Abstract

We demonstrate the breakup of spatial-polarization entangled lasing patterns, which possess vector phase singularities, and the resultant dynamic instabilities featuring chaotic oscillations. The frequency splitting between a pair of Ince–Gauss (IG) lasing modes, originally forming a coherent entanglement state, and a self-excited additional nonorthogonal IG mode through a new class of transverse effect of self-injection pattern seeding, is shown to result in modal-interference-induced modulation at the beat frequency, leading to chaotic oscillations.

© 2011 Optical Society of America

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    [CrossRef]
  13. K. Otsuka, J.-Y. Ko, T.-S. Lim, and H. Makino, Phys. Rev. Lett. 89, 083903 (2002).
    [CrossRef] [PubMed]

2009

2007

T. H. Lu, Y. F. Chen, and K. F. Huang, Phys. Rev. E 75, 026614 (2007).
[CrossRef]

2006

Y. F. Chen, T. H. Lu, and K. F. Huang, Phys. Rev. Lett. 96, 033901 (2006).
[CrossRef] [PubMed]

2004

M. A. Bandres and J. C. Gutiérrez-Vega, J. Opt. Soc. Am. B 21, 873 (2004).
[CrossRef]

2003

Y. F. Chen, K. F. Huang, H. C. Lai, and Y. P. Lan, Phys. Rev. Lett. 90, 053904 (2003).
[CrossRef] [PubMed]

2002

K. Otsuka, J.-Y. Ko, T.-S. Lim, and H. Makino, Phys. Rev. Lett. 89, 083903 (2002).
[CrossRef] [PubMed]

2001

K. Otsuka, J.-Y. Ko, and T. Kubota, Opt. Lett. 26, 638 (2001).
[CrossRef]

I. V. Veshneva, A. I. Konukhov, L. A. Melnikov, and M. V. Ryabinina, J. Opt. B 3, S209 (2001).
[CrossRef]

I. Freund, Opt. Commun. 199, 47 (2001).
[CrossRef]

1997

J. P. Woerdman, A. K. Jansen van Doorn, and M. P. van Exter, Laser Phys. 7, 63 (1997).

1993

L. Gil, Phys. Rev. Lett. 70, 162 (1993).
[CrossRef] [PubMed]

1992

T. Erdogan, O. King, W. Wicks, D. G. Hall, E. H. Anderson, and M. J. Rooks, Appl. Phys. Lett. 60, 1921 (1992).
[CrossRef]

Anderson, E. H.

T. Erdogan, O. King, W. Wicks, D. G. Hall, E. H. Anderson, and M. J. Rooks, Appl. Phys. Lett. 60, 1921 (1992).
[CrossRef]

Bandres, M. A.

M. A. Bandres and J. C. Gutiérrez-Vega, J. Opt. Soc. Am. B 21, 873 (2004).
[CrossRef]

Chen, Y. F.

T. H. Lu, Y. F. Chen, and K. F. Huang, Phys. Rev. E 75, 026614 (2007).
[CrossRef]

Y. F. Chen, T. H. Lu, and K. F. Huang, Phys. Rev. Lett. 96, 033901 (2006).
[CrossRef] [PubMed]

Y. F. Chen, K. F. Huang, H. C. Lai, and Y. P. Lan, Phys. Rev. Lett. 90, 053904 (2003).
[CrossRef] [PubMed]

Chu, S.-C.

Erdogan, T.

T. Erdogan, O. King, W. Wicks, D. G. Hall, E. H. Anderson, and M. J. Rooks, Appl. Phys. Lett. 60, 1921 (1992).
[CrossRef]

Freund, I.

I. Freund, Opt. Commun. 199, 47 (2001).
[CrossRef]

Gil, L.

L. Gil, Phys. Rev. Lett. 70, 162 (1993).
[CrossRef] [PubMed]

Gutiérrez-Vega, J. C.

M. A. Bandres and J. C. Gutiérrez-Vega, J. Opt. Soc. Am. B 21, 873 (2004).
[CrossRef]

Hall, D. G.

T. Erdogan, O. King, W. Wicks, D. G. Hall, E. H. Anderson, and M. J. Rooks, Appl. Phys. Lett. 60, 1921 (1992).
[CrossRef]

Huang, K. F.

T. H. Lu, Y. F. Chen, and K. F. Huang, Phys. Rev. E 75, 026614 (2007).
[CrossRef]

Y. F. Chen, T. H. Lu, and K. F. Huang, Phys. Rev. Lett. 96, 033901 (2006).
[CrossRef] [PubMed]

Y. F. Chen, K. F. Huang, H. C. Lai, and Y. P. Lan, Phys. Rev. Lett. 90, 053904 (2003).
[CrossRef] [PubMed]

Jansen van Doorn, A. K.

J. P. Woerdman, A. K. Jansen van Doorn, and M. P. van Exter, Laser Phys. 7, 63 (1997).

King, O.

T. Erdogan, O. King, W. Wicks, D. G. Hall, E. H. Anderson, and M. J. Rooks, Appl. Phys. Lett. 60, 1921 (1992).
[CrossRef]

Ko, J.-Y.

K. Otsuka, J.-Y. Ko, T.-S. Lim, and H. Makino, Phys. Rev. Lett. 89, 083903 (2002).
[CrossRef] [PubMed]

K. Otsuka, J.-Y. Ko, and T. Kubota, Opt. Lett. 26, 638 (2001).
[CrossRef]

Konukhov, A. I.

I. V. Veshneva, A. I. Konukhov, L. A. Melnikov, and M. V. Ryabinina, J. Opt. B 3, S209 (2001).
[CrossRef]

Kubota, T.

Lai, H. C.

Y. F. Chen, K. F. Huang, H. C. Lai, and Y. P. Lan, Phys. Rev. Lett. 90, 053904 (2003).
[CrossRef] [PubMed]

Lan, Y. P.

Y. F. Chen, K. F. Huang, H. C. Lai, and Y. P. Lan, Phys. Rev. Lett. 90, 053904 (2003).
[CrossRef] [PubMed]

Lim, T.-S.

K. Otsuka, J.-Y. Ko, T.-S. Lim, and H. Makino, Phys. Rev. Lett. 89, 083903 (2002).
[CrossRef] [PubMed]

Lin, C.-C.

Lu, T. H.

T. H. Lu, Y. F. Chen, and K. F. Huang, Phys. Rev. E 75, 026614 (2007).
[CrossRef]

Y. F. Chen, T. H. Lu, and K. F. Huang, Phys. Rev. Lett. 96, 033901 (2006).
[CrossRef] [PubMed]

Makino, H.

K. Otsuka, J.-Y. Ko, T.-S. Lim, and H. Makino, Phys. Rev. Lett. 89, 083903 (2002).
[CrossRef] [PubMed]

Melnikov, L. A.

I. V. Veshneva, A. I. Konukhov, L. A. Melnikov, and M. V. Ryabinina, J. Opt. B 3, S209 (2001).
[CrossRef]

Ohtomo, T.

Otsuka, K.

K. Otsuka, S.-C. Chu, C.-C. Lin, K. Tokunaga, and T. Ohtomo, Opt. Express 17, 21615 (2009).
[CrossRef] [PubMed]

K. Otsuka, J.-Y. Ko, T.-S. Lim, and H. Makino, Phys. Rev. Lett. 89, 083903 (2002).
[CrossRef] [PubMed]

K. Otsuka, J.-Y. Ko, and T. Kubota, Opt. Lett. 26, 638 (2001).
[CrossRef]

K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Springer, 2000).

Rooks, M. J.

T. Erdogan, O. King, W. Wicks, D. G. Hall, E. H. Anderson, and M. J. Rooks, Appl. Phys. Lett. 60, 1921 (1992).
[CrossRef]

Ryabinina, M. V.

I. V. Veshneva, A. I. Konukhov, L. A. Melnikov, and M. V. Ryabinina, J. Opt. B 3, S209 (2001).
[CrossRef]

Tokunaga, K.

van Exter, M. P.

J. P. Woerdman, A. K. Jansen van Doorn, and M. P. van Exter, Laser Phys. 7, 63 (1997).

Veshneva, I. V.

I. V. Veshneva, A. I. Konukhov, L. A. Melnikov, and M. V. Ryabinina, J. Opt. B 3, S209 (2001).
[CrossRef]

Wicks, W.

T. Erdogan, O. King, W. Wicks, D. G. Hall, E. H. Anderson, and M. J. Rooks, Appl. Phys. Lett. 60, 1921 (1992).
[CrossRef]

Woerdman, J. P.

J. P. Woerdman, A. K. Jansen van Doorn, and M. P. van Exter, Laser Phys. 7, 63 (1997).

Appl. Phys. Lett.

T. Erdogan, O. King, W. Wicks, D. G. Hall, E. H. Anderson, and M. J. Rooks, Appl. Phys. Lett. 60, 1921 (1992).
[CrossRef]

J. Opt. B

I. V. Veshneva, A. I. Konukhov, L. A. Melnikov, and M. V. Ryabinina, J. Opt. B 3, S209 (2001).
[CrossRef]

J. Opt. Soc. Am. B

M. A. Bandres and J. C. Gutiérrez-Vega, J. Opt. Soc. Am. B 21, 873 (2004).
[CrossRef]

Laser Phys.

J. P. Woerdman, A. K. Jansen van Doorn, and M. P. van Exter, Laser Phys. 7, 63 (1997).

Opt. Commun.

I. Freund, Opt. Commun. 199, 47 (2001).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. E

T. H. Lu, Y. F. Chen, and K. F. Huang, Phys. Rev. E 75, 026614 (2007).
[CrossRef]

Phys. Rev. Lett.

Y. F. Chen, T. H. Lu, and K. F. Huang, Phys. Rev. Lett. 96, 033901 (2006).
[CrossRef] [PubMed]

L. Gil, Phys. Rev. Lett. 70, 162 (1993).
[CrossRef] [PubMed]

Y. F. Chen, K. F. Huang, H. C. Lai, and Y. P. Lan, Phys. Rev. Lett. 90, 053904 (2003).
[CrossRef] [PubMed]

K. Otsuka, J.-Y. Ko, T.-S. Lim, and H. Makino, Phys. Rev. Lett. 89, 083903 (2002).
[CrossRef] [PubMed]

Other

K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Springer, 2000).

Supplementary Material (1)

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Figures (5)

Fig. 1
Fig. 1

Experimental setup.

Fig. 2
Fig. 2

(a) Polarization-resolved lasing patterns of a pure SPEP state formed by IG ( 2 , 2 ) modes with even and odd parities. (b) Optical spectrum and power spectrum. Pump power, P = 490 mW (Media 1).

Fig. 3
Fig. 3

Polarization-resolved patterns together with the total lasing pattern without a polarizer and observed optical spectrum with a magnified view. (a) Pump power, P = 673 mW and (b)  P = 721 mW . Polarization directions α are depicted by arrows, and tilt angles φ are shown by solid and dashed lines.

Fig. 4
Fig. 4

Theoretical SPEP patterns: (a)  IG e ( 5 , 1 ) + 0.8 e i 0 IG o ( 5 , 1 ) , ε = 1.5 and (b)  IG e ( 3 , 1 ) + 0.45 e i 0 IG e ( 3 , 1 ) , ε = 10 . The right column indicates self-excited mode(s) instead of polarization-resolved pattern(s) in the dashed box(es) (upper pattern) and the corresponding numerically reproduced IG mode(s) (lower pattern).

Fig. 5
Fig. 5

Intensity waveform and the corresponding power spectrum. (a) Chaotic spiking oscillation corresponding to Fig. 3a. (b) Chaotic relaxation oscillation corresponding to Fig. 3b.

Metrics