Abstract

The Talbot cavity is one promising method to synchronize the phase of a laser array. However, it does not achieve the lowest array mode with the same phase but the highest array mode with the anti-phase between every two adjacent lasers, which is called out-phase locking. Consequently, their far-field images exhibit 2-peak profiles. We propose intra-Talbot-cavity frequency-doubling. By placing a nonlinear crystal in a Talbot cavity, the Talbot cavity generates an out-phased fundamental wave array, which is converted into an in-phase-locked second harmonic wave array at the nonlinear crystal. We demonstrate numerical calculations and experiments on intra-Talbot-cavity frequency-doubling and obtain an in-phase-locked second harmonic wave array for a Nd:YVO4 array laser.

© 2015 Optical Society of America

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References

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2013 (3)

2012 (1)

R. Zhou, Q. Zhan, P. E. Powers, B. Ibarra-Escamilla, and J. W. Haus, “An all fiber based Talbot self-imaging mirror device for phase-locking of a multi-fiber laser,” J. Europ. Opt. Soc. Rap. Public. 7, 12012 (2012).
[Crossref]

2010 (1)

Y. Zhang, J. Wen, S. N. Zhu, and M. Xiao, “Nonlinear Talbot Effect,” Phys. Rev. Lett. 104, 183901 (2010).
[Crossref] [PubMed]

2009 (1)

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

2008 (2)

I. Hassiaoui, N. Michel, G. Bourdet, R. McBride, M. Lecomte, O. Parillaud, M. Calligaro, M. Krakowski, and J. P. Huignard, “Very compact external cavity diffraction-coupled tapered laser diodes,” Appl. Opt. 47, 746–750 (2008).
[Crossref] [PubMed]

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

2007 (2)

2006 (2)

L. Li, A. Schülzgen, S. Chen, V. L. Temyanko, J. V. Moloney, and N. Peyghambarian, “Phase locking and in-phase supermode selection in monolithic multicore fiber lasers,” Opt. Lett. 31, 2577–2579 (2006).
[Crossref] [PubMed]

D. Lu, J. Chen, H. Yang, H. Chen, X. Lin, and S. Gao, “Theoretical analysis on phase-locking properties of a laser diode array facing an external cavity,” Opt. Laser Technol. 38, 516–522 (2006).
[Crossref]

2005 (1)

T. Y. Fan, “Laser Beam Combining for High-Power, High-Radiance Sources,” IEEE J. Sel. Topics Quantum Electron. 11, 567–577 (2005).
[Crossref]

2001 (1)

2000 (2)

M. Wrage, P. Glas, D. Fischer, 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]

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]

1996 (1)

H. J. Baker, D. R. Hall, A. M. Hornby, R. J. Morley, M. R. Taghizadeh, and E. F. Yelden, “Propagation characteristics of coherent array beams from carbon dioxide waveguide lasers,” IEEE J. Quantum Electron. 32, 400–407 (1996).
[Crossref]

1995 (2)

1993 (1)

A. M. Hornby, H. J. Baker, A. D. Colley, and D. R. Hall, “Phase locking of linear arrays of CO2 waveguide lasers by the waveguide-confined Talbot effect,” Appl. Phys. Lett. 63, 2591–2593 (1993).
[Crossref]

1992 (1)

1989 (2)

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]

J. R. Leger, “Lateral mode control of an AlGaAs laser array in a Talbot cavity,” Appl. Phys. Lett. 55, 334–336 (1989).
[Crossref]

1988 (2)

J. R. Leger, M. L. Scott, and W. B. Veldkamp, “Coherent addition of AlGaAs lasers using microlenses and diffractive coupling,” Appl. Phys. Lett. 52, 1771–1773 (1988).
[Crossref]

D. Mehuys, K. Mitsunaga, L. Eng, W. K. Marshall, and A. Yariv, “Supermode control in diffraction-coupled semiconductor laser arrays,” Appl. Phys. Lett. 53, 1165–1167 (1988).
[Crossref]

1836 (1)

H. F. Talbot, “Facts relating to optical science, No. IV,” Philos. Mag. 9, 401–407 (1836).

Akino, Y.

Y. Hirano, S. Yamamoto, Y. Akino, A. Nakamura, T. Yagi, H. Sugiura, and T. Yanagisawa, “High performance micro green laser for laser TV,” in Advanced Solid-State Photonics, OSA Technical Digest Series (CD) (Optical Society of America, 2009), paper WE1.
[Crossref]

Alford, W. J.

Augst, S. J.

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

Baker, H. J.

H. J. Baker, D. R. Hall, A. M. Hornby, R. J. Morley, M. R. Taghizadeh, and E. F. Yelden, “Propagation characteristics of coherent array beams from carbon dioxide waveguide lasers,” IEEE J. Quantum Electron. 32, 400–407 (1996).
[Crossref]

A. M. Hornby, H. J. Baker, A. D. Colley, and D. R. Hall, “Phase locking of linear arrays of CO2 waveguide lasers by the waveguide-confined Talbot effect,” Appl. Phys. Lett. 63, 2591–2593 (1993).
[Crossref]

Bourdet, G.

Bowers, M. S.

Braiman, Y.

Calligaro, M.

Chann, B.

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

Chen, H.

D. Lu, J. Chen, H. Yang, H. Chen, X. Lin, and S. Gao, “Theoretical analysis on phase-locking properties of a laser diode array facing an external cavity,” Opt. Laser Technol. 38, 516–522 (2006).
[Crossref]

Chen, J.

D. Lu, J. Chen, H. Yang, H. Chen, X. Lin, and S. Gao, “Theoretical analysis on phase-locking properties of a laser diode array facing an external cavity,” Opt. Laser Technol. 38, 516–522 (2006).
[Crossref]

Chen, S.

Colley, A. D.

A. M. Hornby, H. J. Baker, A. D. Colley, and D. R. Hall, “Phase locking of linear arrays of CO2 waveguide lasers by the waveguide-confined Talbot effect,” Appl. Phys. Lett. 63, 2591–2593 (1993).
[Crossref]

Connors, M. K.

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

Crouse, R. F.

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]

Donnelly, J. P.

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

Dorsch, F.

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

Eng, L.

D. Mehuys, K. Mitsunaga, L. Eng, W. K. Marshall, and A. Yariv, “Supermode control in diffraction-coupled semiconductor laser arrays,” Appl. Phys. Lett. 53, 1165–1167 (1988).
[Crossref]

Fan, T. Y.

T. Y. Fan, “Laser Beam Combining for High-Power, High-Radiance Sources,” IEEE J. Sel. Topics Quantum Electron. 11, 567–577 (2005).
[Crossref]

Fischer, D.

Gao, S.

D. Lu, J. Chen, H. Yang, H. Chen, X. Lin, and S. Gao, “Theoretical analysis on phase-locking properties of a laser diode array facing an external cavity,” Opt. Laser Technol. 38, 516–522 (2006).
[Crossref]

Georges, P.

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

Glas, P.

Hall, D. R.

H. J. Baker, D. R. Hall, A. M. Hornby, R. J. Morley, M. R. Taghizadeh, and E. F. Yelden, “Propagation characteristics of coherent array beams from carbon dioxide waveguide lasers,” IEEE J. Quantum Electron. 32, 400–407 (1996).
[Crossref]

A. M. Hornby, H. J. Baker, A. D. Colley, and D. R. Hall, “Phase locking of linear arrays of CO2 waveguide lasers by the waveguide-confined Talbot effect,” Appl. Phys. Lett. 63, 2591–2593 (1993).
[Crossref]

Hassiaoui, I.

Haus, J. W.

R. Zhou, Q. Zhan, P. E. Powers, B. Ibarra-Escamilla, and J. W. Haus, “An all fiber based Talbot self-imaging mirror device for phase-locking of a multi-fiber laser,” J. Europ. Opt. Soc. Rap. Public. 7, 12012 (2012).
[Crossref]

Hirano, Y.

Y. Hirano, S. Yamamoto, Y. Akino, A. Nakamura, T. Yagi, H. Sugiura, and T. Yanagisawa, “High performance micro green laser for laser TV,” in Advanced Solid-State Photonics, OSA Technical Digest Series (CD) (Optical Society of America, 2009), paper WE1.
[Crossref]

T. Yanagisawa, Y. Hirano, S. Yamamoto, M. Imaki, K. Sakai, and Y. Koyata, “Mode control waveguide laser device,” U.S. Patent7839908 B2, November23, 2010.

Hirosawa, K.

Hornby, A. M.

H. J. Baker, D. R. Hall, A. M. Hornby, R. J. Morley, M. R. Taghizadeh, and E. F. Yelden, “Propagation characteristics of coherent array beams from carbon dioxide waveguide lasers,” IEEE J. Quantum Electron. 32, 400–407 (1996).
[Crossref]

A. M. Hornby, H. J. Baker, A. D. Colley, and D. R. Hall, “Phase locking of linear arrays of CO2 waveguide lasers by the waveguide-confined Talbot effect,” Appl. Phys. Lett. 63, 2591–2593 (1993).
[Crossref]

Hostetler, J. L.

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

Huang, R. K.

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

Huignard, J. P.

Ibarra-Escamilla, B.

R. Zhou, Q. Zhan, P. E. Powers, B. Ibarra-Escamilla, and J. W. Haus, “An all fiber based Talbot self-imaging mirror device for phase-locking of a multi-fiber laser,” J. Europ. Opt. Soc. Rap. Public. 7, 12012 (2012).
[Crossref]

Imaki, M.

T. Yanagisawa, Y. Hirano, S. Yamamoto, M. Imaki, K. Sakai, and Y. Koyata, “Mode control waveguide laser device,” U.S. Patent7839908 B2, November23, 2010.

Kannari, F.

K. Hirosawa, S. Kittaka, Y. Oishi, F. Kannari, and T. Yanagisawa, “Phase locking in a Nd:YVO4 waveguide laser array using Talbot cavity,” Opt. Express 21, 24952–24961 (2013).
[Crossref] [PubMed]

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]

Kittaka, S.

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]

Koyata, Y.

T. Yanagisawa, Y. Hirano, S. Yamamoto, M. Imaki, K. Sakai, and Y. Koyata, “Mode control waveguide laser device,” U.S. Patent7839908 B2, November23, 2010.

Krakowski, M.

I. Hassiaoui, N. Michel, G. Bourdet, R. McBride, M. Lecomte, O. Parillaud, M. Calligaro, M. Krakowski, and J. P. Huignard, “Very compact external cavity diffraction-coupled tapered laser diodes,” Appl. Opt. 47, 746–750 (2008).
[Crossref] [PubMed]

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

Larkins, E.

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

Latimer, P.

Lecomte, M.

Leger, J. R.

J. R. Leger, “Lateral mode control of an AlGaAs laser array in a Talbot cavity,” Appl. Phys. Lett. 55, 334–336 (1989).
[Crossref]

J. R. Leger, M. L. Scott, and W. B. Veldkamp, “Coherent addition of AlGaAs lasers using microlenses and diffractive coupling,” Appl. Phys. Lett. 52, 1771–1773 (1988).
[Crossref]

Leitner, M.

Li, H.

Li, L.

Lim, J.

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

Lin, X.

D. Lu, J. Chen, H. Yang, H. Chen, X. Lin, and S. Gao, “Theoretical analysis on phase-locking properties of a laser diode array facing an external cavity,” Opt. Laser Technol. 38, 516–522 (2006).
[Crossref]

Liu, B.

Lu, D.

D. Lu, J. Chen, H. Yang, H. Chen, X. Lin, and S. Gao, “Theoretical analysis on phase-locking properties of a laser diode array facing an external cavity,” Opt. Laser Technol. 38, 516–522 (2006).
[Crossref]

Lucas-Leclin, G.

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

Mackenzie, J. I.

J. I. Mackenzie, “Dielectric solid-state planar waveguide laser: a review,” IEEE J. Sel. Topics Quantum Electron. 13, 626–637 (2007).
[Crossref]

Marshall, W. K.

D. Mehuys, K. Mitsunaga, L. Eng, W. K. Marshall, and A. Yariv, “Supermode control in diffraction-coupled semiconductor laser arrays,” Appl. Phys. Lett. 53, 1165–1167 (1988).
[Crossref]

McBride, R.

Mehuys, D.

D. Mehuys, K. Mitsunaga, L. Eng, W. K. Marshall, and A. Yariv, “Supermode control in diffraction-coupled semiconductor laser arrays,” Appl. Phys. Lett. 53, 1165–1167 (1988).
[Crossref]

Michel, N.

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

I. Hassiaoui, N. Michel, G. Bourdet, R. McBride, M. Lecomte, O. Parillaud, M. Calligaro, M. Krakowski, and J. P. Huignard, “Very compact external cavity diffraction-coupled tapered laser diodes,” Appl. Opt. 47, 746–750 (2008).
[Crossref] [PubMed]

Miester, C.

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

Missagia, L. J.

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

Mitsunaga, K.

D. Mehuys, K. Mitsunaga, L. Eng, W. K. Marshall, and A. Yariv, “Supermode control in diffraction-coupled semiconductor laser arrays,” Appl. Phys. Lett. 53, 1165–1167 (1988).
[Crossref]

Moloney, J. V.

Morley, R. J.

H. J. Baker, D. R. Hall, A. M. Hornby, R. J. Morley, M. R. Taghizadeh, and E. F. Yelden, “Propagation characteristics of coherent array beams from carbon dioxide waveguide lasers,” IEEE J. Quantum Electron. 32, 400–407 (1996).
[Crossref]

Nakamura, A.

Y. Hirano, S. Yamamoto, Y. Akino, A. Nakamura, T. Yagi, H. Sugiura, and T. Yanagisawa, “High performance micro green laser for laser TV,” in Advanced Solid-State Photonics, OSA Technical Digest Series (CD) (Optical Society of America, 2009), paper WE1.
[Crossref]

Napartovich, A. P.

Oishi, Y.

Paboeuf, D.

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

Parillaud, O.

Peyghambarian, N.

Powers, P. E.

R. Zhou, Q. Zhan, P. E. Powers, B. Ibarra-Escamilla, and J. W. Haus, “An all fiber based Talbot self-imaging mirror device for phase-locking of a multi-fiber laser,” J. Europ. Opt. Soc. Rap. Public. 7, 12012 (2012).
[Crossref]

Raymond, T. D.

Roychoudhuri, C.

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]

Sakai, K.

T. Yanagisawa, Y. Hirano, S. Yamamoto, M. Imaki, K. Sakai, and Y. Koyata, “Mode control waveguide laser device,” U.S. Patent7839908 B2, November23, 2010.

Sanchez-Rubio, A.

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

Schülzgen, A.

Scott, M. L.

J. R. Leger, M. L. Scott, and W. B. Veldkamp, “Coherent addition of AlGaAs lasers using microlenses and diffractive coupling,” Appl. Phys. Lett. 52, 1771–1773 (1988).
[Crossref]

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]

Smith, A. V.

Sugiura, H.

Y. Hirano, S. Yamamoto, Y. Akino, A. Nakamura, T. Yagi, H. Sugiura, and T. Yanagisawa, “High performance micro green laser for laser TV,” in Advanced Solid-State Photonics, OSA Technical Digest Series (CD) (Optical Society of America, 2009), paper WE1.
[Crossref]

Sujecki, S.

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

Taghizadeh, M. R.

H. J. Baker, D. R. Hall, A. M. Hornby, R. J. Morley, M. R. Taghizadeh, and E. F. Yelden, “Propagation characteristics of coherent array beams from carbon dioxide waveguide lasers,” IEEE J. Quantum Electron. 32, 400–407 (1996).
[Crossref]

Takeoka, M.

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]

Talbot, H. F.

H. F. Talbot, “Facts relating to optical science, No. IV,” Philos. Mag. 9, 401–407 (1836).

Temyanko, V. L.

Turner, G. W.

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

Uchida, A.

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]

Uto, K.

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]

Veldkamp, W. B.

J. R. Leger, M. L. Scott, and W. B. Veldkamp, “Coherent addition of AlGaAs lasers using microlenses and diffractive coupling,” Appl. Phys. Lett. 52, 1771–1773 (1988).
[Crossref]

Vysotsky, D. V.

Wen, J.

J. Wen, Y. Zhang, and M. Xiao, “The Talbot effect: Recent advances in classical optics, nonlinear optics, and quantum optics,” Adv. Opt. Photonics 5, 83–130 (2013).
[Crossref]

Y. Zhang, J. Wen, S. N. Zhu, and M. Xiao, “Nonlinear Talbot Effect,” Phys. Rev. Lett. 104, 183901 (2010).
[Crossref] [PubMed]

Wrage, M.

Xiao, M.

J. Wen, Y. Zhang, and M. Xiao, “The Talbot effect: Recent advances in classical optics, nonlinear optics, and quantum optics,” Adv. Opt. Photonics 5, 83–130 (2013).
[Crossref]

Y. Zhang, J. Wen, S. N. Zhu, and M. Xiao, “Nonlinear Talbot Effect,” Phys. Rev. Lett. 104, 183901 (2010).
[Crossref] [PubMed]

Yagi, T.

Y. Hirano, S. Yamamoto, Y. Akino, A. Nakamura, T. Yagi, H. Sugiura, and T. Yanagisawa, “High performance micro green laser for laser TV,” in Advanced Solid-State Photonics, OSA Technical Digest Series (CD) (Optical Society of America, 2009), paper WE1.
[Crossref]

Yamamoto, S.

Y. Hirano, S. Yamamoto, Y. Akino, A. Nakamura, T. Yagi, H. Sugiura, and T. Yanagisawa, “High performance micro green laser for laser TV,” in Advanced Solid-State Photonics, OSA Technical Digest Series (CD) (Optical Society of America, 2009), paper WE1.
[Crossref]

T. Yanagisawa, Y. Hirano, S. Yamamoto, M. Imaki, K. Sakai, and Y. Koyata, “Mode control waveguide laser device,” U.S. Patent7839908 B2, November23, 2010.

Yanagisawa, T.

K. Hirosawa, S. Kittaka, Y. Oishi, F. Kannari, and T. Yanagisawa, “Phase locking in a Nd:YVO4 waveguide laser array using Talbot cavity,” Opt. Express 21, 24952–24961 (2013).
[Crossref] [PubMed]

T. Yanagisawa, Y. Hirano, S. Yamamoto, M. Imaki, K. Sakai, and Y. Koyata, “Mode control waveguide laser device,” U.S. Patent7839908 B2, November23, 2010.

Y. Hirano, S. Yamamoto, Y. Akino, A. Nakamura, T. Yagi, H. Sugiura, and T. Yanagisawa, “High performance micro green laser for laser TV,” in Advanced Solid-State Photonics, OSA Technical Digest Series (CD) (Optical Society of America, 2009), paper WE1.
[Crossref]

Yang, H.

D. Lu, J. Chen, H. Yang, H. Chen, X. Lin, and S. Gao, “Theoretical analysis on phase-locking properties of a laser diode array facing an external cavity,” Opt. Laser Technol. 38, 516–522 (2006).
[Crossref]

Yariv, A.

D. Mehuys, K. Mitsunaga, L. Eng, W. K. Marshall, and A. Yariv, “Supermode control in diffraction-coupled semiconductor laser arrays,” Appl. Phys. Lett. 53, 1165–1167 (1988).
[Crossref]

Yelden, E. F.

H. J. Baker, D. R. Hall, A. M. Hornby, R. J. Morley, M. R. Taghizadeh, and E. F. Yelden, “Propagation characteristics of coherent array beams from carbon dioxide waveguide lasers,” IEEE J. Quantum Electron. 32, 400–407 (1996).
[Crossref]

Zhan, Q.

R. Zhou, Q. Zhan, P. E. Powers, B. Ibarra-Escamilla, and J. W. Haus, “An all fiber based Talbot self-imaging mirror device for phase-locking of a multi-fiber laser,” J. Europ. Opt. Soc. Rap. Public. 7, 12012 (2012).
[Crossref]

Zhang, Y.

J. Wen, Y. Zhang, and M. Xiao, “The Talbot effect: Recent advances in classical optics, nonlinear optics, and quantum optics,” Adv. Opt. Photonics 5, 83–130 (2013).
[Crossref]

Y. Zhang, J. Wen, S. N. Zhu, and M. Xiao, “Nonlinear Talbot Effect,” Phys. Rev. Lett. 104, 183901 (2010).
[Crossref] [PubMed]

Zhou, R.

R. Zhou, Q. Zhan, P. E. Powers, B. Ibarra-Escamilla, and J. W. Haus, “An all fiber based Talbot self-imaging mirror device for phase-locking of a multi-fiber laser,” J. Europ. Opt. Soc. Rap. Public. 7, 12012 (2012).
[Crossref]

Zhu, S. N.

Y. Zhang, J. Wen, S. N. Zhu, and M. Xiao, “Nonlinear Talbot Effect,” Phys. Rev. Lett. 104, 183901 (2010).
[Crossref] [PubMed]

Adv. Opt. Photonics (1)

J. Wen, Y. Zhang, and M. Xiao, “The Talbot effect: Recent advances in classical optics, nonlinear optics, and quantum optics,” Adv. Opt. Photonics 5, 83–130 (2013).
[Crossref]

Appl. Opt. (2)

Appl. Phys. Lett. (6)

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

J. R. Leger, “Lateral mode control of an AlGaAs laser array in a Talbot cavity,” Appl. Phys. Lett. 55, 334–336 (1989).
[Crossref]

J. R. Leger, M. L. Scott, and W. B. Veldkamp, “Coherent addition of AlGaAs lasers using microlenses and diffractive coupling,” Appl. Phys. Lett. 52, 1771–1773 (1988).
[Crossref]

D. Mehuys, K. Mitsunaga, L. Eng, W. K. Marshall, and A. Yariv, “Supermode control in diffraction-coupled semiconductor laser arrays,” Appl. Phys. Lett. 53, 1165–1167 (1988).
[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]

A. M. Hornby, H. J. Baker, A. D. Colley, and D. R. Hall, “Phase locking of linear arrays of CO2 waveguide lasers by the waveguide-confined Talbot effect,” Appl. Phys. Lett. 63, 2591–2593 (1993).
[Crossref]

IEEE J. Quantum Electron. (2)

H. J. Baker, D. R. Hall, A. M. Hornby, R. J. Morley, M. R. Taghizadeh, and E. F. Yelden, “Propagation characteristics of coherent array beams from carbon dioxide waveguide lasers,” IEEE J. Quantum Electron. 32, 400–407 (1996).
[Crossref]

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]

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

J. I. Mackenzie, “Dielectric solid-state planar waveguide laser: a review,” IEEE J. Sel. Topics Quantum Electron. 13, 626–637 (2007).
[Crossref]

T. Y. Fan, “Laser Beam Combining for High-Power, High-Radiance Sources,” IEEE J. Sel. Topics Quantum Electron. 11, 567–577 (2005).
[Crossref]

J. Europ. Opt. Soc. Rap. Public. (1)

R. Zhou, Q. Zhan, P. E. Powers, B. Ibarra-Escamilla, and J. W. Haus, “An all fiber based Talbot self-imaging mirror device for phase-locking of a multi-fiber laser,” J. Europ. Opt. Soc. Rap. Public. 7, 12012 (2012).
[Crossref]

J. Opt. Soc. Am. B (3)

Opt. Express (2)

Opt. Laser Technol. (1)

D. Lu, J. Chen, H. Yang, H. Chen, X. Lin, and S. Gao, “Theoretical analysis on phase-locking properties of a laser diode array facing an external cavity,” Opt. Laser Technol. 38, 516–522 (2006).
[Crossref]

Opt. Lett. (3)

Philos. Mag. (1)

H. F. Talbot, “Facts relating to optical science, No. IV,” Philos. Mag. 9, 401–407 (1836).

Phys. Rev. Lett. (1)

Y. Zhang, J. Wen, S. N. Zhu, and M. Xiao, “Nonlinear Talbot Effect,” Phys. Rev. Lett. 104, 183901 (2010).
[Crossref] [PubMed]

Proc. SPIE (1)

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

Other (2)

Y. Hirano, S. Yamamoto, Y. Akino, A. Nakamura, T. Yagi, H. Sugiura, and T. Yanagisawa, “High performance micro green laser for laser TV,” in Advanced Solid-State Photonics, OSA Technical Digest Series (CD) (Optical Society of America, 2009), paper WE1.
[Crossref]

T. Yanagisawa, Y. Hirano, S. Yamamoto, M. Imaki, K. Sakai, and Y. Koyata, “Mode control waveguide laser device,” U.S. Patent7839908 B2, November23, 2010.

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Figures (7)

Fig. 1
Fig. 1

(a) Model for calculations. (b) Unfolded model of the round-trip light path in Fig. 1(a).

Fig. 2
Fig. 2

(a) Far-field profile of fundamental wave with 100-W input power and ideal 3.41-μm PPLN period. (b) Far-field profiles of SH wave generated in first and second PPLNs, respectively.

Fig. 3
Fig. 3

Calculation results from 100 W input and 0.2% variation from ideal PPLN period: (a) Output power of SH wave from first PPLN. (b) Far-field profile of fundamental wave. (c) Far-field profiles of SH wave.

Fig. 4
Fig. 4

Bird’s eye view (left), top view (upper-right), and side view (lower-right) of experimental setup

Fig. 5
Fig. 5

Far-field pattern of (a) fundamental wave and (b) SH wave. (c) Far-field pattern when adjusting S3 angle.

Fig. 6
Fig. 6

Transverse far-field profile of (a) fundamental wave and (b) SH wave with various external cavity lengths.

Fig. 7
Fig. 7

Output power of SH wave dependence on absorbed power

Equations (6)

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

ε 1 ( x , y , z ) z = j 2 k 1 [ 2 ε 1 ( x , y , z ) x 2 + 2 ε 1 ( x , y , z ) y 2 ] + j d eff ω 1 c n 1 ε 2 ( x , y , z ) ε 1 * ( x , y , z ) exp ( j Δ k z ) ,
ε 2 ( x , y , z ) z = j 2 k 2 [ 2 ε 2 ( x , y , z ) x 2 + 2 ε 2 ( x , y , z ) y 2 ] + j d eff ω 2 c n 2 ε 1 2 ( x , y , z ) exp ( j Δ k z ) ,
ε 1 ( x , z ) z = j 2 k 1 2 ε 1 ( x , z ) x 2 + j d eff ω 1 2 c n 1 ε 2 ( x , z ) ε 1 * ( x , z ) exp ( j Δ k z ) ,
ε 2 ( x , z ) z = j 2 k 2 2 ε 2 ( x , z ) x 2 + j d eff ω 2 2 c n 2 ε 1 2 ( x , z ) exp ( j Δ k z ) .
ε 1 ( x , 0 ) = n = 1 15 ε 1 n exp ( [ x ( n 8 ) d ] 2 a 2 ) ,
ε 1 n = ε 11 sin ( 15 16 n π ) sin ( 15 16 π ) ,

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