Abstract

We study numerically and experimentally laser coherent combination (LCC) with multiple one- or two-dimensional Airy beams. It is shown that the method of LCC using Airy beams leads to a higher combining efficiency and a better feature of propagation than that using conventional Gaussian beams. Based on such coherent Airy beams combination, we propose a laser steering approach that could achieve large-angle beam steering (over 0.6°) without the need of using any mechanical steering component.

© 2013 Optical Society of America

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  1. J. Hecht, “Short history of laser development,” Opt. Eng. 49, 091002 (2010).
    [CrossRef]
  2. D. F. Welch, “A brief history of high-power semiconductor lasers,” IEEE J. Sel. Top. Quantum Electron. 6, 1470–1477 (2000).
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  3. S. Backus, C. G. Durfee, M. M. Murnane, and H. C. Kapteyn, “High power ultrafast lasers,” Rev. Sci. Instrum. 69, 1207–1223 (1998).
    [CrossRef]
  4. D. J. Richardson, J. Nilsson, and W. A. Clarkson, “High power fiber lasers: current status and future perspectives,” Opt. Soc. Am. B 27, B63–B92 (2010).
  5. T. Y. Fan, “Laser beam combining for high-power high-radiance sources,” IEEE J. Sel. Top. Quantum Electron. 11, 567–577 (2005).
    [CrossRef]
  6. B. G. Lee, J. Kansky, A. K. Goyal, C. Pflügl, L. Diehl, M. A. Belkin, A. Sanchez, and F. Capasso, “Beam combining of quantum cascade laser arrays,” Opt. Express 17, 16216–16224 (2009).
    [CrossRef]
  7. S. J. Augst, J. K. Ranka, T. Y. Fan, and A. Sanchez, “Beam combining of ytterbium fiber amplifiers,” J. Opt. Soc. Am. B 24, 1707–1715 (2007).
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  8. S. M. Redmond, K. J. Creedon, J. E. Kansky, S. J. Augst, L. J. Missaggia, M. K. Connors, R. K. Huang, B. Chann, T. Y. Fan, G. W. Turner, and A. Sanchez-Rubio, “Active coherent beam combining of diode lasers,” Opt. Lett. 36, 999–1001 (2011).
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  9. R. Uberna, A. Bratcher, T. G. Alley, A. D. Sanchez, A. S. Flores, and B. Pulford, “Coherent combination of high power fiber amplifiers in a two-dimensional re-imaging waveguide,” Opt. Express 18, 13547–13553 (2010).
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  11. S. Yin, J. H. Kim, F. Wu, P. Ruffin, and C. Luo, “Ultra-fast speed, low grating lobe optical beam steering using unequally spaced phased array technique,” Proc. SPIE 5911, 591104 (2005).
    [CrossRef]
  12. S. Yin, J. H. Kim, J. Yao, P. Ruffin, E. Edwards, C. Brantley, and C. Luo, “Recent advances on multiple channel unequally spaced optical phased array for ultrafast LADAR,” Proc. SPIE 7056, 705619 (2008).
    [CrossRef]
  13. A. Hosseini, D. Kwong, Y. Zhao, Y. S. Chen, F. Crnogorac, R. F. W. Pease, and R. T. Chen, “Unequally spaced waveguide arrays for silicon nanomembrane-based efficient large angle optical beam steering,” IEEE J. Sel. Top. Quantum Electron. 15, 1439–1447 (2009).
    [CrossRef]
  14. A. Hosseini, D. Kwong, and R. T. Chen, “Wide steering angle optical phased array based on silicon nanomembrane,” Proc. SPIE 7221, 72210T (2009).
    [CrossRef]
  15. Y. Hu, G. A. Siviloglo, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. G. Chen, “Generation and control of accelerating Airy beams,” in Nonlinear Photonics and Novel Phenomena, Springer Series in Optical Sciences(Academic, 2012), pp. 1–45.
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    [CrossRef]
  17. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99, 213901 (2007).
    [CrossRef]
  18. Z. Zhang, Y. Hu, J. Y. Zhao, P. Zhang, and Z. G. Chen, “Research progress and application prospect of Airy beams,” Chin. Sci. Bull. 58, 3513–3520 (2013).
  19. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Ballistic dynamics of Airy beams,” Opt. Lett. 33, 207–209 (2008).
    [CrossRef]
  20. Y. Hu, P. Zhang, C. Lou, S. Huang, J. J. Xu, and Z. G. Chen, “Optimal control of the ballistic motion of Airy beams,” Opt. Lett. 35, 2260–2262 (2010).
    [CrossRef]
  21. J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express 16, 12880–12891 (2008).
    [CrossRef]
  22. I. Kaminer, M. Segev, and D. N. Christodoulides, “Self-accelerating self-trapped optical beams,” Phys. Rev. Lett. 106, 213903 (2011).
    [CrossRef]
  23. I. Dolev, I. Kaminer, A. Shapira, M. Segev, and A. Arie, “Experimental observation of self-accelerating beams in quadratic nonlinear media,” Phys. Rev. Lett. 108, 113903 (2012).
    [CrossRef]
  24. N. K. Efremidis and D. N. Christodoulides, “Abruptly autofocusing waves,” Opt. Lett. 35, 4045–4047 (2010).
    [CrossRef]
  25. P. Zhang, J. Prakash, Z. Zhang, M. S. Mills, N. K. Efremidis, D. N. Christodoulides, and Z. G. Chen, “Trapping and guiding microparticles with morphing autofocusing Airy beams,” Opt. Lett. 36, 2883–2885 (2011).
    [CrossRef]
  26. S. J. Augst, T. Y. Fan, and A. Sanchez, “Coherent beam combining and phase noise measurements of ytterbium fiber amplifiers,” Opt. Lett. 29, 474–476 (2004).
    [CrossRef]
  27. C. D. Nabors, “Effects of phase errors on coherent emitter arrays,” Appl. Opt. 33, 2284–2289 (1994).
    [CrossRef]
  28. P. F. McManamon, “Agile nonmechanical beam steering,” Opt. Photon. News 17(3), 24–29 (2006).
    [CrossRef]

2013 (1)

Z. Zhang, Y. Hu, J. Y. Zhao, P. Zhang, and Z. G. Chen, “Research progress and application prospect of Airy beams,” Chin. Sci. Bull. 58, 3513–3520 (2013).

2012 (1)

I. Dolev, I. Kaminer, A. Shapira, M. Segev, and A. Arie, “Experimental observation of self-accelerating beams in quadratic nonlinear media,” Phys. Rev. Lett. 108, 113903 (2012).
[CrossRef]

2011 (3)

2010 (5)

2009 (3)

A. Hosseini, D. Kwong, Y. Zhao, Y. S. Chen, F. Crnogorac, R. F. W. Pease, and R. T. Chen, “Unequally spaced waveguide arrays for silicon nanomembrane-based efficient large angle optical beam steering,” IEEE J. Sel. Top. Quantum Electron. 15, 1439–1447 (2009).
[CrossRef]

A. Hosseini, D. Kwong, and R. T. Chen, “Wide steering angle optical phased array based on silicon nanomembrane,” Proc. SPIE 7221, 72210T (2009).
[CrossRef]

B. G. Lee, J. Kansky, A. K. Goyal, C. Pflügl, L. Diehl, M. A. Belkin, A. Sanchez, and F. Capasso, “Beam combining of quantum cascade laser arrays,” Opt. Express 17, 16216–16224 (2009).
[CrossRef]

2008 (3)

2007 (3)

2006 (1)

P. F. McManamon, “Agile nonmechanical beam steering,” Opt. Photon. News 17(3), 24–29 (2006).
[CrossRef]

2005 (2)

S. Yin, J. H. Kim, F. Wu, P. Ruffin, and C. Luo, “Ultra-fast speed, low grating lobe optical beam steering using unequally spaced phased array technique,” Proc. SPIE 5911, 591104 (2005).
[CrossRef]

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

2004 (1)

2000 (1)

D. F. Welch, “A brief history of high-power semiconductor lasers,” IEEE J. Sel. Top. Quantum Electron. 6, 1470–1477 (2000).
[CrossRef]

1998 (1)

S. Backus, C. G. Durfee, M. M. Murnane, and H. C. Kapteyn, “High power ultrafast lasers,” Rev. Sci. Instrum. 69, 1207–1223 (1998).
[CrossRef]

1994 (1)

Alley, T. G.

Arie, A.

I. Dolev, I. Kaminer, A. Shapira, M. Segev, and A. Arie, “Experimental observation of self-accelerating beams in quadratic nonlinear media,” Phys. Rev. Lett. 108, 113903 (2012).
[CrossRef]

Augst, S. J.

Backus, S.

S. Backus, C. G. Durfee, M. M. Murnane, and H. C. Kapteyn, “High power ultrafast lasers,” Rev. Sci. Instrum. 69, 1207–1223 (1998).
[CrossRef]

Belkin, M. A.

Brantley, C.

S. Yin, J. H. Kim, J. Yao, P. Ruffin, E. Edwards, C. Brantley, and C. Luo, “Recent advances on multiple channel unequally spaced optical phased array for ultrafast LADAR,” Proc. SPIE 7056, 705619 (2008).
[CrossRef]

Bratcher, A.

Broky, J.

Capasso, F.

Chann, B.

Chen, R. T.

A. Hosseini, D. Kwong, and R. T. Chen, “Wide steering angle optical phased array based on silicon nanomembrane,” Proc. SPIE 7221, 72210T (2009).
[CrossRef]

A. Hosseini, D. Kwong, Y. Zhao, Y. S. Chen, F. Crnogorac, R. F. W. Pease, and R. T. Chen, “Unequally spaced waveguide arrays for silicon nanomembrane-based efficient large angle optical beam steering,” IEEE J. Sel. Top. Quantum Electron. 15, 1439–1447 (2009).
[CrossRef]

Chen, Y. S.

A. Hosseini, D. Kwong, Y. Zhao, Y. S. Chen, F. Crnogorac, R. F. W. Pease, and R. T. Chen, “Unequally spaced waveguide arrays for silicon nanomembrane-based efficient large angle optical beam steering,” IEEE J. Sel. Top. Quantum Electron. 15, 1439–1447 (2009).
[CrossRef]

Chen, Z. G.

Z. Zhang, Y. Hu, J. Y. Zhao, P. Zhang, and Z. G. Chen, “Research progress and application prospect of Airy beams,” Chin. Sci. Bull. 58, 3513–3520 (2013).

P. Zhang, J. Prakash, Z. Zhang, M. S. Mills, N. K. Efremidis, D. N. Christodoulides, and Z. G. Chen, “Trapping and guiding microparticles with morphing autofocusing Airy beams,” Opt. Lett. 36, 2883–2885 (2011).
[CrossRef]

Y. Hu, P. Zhang, C. Lou, S. Huang, J. J. Xu, and Z. G. Chen, “Optimal control of the ballistic motion of Airy beams,” Opt. Lett. 35, 2260–2262 (2010).
[CrossRef]

Y. Hu, G. A. Siviloglo, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. G. Chen, “Generation and control of accelerating Airy beams,” in Nonlinear Photonics and Novel Phenomena, Springer Series in Optical Sciences(Academic, 2012), pp. 1–45.

Christodoulides, D. N.

I. Kaminer, M. Segev, and D. N. Christodoulides, “Self-accelerating self-trapped optical beams,” Phys. Rev. Lett. 106, 213903 (2011).
[CrossRef]

P. Zhang, J. Prakash, Z. Zhang, M. S. Mills, N. K. Efremidis, D. N. Christodoulides, and Z. G. Chen, “Trapping and guiding microparticles with morphing autofocusing Airy beams,” Opt. Lett. 36, 2883–2885 (2011).
[CrossRef]

N. K. Efremidis and D. N. Christodoulides, “Abruptly autofocusing waves,” Opt. Lett. 35, 4045–4047 (2010).
[CrossRef]

J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express 16, 12880–12891 (2008).
[CrossRef]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Ballistic dynamics of Airy beams,” Opt. Lett. 33, 207–209 (2008).
[CrossRef]

G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32, 979–981 (2007).
[CrossRef]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Y. Hu, G. A. Siviloglo, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. G. Chen, “Generation and control of accelerating Airy beams,” in Nonlinear Photonics and Novel Phenomena, Springer Series in Optical Sciences(Academic, 2012), pp. 1–45.

Clarkson, W. A.

D. J. Richardson, J. Nilsson, and W. A. Clarkson, “High power fiber lasers: current status and future perspectives,” Opt. Soc. Am. B 27, B63–B92 (2010).

Connors, M. K.

Corkum, D. L.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, “Optical phased array technology,” in Proceedings of IEEE Conference (IEEE, 1996), pp. 268–298.

Creedon, K. J.

Crnogorac, F.

A. Hosseini, D. Kwong, Y. Zhao, Y. S. Chen, F. Crnogorac, R. F. W. Pease, and R. T. Chen, “Unequally spaced waveguide arrays for silicon nanomembrane-based efficient large angle optical beam steering,” IEEE J. Sel. Top. Quantum Electron. 15, 1439–1447 (2009).
[CrossRef]

Diehl, L.

Dogariu, A.

Dolev, I.

I. Dolev, I. Kaminer, A. Shapira, M. Segev, and A. Arie, “Experimental observation of self-accelerating beams in quadratic nonlinear media,” Phys. Rev. Lett. 108, 113903 (2012).
[CrossRef]

Dorschner, T. A.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, “Optical phased array technology,” in Proceedings of IEEE Conference (IEEE, 1996), pp. 268–298.

Durfee, C. G.

S. Backus, C. G. Durfee, M. M. Murnane, and H. C. Kapteyn, “High power ultrafast lasers,” Rev. Sci. Instrum. 69, 1207–1223 (1998).
[CrossRef]

Edwards, E.

S. Yin, J. H. Kim, J. Yao, P. Ruffin, E. Edwards, C. Brantley, and C. Luo, “Recent advances on multiple channel unequally spaced optical phased array for ultrafast LADAR,” Proc. SPIE 7056, 705619 (2008).
[CrossRef]

Efremidis, N. K.

P. Zhang, J. Prakash, Z. Zhang, M. S. Mills, N. K. Efremidis, D. N. Christodoulides, and Z. G. Chen, “Trapping and guiding microparticles with morphing autofocusing Airy beams,” Opt. Lett. 36, 2883–2885 (2011).
[CrossRef]

N. K. Efremidis and D. N. Christodoulides, “Abruptly autofocusing waves,” Opt. Lett. 35, 4045–4047 (2010).
[CrossRef]

Y. Hu, G. A. Siviloglo, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. G. Chen, “Generation and control of accelerating Airy beams,” in Nonlinear Photonics and Novel Phenomena, Springer Series in Optical Sciences(Academic, 2012), pp. 1–45.

Fan, T. Y.

Flores, A. S.

Friedman, L. J.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, “Optical phased array technology,” in Proceedings of IEEE Conference (IEEE, 1996), pp. 268–298.

Goyal, A. K.

Hecht, J.

J. Hecht, “Short history of laser development,” Opt. Eng. 49, 091002 (2010).
[CrossRef]

Hobbs, D. S.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, “Optical phased array technology,” in Proceedings of IEEE Conference (IEEE, 1996), pp. 268–298.

Holz, M.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, “Optical phased array technology,” in Proceedings of IEEE Conference (IEEE, 1996), pp. 268–298.

Hosseini, A.

A. Hosseini, D. Kwong, Y. Zhao, Y. S. Chen, F. Crnogorac, R. F. W. Pease, and R. T. Chen, “Unequally spaced waveguide arrays for silicon nanomembrane-based efficient large angle optical beam steering,” IEEE J. Sel. Top. Quantum Electron. 15, 1439–1447 (2009).
[CrossRef]

A. Hosseini, D. Kwong, and R. T. Chen, “Wide steering angle optical phased array based on silicon nanomembrane,” Proc. SPIE 7221, 72210T (2009).
[CrossRef]

Hu, Y.

Z. Zhang, Y. Hu, J. Y. Zhao, P. Zhang, and Z. G. Chen, “Research progress and application prospect of Airy beams,” Chin. Sci. Bull. 58, 3513–3520 (2013).

Y. Hu, P. Zhang, C. Lou, S. Huang, J. J. Xu, and Z. G. Chen, “Optimal control of the ballistic motion of Airy beams,” Opt. Lett. 35, 2260–2262 (2010).
[CrossRef]

Y. Hu, G. A. Siviloglo, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. G. Chen, “Generation and control of accelerating Airy beams,” in Nonlinear Photonics and Novel Phenomena, Springer Series in Optical Sciences(Academic, 2012), pp. 1–45.

Huang, R. K.

Huang, S.

Kaminer, I.

I. Dolev, I. Kaminer, A. Shapira, M. Segev, and A. Arie, “Experimental observation of self-accelerating beams in quadratic nonlinear media,” Phys. Rev. Lett. 108, 113903 (2012).
[CrossRef]

I. Kaminer, M. Segev, and D. N. Christodoulides, “Self-accelerating self-trapped optical beams,” Phys. Rev. Lett. 106, 213903 (2011).
[CrossRef]

Kansky, J.

Kansky, J. E.

Kapteyn, H. C.

S. Backus, C. G. Durfee, M. M. Murnane, and H. C. Kapteyn, “High power ultrafast lasers,” Rev. Sci. Instrum. 69, 1207–1223 (1998).
[CrossRef]

Kim, J. H.

S. Yin, J. H. Kim, J. Yao, P. Ruffin, E. Edwards, C. Brantley, and C. Luo, “Recent advances on multiple channel unequally spaced optical phased array for ultrafast LADAR,” Proc. SPIE 7056, 705619 (2008).
[CrossRef]

S. Yin, J. H. Kim, F. Wu, P. Ruffin, and C. Luo, “Ultra-fast speed, low grating lobe optical beam steering using unequally spaced phased array technique,” Proc. SPIE 5911, 591104 (2005).
[CrossRef]

Kwong, D.

A. Hosseini, D. Kwong, Y. Zhao, Y. S. Chen, F. Crnogorac, R. F. W. Pease, and R. T. Chen, “Unequally spaced waveguide arrays for silicon nanomembrane-based efficient large angle optical beam steering,” IEEE J. Sel. Top. Quantum Electron. 15, 1439–1447 (2009).
[CrossRef]

A. Hosseini, D. Kwong, and R. T. Chen, “Wide steering angle optical phased array based on silicon nanomembrane,” Proc. SPIE 7221, 72210T (2009).
[CrossRef]

Lee, B. G.

Liberman, S.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, “Optical phased array technology,” in Proceedings of IEEE Conference (IEEE, 1996), pp. 268–298.

Lou, C.

Luo, C.

S. Yin, J. H. Kim, J. Yao, P. Ruffin, E. Edwards, C. Brantley, and C. Luo, “Recent advances on multiple channel unequally spaced optical phased array for ultrafast LADAR,” Proc. SPIE 7056, 705619 (2008).
[CrossRef]

S. Yin, J. H. Kim, F. Wu, P. Ruffin, and C. Luo, “Ultra-fast speed, low grating lobe optical beam steering using unequally spaced phased array technique,” Proc. SPIE 5911, 591104 (2005).
[CrossRef]

McManamon, P. F.

P. F. McManamon, “Agile nonmechanical beam steering,” Opt. Photon. News 17(3), 24–29 (2006).
[CrossRef]

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, “Optical phased array technology,” in Proceedings of IEEE Conference (IEEE, 1996), pp. 268–298.

Mills, M. S.

Missaggia, L. J.

Murnane, M. M.

S. Backus, C. G. Durfee, M. M. Murnane, and H. C. Kapteyn, “High power ultrafast lasers,” Rev. Sci. Instrum. 69, 1207–1223 (1998).
[CrossRef]

Nabors, C. D.

Nguyen, H. Q.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, “Optical phased array technology,” in Proceedings of IEEE Conference (IEEE, 1996), pp. 268–298.

Nilsson, J.

D. J. Richardson, J. Nilsson, and W. A. Clarkson, “High power fiber lasers: current status and future perspectives,” Opt. Soc. Am. B 27, B63–B92 (2010).

Pease, R. F. W.

A. Hosseini, D. Kwong, Y. Zhao, Y. S. Chen, F. Crnogorac, R. F. W. Pease, and R. T. Chen, “Unequally spaced waveguide arrays for silicon nanomembrane-based efficient large angle optical beam steering,” IEEE J. Sel. Top. Quantum Electron. 15, 1439–1447 (2009).
[CrossRef]

Pflügl, C.

Prakash, J.

Pulford, B.

Ranka, J. K.

Redmond, S. M.

Resler, D. P.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, “Optical phased array technology,” in Proceedings of IEEE Conference (IEEE, 1996), pp. 268–298.

Richardson, D. J.

D. J. Richardson, J. Nilsson, and W. A. Clarkson, “High power fiber lasers: current status and future perspectives,” Opt. Soc. Am. B 27, B63–B92 (2010).

Ruffin, P.

S. Yin, J. H. Kim, J. Yao, P. Ruffin, E. Edwards, C. Brantley, and C. Luo, “Recent advances on multiple channel unequally spaced optical phased array for ultrafast LADAR,” Proc. SPIE 7056, 705619 (2008).
[CrossRef]

S. Yin, J. H. Kim, F. Wu, P. Ruffin, and C. Luo, “Ultra-fast speed, low grating lobe optical beam steering using unequally spaced phased array technique,” Proc. SPIE 5911, 591104 (2005).
[CrossRef]

Sanchez, A.

Sanchez, A. D.

Sanchez-Rubio, A.

Segev, M.

I. Dolev, I. Kaminer, A. Shapira, M. Segev, and A. Arie, “Experimental observation of self-accelerating beams in quadratic nonlinear media,” Phys. Rev. Lett. 108, 113903 (2012).
[CrossRef]

I. Kaminer, M. Segev, and D. N. Christodoulides, “Self-accelerating self-trapped optical beams,” Phys. Rev. Lett. 106, 213903 (2011).
[CrossRef]

Shapira, A.

I. Dolev, I. Kaminer, A. Shapira, M. Segev, and A. Arie, “Experimental observation of self-accelerating beams in quadratic nonlinear media,” Phys. Rev. Lett. 108, 113903 (2012).
[CrossRef]

Sharp, R. C.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, “Optical phased array technology,” in Proceedings of IEEE Conference (IEEE, 1996), pp. 268–298.

Siviloglo, G. A.

Y. Hu, G. A. Siviloglo, P. Zhang, N. K. Efremidis, D. N. Christodoulides, and Z. G. Chen, “Generation and control of accelerating Airy beams,” in Nonlinear Photonics and Novel Phenomena, Springer Series in Optical Sciences(Academic, 2012), pp. 1–45.

Siviloglou, G. A.

Turner, G. W.

Uberna, R.

Watson, E. A.

P. F. Mcmanamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, “Optical phased array technology,” in Proceedings of IEEE Conference (IEEE, 1996), pp. 268–298.

Welch, D. F.

D. F. Welch, “A brief history of high-power semiconductor lasers,” IEEE J. Sel. Top. Quantum Electron. 6, 1470–1477 (2000).
[CrossRef]

Wu, F.

S. Yin, J. H. Kim, F. Wu, P. Ruffin, and C. Luo, “Ultra-fast speed, low grating lobe optical beam steering using unequally spaced phased array technique,” Proc. SPIE 5911, 591104 (2005).
[CrossRef]

Xu, J. J.

Yao, J.

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Z. Zhang, Y. Hu, J. Y. Zhao, P. Zhang, and Z. G. Chen, “Research progress and application prospect of Airy beams,” Chin. Sci. Bull. 58, 3513–3520 (2013).

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Supplementary Material (3)

» Media 1: MOV (656 KB)     
» Media 2: MOV (658 KB)     
» Media 3: MOV (966 KB)     

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Figures (5)

Fig. 1.
Fig. 1.

Numerical simulation of LCC with different optical beams: (a1, b1, c1) the input Gaussian beams, 1D Airy beams, and 2D Airy beams, respectively; (a2, b2, c2) side-view propagation of different beams; (a3, b3, c3) the transverse patterns of coherent combination of different beams at 0.3 m; (d1, d2) the input and output intensity of different beams, in which the red solid line, blue dotted line, and green short dashed line denote the intensity profile of Gaussian beams, 1D Airy beams, and 2D Airy beams, respectively.

Fig. 2.
Fig. 2.

Schematic of experimental setup. PC, personal computer; SLM, spatial light modulator; L, lens; SF, spatial filter. The dashed dark line marks the position of the incident plane of beams; the red solid arrow marks the position of air turbulence generated with alcohol lamp and aluminum foil.

Fig. 3.
Fig. 3.

Experimental results of LCC with different optical beams corresponding to Fig. 1. (a1, b1, c1) the incident beam pattern of four Gaussian, 1D and 2D Airy beams, respectively; (a2, b2, c2) corresponding output beam pattern after 0.5 m of propagation; (a3, b3, c3) the beam intensity profile of (a2, b2, c2).

Fig. 4.
Fig. 4.

Effect of ambient air turbulence on propagation of the main lobe from LCC of multiple Airy beams [(a), see Media 1] and of a Gaussian beam [(b), see Media 2].

Fig. 5.
Fig. 5.

Power refocusing and steering of a Gaussian beam by splitting into four Airy beams. (a1, b1) two different phase distributions; (a2, b2) the experimental snapshots of beam spots in accordance with the two phase distributions, Media 3.

Equations (5)

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

A1D=A(x)+A(x)+A(y)+A(y),
A2D=A(x)·A(y)+A(x)·A(y)+A(x)·A(y)+A(x)·A(y),
G=g(x+d,y)+g(x,y+d)+g(xd,y)+g(x,yd),
A(x)=airy[(x+d)/f]·exp[(x+d)/f],
g(x,y)=exp[(x2+y2)/f2],

Metrics