Abstract

With the agility of cavity control in solid-state-laser, we report abundant experimental phenomena of relatively complete Laguerre-Gaussian (LG) transverse multimodes transformation process including both stable and transitional status in a diode pumped Nd:YVO4 microcavity laser. Cavity structure, absorber, pump power, etc, synthetically have been found to contribute such abundant generation of patterns.

© 2006 Optical Society of America

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  1. Simin Feng and Herbert G. Winful, “Higher-order transverse modes of ultrashort isodiffracting pulses,” Phy. Rev. E. 63, 1–9 (2001)
    [CrossRef]
  2. SP Hegarty, G Huyet, P Porta, JG McInerney, KD Choquette, KM Geib, and HQ Hou, “Transverse-mode structure and pattern formation in oxide-confined vertical-cavity semiconductor lasers,” J. Opt. Soc. Am. B. 16, 2060–2071 (1999)
    [CrossRef]
  3. JY Law and GP Agrawal, “Nonlinear spatio-temporal dynamics due to transverse-mode competition in gainswitched microcavity semiconductor lasers.” Opt. Commun 138, 95–98 (1997)
    [CrossRef]
  4. E. Louvergneaux, D. Dangoisse, and P. Glorieux, “Transverse mode competition in a CO2 laser,” Phy. Rev. A. 53, 4435–4438 (1996)
    [CrossRef]
  5. Kenju Otsuka, Jing-Yuan Ko, Tsong-Shin Lim, and Hironori Makino, “Modal Interference and Dynamical Instability in a Solid-State Slice Laser with Asymmetric End-Pumping,” Phy. Rev. Lett.. 89, 1–4 (2002)
    [CrossRef]
  6. Y.F. Chen, K.F. Huang, H.C. Lai, and Y.P. Lan, “Observation of Vector Vortex Lattices in Polarization States of an Isotropic Microcavity Laser,” Phy. Rev. Lett.. 90, 1–4 (2003)
    [CrossRef]
  7. Y.F. Chen, Y.P. Lan, and S.C. Wang, “Generation of Laguerre-Gaussian modes in fiber-coupled laser diode end-pumped laser,” App. Phy. B. 72, 167–170 (2001)
    [CrossRef]
  8. Y.F. Chen and Y.P. Lan, “Observation of transverse patterns in an isotropic microcavity laser,” Phy. Rev. A. 67, 043814 (2003)
    [CrossRef]
  9. Y.F Chen and Y.P. Lan, “Transverse pattern formation of optical vortices in a microcavity laser with a large Fresnel number,” Phy. Rev. A. 65, 013802-1~023802-6 (2001)
    [CrossRef]
  10. Y.F. Chen and Y.P. Lan, “Dynamics of helical-wave emission in a fiber-coupled diode end-pumped solidstate laser,” Appl. Phys. B. 73, 11–14 (2001)
    [CrossRef]
  11. Amiel A. Ishaaya, Nir Davidson, Galina Machavariani, Erez Hasman, and Asher A. Friesem, “Efficient Selection of High-Order Laguerre-Gaussian Modes in a Q-swiched Nd: YAG laser,” IEEE Quantum Electron. 39, 74–82 (2003)
    [CrossRef]
  12. A. Ishaaya, N. Davidson, and A. Friesem, “Very high-order pure Laguerre-Gaussian mode selection in a passive Q-switched Nd:YAG laser,” Opt Express,  13, 13 (2005).
    [CrossRef]
  13. H. Laabs and B. Ozygus, “Excitation of Hermite Gaussian modes in end-pumped solid-state lasers via off-axis pumping,” Opt Technol,  28, 213–214 (1996)
    [CrossRef]
  14. Y.F. Chen, T.M. Huang, C.F. Kao, C.L. wang, and S.C. Wang, “Generation of Hermite-Gaussian modes in fiber-coupled laser-diode end-pumped lasers”, IEEE Quantum Electron. 33, 1025–1031(1997)
    [CrossRef]
  15. Y. Yadin, J. Scheuer, and M. Orenstein, “Light flowers from coherent vertical-cavity surface-emitting laser arrays,” Opt. Lett. 27, 1908–1910 (2002)
    [CrossRef]
  16. R.J. Freiberg and A.S. Halsted. “Properties of low order transverse modes in argon ion lasers,” Appl. Opt. 8, 355–362 (1969)
    [CrossRef] [PubMed]
  17. Christian Degen, W. Elsaber, and Ingo Fischer, “Transverse modes in oxide confined VCSELs: Influence of pump profile, spatial hole burning, and thermal effects,” Opt. Express.38, (1999)
  18. GL Oppo, R Martin, AJ Scroggie, GK Harkness, A Lord, and WJ Firth, “Control of spatio-temporal complexity in nonlinear optics,” Chaos Solitons Fractals. 10, 865–874 (1999)
  19. M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, “Creation and Manipulation of Three-Dimensional Optically Trapped Structures,” Science. 296, 1101–1103 (2002)
    [CrossRef] [PubMed]
  20. Yao Jianquan, Nonlinear Optical Frequency Transform and Laser Tuning Technology (Science press1993), Chap. 2.
  21. Filip Sain and Hermann Riecke, “Instabilities and spatio-temporal chaos in hexagon patterns with rotaion,” Physica D. 144, 124–141 (2000)
    [CrossRef]
  22. I. Boscolo, A. Bramati, M. Malvezzi, and F. Prati, “Three-mode rotating pattern in a CO2 laser with high cylindrical symmetry,” Phys. Rev. A. 55, 738–743 (1997)
    [CrossRef]
  23. D. W. Zhang and X. C. Yuan, “Entangled double-helix phase,” Opt. Lett. 28, 1864–1866 (2003)
    [CrossRef] [PubMed]
  24. F. Prati, L. Zucchetti, and G. Molteni, “Rotating Patterns in class-B lasers with cylindrical symmetry,” Phys. Rev. A 51, 4093–4108(1995)
    [CrossRef] [PubMed]
  25. Wang Kaige, Pan QiuLi, and Yu Xingqi, “Spontaneous rotation of laser pattern,” Phys. Rev.A 59, 803–807(1999)
    [CrossRef]

2005 (1)

A. Ishaaya, N. Davidson, and A. Friesem, “Very high-order pure Laguerre-Gaussian mode selection in a passive Q-switched Nd:YAG laser,” Opt Express,  13, 13 (2005).
[CrossRef]

2003 (4)

Amiel A. Ishaaya, Nir Davidson, Galina Machavariani, Erez Hasman, and Asher A. Friesem, “Efficient Selection of High-Order Laguerre-Gaussian Modes in a Q-swiched Nd: YAG laser,” IEEE Quantum Electron. 39, 74–82 (2003)
[CrossRef]

Y.F. Chen, K.F. Huang, H.C. Lai, and Y.P. Lan, “Observation of Vector Vortex Lattices in Polarization States of an Isotropic Microcavity Laser,” Phy. Rev. Lett.. 90, 1–4 (2003)
[CrossRef]

Y.F. Chen and Y.P. Lan, “Observation of transverse patterns in an isotropic microcavity laser,” Phy. Rev. A. 67, 043814 (2003)
[CrossRef]

D. W. Zhang and X. C. Yuan, “Entangled double-helix phase,” Opt. Lett. 28, 1864–1866 (2003)
[CrossRef] [PubMed]

2002 (3)

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, “Creation and Manipulation of Three-Dimensional Optically Trapped Structures,” Science. 296, 1101–1103 (2002)
[CrossRef] [PubMed]

Kenju Otsuka, Jing-Yuan Ko, Tsong-Shin Lim, and Hironori Makino, “Modal Interference and Dynamical Instability in a Solid-State Slice Laser with Asymmetric End-Pumping,” Phy. Rev. Lett.. 89, 1–4 (2002)
[CrossRef]

Y. Yadin, J. Scheuer, and M. Orenstein, “Light flowers from coherent vertical-cavity surface-emitting laser arrays,” Opt. Lett. 27, 1908–1910 (2002)
[CrossRef]

2001 (4)

Y.F Chen and Y.P. Lan, “Transverse pattern formation of optical vortices in a microcavity laser with a large Fresnel number,” Phy. Rev. A. 65, 013802-1~023802-6 (2001)
[CrossRef]

Y.F. Chen and Y.P. Lan, “Dynamics of helical-wave emission in a fiber-coupled diode end-pumped solidstate laser,” Appl. Phys. B. 73, 11–14 (2001)
[CrossRef]

Y.F. Chen, Y.P. Lan, and S.C. Wang, “Generation of Laguerre-Gaussian modes in fiber-coupled laser diode end-pumped laser,” App. Phy. B. 72, 167–170 (2001)
[CrossRef]

Simin Feng and Herbert G. Winful, “Higher-order transverse modes of ultrashort isodiffracting pulses,” Phy. Rev. E. 63, 1–9 (2001)
[CrossRef]

2000 (1)

Filip Sain and Hermann Riecke, “Instabilities and spatio-temporal chaos in hexagon patterns with rotaion,” Physica D. 144, 124–141 (2000)
[CrossRef]

1999 (3)

Wang Kaige, Pan QiuLi, and Yu Xingqi, “Spontaneous rotation of laser pattern,” Phys. Rev.A 59, 803–807(1999)
[CrossRef]

SP Hegarty, G Huyet, P Porta, JG McInerney, KD Choquette, KM Geib, and HQ Hou, “Transverse-mode structure and pattern formation in oxide-confined vertical-cavity semiconductor lasers,” J. Opt. Soc. Am. B. 16, 2060–2071 (1999)
[CrossRef]

GL Oppo, R Martin, AJ Scroggie, GK Harkness, A Lord, and WJ Firth, “Control of spatio-temporal complexity in nonlinear optics,” Chaos Solitons Fractals. 10, 865–874 (1999)

1997 (3)

Y.F. Chen, T.M. Huang, C.F. Kao, C.L. wang, and S.C. Wang, “Generation of Hermite-Gaussian modes in fiber-coupled laser-diode end-pumped lasers”, IEEE Quantum Electron. 33, 1025–1031(1997)
[CrossRef]

JY Law and GP Agrawal, “Nonlinear spatio-temporal dynamics due to transverse-mode competition in gainswitched microcavity semiconductor lasers.” Opt. Commun 138, 95–98 (1997)
[CrossRef]

I. Boscolo, A. Bramati, M. Malvezzi, and F. Prati, “Three-mode rotating pattern in a CO2 laser with high cylindrical symmetry,” Phys. Rev. A. 55, 738–743 (1997)
[CrossRef]

1996 (2)

E. Louvergneaux, D. Dangoisse, and P. Glorieux, “Transverse mode competition in a CO2 laser,” Phy. Rev. A. 53, 4435–4438 (1996)
[CrossRef]

H. Laabs and B. Ozygus, “Excitation of Hermite Gaussian modes in end-pumped solid-state lasers via off-axis pumping,” Opt Technol,  28, 213–214 (1996)
[CrossRef]

1995 (1)

F. Prati, L. Zucchetti, and G. Molteni, “Rotating Patterns in class-B lasers with cylindrical symmetry,” Phys. Rev. A 51, 4093–4108(1995)
[CrossRef] [PubMed]

1969 (1)

Agrawal, GP

JY Law and GP Agrawal, “Nonlinear spatio-temporal dynamics due to transverse-mode competition in gainswitched microcavity semiconductor lasers.” Opt. Commun 138, 95–98 (1997)
[CrossRef]

Arlt, J.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, “Creation and Manipulation of Three-Dimensional Optically Trapped Structures,” Science. 296, 1101–1103 (2002)
[CrossRef] [PubMed]

Boscolo, I.

I. Boscolo, A. Bramati, M. Malvezzi, and F. Prati, “Three-mode rotating pattern in a CO2 laser with high cylindrical symmetry,” Phys. Rev. A. 55, 738–743 (1997)
[CrossRef]

Bramati, A.

I. Boscolo, A. Bramati, M. Malvezzi, and F. Prati, “Three-mode rotating pattern in a CO2 laser with high cylindrical symmetry,” Phys. Rev. A. 55, 738–743 (1997)
[CrossRef]

Chen, Y.F

Y.F Chen and Y.P. Lan, “Transverse pattern formation of optical vortices in a microcavity laser with a large Fresnel number,” Phy. Rev. A. 65, 013802-1~023802-6 (2001)
[CrossRef]

Chen, Y.F.

Y.F. Chen and Y.P. Lan, “Observation of transverse patterns in an isotropic microcavity laser,” Phy. Rev. A. 67, 043814 (2003)
[CrossRef]

Y.F. Chen, K.F. Huang, H.C. Lai, and Y.P. Lan, “Observation of Vector Vortex Lattices in Polarization States of an Isotropic Microcavity Laser,” Phy. Rev. Lett.. 90, 1–4 (2003)
[CrossRef]

Y.F. Chen, Y.P. Lan, and S.C. Wang, “Generation of Laguerre-Gaussian modes in fiber-coupled laser diode end-pumped laser,” App. Phy. B. 72, 167–170 (2001)
[CrossRef]

Y.F. Chen and Y.P. Lan, “Dynamics of helical-wave emission in a fiber-coupled diode end-pumped solidstate laser,” Appl. Phys. B. 73, 11–14 (2001)
[CrossRef]

Y.F. Chen, T.M. Huang, C.F. Kao, C.L. wang, and S.C. Wang, “Generation of Hermite-Gaussian modes in fiber-coupled laser-diode end-pumped lasers”, IEEE Quantum Electron. 33, 1025–1031(1997)
[CrossRef]

Choquette, KD

SP Hegarty, G Huyet, P Porta, JG McInerney, KD Choquette, KM Geib, and HQ Hou, “Transverse-mode structure and pattern formation in oxide-confined vertical-cavity semiconductor lasers,” J. Opt. Soc. Am. B. 16, 2060–2071 (1999)
[CrossRef]

Dangoisse, D.

E. Louvergneaux, D. Dangoisse, and P. Glorieux, “Transverse mode competition in a CO2 laser,” Phy. Rev. A. 53, 4435–4438 (1996)
[CrossRef]

Davidson, N.

A. Ishaaya, N. Davidson, and A. Friesem, “Very high-order pure Laguerre-Gaussian mode selection in a passive Q-switched Nd:YAG laser,” Opt Express,  13, 13 (2005).
[CrossRef]

Davidson, Nir

Amiel A. Ishaaya, Nir Davidson, Galina Machavariani, Erez Hasman, and Asher A. Friesem, “Efficient Selection of High-Order Laguerre-Gaussian Modes in a Q-swiched Nd: YAG laser,” IEEE Quantum Electron. 39, 74–82 (2003)
[CrossRef]

Degen, Christian

Christian Degen, W. Elsaber, and Ingo Fischer, “Transverse modes in oxide confined VCSELs: Influence of pump profile, spatial hole burning, and thermal effects,” Opt. Express.38, (1999)

Dholakia, K.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, “Creation and Manipulation of Three-Dimensional Optically Trapped Structures,” Science. 296, 1101–1103 (2002)
[CrossRef] [PubMed]

Elsaber, W.

Christian Degen, W. Elsaber, and Ingo Fischer, “Transverse modes in oxide confined VCSELs: Influence of pump profile, spatial hole burning, and thermal effects,” Opt. Express.38, (1999)

Feng, Simin

Simin Feng and Herbert G. Winful, “Higher-order transverse modes of ultrashort isodiffracting pulses,” Phy. Rev. E. 63, 1–9 (2001)
[CrossRef]

Firth, WJ

GL Oppo, R Martin, AJ Scroggie, GK Harkness, A Lord, and WJ Firth, “Control of spatio-temporal complexity in nonlinear optics,” Chaos Solitons Fractals. 10, 865–874 (1999)

Fischer, Ingo

Christian Degen, W. Elsaber, and Ingo Fischer, “Transverse modes in oxide confined VCSELs: Influence of pump profile, spatial hole burning, and thermal effects,” Opt. Express.38, (1999)

Freiberg, R.J.

Friesem, A.

A. Ishaaya, N. Davidson, and A. Friesem, “Very high-order pure Laguerre-Gaussian mode selection in a passive Q-switched Nd:YAG laser,” Opt Express,  13, 13 (2005).
[CrossRef]

Friesem, Asher A.

Amiel A. Ishaaya, Nir Davidson, Galina Machavariani, Erez Hasman, and Asher A. Friesem, “Efficient Selection of High-Order Laguerre-Gaussian Modes in a Q-swiched Nd: YAG laser,” IEEE Quantum Electron. 39, 74–82 (2003)
[CrossRef]

Geib, KM

SP Hegarty, G Huyet, P Porta, JG McInerney, KD Choquette, KM Geib, and HQ Hou, “Transverse-mode structure and pattern formation in oxide-confined vertical-cavity semiconductor lasers,” J. Opt. Soc. Am. B. 16, 2060–2071 (1999)
[CrossRef]

Glorieux, P.

E. Louvergneaux, D. Dangoisse, and P. Glorieux, “Transverse mode competition in a CO2 laser,” Phy. Rev. A. 53, 4435–4438 (1996)
[CrossRef]

Halsted, A.S.

Harkness, GK

GL Oppo, R Martin, AJ Scroggie, GK Harkness, A Lord, and WJ Firth, “Control of spatio-temporal complexity in nonlinear optics,” Chaos Solitons Fractals. 10, 865–874 (1999)

Hasman, Erez

Amiel A. Ishaaya, Nir Davidson, Galina Machavariani, Erez Hasman, and Asher A. Friesem, “Efficient Selection of High-Order Laguerre-Gaussian Modes in a Q-swiched Nd: YAG laser,” IEEE Quantum Electron. 39, 74–82 (2003)
[CrossRef]

Hegarty, SP

SP Hegarty, G Huyet, P Porta, JG McInerney, KD Choquette, KM Geib, and HQ Hou, “Transverse-mode structure and pattern formation in oxide-confined vertical-cavity semiconductor lasers,” J. Opt. Soc. Am. B. 16, 2060–2071 (1999)
[CrossRef]

Hou, HQ

SP Hegarty, G Huyet, P Porta, JG McInerney, KD Choquette, KM Geib, and HQ Hou, “Transverse-mode structure and pattern formation in oxide-confined vertical-cavity semiconductor lasers,” J. Opt. Soc. Am. B. 16, 2060–2071 (1999)
[CrossRef]

Huang, K.F.

Y.F. Chen, K.F. Huang, H.C. Lai, and Y.P. Lan, “Observation of Vector Vortex Lattices in Polarization States of an Isotropic Microcavity Laser,” Phy. Rev. Lett.. 90, 1–4 (2003)
[CrossRef]

Huang, T.M.

Y.F. Chen, T.M. Huang, C.F. Kao, C.L. wang, and S.C. Wang, “Generation of Hermite-Gaussian modes in fiber-coupled laser-diode end-pumped lasers”, IEEE Quantum Electron. 33, 1025–1031(1997)
[CrossRef]

Huyet, G

SP Hegarty, G Huyet, P Porta, JG McInerney, KD Choquette, KM Geib, and HQ Hou, “Transverse-mode structure and pattern formation in oxide-confined vertical-cavity semiconductor lasers,” J. Opt. Soc. Am. B. 16, 2060–2071 (1999)
[CrossRef]

Ishaaya, A.

A. Ishaaya, N. Davidson, and A. Friesem, “Very high-order pure Laguerre-Gaussian mode selection in a passive Q-switched Nd:YAG laser,” Opt Express,  13, 13 (2005).
[CrossRef]

Ishaaya, Amiel A.

Amiel A. Ishaaya, Nir Davidson, Galina Machavariani, Erez Hasman, and Asher A. Friesem, “Efficient Selection of High-Order Laguerre-Gaussian Modes in a Q-swiched Nd: YAG laser,” IEEE Quantum Electron. 39, 74–82 (2003)
[CrossRef]

Jianquan, Yao

Yao Jianquan, Nonlinear Optical Frequency Transform and Laser Tuning Technology (Science press1993), Chap. 2.

Kaige, Wang

Wang Kaige, Pan QiuLi, and Yu Xingqi, “Spontaneous rotation of laser pattern,” Phys. Rev.A 59, 803–807(1999)
[CrossRef]

Kao, C.F.

Y.F. Chen, T.M. Huang, C.F. Kao, C.L. wang, and S.C. Wang, “Generation of Hermite-Gaussian modes in fiber-coupled laser-diode end-pumped lasers”, IEEE Quantum Electron. 33, 1025–1031(1997)
[CrossRef]

Ko, Jing-Yuan

Kenju Otsuka, Jing-Yuan Ko, Tsong-Shin Lim, and Hironori Makino, “Modal Interference and Dynamical Instability in a Solid-State Slice Laser with Asymmetric End-Pumping,” Phy. Rev. Lett.. 89, 1–4 (2002)
[CrossRef]

Laabs, H.

H. Laabs and B. Ozygus, “Excitation of Hermite Gaussian modes in end-pumped solid-state lasers via off-axis pumping,” Opt Technol,  28, 213–214 (1996)
[CrossRef]

Lai, H.C.

Y.F. Chen, K.F. Huang, H.C. Lai, and Y.P. Lan, “Observation of Vector Vortex Lattices in Polarization States of an Isotropic Microcavity Laser,” Phy. Rev. Lett.. 90, 1–4 (2003)
[CrossRef]

Lan, Y.P.

Y.F. Chen, K.F. Huang, H.C. Lai, and Y.P. Lan, “Observation of Vector Vortex Lattices in Polarization States of an Isotropic Microcavity Laser,” Phy. Rev. Lett.. 90, 1–4 (2003)
[CrossRef]

Y.F. Chen and Y.P. Lan, “Observation of transverse patterns in an isotropic microcavity laser,” Phy. Rev. A. 67, 043814 (2003)
[CrossRef]

Y.F Chen and Y.P. Lan, “Transverse pattern formation of optical vortices in a microcavity laser with a large Fresnel number,” Phy. Rev. A. 65, 013802-1~023802-6 (2001)
[CrossRef]

Y.F. Chen, Y.P. Lan, and S.C. Wang, “Generation of Laguerre-Gaussian modes in fiber-coupled laser diode end-pumped laser,” App. Phy. B. 72, 167–170 (2001)
[CrossRef]

Y.F. Chen and Y.P. Lan, “Dynamics of helical-wave emission in a fiber-coupled diode end-pumped solidstate laser,” Appl. Phys. B. 73, 11–14 (2001)
[CrossRef]

Law, JY

JY Law and GP Agrawal, “Nonlinear spatio-temporal dynamics due to transverse-mode competition in gainswitched microcavity semiconductor lasers.” Opt. Commun 138, 95–98 (1997)
[CrossRef]

Lim, Tsong-Shin

Kenju Otsuka, Jing-Yuan Ko, Tsong-Shin Lim, and Hironori Makino, “Modal Interference and Dynamical Instability in a Solid-State Slice Laser with Asymmetric End-Pumping,” Phy. Rev. Lett.. 89, 1–4 (2002)
[CrossRef]

Lord, A

GL Oppo, R Martin, AJ Scroggie, GK Harkness, A Lord, and WJ Firth, “Control of spatio-temporal complexity in nonlinear optics,” Chaos Solitons Fractals. 10, 865–874 (1999)

Louvergneaux, E.

E. Louvergneaux, D. Dangoisse, and P. Glorieux, “Transverse mode competition in a CO2 laser,” Phy. Rev. A. 53, 4435–4438 (1996)
[CrossRef]

MacDonald, M. P.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, “Creation and Manipulation of Three-Dimensional Optically Trapped Structures,” Science. 296, 1101–1103 (2002)
[CrossRef] [PubMed]

Machavariani, Galina

Amiel A. Ishaaya, Nir Davidson, Galina Machavariani, Erez Hasman, and Asher A. Friesem, “Efficient Selection of High-Order Laguerre-Gaussian Modes in a Q-swiched Nd: YAG laser,” IEEE Quantum Electron. 39, 74–82 (2003)
[CrossRef]

Makino, Hironori

Kenju Otsuka, Jing-Yuan Ko, Tsong-Shin Lim, and Hironori Makino, “Modal Interference and Dynamical Instability in a Solid-State Slice Laser with Asymmetric End-Pumping,” Phy. Rev. Lett.. 89, 1–4 (2002)
[CrossRef]

Malvezzi, M.

I. Boscolo, A. Bramati, M. Malvezzi, and F. Prati, “Three-mode rotating pattern in a CO2 laser with high cylindrical symmetry,” Phys. Rev. A. 55, 738–743 (1997)
[CrossRef]

Martin, R

GL Oppo, R Martin, AJ Scroggie, GK Harkness, A Lord, and WJ Firth, “Control of spatio-temporal complexity in nonlinear optics,” Chaos Solitons Fractals. 10, 865–874 (1999)

McInerney, JG

SP Hegarty, G Huyet, P Porta, JG McInerney, KD Choquette, KM Geib, and HQ Hou, “Transverse-mode structure and pattern formation in oxide-confined vertical-cavity semiconductor lasers,” J. Opt. Soc. Am. B. 16, 2060–2071 (1999)
[CrossRef]

Molteni, G.

F. Prati, L. Zucchetti, and G. Molteni, “Rotating Patterns in class-B lasers with cylindrical symmetry,” Phys. Rev. A 51, 4093–4108(1995)
[CrossRef] [PubMed]

Oppo, GL

GL Oppo, R Martin, AJ Scroggie, GK Harkness, A Lord, and WJ Firth, “Control of spatio-temporal complexity in nonlinear optics,” Chaos Solitons Fractals. 10, 865–874 (1999)

Orenstein, M.

Otsuka, Kenju

Kenju Otsuka, Jing-Yuan Ko, Tsong-Shin Lim, and Hironori Makino, “Modal Interference and Dynamical Instability in a Solid-State Slice Laser with Asymmetric End-Pumping,” Phy. Rev. Lett.. 89, 1–4 (2002)
[CrossRef]

Ozygus, B.

H. Laabs and B. Ozygus, “Excitation of Hermite Gaussian modes in end-pumped solid-state lasers via off-axis pumping,” Opt Technol,  28, 213–214 (1996)
[CrossRef]

Paterson, L.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, “Creation and Manipulation of Three-Dimensional Optically Trapped Structures,” Science. 296, 1101–1103 (2002)
[CrossRef] [PubMed]

Porta, P

SP Hegarty, G Huyet, P Porta, JG McInerney, KD Choquette, KM Geib, and HQ Hou, “Transverse-mode structure and pattern formation in oxide-confined vertical-cavity semiconductor lasers,” J. Opt. Soc. Am. B. 16, 2060–2071 (1999)
[CrossRef]

Prati, F.

I. Boscolo, A. Bramati, M. Malvezzi, and F. Prati, “Three-mode rotating pattern in a CO2 laser with high cylindrical symmetry,” Phys. Rev. A. 55, 738–743 (1997)
[CrossRef]

F. Prati, L. Zucchetti, and G. Molteni, “Rotating Patterns in class-B lasers with cylindrical symmetry,” Phys. Rev. A 51, 4093–4108(1995)
[CrossRef] [PubMed]

QiuLi, Pan

Wang Kaige, Pan QiuLi, and Yu Xingqi, “Spontaneous rotation of laser pattern,” Phys. Rev.A 59, 803–807(1999)
[CrossRef]

Riecke, Hermann

Filip Sain and Hermann Riecke, “Instabilities and spatio-temporal chaos in hexagon patterns with rotaion,” Physica D. 144, 124–141 (2000)
[CrossRef]

Sain, Filip

Filip Sain and Hermann Riecke, “Instabilities and spatio-temporal chaos in hexagon patterns with rotaion,” Physica D. 144, 124–141 (2000)
[CrossRef]

Scheuer, J.

Scroggie, AJ

GL Oppo, R Martin, AJ Scroggie, GK Harkness, A Lord, and WJ Firth, “Control of spatio-temporal complexity in nonlinear optics,” Chaos Solitons Fractals. 10, 865–874 (1999)

Sibbett, W.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, “Creation and Manipulation of Three-Dimensional Optically Trapped Structures,” Science. 296, 1101–1103 (2002)
[CrossRef] [PubMed]

Volke-Sepulveda, K.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, “Creation and Manipulation of Three-Dimensional Optically Trapped Structures,” Science. 296, 1101–1103 (2002)
[CrossRef] [PubMed]

wang, C.L.

Y.F. Chen, T.M. Huang, C.F. Kao, C.L. wang, and S.C. Wang, “Generation of Hermite-Gaussian modes in fiber-coupled laser-diode end-pumped lasers”, IEEE Quantum Electron. 33, 1025–1031(1997)
[CrossRef]

Wang, S.C.

Y.F. Chen, Y.P. Lan, and S.C. Wang, “Generation of Laguerre-Gaussian modes in fiber-coupled laser diode end-pumped laser,” App. Phy. B. 72, 167–170 (2001)
[CrossRef]

Y.F. Chen, T.M. Huang, C.F. Kao, C.L. wang, and S.C. Wang, “Generation of Hermite-Gaussian modes in fiber-coupled laser-diode end-pumped lasers”, IEEE Quantum Electron. 33, 1025–1031(1997)
[CrossRef]

Winful, Herbert G.

Simin Feng and Herbert G. Winful, “Higher-order transverse modes of ultrashort isodiffracting pulses,” Phy. Rev. E. 63, 1–9 (2001)
[CrossRef]

Xingqi, Yu

Wang Kaige, Pan QiuLi, and Yu Xingqi, “Spontaneous rotation of laser pattern,” Phys. Rev.A 59, 803–807(1999)
[CrossRef]

Yadin, Y.

Yuan, X. C.

Zhang, D. W.

Zucchetti, L.

F. Prati, L. Zucchetti, and G. Molteni, “Rotating Patterns in class-B lasers with cylindrical symmetry,” Phys. Rev. A 51, 4093–4108(1995)
[CrossRef] [PubMed]

App. Phy. B. (1)

Y.F. Chen, Y.P. Lan, and S.C. Wang, “Generation of Laguerre-Gaussian modes in fiber-coupled laser diode end-pumped laser,” App. Phy. B. 72, 167–170 (2001)
[CrossRef]

Appl. Opt. (1)

Appl. Phys. B. (1)

Y.F. Chen and Y.P. Lan, “Dynamics of helical-wave emission in a fiber-coupled diode end-pumped solidstate laser,” Appl. Phys. B. 73, 11–14 (2001)
[CrossRef]

Chaos Solitons Fractals. (1)

GL Oppo, R Martin, AJ Scroggie, GK Harkness, A Lord, and WJ Firth, “Control of spatio-temporal complexity in nonlinear optics,” Chaos Solitons Fractals. 10, 865–874 (1999)

IEEE Quantum Electron. (2)

Y.F. Chen, T.M. Huang, C.F. Kao, C.L. wang, and S.C. Wang, “Generation of Hermite-Gaussian modes in fiber-coupled laser-diode end-pumped lasers”, IEEE Quantum Electron. 33, 1025–1031(1997)
[CrossRef]

Amiel A. Ishaaya, Nir Davidson, Galina Machavariani, Erez Hasman, and Asher A. Friesem, “Efficient Selection of High-Order Laguerre-Gaussian Modes in a Q-swiched Nd: YAG laser,” IEEE Quantum Electron. 39, 74–82 (2003)
[CrossRef]

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

SP Hegarty, G Huyet, P Porta, JG McInerney, KD Choquette, KM Geib, and HQ Hou, “Transverse-mode structure and pattern formation in oxide-confined vertical-cavity semiconductor lasers,” J. Opt. Soc. Am. B. 16, 2060–2071 (1999)
[CrossRef]

Opt Express (1)

A. Ishaaya, N. Davidson, and A. Friesem, “Very high-order pure Laguerre-Gaussian mode selection in a passive Q-switched Nd:YAG laser,” Opt Express,  13, 13 (2005).
[CrossRef]

Opt Technol (1)

H. Laabs and B. Ozygus, “Excitation of Hermite Gaussian modes in end-pumped solid-state lasers via off-axis pumping,” Opt Technol,  28, 213–214 (1996)
[CrossRef]

Opt. Commun (1)

JY Law and GP Agrawal, “Nonlinear spatio-temporal dynamics due to transverse-mode competition in gainswitched microcavity semiconductor lasers.” Opt. Commun 138, 95–98 (1997)
[CrossRef]

Opt. Lett. (2)

Phy. Rev. A. (3)

Y.F. Chen and Y.P. Lan, “Observation of transverse patterns in an isotropic microcavity laser,” Phy. Rev. A. 67, 043814 (2003)
[CrossRef]

Y.F Chen and Y.P. Lan, “Transverse pattern formation of optical vortices in a microcavity laser with a large Fresnel number,” Phy. Rev. A. 65, 013802-1~023802-6 (2001)
[CrossRef]

E. Louvergneaux, D. Dangoisse, and P. Glorieux, “Transverse mode competition in a CO2 laser,” Phy. Rev. A. 53, 4435–4438 (1996)
[CrossRef]

Phy. Rev. E. (1)

Simin Feng and Herbert G. Winful, “Higher-order transverse modes of ultrashort isodiffracting pulses,” Phy. Rev. E. 63, 1–9 (2001)
[CrossRef]

Phy. Rev. Lett.. (2)

Kenju Otsuka, Jing-Yuan Ko, Tsong-Shin Lim, and Hironori Makino, “Modal Interference and Dynamical Instability in a Solid-State Slice Laser with Asymmetric End-Pumping,” Phy. Rev. Lett.. 89, 1–4 (2002)
[CrossRef]

Y.F. Chen, K.F. Huang, H.C. Lai, and Y.P. Lan, “Observation of Vector Vortex Lattices in Polarization States of an Isotropic Microcavity Laser,” Phy. Rev. Lett.. 90, 1–4 (2003)
[CrossRef]

Phys. Rev. A (1)

F. Prati, L. Zucchetti, and G. Molteni, “Rotating Patterns in class-B lasers with cylindrical symmetry,” Phys. Rev. A 51, 4093–4108(1995)
[CrossRef] [PubMed]

Phys. Rev. A. (1)

I. Boscolo, A. Bramati, M. Malvezzi, and F. Prati, “Three-mode rotating pattern in a CO2 laser with high cylindrical symmetry,” Phys. Rev. A. 55, 738–743 (1997)
[CrossRef]

Phys. Rev.A (1)

Wang Kaige, Pan QiuLi, and Yu Xingqi, “Spontaneous rotation of laser pattern,” Phys. Rev.A 59, 803–807(1999)
[CrossRef]

Physica D. (1)

Filip Sain and Hermann Riecke, “Instabilities and spatio-temporal chaos in hexagon patterns with rotaion,” Physica D. 144, 124–141 (2000)
[CrossRef]

Science. (1)

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, “Creation and Manipulation of Three-Dimensional Optically Trapped Structures,” Science. 296, 1101–1103 (2002)
[CrossRef] [PubMed]

Other (2)

Yao Jianquan, Nonlinear Optical Frequency Transform and Laser Tuning Technology (Science press1993), Chap. 2.

Christian Degen, W. Elsaber, and Ingo Fischer, “Transverse modes in oxide confined VCSELs: Influence of pump profile, spatial hole burning, and thermal effects,” Opt. Express.38, (1999)

Supplementary Material (2)

» Media 1: MOV (8280 KB)     
» Media 2: MOV (8308 KB)     

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Figures (6)

Fig. 1.
Fig. 1.

The experimental setup

Fig. 2.
Fig. 2.

Typical patterns observed in the experiment

Fig. 3.
Fig. 3.

Some simulated patterns by Mathematia and the specific decomposition of each simulated mode

Fig. 4.
Fig. 4.

The approximately hexagonal cross section of the coupled fibers used experimentally

Fig. 5.
Fig. 5.

Hexagonal pattern. (a)Hexagonal pattern observed experimentally (b)Simulated hexagonal pattern

Fig. 6.
Fig. 6.

The output pattern (corresponds to the rotating pattern in video.2)

Metrics