfeldt, A. Ginolas, K. Haeusler, P. Ressel, B. Sumpf, H. Wenzel, and G. Erbert, “15 W reliable operation of 96 μm aperture broad-area diode lasers emitting at 980 nm,” in CLEO/QELS Conference and Photonic Applications Systems Technologies, OSA Technical Digest (Optical Society of America, 2008), paper CMN4.

Engelborghs, K.

K. Engelborghs, T. Luzyanina, and G. Samaey, “DDE-biftool v.2.00: a MATLAB package for bifurcation analysis of delay differential equations,” Tech. Rep. TW-330 (Katholieke Universiteit Leuven, Department of Computer Science, Leuven, Belgium, 2001).

Erbert, G.

K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (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]

H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
[CrossRef]

K. J. Paschke, S. Einfeldt, A. Ginolas, K. Haeusler, P. Ressel, B. Sumpf, H. Wenzel, and G. Erbert, “15 W reliable operation of 96 μm aperture broad-area diode lasers emitting at 980 nm,” in CLEO/QELS Conference and Photonic Applications Systems Technologies, OSA Technical Digest (Optical Society of America, 2008), paper CMN4.

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, V. Z. Tronciu, M. Lichtner, K. Paschke, and H. Wenzel, “Experimental and numerical study of distributed-Bragg-reflector tapered lasers,” Appl. Phys. B 99, 209–214 (2010).
[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]

Fouckhardt, H.

S. Wolff, A. Rodionov, V. Sherstobitov, and H. Fouckhardt, “Fourier-optical transverse mode selection in external-cavity broad-area lasers: experimental and numerical results,” IEEE J. Quantum Electron. 39, 448–458 (2003).
[CrossRef]

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]

K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (2008).
[CrossRef]

H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
[CrossRef]

Ginolas, A.

H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
[CrossRef]

K. J. Paschke, S. Einfeldt, A. Ginolas, K. Haeusler, P. Ressel, B. Sumpf, H. Wenzel, and G. Erbert, “15 W reliable operation of 96 μm aperture broad-area diode lasers emitting at 980 nm,” in CLEO/QELS Conference and Photonic Applications Systems Technologies, OSA Technical Digest (Optical Society of America, 2008), paper CMN4.

Goldberg, L.

L. Goldberg and J. Weller, “Narrow lobe emission of high power broad stripe laser in external resonator cavity,” Electron. Lett. 25, 112–114 (1989).
[CrossRef]

Goodnough, T.

M. Kanskar, T. Earles, T. Goodnough, E. Stiers, D. Botez, and L. J. Mawst, “73% CW power conversion efficiency at 50 W from 970 nm diode laser bars,” Electron. Lett. 41, 245–247 (2005).
[CrossRef]

Haeusler, K.

K. J. Paschke, S. Einfeldt, A. Ginolas, K. Haeusler, P. Ressel, B. Sumpf, H. Wenzel, and G. Erbert, “15 W reliable operation of 96 μm aperture broad-area diode lasers emitting at 980 nm,” in CLEO/QELS Conference and Photonic Applications Systems Technologies, OSA Technical Digest (Optical Society of America, 2008), paper CMN4.

Harrison, J.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Hasler, K.-H.

K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (2008).
[CrossRef]

Horiuchi, H.

K. Iida, H. Horiuchi, O. Matoba, T. Omatsu, T. Shimura, and K. Kuroda, “Injection locking of a broad-area diode laser through a double phase-conjugate mirror,” Opt. Commun. 146, 6–10 (1998).
[CrossRef]

Hu, D.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Iida, K.

K. Iida, H. Horiuchi, O. Matoba, T. Omatsu, T. Shimura, and K. Kuroda, “Injection locking of a broad-area diode laser through a double phase-conjugate mirror,” Opt. Commun. 146, 6–10 (1998).
[CrossRef]

Jechow, A.

Jin, X.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

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).
[CrossRef]

Kanskar, M.

M. Kanskar, T. Earles, T. Goodnough, E. Stiers, D. Botez, and L. J. Mawst, “73% CW power conversion efficiency at 50 W from 970 nm diode laser bars,” Electron. Lett. 41, 245–247 (2005).
[CrossRef]

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).
[CrossRef]

Knauer, A.

H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
[CrossRef]

Kozyreff, G.

A. Pimenov, G. Kozyreff, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical analysis of a multi-stripe laser array with external off-axis feedback,” Proc. SPIE 8432, 843212 (2012).
[CrossRef]

A. G. Vladimirov, D. Turaev, and G. Kozyreff, “Delay differential equations for mode-locked semiconductor lasers,” Opt. Lett. 29, 1221–1223 (2004).
[CrossRef]

A. Vladimirov, G. Kozyreff, and P. Mandel, “Synchronization of weakly stable oscillators and semiconductor laser arrays,” Europhys. Lett. 61, 613–619 (2003).
[CrossRef]

G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Dynamics of a semiconductor laser array with delayed global coupling,” Phys. Rev. E 64, 16613–16625 (2001).
[CrossRef]

G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Global coupling with time delay in an array of semiconductor lasers,” Phys. Rev. Lett. 85, 3809–3812 (2000).
[CrossRef]

Kuroda, K.

K. Iida, H. Horiuchi, O. Matoba, T. Omatsu, T. Shimura, and K. Kuroda, “Injection locking of a broad-area diode laser through a double phase-conjugate mirror,” Opt. Commun. 146, 6–10 (1998).
[CrossRef]

Lang, L.

L. Lang, J. J. Lim, S. Sujecki, and E. C. Larkins, “Improvement of the beam quality of a broad-area diode laser using asymmetric feedback from an external cavity,” Opt. Quantum Electron. 40, 1097–1102 (2008).
[CrossRef]

Larkins, E. C.

L. Lang, J. J. Lim, S. Sujecki, and E. C. Larkins, “Improvement of the beam quality of a broad-area diode laser using asymmetric feedback from an external cavity,” Opt. Quantum Electron. 40, 1097–1102 (2008).
[CrossRef]

Li, H.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Lichtner, M.

M. Lichtner, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical investigation of striped and non-striped broad area lasers with off-axis feedback,” IEEE J. Quantum Electron. 48, 353–360 (2012).
[CrossRef]

C. Fiebig, V. Z. Tronciu, M. Lichtner, K. Paschke, and H. Wenzel, “Experimental and numerical study of distributed-Bragg-reflector tapered lasers,” Appl. Phys. B 99, 209–214 (2010).
[CrossRef]

M. Spreemann, M. Lichtner, M. Radziunas, U. Bandelow, and H. Wenzel, “Measurement and simulation of distributed-feedback tapered master-oscillator power amplifiers,” IEEE J. Quantum Electron. 45, 609–616 (2009).
[CrossRef]

A. Jechow, M. Lichtner, R. Menzel, M. Radziunas, D. Skoczowsky, and A. G. Vladimirov, “Stripe-array diode-laser in an off-axis external cavity: theory and experiment,” Opt. Express 17, 19599–19604 (2009).
[CrossRef]

Lim, J. J.

L. Lang, J. J. Lim, S. Sujecki, and E. C. Larkins, “Improvement of the beam quality of a broad-area diode laser using asymmetric feedback from an external cavity,” Opt. Quantum Electron. 40, 1097–1102 (2008).
[CrossRef]

Luzyanina, T.

K. Engelborghs, T. Luzyanina, and G. Samaey, “DDE-biftool v.2.00: a MATLAB package for bifurcation analysis of delay differential equations,” Tech. Rep. TW-330 (Katholieke Universiteit Leuven, Department of Computer Science, Leuven, Belgium, 2001).

Mandel, P.

A. Vladimirov, G. Kozyreff, and P. Mandel, “Synchronization of weakly stable oscillators and semiconductor laser arrays,” Europhys. Lett. 61, 613–619 (2003).
[CrossRef]

G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Dynamics of a semiconductor laser array with delayed global coupling,” Phys. Rev. E 64, 16613–16625 (2001).
[CrossRef]

G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Global coupling with time delay in an array of semiconductor lasers,” Phys. Rev. Lett. 85, 3809–3812 (2000).
[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]

Matoba, O.

K. Iida, H. Horiuchi, O. Matoba, T. Omatsu, T. Shimura, and K. Kuroda, “Injection locking of a broad-area diode laser through a double phase-conjugate mirror,” Opt. Commun. 146, 6–10 (1998).
[CrossRef]

Mawst, L. J.

M. Kanskar, T. Earles, T. Goodnough, E. Stiers, D. Botez, and L. J. Mawst, “73% CW power conversion efficiency at 50 W from 970 nm diode laser bars,” Electron. Lett. 41, 245–247 (2005).
[CrossRef]

Menzel, R.

Miller, R.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Mott, J.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Nguyen, T.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Omatsu, T.

K. Iida, H. Horiuchi, O. Matoba, T. Omatsu, T. Shimura, and K. Kuroda, “Injection locking of a broad-area diode laser through a double phase-conjugate mirror,” Opt. Commun. 146, 6–10 (1998).
[CrossRef]

Paschke, K.

C. Fiebig, V. Z. Tronciu, M. Lichtner, K. Paschke, and H. Wenzel, “Experimental and numerical study of distributed-Bragg-reflector tapered lasers,” Appl. Phys. B 99, 209–214 (2010).
[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]

H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
[CrossRef]

Paschke, K. J.

K. J. Paschke, S. Einfeldt, A. Ginolas, K. Haeusler, P. Ressel, B. Sumpf, H. Wenzel, and G. Erbert, “15 W reliable operation of 96 μm aperture broad-area diode lasers emitting at 980 nm,” in CLEO/QELS Conference and Photonic Applications Systems Technologies, OSA Technical Digest (Optical Society of America, 2008), paper CMN4.

Petersen, P. M.

M. Chi, B. Thestrup, and P. M. Petersen, “Self-injection locking of an extraordinarily wide broad-area diode laser with a 1000 μm-wide emitter,” Opt. Lett. 30, 1147–1149 (2005).
[CrossRef]

B. Thestrup, M. Chi, and P. M. Petersen, “Lateral mode selection in a broad-area laser diode by self-injection locking with a mirror stripe,” Proc. SPIE 5336, 38–44 (2004).
[CrossRef]

Pimenov, A.

A. Pimenov, G. Kozyreff, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical analysis of a multi-stripe laser array with external off-axis feedback,” Proc. SPIE 8432, 843212 (2012).
[CrossRef]

Raab, V.

A. Jechow, V. Raab, and R. Menzel, “Tunable 6.8 W narrow bandwidth emission from a single-stripe continuous-wave broad-area laser diode in a simple external cavity,” Appl. Opt. 47, 1447–1450 (2008).
[CrossRef]

A. Jechow, V. Raab, R. Menzel, M. Cenkier, S. Stry, and J. Sacher, “1 W tunable near diffraction limited light from a broad area laser diode in an external cavity with a line width of 1.7 MHz,” Opt. Commun. 277, 161–165 (2007).
[CrossRef]

Radziunas, M.

A. Jechow, M. Lichtner, R. Menzel, M. Radziunas, D. Skoczowsky, and A. G. Vladimirov, “Stripe-array diode-laser in an off-axis external cavity: theory and experiment,” Opt. Express 17, 19599–19604 (2009).
[CrossRef]

M. Spreemann, M. Lichtner, M. Radziunas, U. Bandelow, and H. Wenzel, “Measurement and simulation of distributed-feedback tapered master-oscillator power amplifiers,” IEEE J. Quantum Electron. 45, 609–616 (2009).
[CrossRef]

Reinhardt, F.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Ressel, P.

K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (2008).
[CrossRef]

H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
[CrossRef]

K. J. Paschke, S. Einfeldt, A. Ginolas, K. Haeusler, P. Ressel, B. Sumpf, H. Wenzel, and G. Erbert, “15 W reliable operation of 96 μm aperture broad-area diode lasers emitting at 980 nm,” in CLEO/QELS Conference and Photonic Applications Systems Technologies, OSA Technical Digest (Optical Society of America, 2008), paper CMN4.

Rodionov, A.

S. Wolff, A. Rodionov, V. Sherstobitov, and H. Fouckhardt, “Fourier-optical transverse mode selection in external-cavity broad-area lasers: experimental and numerical results,” IEEE J. Quantum Electron. 39, 448–458 (2003).
[CrossRef]

Sacher, J.

A. Jechow, V. Raab, R. Menzel, M. Cenkier, S. Stry, and J. Sacher, “1 W tunable near diffraction limited light from a broad area laser diode in an external cavity with a line width of 1.7 MHz,” Opt. Commun. 277, 161–165 (2007).
[CrossRef]

Samaey, G.

K. Engelborghs, T. Luzyanina, and G. Samaey, “DDE-biftool v.2.00: a MATLAB package for bifurcation analysis of delay differential equations,” Tech. Rep. TW-330 (Katholieke Universiteit Leuven, Department of Computer Science, Leuven, Belgium, 2001).

Sherstobitov, V.

S. Wolff, A. Rodionov, V. Sherstobitov, and H. Fouckhardt, “Fourier-optical transverse mode selection in external-cavity broad-area lasers: experimental and numerical results,” IEEE J. Quantum Electron. 39, 448–458 (2003).
[CrossRef]

Shimura, T.

K. Iida, H. Horiuchi, O. Matoba, T. Omatsu, T. Shimura, and K. Kuroda, “Injection locking of a broad-area diode laser through a double phase-conjugate mirror,” Opt. Commun. 146, 6–10 (1998).
[CrossRef]

Skoczowsky, D.

Spreemann, M.

M. Spreemann, M. Lichtner, M. Radziunas, U. Bandelow, and H. Wenzel, “Measurement and simulation of distributed-feedback tapered master-oscillator power amplifiers,” IEEE J. Quantum Electron. 45, 609–616 (2009).
[CrossRef]

Srinivasan, R.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Stiers, E.

M. Kanskar, T. Earles, T. Goodnough, E. Stiers, D. Botez, and L. J. Mawst, “73% CW power conversion efficiency at 50 W from 970 nm diode laser bars,” Electron. Lett. 41, 245–247 (2005).
[CrossRef]

Stry, S.

A. Jechow, V. Raab, R. Menzel, M. Cenkier, S. Stry, and J. Sacher, “1 W tunable near diffraction limited light from a broad area laser diode in an external cavity with a line width of 1.7 MHz,” Opt. Commun. 277, 161–165 (2007).
[CrossRef]

Sujecki, S.

L. Lang, J. J. Lim, S. Sujecki, and E. C. Larkins, “Improvement of the beam quality of a broad-area diode laser using asymmetric feedback from an external cavity,” Opt. Quantum Electron. 40, 1097–1102 (2008).
[CrossRef]

Sumpf, B.

K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (2008).
[CrossRef]

K. J. Paschke, S. Einfeldt, A. Ginolas, K. Haeusler, P. Ressel, B. Sumpf, H. Wenzel, and G. Erbert, “15 W reliable operation of 96 μm aperture broad-area diode lasers emitting at 980 nm,” in CLEO/QELS Conference and Photonic Applications Systems Technologies, OSA Technical Digest (Optical Society of America, 2008), paper CMN4.

Thestrup, B.

M. Chi, B. Thestrup, and P. M. Petersen, “Self-injection locking of an extraordinarily wide broad-area diode laser with a 1000 μm-wide emitter,” Opt. Lett. 30, 1147–1149 (2005).
[CrossRef]

B. Thestrup, M. Chi, and P. M. Petersen, “Lateral mode selection in a broad-area laser diode by self-injection locking with a mirror stripe,” Proc. SPIE 5336, 38–44 (2004).
[CrossRef]

Towe, T.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Trankle, G.

K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (2008).
[CrossRef]

Tronciu, V. Z.

M. Lichtner, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical investigation of striped and non-striped broad area lasers with off-axis feedback,” IEEE J. Quantum Electron. 48, 353–360 (2012).
[CrossRef]

A. Pimenov, G. Kozyreff, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical analysis of a multi-stripe laser array with external off-axis feedback,” Proc. SPIE 8432, 843212 (2012).
[CrossRef]

C. Fiebig, V. Z. Tronciu, M. Lichtner, K. Paschke, and H. Wenzel, “Experimental and numerical study of distributed-Bragg-reflector tapered lasers,” Appl. Phys. B 99, 209–214 (2010).
[CrossRef]

Truchan, T.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Turaev, D.

A. Vladimirov and D. Turaev, “Model for passive mode-locking in semiconductor lasers,” Phys. Rev. A 72, 33808 (2005).
[CrossRef]

A. G. Vladimirov, D. Turaev, and G. Kozyreff, “Delay differential equations for mode-locked semiconductor lasers,” Opt. Lett. 29, 1221–1223 (2004).
[CrossRef]

A. Vladimirov and D. Turaev, “A new model for a mode-locked semiconductor laser,” Radiophys. Quantum Electron. 47, 769–776 (2004).
[CrossRef]

Vladimirov, A.

A. Vladimirov and D. Turaev, “Model for passive mode-locking in semiconductor lasers,” Phys. Rev. A 72, 33808 (2005).
[CrossRef]

A. Vladimirov and D. Turaev, “A new model for a mode-locked semiconductor laser,” Radiophys. Quantum Electron. 47, 769–776 (2004).
[CrossRef]

A. Vladimirov, G. Kozyreff, and P. Mandel, “Synchronization of weakly stable oscillators and semiconductor laser arrays,” Europhys. Lett. 61, 613–619 (2003).
[CrossRef]

A. Vladimirov, “Bifurcation analysis of a bidirectional class B laser,” Opt. Commun. 149, 67–72 (1998).
[CrossRef]

Vladimirov, A. G.

M. Lichtner, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical investigation of striped and non-striped broad area lasers with off-axis feedback,” IEEE J. Quantum Electron. 48, 353–360 (2012).
[CrossRef]

A. Pimenov, G. Kozyreff, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical analysis of a multi-stripe laser array with external off-axis feedback,” Proc. SPIE 8432, 843212 (2012).
[CrossRef]

I. Babushkin, U. Bandelow, and A. G. Vladimirov, “Rotational symmetry breaking in small-area circular vertical cavity surface emitting lasers,” Opt. Commun. 284, 1299–1302 (2011).
[CrossRef]

A. Jechow, M. Lichtner, R. Menzel, M. Radziunas, D. Skoczowsky, and A. G. Vladimirov, “Stripe-array diode-laser in an off-axis external cavity: theory and experiment,” Opt. Express 17, 19599–19604 (2009).
[CrossRef]

A. G. Vladimirov, D. Turaev, and G. Kozyreff, “Delay differential equations for mode-locked semiconductor lasers,” Opt. Lett. 29, 1221–1223 (2004).
[CrossRef]

G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Dynamics of a semiconductor laser array with delayed global coupling,” Phys. Rev. E 64, 16613–16625 (2001).
[CrossRef]

G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Global coupling with time delay in an array of semiconductor lasers,” Phys. Rev. Lett. 85, 3809–3812 (2000).
[CrossRef]

Weller, J.

L. Goldberg and J. Weller, “Narrow lobe emission of high power broad stripe laser in external resonator cavity,” Electron. Lett. 25, 112–114 (1989).
[CrossRef]

Wenzel, H.

C. Fiebig, V. Z. Tronciu, M. Lichtner, K. Paschke, and H. Wenzel, “Experimental and numerical study of distributed-Bragg-reflector tapered lasers,” Appl. Phys. B 99, 209–214 (2010).
[CrossRef]

M. Spreemann, M. Lichtner, M. Radziunas, U. Bandelow, and H. Wenzel, “Measurement and simulation of distributed-feedback tapered master-oscillator power amplifiers,” IEEE J. Quantum Electron. 45, 609–616 (2009).
[CrossRef]

K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (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]

H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
[CrossRef]

K. J. Paschke, S. Einfeldt, A. Ginolas, K. Haeusler, P. Ressel, B. Sumpf, H. Wenzel, and G. Erbert, “15 W reliable operation of 96 μm aperture broad-area diode lasers emitting at 980 nm,” in CLEO/QELS Conference and Photonic Applications Systems Technologies, OSA Technical Digest (Optical Society of America, 2008), paper CMN4.

Wolak, E.

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

Wolff, S.

S. Wolff, A. Rodionov, V. Sherstobitov, and H. Fouckhardt, “Fourier-optical transverse mode selection in external-cavity broad-area lasers: experimental and numerical results,” IEEE J. Quantum Electron. 39, 448–458 (2003).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. B (1)

C. Fiebig, V. Z. Tronciu, M. Lichtner, K. Paschke, and H. Wenzel, “Experimental and numerical study of distributed-Bragg-reflector tapered lasers,” Appl. Phys. B 99, 209–214 (2010).
[CrossRef]

Electron. Lett. (5)

M. Kanskar, T. Earles, T. Goodnough, E. Stiers, D. Botez, and L. J. Mawst, “73% CW power conversion efficiency at 50 W from 970 nm diode laser bars,” Electron. Lett. 41, 245–247 (2005).
[CrossRef]

H. Li, I. Chyr, X. Jin, F. Reinhardt, T. Towe, D. Brown, T. Nguyen, M. Berube, T. Truchan, D. Hu, R. Miller, R. Srinivasan, T. Crum, E. Wolak, R. Bullock, J. Mott, and J. Harrison, “>700  W continuous-wave output power from single laser diode bar,” Electron. Lett. 43, 27–28 (2007).
[CrossRef]

H. Wenzel, K. Paschke, O. Brox, F. Bugge, J. Fricke, A. Ginolas, A. Knauer, P. Ressel, and G. Erbert, “10 W continuous-wave monolithically integrated master-oscillator power-amplifier,” Electron. Lett. 43, 160–161 (2007).
[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]

L. Goldberg and J. Weller, “Narrow lobe emission of high power broad stripe laser in external resonator cavity,” Electron. Lett. 25, 112–114 (1989).
[CrossRef]

Europhys. Lett. (1)

A. Vladimirov, G. Kozyreff, and P. Mandel, “Synchronization of weakly stable oscillators and semiconductor laser arrays,” Europhys. Lett. 61, 613–619 (2003).
[CrossRef]

IEEE J. Quantum Electron. (3)

S. Wolff, A. Rodionov, V. Sherstobitov, and H. Fouckhardt, “Fourier-optical transverse mode selection in external-cavity broad-area lasers: experimental and numerical results,” IEEE J. Quantum Electron. 39, 448–458 (2003).
[CrossRef]

M. Spreemann, M. Lichtner, M. Radziunas, U. Bandelow, and H. Wenzel, “Measurement and simulation of distributed-feedback tapered master-oscillator power amplifiers,” IEEE J. Quantum Electron. 45, 609–616 (2009).
[CrossRef]

M. Lichtner, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical investigation of striped and non-striped broad area lasers with off-axis feedback,” IEEE J. Quantum Electron. 48, 353–360 (2012).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

K.-H. Hasler, B. Sumpf, P. Adamiec, F. Bugge, J. Fricke, P. Ressel, H. Wenzel, G. Erbert, and G. Trankle, “5 W DBR tapered lasers emitting at 1060 nm with a narrow spectral linewidth and a nearly diffraction-limited beam quality,” IEEE Photon. Technol. Lett. 20, 1648–1650 (2008).
[CrossRef]

Opt. Commun. (4)

A. Vladimirov, “Bifurcation analysis of a bidirectional class B laser,” Opt. Commun. 149, 67–72 (1998).
[CrossRef]

K. Iida, H. Horiuchi, O. Matoba, T. Omatsu, T. Shimura, and K. Kuroda, “Injection locking of a broad-area diode laser through a double phase-conjugate mirror,” Opt. Commun. 146, 6–10 (1998).
[CrossRef]

A. Jechow, V. Raab, R. Menzel, M. Cenkier, S. Stry, and J. Sacher, “1 W tunable near diffraction limited light from a broad area laser diode in an external cavity with a line width of 1.7 MHz,” Opt. Commun. 277, 161–165 (2007).
[CrossRef]

I. Babushkin, U. Bandelow, and A. G. Vladimirov, “Rotational symmetry breaking in small-area circular vertical cavity surface emitting lasers,” Opt. Commun. 284, 1299–1302 (2011).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Opt. Quantum Electron. (1)

L. Lang, J. J. Lim, S. Sujecki, and E. C. Larkins, “Improvement of the beam quality of a broad-area diode laser using asymmetric feedback from an external cavity,” Opt. Quantum Electron. 40, 1097–1102 (2008).
[CrossRef]

Phys. Rev. A (1)

A. Vladimirov and D. Turaev, “Model for passive mode-locking in semiconductor lasers,” Phys. Rev. A 72, 33808 (2005).
[CrossRef]

Phys. Rev. E (1)

G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Dynamics of a semiconductor laser array with delayed global coupling,” Phys. Rev. E 64, 16613–16625 (2001).
[CrossRef]

Phys. Rev. Lett. (1)

G. Kozyreff, A. G. Vladimirov, and P. Mandel, “Global coupling with time delay in an array of semiconductor lasers,” Phys. Rev. Lett. 85, 3809–3812 (2000).
[CrossRef]

Proc. SPIE (2)

B. Thestrup, M. Chi, and P. M. Petersen, “Lateral mode selection in a broad-area laser diode by self-injection locking with a mirror stripe,” Proc. SPIE 5336, 38–44 (2004).
[CrossRef]

A. Pimenov, G. Kozyreff, V. Z. Tronciu, and A. G. Vladimirov, “Theoretical analysis of a multi-stripe laser array with external off-axis feedback,” Proc. SPIE 8432, 843212 (2012).
[CrossRef]

Radiophys. Quantum Electron. (1)

A. Vladimirov and D. Turaev, “A new model for a mode-locked semiconductor laser,” Radiophys. Quantum Electron. 47, 769–776 (2004).
[CrossRef]

Other (4)

Y. Khanin, ed., Fundamentals of Laser Dynamics (Cambridge International Science Publishing, 2004).

K. Engelborghs, T. Luzyanina, and G. Samaey, “DDE-biftool v.2.00: a MATLAB package for bifurcation analysis of delay differential equations,” Tech. Rep. TW-330 (Katholieke Universiteit Leuven, Department of Computer Science, Leuven, Belgium, 2001).

K. J. Paschke, S. Einfeldt, A. Ginolas, K. Haeusler, P. Ressel, B. Sumpf, H. Wenzel, and G. Erbert, “15 W reliable operation of 96 μm aperture broad-area diode lasers emitting at 980 nm,” in CLEO/QELS Conference and Photonic Applications Systems Technologies, OSA Technical Digest (Optical Society of America, 2008), paper CMN4.

D. Botez and D. R. Scifres, eds., Diode Laser Arrays (Cambridge University, 1994).

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Figures (8)

Fig. 1.
Fig. 1.

Schematic view of a BAL with off-axis feedback.

Fig. 2.
Fig. 2.

Dependence of the ratio κH=|H0|/G0 on the tilt angle α. The main peaks are located at α2.8, 5.6, 8.4 deg.

Fig. 3.
Fig. 3.

(a) Bifurcation tree obtained by numerical integration of the model equations [Eqs. (11)–(13)] (b) with help of a DDE-biftool software package. Linewidth enhancement factor αH is used as a bifurcation parameter. Black and gray lines indicate CW and periodic regimes, respectively. Solid (dashed) lines correspond to stable (unstable) solutions. H indicates an Andronov–Hopf bifurcation point. Parameter values are T=2.5, γ=0.065, Γ=2/T, κ1=0.95, κ2=0.9, G0=0.07, and κH=0.8.

Fig. 4.
Fig. 4.

Field amplitude time traces for different regimes. (a) P1: periodic regime with one peak, G0=0.07, κH=0.8, and αH=8; (b) P2: periodic regime with two peaks, G0=1, κH=0.001, and αH=2.2; (c) A: aperiodic regime, G0=1, κH=0.001, and αH=3.2; (d) PM: multimode periodic regime, G0=1, κH=0.001, and αH=4.6. Other parameter values are as in Fig. 3.

Fig. 5.
Fig. 5.

Bifurcation diagrams obtained by direct numerical integration of Eqs. (11)–(13) (a) and with the help of the software package DDE-biftool. G0=1 and κH=0.001. Other parameter values are as in Fig. 3. (a) Numerical integration shows how various regular and irregular regimes (see Fig. 4) alternate with changing αH. P2, periodic regime with two peaks; A, aperiodic regime; PM, multimode periodic regime. (b) DDE-Biftool allows to track CW (black lines) and periodic (gray lines) regimes and analyze their stability and bifurcations. Notations are the same as in Fig. 3(b). U: fold bifurcation of a limit cycle. T: torus bifurcation. P: period-doubling bifurcation.

Fig. 6.
Fig. 6.

Stability domains of CW regimes in the plane of two parameters. (a) G0 and αH, κH=0.1 (dashed), κH=0.8 (solid); (b) κH and αH, G0=1. Other parameter values are as in Fig. 3.

Fig. 7.
Fig. 7.

Stability domains of CW regimes with different field amplitudes |E| on the plane of two parameters, αH and G0; (a) κH=0.1 and (b) κH=0.8. The highest value of the amplitude |E| corresponds to black. Other parameters are as in Fig. 3.

Fig. 8.
Fig. 8.

Periodic antiphase pulsations of the output field amplitudes |A| and |D| in a BAL with two feedback mirrors. G0=0.07, H0=0, αH=0.1, T=2.5, γ=0.065, and Γ=2/T.

Equations (26)

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E=aeikz+iβx+ceikz+iβx+beikziβx+deikziβx.
tn=N(x)γnn|E|2,
tn0=N0γn0[n0(|a|2+|b|2+|c|2+|d|2)+n2cb*+n2*c*b+n2ad*+n2*a*d],
tn2=N2γn2[n2(|a|2+|b|2+|c|2+|d|2)+n0c*b+n0a*d],
tav0za=g(1iαH)2(n0a+n2*d),
tdv0zd=g(1iαH)2(n0d+n2a),
tc+v0zc=g(1iαH)2(n0c+n2*b),
tb+v0zb=g(1iαH)2(n0b+n2c),
d(t,l)=0,b(t,0)=κ1d(t,0),c(t,0)=κ1a(t,0),a(t,l)=κ2Γ0teΓ(ts)b(s2Lc0,l)ds,
d(t,l)=κ3Γ0teΓ(ts)c(s2Lc0,l)ds,a(t,l)=κ2Γ0teΓ(ts)b(s2Lc0,l)ds,b(t,0)=κ1d(t,0),c(t,0)=κ1a(t,0),
Γ1tA+A=(1iαH)κ1κ2e(1iαH)GTHTAT,
tG=G0γG|A|2(eG1)(1+κ12eG),
tH=H0γH|A|2H[1iαH2eG(2κ12eGκ12+1)+1+iαH2eG1G(κ12eG+1)],
κ1κ2eG0/γ|H0|γ>1.
Γ1tA+A=κ2κ1e(1iαH)GT[(1iαH)HTAT+DT],
Γ1tD+D=κ3κ1e(1iαH)GT[(1+iαH)HT*DT+AT],
tG=G0γG(|A|2+|D|2)(eG1)(1+κ12eG),
tH=H0DA*(eG1)(κ12eG+1)γH,
a ( t , 0 ) e G α [ a ( t l / v 0 , l ) cosh H α + e i ϕ d ( t l / v 0 , 0 ) sinh H α ] ,
d ( t , 0 ) e G α [ d ( t l / v 0 , l ) cosh H α + e i ϕ a ( t l / v 0 , l ) sinh H α ] ,
b ( t , l ) e G α + [ b ( t l / v 0 , 0 ) cosh H α + + e i ϕ c ( t l / v 0 , 0 ) sinh H α + ] ,
c ( t , l ) e G α + [ c ( t l / v 0 , 0 ) cosh H α + + e i ϕ b ( t l / v 0 , 0 ) sinh H α + ] ,
G + ( t ) = 0 l n 0 ( t z / v 0 , z ) d z , G ( t ) = 0 l n 0 ( t ( l z ) / v 0 , z ) d z , H + ( t ) = 0 l | n 2 ( t z / v 0 , z ) | d z , H ( t ) = 0 l | n 2 ( t ( l z ) / v 0 , z ) | d ζ ,
Γ1τa(t,l)+a(t,l)=κ2b(t2L/c0,l).
Γ1tA+A=κ1κ2e1iα2(GT++GT)eiϕTAT×{sinh1iα2HTcosh1iα2HT++cosh1iα2HTsinh1iα2HT+},
G+GG,H+H|H|.

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