Abstract

Synchronization of chaos among a single pair of transverse modes featuring intermode dynamical non-independence, resulting from cross-saturation of modal population inversions and coherent modal field coupling, is explored in a thin-slice solid-state laser with coupled orthogonally polarized transverse modes operating in quasi-locked states. The chaotic signals that are created in one of the pairing modes (sender) by self-mixing modulations are shown to be transferred solely to the partner mode (receiver) among all the other modal fields with different polarizations. The experimental results are reproduced in a simulation of a model equation of coupled laser modes subjected to self-mixing modulations.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2019 (1)

T. Jüngling, X. Porte, N. Oliver, M. C. Soriano, and I. Fischer, “A unifying analysis of chaos synchronization and consistency in delay-coupled semiconductor lasers,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

2018 (1)

2017 (1)

K. Otsuka and S.-C. Chu, “Spontaneous generation of vortex and coherent vector beams from a thin-slice c-cut Nd: GdVO4 laser with wide-aperture laser-diode end pumping: application to highly sensitive rotational and translational Doppler velocimetry,” Laser Phys. Lett. 14(7), 075002 (2017).
[Crossref]

2012 (1)

K. Otsuka, “Self-mixing interference effect in a microchip solid-state vector laser,” J. Appl. Phys. 51(8R), 080203 (2012).
[Crossref]

2011 (1)

K. Otsuka, “Self-mixing thin-slice solid-state laser metrology,” Sensors 11(2), 2195–2245 (2011).
[Crossref]

2009 (1)

2007 (5)

J.-Y. Ko, C.-C. Lin, K. Otsuka, Y. Miyasaka, K. Kamikariya, K. Nemoto, M.-C. Ho, and I.-M. Jiang, “Experimental observations of dual-polarization oscillations in laser-diode-pumped wide-aperture Nd: GdVO4 lasers,” Opt. Express 15(3), 945–954 (2007).
[Crossref]

T. H. Lu, Y. F. Chen, and K. F. Huang, “Generation of polarization-entangled optical coherent waves and manifestation of vector singularity patterns,” Phys. Rev. E 75(2), 026614 (2007).
[Crossref]

M.-D. Wei, C.-L. Liu, and Y.-L. Lu, “Chaos synchronization in solid-state lasers with cavity-configuration-dependent instabilities,” J. Opt. A: Pure Appl. Opt. 9(11), 1034–1040 (2007).
[Crossref]

M. Sciamanna, I. Gatare, A. Locquet, and K. Panajotov, “Polarization synchronization in unidirectionally coupled vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. E 75(5), 056213 (2007).
[Crossref]

K. Otsuka, K. Nemoto, K. Kamikariya, Y. Miyasaka, J.-Y. Ko, and C.-C. Lin, “Chaos synchronization among orthogonally polarized emissions in a dual-polarization laser,” Phys. Rev. E 76(2), 026204 (2007).
[Crossref]

2006 (2)

2005 (1)

2004 (1)

2003 (1)

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. San Migel, “Polarization message encoding through vectorial chaos synchronization in Vertical-Cavity Surface-Emitting Laser,” Phys. Rev. Lett. 90(11), 113901 (2003).
[Crossref]

2002 (3)

K. Otsuka, T. Ohtomo, A. Yoshioka, and J.-Y. Ko, “Collective chaos synchronization of pairs of modes in a chaotic three-mode laser,” Chaos 12(3), 678–687 (2002).
[Crossref]

Y. Liu, Y. Takiguchi, P. Davis, and T. Aida, “Experimental observation of complete chaos synchronization in semiconductor lasers,” Appl. Phys. Lett. 80(23), 4306–4308 (2002).
[Crossref]

J. Ohtsubo, “Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback,” IEEE J. Quantum Electron. 38(9), 1141–1154 (2002).
[Crossref]

2001 (2)

T. Heil, I. Fischer, W. Elsässer, J. Mulet, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86(5), 795–798 (2001).
[Crossref]

S. Tang and J. M. Liu, “Message encoding-decoding at 2.5 Gbit/s through synchronization of chaotic pulsing semiconductor lasers,” Opt. Lett. 26(23), 1843 (2001).
[Crossref]

2000 (4)

H. Fujimoto and J. Ohtsubo, “Experimental synchronization of chaotic oscillations in external-cavity semiconductor laser,” Opt. Lett. 25(9), 625 (2000).
[Crossref]

K. Otsuka, R. Kawai, S. L. Hwong, J.-Y. Ko, and J.-L. Chern, “Synchronization of mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84(14), 3049–3052 (2000).
[Crossref]

I. Fischer, Y. Liu, and P. Davis, “Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scale and its potential for chaos communication,” Phys. Rev. A 62(1), 011801 (2000).
[Crossref]

R. Oron, S. Blit, N. Davidson, and A. Friesem, “The formation of laser beam with pure azimuthal or radial polarization,” Appl. Phys. Lett. 77(21), 3322–3324 (2000).
[Crossref]

1999 (2)

J. R. Terry, S. Thornburg, D. J. DeShazer, G. D. VanWiggeren, S. Zhu, P. Ashwin, and R. Roy, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59(4), 4036–4043 (1999).
[Crossref]

A. Uchida, M. Shinozuka, T. Ogawa, and F. Kannari, “Experiments on chaos synchronization in two separate microchip lasers,” Opt. Lett. 24(13), 890–892 (1999).
[Crossref]

1998 (1)

G. D. VanWiggeren and R. Roy, “Communication with chaotic lasers,” Science 279(5354), 1198–1200 (1998).
[Crossref]

1994 (1)

R. Roy and K. S. Thornburg, “Experimental synchronization of chaotic lasers,” Phys. Rev. Lett. 72(13), 2009–2012 (1994).
[Crossref]

1993 (2)

L. Fabry, P. Colet, and R. Roy, “Coherence and phase dynamics of spatially coupled soli-state lasers,” Phys. Rev. A 47(5), 4287–4296 (1993).
[Crossref]

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, “Transient and modulation dynamics of a multimode Fabry–Perot laser,” Opt. Commun. 100(1-4), 341–350 (1993).
[Crossref]

1992 (1)

K. Otsuka, P. Mandel, S. Bielawaski, D. Derozier, and P. Glorieux, “Alternate time scale in multimode lasers,” Phys. Rev. A 46(3), 1692–1695 (1992).
[Crossref]

1990 (1)

L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64(8), 821–824 (1990).
[Crossref]

1980 (1)

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16(3), 347–355 (1980).
[Crossref]

1979 (1)

K. Kubodera and K. Otsuka, “Single-transverse-mode slab waveguide LiNdP4O12 laser,” J. Appl. Phys. 50(2), 653–659 (1979).
[Crossref]

Aida, T.

Y. Liu, Y. Takiguchi, P. Davis, and T. Aida, “Experimental observation of complete chaos synchronization in semiconductor lasers,” Appl. Phys. Lett. 80(23), 4306–4308 (2002).
[Crossref]

Ashwin, P.

J. R. Terry, S. Thornburg, D. J. DeShazer, G. D. VanWiggeren, S. Zhu, P. Ashwin, and R. Roy, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59(4), 4036–4043 (1999).
[Crossref]

Bielawaski, S.

K. Otsuka, P. Mandel, S. Bielawaski, D. Derozier, and P. Glorieux, “Alternate time scale in multimode lasers,” Phys. Rev. A 46(3), 1692–1695 (1992).
[Crossref]

Blit, S.

R. Oron, S. Blit, N. Davidson, and A. Friesem, “The formation of laser beam with pure azimuthal or radial polarization,” Appl. Phys. Lett. 77(21), 3322–3324 (2000).
[Crossref]

Carroll, T. L.

L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64(8), 821–824 (1990).
[Crossref]

Chen, H.-F.

J.-M. Liu, H.-F. Chen, and S. Yang, “Dynamics and synchronization of semiconductor lasers for chaotic optical communications,” Springer Series in Optical Sciences 111, 285–340 (2017).

Chen, Y. F.

T. H. Lu, Y. F. Chen, and K. F. Huang, “Generation of polarization-entangled optical coherent waves and manifestation of vector singularity patterns,” Phys. Rev. E 75(2), 026614 (2007).
[Crossref]

Chern, J.-L.

K. Otsuka, R. Kawai, S. L. Hwong, J.-Y. Ko, and J.-L. Chern, “Synchronization of mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84(14), 3049–3052 (2000).
[Crossref]

Chu, S.-C.

K. Otsuka and S.-C. Chu, “Spontaneous generation of vortex and coherent vector beams from a thin-slice c-cut Nd: GdVO4 laser with wide-aperture laser-diode end pumping: application to highly sensitive rotational and translational Doppler velocimetry,” Laser Phys. Lett. 14(7), 075002 (2017).
[Crossref]

K. Otsuka, S.-C. Chu, C.-C. Lin, K. Tokunaga, and T. Ohtomo, “Spatial and polarization entanglement of lasing patterns and related dynamic behaviors in laser-diode-pumped solid-state lasers,” Opt. Express 17(24), 21615–21627 (2009).
[Crossref]

Colet, P.

L. Fabry, P. Colet, and R. Roy, “Coherence and phase dynamics of spatially coupled soli-state lasers,” Phys. Rev. A 47(5), 4287–4296 (1993).
[Crossref]

Danckaert, J.

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. San Migel, “Polarization message encoding through vectorial chaos synchronization in Vertical-Cavity Surface-Emitting Laser,” Phys. Rev. Lett. 90(11), 113901 (2003).
[Crossref]

Davidson, N.

R. Oron, S. Blit, N. Davidson, and A. Friesem, “The formation of laser beam with pure azimuthal or radial polarization,” Appl. Phys. Lett. 77(21), 3322–3324 (2000).
[Crossref]

Davis, P.

Y. Liu, Y. Takiguchi, P. Davis, and T. Aida, “Experimental observation of complete chaos synchronization in semiconductor lasers,” Appl. Phys. Lett. 80(23), 4306–4308 (2002).
[Crossref]

I. Fischer, Y. Liu, and P. Davis, “Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scale and its potential for chaos communication,” Phys. Rev. A 62(1), 011801 (2000).
[Crossref]

Derozier, D.

K. Otsuka, P. Mandel, S. Bielawaski, D. Derozier, and P. Glorieux, “Alternate time scale in multimode lasers,” Phys. Rev. A 46(3), 1692–1695 (1992).
[Crossref]

DeShazer, D. J.

J. R. Terry, S. Thornburg, D. J. DeShazer, G. D. VanWiggeren, S. Zhu, P. Ashwin, and R. Roy, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59(4), 4036–4043 (1999).
[Crossref]

Elsässer, W.

T. Heil, I. Fischer, W. Elsässer, J. Mulet, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86(5), 795–798 (2001).
[Crossref]

Fabry, L.

L. Fabry, P. Colet, and R. Roy, “Coherence and phase dynamics of spatially coupled soli-state lasers,” Phys. Rev. A 47(5), 4287–4296 (1993).
[Crossref]

Fischer, I.

T. Jüngling, X. Porte, N. Oliver, M. C. Soriano, and I. Fischer, “A unifying analysis of chaos synchronization and consistency in delay-coupled semiconductor lasers,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

T. Heil, I. Fischer, W. Elsässer, J. Mulet, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86(5), 795–798 (2001).
[Crossref]

I. Fischer, Y. Liu, and P. Davis, “Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scale and its potential for chaos communication,” Phys. Rev. A 62(1), 011801 (2000).
[Crossref]

Friesem, A.

R. Oron, S. Blit, N. Davidson, and A. Friesem, “The formation of laser beam with pure azimuthal or radial polarization,” Appl. Phys. Lett. 77(21), 3322–3324 (2000).
[Crossref]

Fujimoto, H.

Gatare, I.

M. Sciamanna, I. Gatare, A. Locquet, and K. Panajotov, “Polarization synchronization in unidirectionally coupled vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. E 75(5), 056213 (2007).
[Crossref]

Georgiou, M.

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, “Transient and modulation dynamics of a multimode Fabry–Perot laser,” Opt. Commun. 100(1-4), 341–350 (1993).
[Crossref]

Glorieux, P.

K. Otsuka, P. Mandel, S. Bielawaski, D. Derozier, and P. Glorieux, “Alternate time scale in multimode lasers,” Phys. Rev. A 46(3), 1692–1695 (1992).
[Crossref]

Heil, T.

T. Heil, I. Fischer, W. Elsässer, J. Mulet, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86(5), 795–798 (2001).
[Crossref]

Ho, M.-C.

Hong, Y.

Huang, K. F.

T. H. Lu, Y. F. Chen, and K. F. Huang, “Generation of polarization-entangled optical coherent waves and manifestation of vector singularity patterns,” Phys. Rev. E 75(2), 026614 (2007).
[Crossref]

Hwong, S. L.

K. Otsuka, R. Kawai, S. L. Hwong, J.-Y. Ko, and J.-L. Chern, “Synchronization of mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84(14), 3049–3052 (2000).
[Crossref]

Jiang, I.-M.

Jiang, M.

Jiang, N.

Jüngling, T.

T. Jüngling, X. Porte, N. Oliver, M. C. Soriano, and I. Fischer, “A unifying analysis of chaos synchronization and consistency in delay-coupled semiconductor lasers,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

Kamikariya, K.

K. Otsuka, K. Nemoto, K. Kamikariya, Y. Miyasaka, J.-Y. Ko, and C.-C. Lin, “Chaos synchronization among orthogonally polarized emissions in a dual-polarization laser,” Phys. Rev. E 76(2), 026204 (2007).
[Crossref]

J.-Y. Ko, C.-C. Lin, K. Otsuka, Y. Miyasaka, K. Kamikariya, K. Nemoto, M.-C. Ho, and I.-M. Jiang, “Experimental observations of dual-polarization oscillations in laser-diode-pumped wide-aperture Nd: GdVO4 lasers,” Opt. Express 15(3), 945–954 (2007).
[Crossref]

Kannari, F.

Kawai, R.

K. Otsuka, R. Kawai, S. L. Hwong, J.-Y. Ko, and J.-L. Chern, “Synchronization of mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84(14), 3049–3052 (2000).
[Crossref]

Ko, J.-Y.

K. Otsuka, K. Nemoto, K. Kamikariya, Y. Miyasaka, J.-Y. Ko, and C.-C. Lin, “Chaos synchronization among orthogonally polarized emissions in a dual-polarization laser,” Phys. Rev. E 76(2), 026204 (2007).
[Crossref]

J.-Y. Ko, C.-C. Lin, K. Otsuka, Y. Miyasaka, K. Kamikariya, K. Nemoto, M.-C. Ho, and I.-M. Jiang, “Experimental observations of dual-polarization oscillations in laser-diode-pumped wide-aperture Nd: GdVO4 lasers,” Opt. Express 15(3), 945–954 (2007).
[Crossref]

K. Otsuka, T. Ohtomo, A. Yoshioka, and J.-Y. Ko, “Collective chaos synchronization of pairs of modes in a chaotic three-mode laser,” Chaos 12(3), 678–687 (2002).
[Crossref]

K. Otsuka, R. Kawai, S. L. Hwong, J.-Y. Ko, and J.-L. Chern, “Synchronization of mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84(14), 3049–3052 (2000).
[Crossref]

Kobayashi, K.

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16(3), 347–355 (1980).
[Crossref]

Kozawa, Y.

Kubodera, K.

K. Kubodera and K. Otsuka, “Single-transverse-mode slab waveguide LiNdP4O12 laser,” J. Appl. Phys. 50(2), 653–659 (1979).
[Crossref]

Lang, R.

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16(3), 347–355 (1980).
[Crossref]

Lee, H.-W.

Lin, C.-C.

Lin, J.

Liu, C.-L.

M.-D. Wei, C.-L. Liu, and Y.-L. Lu, “Chaos synchronization in solid-state lasers with cavity-configuration-dependent instabilities,” J. Opt. A: Pure Appl. Opt. 9(11), 1034–1040 (2007).
[Crossref]

Liu, J. M.

Liu, J.-M.

J.-M. Liu, H.-F. Chen, and S. Yang, “Dynamics and synchronization of semiconductor lasers for chaotic optical communications,” Springer Series in Optical Sciences 111, 285–340 (2017).

Liu, S.

Liu, Y.

Y. Liu, Y. Takiguchi, P. Davis, and T. Aida, “Experimental observation of complete chaos synchronization in semiconductor lasers,” Appl. Phys. Lett. 80(23), 4306–4308 (2002).
[Crossref]

I. Fischer, Y. Liu, and P. Davis, “Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scale and its potential for chaos communication,” Phys. Rev. A 62(1), 011801 (2000).
[Crossref]

Locquet, A.

M. Sciamanna, I. Gatare, A. Locquet, and K. Panajotov, “Polarization synchronization in unidirectionally coupled vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. E 75(5), 056213 (2007).
[Crossref]

Lu, T. H.

T. H. Lu, Y. F. Chen, and K. F. Huang, “Generation of polarization-entangled optical coherent waves and manifestation of vector singularity patterns,” Phys. Rev. E 75(2), 026614 (2007).
[Crossref]

Lu, Y.-L.

M.-D. Wei, C.-L. Liu, and Y.-L. Lu, “Chaos synchronization in solid-state lasers with cavity-configuration-dependent instabilities,” J. Opt. A: Pure Appl. Opt. 9(11), 1034–1040 (2007).
[Crossref]

Mandel, P.

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, “Transient and modulation dynamics of a multimode Fabry–Perot laser,” Opt. Commun. 100(1-4), 341–350 (1993).
[Crossref]

K. Otsuka, P. Mandel, S. Bielawaski, D. Derozier, and P. Glorieux, “Alternate time scale in multimode lasers,” Phys. Rev. A 46(3), 1692–1695 (1992).
[Crossref]

Mirasso, C. R.

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. San Migel, “Polarization message encoding through vectorial chaos synchronization in Vertical-Cavity Surface-Emitting Laser,” Phys. Rev. Lett. 90(11), 113901 (2003).
[Crossref]

T. Heil, I. Fischer, W. Elsässer, J. Mulet, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86(5), 795–798 (2001).
[Crossref]

Miyasaka, Y.

K. Otsuka, K. Nemoto, K. Kamikariya, Y. Miyasaka, J.-Y. Ko, and C.-C. Lin, “Chaos synchronization among orthogonally polarized emissions in a dual-polarization laser,” Phys. Rev. E 76(2), 026204 (2007).
[Crossref]

J.-Y. Ko, C.-C. Lin, K. Otsuka, Y. Miyasaka, K. Kamikariya, K. Nemoto, M.-C. Ho, and I.-M. Jiang, “Experimental observations of dual-polarization oscillations in laser-diode-pumped wide-aperture Nd: GdVO4 lasers,” Opt. Express 15(3), 945–954 (2007).
[Crossref]

Mulet, J.

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. San Migel, “Polarization message encoding through vectorial chaos synchronization in Vertical-Cavity Surface-Emitting Laser,” Phys. Rev. Lett. 90(11), 113901 (2003).
[Crossref]

T. Heil, I. Fischer, W. Elsässer, J. Mulet, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86(5), 795–798 (2001).
[Crossref]

Nemoto, K.

J.-Y. Ko, C.-C. Lin, K. Otsuka, Y. Miyasaka, K. Kamikariya, K. Nemoto, M.-C. Ho, and I.-M. Jiang, “Experimental observations of dual-polarization oscillations in laser-diode-pumped wide-aperture Nd: GdVO4 lasers,” Opt. Express 15(3), 945–954 (2007).
[Crossref]

K. Otsuka, K. Nemoto, K. Kamikariya, Y. Miyasaka, J.-Y. Ko, and C.-C. Lin, “Chaos synchronization among orthogonally polarized emissions in a dual-polarization laser,” Phys. Rev. E 76(2), 026204 (2007).
[Crossref]

Ogawa, T.

Ohtomo, T.

Ohtsubo, J.

J. Ohtsubo, “Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback,” IEEE J. Quantum Electron. 38(9), 1141–1154 (2002).
[Crossref]

H. Fujimoto and J. Ohtsubo, “Experimental synchronization of chaotic oscillations in external-cavity semiconductor laser,” Opt. Lett. 25(9), 625 (2000).
[Crossref]

Oliver, N.

T. Jüngling, X. Porte, N. Oliver, M. C. Soriano, and I. Fischer, “A unifying analysis of chaos synchronization and consistency in delay-coupled semiconductor lasers,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

Oron, R.

R. Oron, S. Blit, N. Davidson, and A. Friesem, “The formation of laser beam with pure azimuthal or radial polarization,” Appl. Phys. Lett. 77(21), 3322–3324 (2000).
[Crossref]

Otsuka, K.

K. Otsuka and S.-C. Chu, “Spontaneous generation of vortex and coherent vector beams from a thin-slice c-cut Nd: GdVO4 laser with wide-aperture laser-diode end pumping: application to highly sensitive rotational and translational Doppler velocimetry,” Laser Phys. Lett. 14(7), 075002 (2017).
[Crossref]

K. Otsuka, “Self-mixing interference effect in a microchip solid-state vector laser,” J. Appl. Phys. 51(8R), 080203 (2012).
[Crossref]

K. Otsuka, “Self-mixing thin-slice solid-state laser metrology,” Sensors 11(2), 2195–2245 (2011).
[Crossref]

K. Otsuka, S.-C. Chu, C.-C. Lin, K. Tokunaga, and T. Ohtomo, “Spatial and polarization entanglement of lasing patterns and related dynamic behaviors in laser-diode-pumped solid-state lasers,” Opt. Express 17(24), 21615–21627 (2009).
[Crossref]

J.-Y. Ko, C.-C. Lin, K. Otsuka, Y. Miyasaka, K. Kamikariya, K. Nemoto, M.-C. Ho, and I.-M. Jiang, “Experimental observations of dual-polarization oscillations in laser-diode-pumped wide-aperture Nd: GdVO4 lasers,” Opt. Express 15(3), 945–954 (2007).
[Crossref]

K. Otsuka, K. Nemoto, K. Kamikariya, Y. Miyasaka, J.-Y. Ko, and C.-C. Lin, “Chaos synchronization among orthogonally polarized emissions in a dual-polarization laser,” Phys. Rev. E 76(2), 026204 (2007).
[Crossref]

K. Otsuka, T. Ohtomo, A. Yoshioka, and J.-Y. Ko, “Collective chaos synchronization of pairs of modes in a chaotic three-mode laser,” Chaos 12(3), 678–687 (2002).
[Crossref]

K. Otsuka, R. Kawai, S. L. Hwong, J.-Y. Ko, and J.-L. Chern, “Synchronization of mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84(14), 3049–3052 (2000).
[Crossref]

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, “Transient and modulation dynamics of a multimode Fabry–Perot laser,” Opt. Commun. 100(1-4), 341–350 (1993).
[Crossref]

K. Otsuka, P. Mandel, S. Bielawaski, D. Derozier, and P. Glorieux, “Alternate time scale in multimode lasers,” Phys. Rev. A 46(3), 1692–1695 (1992).
[Crossref]

K. Kubodera and K. Otsuka, “Single-transverse-mode slab waveguide LiNdP4O12 laser,” J. Appl. Phys. 50(2), 653–659 (1979).
[Crossref]

Panajotov, K.

M. Sciamanna, I. Gatare, A. Locquet, and K. Panajotov, “Polarization synchronization in unidirectionally coupled vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. E 75(5), 056213 (2007).
[Crossref]

Pecora, L. M.

L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64(8), 821–824 (1990).
[Crossref]

Petrov, V.

Pieroux, D.

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, “Transient and modulation dynamics of a multimode Fabry–Perot laser,” Opt. Commun. 100(1-4), 341–350 (1993).
[Crossref]

Porte, X.

T. Jüngling, X. Porte, N. Oliver, M. C. Soriano, and I. Fischer, “A unifying analysis of chaos synchronization and consistency in delay-coupled semiconductor lasers,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

Qiu, K.

Roy, R.

J. R. Terry, S. Thornburg, D. J. DeShazer, G. D. VanWiggeren, S. Zhu, P. Ashwin, and R. Roy, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59(4), 4036–4043 (1999).
[Crossref]

G. D. VanWiggeren and R. Roy, “Communication with chaotic lasers,” Science 279(5354), 1198–1200 (1998).
[Crossref]

R. Roy and K. S. Thornburg, “Experimental synchronization of chaotic lasers,” Phys. Rev. Lett. 72(13), 2009–2012 (1994).
[Crossref]

L. Fabry, P. Colet, and R. Roy, “Coherence and phase dynamics of spatially coupled soli-state lasers,” Phys. Rev. A 47(5), 4287–4296 (1993).
[Crossref]

San Migel, M.

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. San Migel, “Polarization message encoding through vectorial chaos synchronization in Vertical-Cavity Surface-Emitting Laser,” Phys. Rev. Lett. 90(11), 113901 (2003).
[Crossref]

Sato, S.

Sciamanna, M.

M. Sciamanna, I. Gatare, A. Locquet, and K. Panajotov, “Polarization synchronization in unidirectionally coupled vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. E 75(5), 056213 (2007).
[Crossref]

Scirè, A.

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. San Migel, “Polarization message encoding through vectorial chaos synchronization in Vertical-Cavity Surface-Emitting Laser,” Phys. Rev. Lett. 90(11), 113901 (2003).
[Crossref]

Shinozuka, M.

Shore, K. A.

Soriano, M. C.

T. Jüngling, X. Porte, N. Oliver, M. C. Soriano, and I. Fischer, “A unifying analysis of chaos synchronization and consistency in delay-coupled semiconductor lasers,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

Spencer, P. S.

Takiguchi, Y.

Y. Liu, Y. Takiguchi, P. Davis, and T. Aida, “Experimental observation of complete chaos synchronization in semiconductor lasers,” Appl. Phys. Lett. 80(23), 4306–4308 (2002).
[Crossref]

Tang, S.

Terry, J. R.

J. R. Terry, S. Thornburg, D. J. DeShazer, G. D. VanWiggeren, S. Zhu, P. Ashwin, and R. Roy, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59(4), 4036–4043 (1999).
[Crossref]

Thornburg, K. S.

R. Roy and K. S. Thornburg, “Experimental synchronization of chaotic lasers,” Phys. Rev. Lett. 72(13), 2009–2012 (1994).
[Crossref]

Thornburg, S.

J. R. Terry, S. Thornburg, D. J. DeShazer, G. D. VanWiggeren, S. Zhu, P. Ashwin, and R. Roy, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59(4), 4036–4043 (1999).
[Crossref]

Tokunaga, K.

Uchida, A.

VanWiggeren, G. D.

J. R. Terry, S. Thornburg, D. J. DeShazer, G. D. VanWiggeren, S. Zhu, P. Ashwin, and R. Roy, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59(4), 4036–4043 (1999).
[Crossref]

G. D. VanWiggeren and R. Roy, “Communication with chaotic lasers,” Science 279(5354), 1198–1200 (1998).
[Crossref]

Wang, J.

Wei, M.-D.

M.-D. Wei, C.-L. Liu, and Y.-L. Lu, “Chaos synchronization in solid-state lasers with cavity-configuration-dependent instabilities,” J. Opt. A: Pure Appl. Opt. 9(11), 1034–1040 (2007).
[Crossref]

Xue, C.

Yang, S.

J.-M. Liu, H.-F. Chen, and S. Yang, “Dynamics and synchronization of semiconductor lasers for chaotic optical communications,” Springer Series in Optical Sciences 111, 285–340 (2017).

Yonezawa, K.

Yoshioka, A.

K. Otsuka, T. Ohtomo, A. Yoshioka, and J.-Y. Ko, “Collective chaos synchronization of pairs of modes in a chaotic three-mode laser,” Chaos 12(3), 678–687 (2002).
[Crossref]

Zhang, H.

Zhao, A.

Zhu, S.

J. R. Terry, S. Thornburg, D. J. DeShazer, G. D. VanWiggeren, S. Zhu, P. Ashwin, and R. Roy, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59(4), 4036–4043 (1999).
[Crossref]

Appl. Phys. Lett. (2)

Y. Liu, Y. Takiguchi, P. Davis, and T. Aida, “Experimental observation of complete chaos synchronization in semiconductor lasers,” Appl. Phys. Lett. 80(23), 4306–4308 (2002).
[Crossref]

R. Oron, S. Blit, N. Davidson, and A. Friesem, “The formation of laser beam with pure azimuthal or radial polarization,” Appl. Phys. Lett. 77(21), 3322–3324 (2000).
[Crossref]

Chaos (1)

K. Otsuka, T. Ohtomo, A. Yoshioka, and J.-Y. Ko, “Collective chaos synchronization of pairs of modes in a chaotic three-mode laser,” Chaos 12(3), 678–687 (2002).
[Crossref]

IEEE J. Quantum Electron. (2)

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16(3), 347–355 (1980).
[Crossref]

J. Ohtsubo, “Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback,” IEEE J. Quantum Electron. 38(9), 1141–1154 (2002).
[Crossref]

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

T. Jüngling, X. Porte, N. Oliver, M. C. Soriano, and I. Fischer, “A unifying analysis of chaos synchronization and consistency in delay-coupled semiconductor lasers,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

J. Appl. Phys. (2)

K. Kubodera and K. Otsuka, “Single-transverse-mode slab waveguide LiNdP4O12 laser,” J. Appl. Phys. 50(2), 653–659 (1979).
[Crossref]

K. Otsuka, “Self-mixing interference effect in a microchip solid-state vector laser,” J. Appl. Phys. 51(8R), 080203 (2012).
[Crossref]

J. Opt. A: Pure Appl. Opt. (1)

M.-D. Wei, C.-L. Liu, and Y.-L. Lu, “Chaos synchronization in solid-state lasers with cavity-configuration-dependent instabilities,” J. Opt. A: Pure Appl. Opt. 9(11), 1034–1040 (2007).
[Crossref]

Laser Phys. Lett. (1)

K. Otsuka and S.-C. Chu, “Spontaneous generation of vortex and coherent vector beams from a thin-slice c-cut Nd: GdVO4 laser with wide-aperture laser-diode end pumping: application to highly sensitive rotational and translational Doppler velocimetry,” Laser Phys. Lett. 14(7), 075002 (2017).
[Crossref]

Opt. Commun. (1)

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, “Transient and modulation dynamics of a multimode Fabry–Perot laser,” Opt. Commun. 100(1-4), 341–350 (1993).
[Crossref]

Opt. Express (3)

Opt. Lett. (7)

Phys. Rev. A (3)

L. Fabry, P. Colet, and R. Roy, “Coherence and phase dynamics of spatially coupled soli-state lasers,” Phys. Rev. A 47(5), 4287–4296 (1993).
[Crossref]

I. Fischer, Y. Liu, and P. Davis, “Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scale and its potential for chaos communication,” Phys. Rev. A 62(1), 011801 (2000).
[Crossref]

K. Otsuka, P. Mandel, S. Bielawaski, D. Derozier, and P. Glorieux, “Alternate time scale in multimode lasers,” Phys. Rev. A 46(3), 1692–1695 (1992).
[Crossref]

Phys. Rev. E (4)

T. H. Lu, Y. F. Chen, and K. F. Huang, “Generation of polarization-entangled optical coherent waves and manifestation of vector singularity patterns,” Phys. Rev. E 75(2), 026614 (2007).
[Crossref]

K. Otsuka, K. Nemoto, K. Kamikariya, Y. Miyasaka, J.-Y. Ko, and C.-C. Lin, “Chaos synchronization among orthogonally polarized emissions in a dual-polarization laser,” Phys. Rev. E 76(2), 026204 (2007).
[Crossref]

J. R. Terry, S. Thornburg, D. J. DeShazer, G. D. VanWiggeren, S. Zhu, P. Ashwin, and R. Roy, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59(4), 4036–4043 (1999).
[Crossref]

M. Sciamanna, I. Gatare, A. Locquet, and K. Panajotov, “Polarization synchronization in unidirectionally coupled vertical-cavity surface-emitting lasers with orthogonal optical injection,” Phys. Rev. E 75(5), 056213 (2007).
[Crossref]

Phys. Rev. Lett. (5)

A. Scirè, J. Mulet, C. R. Mirasso, J. Danckaert, and M. San Migel, “Polarization message encoding through vectorial chaos synchronization in Vertical-Cavity Surface-Emitting Laser,” Phys. Rev. Lett. 90(11), 113901 (2003).
[Crossref]

T. Heil, I. Fischer, W. Elsässer, J. Mulet, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86(5), 795–798 (2001).
[Crossref]

K. Otsuka, R. Kawai, S. L. Hwong, J.-Y. Ko, and J.-L. Chern, “Synchronization of mutually coupled self-mixing modulated lasers,” Phys. Rev. Lett. 84(14), 3049–3052 (2000).
[Crossref]

L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett. 64(8), 821–824 (1990).
[Crossref]

R. Roy and K. S. Thornburg, “Experimental synchronization of chaotic lasers,” Phys. Rev. Lett. 72(13), 2009–2012 (1994).
[Crossref]

Science (1)

G. D. VanWiggeren and R. Roy, “Communication with chaotic lasers,” Science 279(5354), 1198–1200 (1998).
[Crossref]

Sensors (1)

K. Otsuka, “Self-mixing thin-slice solid-state laser metrology,” Sensors 11(2), 2195–2245 (2011).
[Crossref]

Other (1)

J.-M. Liu, H.-F. Chen, and S. Yang, “Dynamics and synchronization of semiconductor lasers for chaotic optical communications,” Springer Series in Optical Sciences 111, 285–340 (2017).

Supplementary Material (3)

NameDescription
» Visualization 1       Polarization dependent far-field pattern change related to Fig. 2(a).
» Visualization 2       Polarization dependent far-field pattern change related to Fig. 6(a)
» Visualization 3       Polarization dependent far-field pattern change related to Fig. 6(d)

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Figures (7)

Fig. 1.
Fig. 1. (a) Experimental apparatus. LD: laser diode, AP: anamorphic prism pair, OL: objective lens, BS: beam splitter, M: mirror, P: polarizer, MWM: multi-wavelength meter, SFPI: scanning Fabry-Perot interferometer, PD: photo-diode, DO: digital oscilloscope, SA: spectrum analyzer. (b) Input-output characteristics and pump-dependent DPO far-field intensity patterns.
Fig. 2.
Fig. 2. (a) Polarization-dependent far-field patterns (see Visualization 1). (b) Optical and power spectra of DPO eigenmodes and the total output. P = 172 mW.
Fig. 3.
Fig. 3. (a) Polarization-dependent relaxation oscillation intensity. (b) Power spectra for a pair of transverse modes. (c) Noise-driven modal and total output fluctuations. Pump power, P = 172 mW.
Fig. 4.
Fig. 4. (a) Chaotic oscillation of DPO eigenmodes. (b) Synchronized chaotic oscillation of a single pair of polarized transverse modes. P = 172 mW.
Fig. 5.
Fig. 5. (a) Synchronized chaos for LDV modulation of one of the paring modes (i.e., the sender) and (b) correlation plots. (c) Dependence of R on polarization direction of the receiver. P = 172 mW.
Fig. 6.
Fig. 6. Synchronized chaos. (a)-(c) IG22,2 – HG0,0, P = 180 mW (see Visualization 2). (d)-(f) TEM0,1* – HG0,0, P = 200 mW (see Visualization 3).
Fig. 7.
Fig. 7. Numerical results. (a), (c) g1 = 1, g2 = 0.70, β1,2 = 0.46, β2,1 = 0.75, η = 0.001. (b), (d) g1 = g2 = 0.9, β1,2 = β2,1 = 0.6, η = 0.008. (a), (b) Free-running, m1 = m2 = 0. (c), (d) Total modulation, m1 = m2 = 0.001. (e) One-mode modulation, m1 = 0.001, m2 = 0.

Equations (5)

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d N 1 d t = ( 2 K ) [ P P t h 1 N 1 ( 1 + 2 N 1 ) ( E 1 2 + β 1 , 2 E 2 2 ) ] ,
d N 2 d t = ( 2 K ) [ P P t h 1 N 2 ( 1 + 2 N 2 ) ( E 2 2 + β 2 , 1 E 1 2 ) ] ,
d E 1 d t = g 1 E 1 N 1 + m 1 E 1 cos Ω D , 1 t + η E 2 c o s Ψ + 2 ε [ N 1 + 1 ] ξ ( t ) ,
d E 2 d t = g 2 E 2 N 2 + m 2 E 2 c o s Ω D , 2 t + η E 1 c o s Ψ + 2 ε [ N 2 + 1 ] ξ ( t ) ,
d Ψ d t = η ( E 2 E 1 + E 1 E 2 ) s i n Ψ