Abstract

We propose to combine multiple laser beams into a single diffraction-limited beam by beam self-focusing (collapse) in a Kerr medium. Beams with total power above critical are first combined in the near field and then propagated in the optical fiber/waveguide with Kerr nonlinearity. Random fluctuations during propagation eventually trigger a strong self-focusing event and produce a diffraction-limited beam carrying the critical power.

© 2014 Optical Society of America

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2013 (2)

P. M. Lushnikov, S. A. Dyachenko, and N. Vladimirova, Phys. Rev. A 88, 013845 (2013).
[CrossRef]

C. Jauregui, J. Limpert, and A. Tünnermann, Nat. Photonics 7, 861 (2013).
[CrossRef]

2012 (1)

2011 (2)

2010 (2)

2008 (2)

A. V. Smith and B. T. Do, Appl. Opt. 47, 4812 (2008).
[CrossRef]

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

2007 (1)

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

2006 (1)

P. M. Lushnikov and H. A. Rose, Plasma Phys. Controlled Fusion 48, 1501 (2006).
[CrossRef]

2005 (1)

T. Y. Fan, IEEE J. Sel. Top. Quantum Electron. 11, 567 (2005).
[CrossRef]

2004 (1)

P. M. Lushnikov and H. A. Rose, Phys. Rev. Lett. 92, 255003 (2004).
[CrossRef]

2003 (1)

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. 219, 427 (2003).
[CrossRef]

2002 (1)

1972 (1)

V. E. Zakharov, Sov. Phys. JETP 35, 908 (1972).

1971 (1)

S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 14, 1353 (1971).

Abramov, M.

V. Gapontsev, F. A. Fomin, and M. Abramov, in Proceedings of Advanced Solid-State Photonics (Optical Society of America, 2010), paper AWA1.

Agrawal, G.

G. Agrawal, Nonlinear Fiber Optics, 5th ed. (Academic, 2012).

Augst, S. J.

Barty, C.

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

Beach, R. J.

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

Bergé, L.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

Boudebs, G.

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. 219, 427 (2003).
[CrossRef]

Cherukulappurath, S.

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. 219, 427 (2003).
[CrossRef]

Chin, S. L.

Chung, Y.

Y. Chung and P. M. Lushnikov, Phys. Rev. E 84, 036602 (2011).
[CrossRef]

Clarkson, W. A.

Daigle, J.-F.

Dawson, J. W.

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

Do, B. T.

Dyachenko, S. A.

P. M. Lushnikov, S. A. Dyachenko, and N. Vladimirova, Phys. Rev. A 88, 013845 (2013).
[CrossRef]

Fan, T. Y.

Fomin, F. A.

V. Gapontsev, F. A. Fomin, and M. Abramov, in Proceedings of Advanced Solid-State Photonics (Optical Society of America, 2010), paper AWA1.

Gabitov, I. R.

Gapontsev, V.

V. Gapontsev, F. A. Fomin, and M. Abramov, in Proceedings of Advanced Solid-State Photonics (Optical Society of America, 2010), paper AWA1.

Goodno, G. D.

Heebner, J. E.

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

Hosseini, S.

Jauregui, C.

C. Jauregui, J. Limpert, and A. Tünnermann, Nat. Photonics 7, 861 (2013).
[CrossRef]

Kasparian, J.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

Kosareva, O.

Leblond, H.

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. 219, 427 (2003).
[CrossRef]

Limpert, J.

C. Jauregui, J. Limpert, and A. Tünnermann, Nat. Photonics 7, 861 (2013).
[CrossRef]

Lushnikov, P. M.

P. M. Lushnikov, S. A. Dyachenko, and N. Vladimirova, Phys. Rev. A 88, 013845 (2013).
[CrossRef]

Y. Chung and P. M. Lushnikov, Phys. Rev. E 84, 036602 (2011).
[CrossRef]

P. M. Lushnikov and N. Vladimirova, Opt. Lett. 35, 1965 (2010).
[CrossRef]

P. M. Lushnikov and H. A. Rose, Plasma Phys. Controlled Fusion 48, 1501 (2006).
[CrossRef]

P. M. Lushnikov and H. A. Rose, Phys. Rev. Lett. 92, 255003 (2004).
[CrossRef]

I. R. Gabitov and P. M. Lushnikov, Opt. Lett. 27, 113 (2002).
[CrossRef]

Makarov, V.

Messerly, M. J.

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

Nilsson, J.

Nuter, R.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

Panov, N.

Pax, P. H.

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

Petrishchev, V. A.

S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 14, 1353 (1971).

Redmond, S. M.

Richardson, D. J.

Ripin, D. J.

Rose, H. A.

P. M. Lushnikov and H. A. Rose, Plasma Phys. Controlled Fusion 48, 1501 (2006).
[CrossRef]

P. M. Lushnikov and H. A. Rose, Phys. Rev. Lett. 92, 255003 (2004).
[CrossRef]

Rothenberg, J. E.

Roy, G.

Sanchez, F.

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. 219, 427 (2003).
[CrossRef]

Shverdin, M. Y.

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

Siders, C. W.

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

Skupin, S.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

Smektala, F.

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. 219, 427 (2003).
[CrossRef]

Smith, A. V.

Sridharan, A. K.

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

Stappaerts, E. A.

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

Sulem, C.

C. Sulem and P. L. Sulem, Nonlinear Schrödinger Equations: Self-Focusing and Wave Collapse (World Scientific, 1999).

Sulem, P. L.

C. Sulem and P. L. Sulem, Nonlinear Schrödinger Equations: Self-Focusing and Wave Collapse (World Scientific, 1999).

Talanov, V. I.

S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 14, 1353 (1971).

Thielen, P. A.

Troles, J.

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. 219, 427 (2003).
[CrossRef]

Tünnermann, A.

C. Jauregui, J. Limpert, and A. Tünnermann, Nat. Photonics 7, 861 (2013).
[CrossRef]

Turitsyn, S. K.

S. K. Turitsyn, Aston University, Birmingham, UK (private communication, 2012).

Vladimirova, N.

P. M. Lushnikov, S. A. Dyachenko, and N. Vladimirova, Phys. Rev. A 88, 013845 (2013).
[CrossRef]

P. M. Lushnikov and N. Vladimirova, Opt. Lett. 35, 1965 (2010).
[CrossRef]

Vlasov, S. N.

S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 14, 1353 (1971).

Wang, T.

Wolf, J.-P.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

Yu, C. X.

Yuan, S.

Zakharov, V. E.

V. E. Zakharov, Sov. Phys. JETP 35, 908 (1972).

Appl. Opt. (1)

IEEE J. Sel. Top. Quantum Electron. (1)

T. Y. Fan, IEEE J. Sel. Top. Quantum Electron. 11, 567 (2005).
[CrossRef]

Izv. Vyssh. Uchebn. Zaved., Radiofiz. (1)

S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 14, 1353 (1971).

J. Opt. Soc. Am. B (1)

Nat. Photonics (1)

C. Jauregui, J. Limpert, and A. Tünnermann, Nat. Photonics 7, 861 (2013).
[CrossRef]

Opt. Commun. (2)

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. 219, 427 (2003).
[CrossRef]

J. W. Dawson, M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. Barty, Opt. Commun. 16, 13240 (2008).
[CrossRef]

Opt. Lett. (4)

Phys. Rev. A (1)

P. M. Lushnikov, S. A. Dyachenko, and N. Vladimirova, Phys. Rev. A 88, 013845 (2013).
[CrossRef]

Phys. Rev. E (1)

Y. Chung and P. M. Lushnikov, Phys. Rev. E 84, 036602 (2011).
[CrossRef]

Phys. Rev. Lett. (1)

P. M. Lushnikov and H. A. Rose, Phys. Rev. Lett. 92, 255003 (2004).
[CrossRef]

Plasma Phys. Controlled Fusion (1)

P. M. Lushnikov and H. A. Rose, Plasma Phys. Controlled Fusion 48, 1501 (2006).
[CrossRef]

Rep. Prog. Phys. (1)

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, Rep. Prog. Phys. 70, 1633 (2007).
[CrossRef]

Sov. Phys. JETP (1)

V. E. Zakharov, Sov. Phys. JETP 35, 908 (1972).

Other (5)

C. Sulem and P. L. Sulem, Nonlinear Schrödinger Equations: Self-Focusing and Wave Collapse (World Scientific, 1999).

V. Gapontsev, F. A. Fomin, and M. Abramov, in Proceedings of Advanced Solid-State Photonics (Optical Society of America, 2010), paper AWA1.

http://www.ipgphotonics.com .

G. Agrawal, Nonlinear Fiber Optics, 5th ed. (Academic, 2012).

S. K. Turitsyn, Aston University, Birmingham, UK (private communication, 2012).

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