Abstract

Laterally periodic resonators, which can be constructed by use of transversely periodic phase- or amplitude-modulating elements in a cavity, are proposed for stabilization and generation of transversely coherent output from large-area gain. Lasers with periodic resonators have the combined features of conventional cavities and laser arrays. Significant low-order transverse modes and mode discrimination of a sample resonator with intracavity periodic phase elements are investigated numerically by the iteration method. Wave-propagation calculations are carried out by use of a fast Fourier transform, and a modified Prony method is used to evaluate wave functions and losses of transverse modes. Results of numerical calculations are consistent with expectations.

© 2003 Optical Society of America

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2002 (1)

2001 (2)

M. Wrage, P. Glas, and M. Leitner, “Combined phase locking and beam shaping of a multicore fiber laser by structured mirrors,” Opt. Lett. 26, 980–982 (2001).
[CrossRef]

M. Szymanski, J. M. Kubica, and P. Szczepanski, “Theoretical analysis of lateral modes in broad-area semiconductor lasers with profiled reflectivity output facets,” IEEE J. Quantum Electron. 37,430–438 (2001).
[CrossRef]

2000 (2)

Y. Kono, M. Takeoka, K. Uto, A. Uchida, and F. Kannari, “A coherent all-solid-state laser array using the Talbot effect in a three-mirror cavity,” IEEE J. Quantum Electron. 36, 607–614 (2000).
[CrossRef]

M. Wrage, P. Glas, D. Fisher, M. Leitner, D. V. Vysotsky, and A. P. Napartovich, “Phase locking in a multicore fiber laser by means of a Talbot resonator,” Opt. Lett. 25, 1436–1438 (2000).
[CrossRef]

1999 (1)

1998 (1)

R. J. Lang, K. Dzurko, A. A. Hardy, S. Demars, A. Schoenfelder, and D. F. Welch, “Theory of grating-confined broad-area lasers,” IEEE J. Quantum Electron. 34, 2196–2210 (1998).
[CrossRef]

1997 (3)

R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
[CrossRef]

R. J. Pierre, D.W. Mordaunt, H. Injeyan, J. G. Berg, R. C. Hilyard, M. E. Weber, M. G. Wickham, G. M. Harpole, and R. Senn, “Diode array pumped kilowatt laser,” IEEE. J. Sel. Top. Quantum Electron. 3, 53–58 (1997).
[CrossRef]

A. Desfarges-Berthelemot, B. Colombeau, M. Vampouille, P. J. Devilder, C. Froehly, and S. Monneret, “Adjustable phase-locking of two Nd:Glass ring laser beams,” Opt. Commun. 141, 123–126 (1997).
[CrossRef]

1996 (6)

J. R. Marciante and G. P. Agrawal, “Lateral spatial effects of feedback in gain-guided and broad-area semiconductor lasers,” IEEE J. Quantum Electron. 32, 1630–1635 (1996).
[CrossRef]

B. Mroziewicz, “Broad-area semiconductor lasers with spatially modulated reflectivity of mirrors,” Electron. Lett. 32, 329–330 (1996).
[CrossRef]

M. V. Berry and S. Klein, “Integer, fractional and fractal Talbot effects,” J. Mod. Opt. 43, 2139–2164 (1996).
[CrossRef]

D. Auerbach and J. A. Yorke, “Controlling chaotic fluctuations in semiconductor laser arrays,” J. Opt. Soc. Am. B 13, 2178–2186 (1996).
[CrossRef]

S. Menard, M. Vampouille, B. Colombeau, and C. Froehly, “Highly efficient phase locking and extracavity coherent combination of two diode-pumped Nd:YAG laser beams,” Opt. Lett. 21, 1996–1998 (1996).
[CrossRef] [PubMed]

D. Stryckman, G. Rousseau, M. D’Auteuil, and N. McCarthy, “Improvement of the lateral-mode discrimination of broad-area diode lasers with a profiled reflectivity output facet,” Appl. Opt. 35, 5955–5959 (1996).
[CrossRef] [PubMed]

1995 (1)

1994 (2)

1992 (2)

M. Oka, H. Masuda, Y. Kaneda, and S. Kubota, “Laser-diode-pumped phase-locked Nd:YAG laser arrays,” IEEE J. Quantum Electron. 28, 1142–1147 (1992).
[CrossRef]

K. M. Abramski, A. D. Colley, H. J. Baker, and D. R. Hall, “Phase-locked CO2 laser array using diagonal coupling of waveguide channels,” Appl. Phys. Lett. 60, 530–532 (1992).
[CrossRef]

1991 (1)

1986 (1)

M. Cronin-Golomb, A. Yariv, and I. Ury, “Coherent coupling of diode lasers by phase conjugation,” Appl. Phys. Lett. 48, 1240–1242 (1986).
[CrossRef]

1984 (2)

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); Appl. Phys. Lett. 44, 935 (erratum) (1984).
[CrossRef]

E. Kapon, J. Katz, and A. Yariv, “Supermode analysis of phase-locked semiconductor laser arrays,” Opt. Lett. 10, 125–127 (1984); Opt. Lett. 10, 318 (erratum) (1984).
[CrossRef]

1974 (1)

E. A. Sziklas and A. E. Siegman, “Diffraction calculations using fast Fourier transform methods,” Proc. IEEE 62, 410–412 (1974).
[CrossRef]

1970 (1)

1961 (1)

A. G. Fox and T. Li, “Resonant modes in a maser interferometer,” Bell Syst. Tech. J. 40, 453–488 (1961).

Abramski, K. M.

K. M. Abramski, A. D. Colley, H. J. Baker, and D. R. Hall, “Phase-locked CO2 laser array using diagonal coupling of waveguide channels,” Appl. Phys. Lett. 60, 530–532 (1992).
[CrossRef]

Ackley, D. E.

J. K. Butler, D. E. Ackley, and D. Botez, “Coupled-mode analysis of phase-locked injection laser arrays,” Appl. Phys. Lett. 44, 293–295 (1984); Appl. Phys. Lett. 44, 935 (erratum) (1984).
[CrossRef]

Agrawal, G. P.

J. R. Marciante and G. P. Agrawal, “Lateral spatial effects of feedback in gain-guided and broad-area semiconductor lasers,” IEEE J. Quantum Electron. 32, 1630–1635 (1996).
[CrossRef]

Auerbach, D.

Baker, H. J.

K. M. Abramski, A. D. Colley, H. J. Baker, and D. R. Hall, “Phase-locked CO2 laser array using diagonal coupling of waveguide channels,” Appl. Phys. Lett. 60, 530–532 (1992).
[CrossRef]

Beach, R. J.

Berg, J. G.

R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
[CrossRef]

R. J. Pierre, D.W. Mordaunt, H. Injeyan, J. G. Berg, R. C. Hilyard, M. E. Weber, M. G. Wickham, G. M. Harpole, and R. Senn, “Diode array pumped kilowatt laser,” IEEE. J. Sel. Top. Quantum Electron. 3, 53–58 (1997).
[CrossRef]

Berry, M. V.

M. V. Berry and S. Klein, “Integer, fractional and fractal Talbot effects,” J. Mod. Opt. 43, 2139–2164 (1996).
[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); Appl. Phys. Lett. 44, 935 (erratum) (1984).
[CrossRef]

D. Botez and D. R. Scifres, Diode Laser Arrays (Cambridge U. Press, Cambridge, UK, 1994), Chap. 1.
[CrossRef]

Brasure, L. D.

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); Appl. Phys. Lett. 44, 935 (erratum) (1984).
[CrossRef]

Chen, D.

Colley, A. D.

K. M. Abramski, A. D. Colley, H. J. Baker, and D. R. Hall, “Phase-locked CO2 laser array using diagonal coupling of waveguide channels,” Appl. Phys. Lett. 60, 530–532 (1992).
[CrossRef]

Colombeau, B.

A. Desfarges-Berthelemot, B. Colombeau, M. Vampouille, P. J. Devilder, C. Froehly, and S. Monneret, “Adjustable phase-locking of two Nd:Glass ring laser beams,” Opt. Commun. 141, 123–126 (1997).
[CrossRef]

S. Menard, M. Vampouille, B. Colombeau, and C. Froehly, “Highly efficient phase locking and extracavity coherent combination of two diode-pumped Nd:YAG laser beams,” Opt. Lett. 21, 1996–1998 (1996).
[CrossRef] [PubMed]

Cronin-Golomb, M.

M. Cronin-Golomb, A. Yariv, and I. Ury, “Coherent coupling of diode lasers by phase conjugation,” Appl. Phys. Lett. 48, 1240–1242 (1986).
[CrossRef]

D’Auteuil, M.

Dai, K.

Davidson, N.

R. Oron, N. Davidson, A. A. Friesem, and E. Hasman, “Transverse mode shaping and selection in laser resonators,” in Progress in Optics, E. Wolf, ed. (Elsevier, New York, 2001), Vol. II.

Demars, S.

R. J. Lang, K. Dzurko, A. A. Hardy, S. Demars, A. Schoenfelder, and D. F. Welch, “Theory of grating-confined broad-area lasers,” IEEE J. Quantum Electron. 34, 2196–2210 (1998).
[CrossRef]

Desfarges-Berthelemot, A.

A. Desfarges-Berthelemot, B. Colombeau, M. Vampouille, P. J. Devilder, C. Froehly, and S. Monneret, “Adjustable phase-locking of two Nd:Glass ring laser beams,” Opt. Commun. 141, 123–126 (1997).
[CrossRef]

Devilder, P. J.

A. Desfarges-Berthelemot, B. Colombeau, M. Vampouille, P. J. Devilder, C. Froehly, and S. Monneret, “Adjustable phase-locking of two Nd:Glass ring laser beams,” Opt. Commun. 141, 123–126 (1997).
[CrossRef]

Dzurko, K.

R. J. Lang, K. Dzurko, A. A. Hardy, S. Demars, A. Schoenfelder, and D. F. Welch, “Theory of grating-confined broad-area lasers,” IEEE J. Quantum Electron. 34, 2196–2210 (1998).
[CrossRef]

Engler, T.

R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
[CrossRef]

Feit, M. D.

Fisher, D.

Fox, A. G.

A. G. Fox and T. Li, “Resonant modes in a maser interferometer,” Bell Syst. Tech. J. 40, 453–488 (1961).

Friesem, A. A.

R. Oron, N. Davidson, A. A. Friesem, and E. Hasman, “Transverse mode shaping and selection in laser resonators,” in Progress in Optics, E. Wolf, ed. (Elsevier, New York, 2001), Vol. II.

Froehly, C.

A. Desfarges-Berthelemot, B. Colombeau, M. Vampouille, P. J. Devilder, C. Froehly, and S. Monneret, “Adjustable phase-locking of two Nd:Glass ring laser beams,” Opt. Commun. 141, 123–126 (1997).
[CrossRef]

S. Menard, M. Vampouille, B. Colombeau, and C. Froehly, “Highly efficient phase locking and extracavity coherent combination of two diode-pumped Nd:YAG laser beams,” Opt. Lett. 21, 1996–1998 (1996).
[CrossRef] [PubMed]

Glas, P.

Hall, D.

R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
[CrossRef]

Hall, D. R.

K. M. Abramski, A. D. Colley, H. J. Baker, and D. R. Hall, “Phase-locked CO2 laser array using diagonal coupling of waveguide channels,” Appl. Phys. Lett. 60, 530–532 (1992).
[CrossRef]

Hardy, A. A.

R. J. Lang, K. Dzurko, A. A. Hardy, S. Demars, A. Schoenfelder, and D. F. Welch, “Theory of grating-confined broad-area lasers,” IEEE J. Quantum Electron. 34, 2196–2210 (1998).
[CrossRef]

Harpole, G. M.

R. J. Pierre, D.W. Mordaunt, H. Injeyan, J. G. Berg, R. C. Hilyard, M. E. Weber, M. G. Wickham, G. M. Harpole, and R. Senn, “Diode array pumped kilowatt laser,” IEEE. J. Sel. Top. Quantum Electron. 3, 53–58 (1997).
[CrossRef]

R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
[CrossRef]

Hasman, E.

R. Oron, N. Davidson, A. A. Friesem, and E. Hasman, “Transverse mode shaping and selection in laser resonators,” in Progress in Optics, E. Wolf, ed. (Elsevier, New York, 2001), Vol. II.

Hess, O.

Hilyard, R. C.

R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
[CrossRef]

R. J. Pierre, D.W. Mordaunt, H. Injeyan, J. G. Berg, R. C. Hilyard, M. E. Weber, M. G. Wickham, G. M. Harpole, and R. Senn, “Diode array pumped kilowatt laser,” IEEE. J. Sel. Top. Quantum Electron. 3, 53–58 (1997).
[CrossRef]

Holleman, G. W.

R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
[CrossRef]

Injeyan, H.

R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
[CrossRef]

R. J. Pierre, D.W. Mordaunt, H. Injeyan, J. G. Berg, R. C. Hilyard, M. E. Weber, M. G. Wickham, G. M. Harpole, and R. Senn, “Diode array pumped kilowatt laser,” IEEE. J. Sel. Top. Quantum Electron. 3, 53–58 (1997).
[CrossRef]

Kaneda, Y.

M. Oka, H. Masuda, Y. Kaneda, and S. Kubota, “Laser-diode-pumped phase-locked Nd:YAG laser arrays,” IEEE J. Quantum Electron. 28, 1142–1147 (1992).
[CrossRef]

Kannari, F.

Y. Kono, M. Takeoka, K. Uto, A. Uchida, and F. Kannari, “A coherent all-solid-state laser array using the Talbot effect in a three-mirror cavity,” IEEE J. Quantum Electron. 36, 607–614 (2000).
[CrossRef]

Kapon, E.

Katz, J.

Klein, S.

M. V. Berry and S. Klein, “Integer, fractional and fractal Talbot effects,” J. Mod. Opt. 43, 2139–2164 (1996).
[CrossRef]

Kono, Y.

Y. Kono, M. Takeoka, K. Uto, A. Uchida, and F. Kannari, “A coherent all-solid-state laser array using the Talbot effect in a three-mirror cavity,” IEEE J. Quantum Electron. 36, 607–614 (2000).
[CrossRef]

Kubica, J. M.

M. Szymanski, J. M. Kubica, and P. Szczepanski, “Theoretical analysis of lateral modes in broad-area semiconductor lasers with profiled reflectivity output facets,” IEEE J. Quantum Electron. 37,430–438 (2001).
[CrossRef]

Kubota, S.

M. Oka, H. Masuda, Y. Kaneda, and S. Kubota, “Laser-diode-pumped phase-locked Nd:YAG laser arrays,” IEEE J. Quantum Electron. 28, 1142–1147 (1992).
[CrossRef]

Lang, R. J.

R. J. Lang, K. Dzurko, A. A. Hardy, S. Demars, A. Schoenfelder, and D. F. Welch, “Theory of grating-confined broad-area lasers,” IEEE J. Quantum Electron. 34, 2196–2210 (1998).
[CrossRef]

Leger, J. R.

Leitner, M.

Li, T.

A. G. Fox and T. Li, “Resonant modes in a maser interferometer,” Bell Syst. Tech. J. 40, 453–488 (1961).

Li, X.

Machan, J.

R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
[CrossRef]

Marciante, J. R.

J. R. Marciante and G. P. Agrawal, “Lateral spatial effects of feedback in gain-guided and broad-area semiconductor lasers,” IEEE J. Quantum Electron. 32, 1630–1635 (1996).
[CrossRef]

Masuda, H.

M. Oka, H. Masuda, Y. Kaneda, and S. Kubota, “Laser-diode-pumped phase-locked Nd:YAG laser arrays,” IEEE J. Quantum Electron. 28, 1142–1147 (1992).
[CrossRef]

McCarthy, N.

Mehuys, D.

Menard, S.

Miller, H. Y.

Mitchell, M.

R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
[CrossRef]

Monneret, S.

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R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
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R. J. Pierre, D.W. Mordaunt, H. Injeyan, J. G. Berg, R. C. Hilyard, M. E. Weber, M. G. Wickham, G. M. Harpole, and R. Senn, “Diode array pumped kilowatt laser,” IEEE. J. Sel. Top. Quantum Electron. 3, 53–58 (1997).
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M. Szymanski, J. M. Kubica, and P. Szczepanski, “Theoretical analysis of lateral modes in broad-area semiconductor lasers with profiled reflectivity output facets,” IEEE J. Quantum Electron. 37,430–438 (2001).
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M. Szymanski, J. M. Kubica, and P. Szczepanski, “Theoretical analysis of lateral modes in broad-area semiconductor lasers with profiled reflectivity output facets,” IEEE J. Quantum Electron. 37,430–438 (2001).
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Y. Kono, M. Takeoka, K. Uto, A. Uchida, and F. Kannari, “A coherent all-solid-state laser array using the Talbot effect in a three-mirror cavity,” IEEE J. Quantum Electron. 36, 607–614 (2000).
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R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
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Y. Kono, M. Takeoka, K. Uto, A. Uchida, and F. Kannari, “A coherent all-solid-state laser array using the Talbot effect in a three-mirror cavity,” IEEE J. Quantum Electron. 36, 607–614 (2000).
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Y. Kono, M. Takeoka, K. Uto, A. Uchida, and F. Kannari, “A coherent all-solid-state laser array using the Talbot effect in a three-mirror cavity,” IEEE J. Quantum Electron. 36, 607–614 (2000).
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R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
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A. Desfarges-Berthelemot, B. Colombeau, M. Vampouille, P. J. Devilder, C. Froehly, and S. Monneret, “Adjustable phase-locking of two Nd:Glass ring laser beams,” Opt. Commun. 141, 123–126 (1997).
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R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
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R. J. Pierre, D.W. Mordaunt, H. Injeyan, J. G. Berg, R. C. Hilyard, M. E. Weber, M. G. Wickham, G. M. Harpole, and R. Senn, “Diode array pumped kilowatt laser,” IEEE. J. Sel. Top. Quantum Electron. 3, 53–58 (1997).
[CrossRef]

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R. J. Lang, K. Dzurko, A. A. Hardy, S. Demars, A. Schoenfelder, and D. F. Welch, “Theory of grating-confined broad-area lasers,” IEEE J. Quantum Electron. 34, 2196–2210 (1998).
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R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
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Y. Kono, M. Takeoka, K. Uto, A. Uchida, and F. Kannari, “A coherent all-solid-state laser array using the Talbot effect in a three-mirror cavity,” IEEE J. Quantum Electron. 36, 607–614 (2000).
[CrossRef]

M. Oka, H. Masuda, Y. Kaneda, and S. Kubota, “Laser-diode-pumped phase-locked Nd:YAG laser arrays,” IEEE J. Quantum Electron. 28, 1142–1147 (1992).
[CrossRef]

R. J. Lang, K. Dzurko, A. A. Hardy, S. Demars, A. Schoenfelder, and D. F. Welch, “Theory of grating-confined broad-area lasers,” IEEE J. Quantum Electron. 34, 2196–2210 (1998).
[CrossRef]

M. Szymanski, J. M. Kubica, and P. Szczepanski, “Theoretical analysis of lateral modes in broad-area semiconductor lasers with profiled reflectivity output facets,” IEEE J. Quantum Electron. 37,430–438 (2001).
[CrossRef]

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IEEE. J. Sel. Top. Quantum Electron. (2)

R. J. Pierre, G. W. Holleman, M. Valley, H. Injeyan, J. G. Berg, G. M. Harpole, R. C. Hilyard, M. Mitchell, M. E. Weber, J. Zamel, T. Engler, D. Hall, R. Tinti, and J. Machan, “Active tracked laser (ATLAS),” IEEE. J. Sel. Top. Quantum Electron. 3, 64–70 (1997).
[CrossRef]

R. J. Pierre, D.W. Mordaunt, H. Injeyan, J. G. Berg, R. C. Hilyard, M. E. Weber, M. G. Wickham, G. M. Harpole, and R. Senn, “Diode array pumped kilowatt laser,” IEEE. J. Sel. Top. Quantum Electron. 3, 53–58 (1997).
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A. Desfarges-Berthelemot, B. Colombeau, M. Vampouille, P. J. Devilder, C. Froehly, and S. Monneret, “Adjustable phase-locking of two Nd:Glass ring laser beams,” Opt. Commun. 141, 123–126 (1997).
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Opt. Express (1)

Opt. Lett. (7)

Proc. IEEE (1)

E. A. Sziklas and A. E. Siegman, “Diffraction calculations using fast Fourier transform methods,” Proc. IEEE 62, 410–412 (1974).
[CrossRef]

Other (4)

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chaps. 22 and 23.

R. Oron, N. Davidson, A. A. Friesem, and E. Hasman, “Transverse mode shaping and selection in laser resonators,” in Progress in Optics, E. Wolf, ed. (Elsevier, New York, 2001), Vol. II.

D. Botez and D. R. Scifres, Diode Laser Arrays (Cambridge U. Press, Cambridge, UK, 1994), Chap. 1.
[CrossRef]

V. I. Yukalov, “Optical turbulent structures,” in High-Power Laser Ablation III, C. R. Phipps, ed., Proc. SPIE4065, 237–244 (2001).
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

Schematic of the introductory resonator configuration used in numerical investigation. Ml , Mr , and P are left end mirror, right end mirror, and periodic phase plate, respectively. L is cavity length; d and λ m are modulation depth and spatial period of P, respectively. u(x,y) is the optical field oscillating in the cavity.

Fig. 2.
Fig. 2.

Left, fundamental mode patterns for resonators with modulation d=π/8 and cavity length L=0.125, 0.250, …, 1.25 from top to bottom, respectively. Right, corresponding far-field patterns.

Fig. 3.
Fig. 3.

Left, near-field amplitude profiles of the five lowest-order modes at d=π/8, L=0.625 m. Right, corresponding far-field intensity patterns.

Fig. 4.
Fig. 4.

Round-trip losses of three lowest-order modes for different cavity lengths L and phasemodulation depths d.

Equations (1)

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u ( x , y ) = u ( x , y ) exp [ j 2 d cos ( 2 π x 2 + y 2 λ m ) ] ,

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