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2013 | OriginalPaper | Buchkapitel

Spontaneous Formation and Switching of Optical Patterns in Semiconductor Microcavities

verfasst von : Jacob Scheuer, Meir Orenstein

Erschienen in: Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations

Verlag: Springer Berlin Heidelberg

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Abstract

We study spontaneous pattern formation and symmetry breaking in broad area and pre-patterned (spatially modulated) semiconductor microcavities under lasing conditions. In broad area VCSELs, we observe the spontaneous formation of regular arrays consisting of charge “±1” optical vortices. The formation of these patterns stems from transverse mode locking of almost wavelength degenerated Gauss-Laguerre (GL) modes. The observed patterns in Gain modulated broad area VCSELs and their dynamical behavior depends dramatically on the modulation strength. In ring shaped VCSELs lasers we observe necklace-like pattern formation and switching as a function of the injection current. The formation of the patterns and, in particular, their switching is shown to stem from stability loss of the lasing pattern to perturbations of more complex pattern which, in turn, is stable under similar pumping conditions. Having the advantage of a strong, saturating nonlinear response with an inherent loss compensation mechanism, such lasers are potentially the best microlabortories for studying nonlinear phenomena and for the generation and employment of complex optical fields. Applications can be found in optical data storage, information distribution and processing, laser cooling and more.

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Literatur
1.
Zurück zum Zitat W.J. Firth, A.J. Scroggie, Spontaneous pattern formation in an absorptive system. Europhys. Lett. 26, 521–526 (1994)ADSCrossRef W.J. Firth, A.J. Scroggie, Spontaneous pattern formation in an absorptive system. Europhys. Lett. 26, 521–526 (1994)ADSCrossRef
2.
Zurück zum Zitat G. D’Alessandro, W.J. Firth, Hexagonal spatial patterns for a Kerr slice with a feedback mirror. Phys. Rev. A 46, 537–548 (1992)ADSCrossRef G. D’Alessandro, W.J. Firth, Hexagonal spatial patterns for a Kerr slice with a feedback mirror. Phys. Rev. A 46, 537–548 (1992)ADSCrossRef
3.
Zurück zum Zitat E. Pampaloni, S. Residori, F.T. Arecchi, Roll-hexagon transition in a Kerr-like experiment. Europhys. Lett. 24, 647–652 (1993)ADSCrossRef E. Pampaloni, S. Residori, F.T. Arecchi, Roll-hexagon transition in a Kerr-like experiment. Europhys. Lett. 24, 647–652 (1993)ADSCrossRef
4.
Zurück zum Zitat M. Orenstein, N.G. Stoffel, A.C. Von Lehmen, J.P. Harbison, L.T. Florez, Vertical-cavity surface-emitting InGaAs/GaAs lasers with planar lateral definition. Appl. Phys. Lett. 56, 2384–2386 (1990)ADSCrossRef M. Orenstein, N.G. Stoffel, A.C. Von Lehmen, J.P. Harbison, L.T. Florez, Vertical-cavity surface-emitting InGaAs/GaAs lasers with planar lateral definition. Appl. Phys. Lett. 56, 2384–2386 (1990)ADSCrossRef
5.
Zurück zum Zitat J.R. Marciante, G.P. Agrawal, Nonlinear mechanisms of filamentation in broad-area semiconductor lasers. IEEE J. Quantum Electron. 32, 590–596 (1996)ADSCrossRef J.R. Marciante, G.P. Agrawal, Nonlinear mechanisms of filamentation in broad-area semiconductor lasers. IEEE J. Quantum Electron. 32, 590–596 (1996)ADSCrossRef
6.
Zurück zum Zitat L. Djaloshinski, M. Orenstein, Coupling of concentric semiconductor microring lasers. Opt. Lett. 23, 364–366 (1998)ADSCrossRef L. Djaloshinski, M. Orenstein, Coupling of concentric semiconductor microring lasers. Opt. Lett. 23, 364–366 (1998)ADSCrossRef
7.
Zurück zum Zitat J. Scheuer, M. Orenstein, Optical vortices crystals—spontaneous generation in nonlinear semiconductor microcavities. Science 285, 230–233 (1999)CrossRef J. Scheuer, M. Orenstein, Optical vortices crystals—spontaneous generation in nonlinear semiconductor microcavities. Science 285, 230–233 (1999)CrossRef
8.
Zurück zum Zitat H. Adachihara, O. Hess, E. Abraham, P. Ru, J.V. Moloney, Spatiotemporal chaos in broad-area semiconductor lasers. J. Opt. Soc. Am B. 10, 658–665 (1993)ADSCrossRef H. Adachihara, O. Hess, E. Abraham, P. Ru, J.V. Moloney, Spatiotemporal chaos in broad-area semiconductor lasers. J. Opt. Soc. Am B. 10, 658–665 (1993)ADSCrossRef
9.
Zurück zum Zitat R.J. Lang, D. Mehuys, A. Hardy, K.D. Dzurko, D.F. Welch, Spatial evolution of filaments in broad area diode laser amplifiers. Appl. Phys. Lett. 62, 1209–1211 (1993)ADSCrossRef R.J. Lang, D. Mehuys, A. Hardy, K.D. Dzurko, D.F. Welch, Spatial evolution of filaments in broad area diode laser amplifiers. Appl. Phys. Lett. 62, 1209–1211 (1993)ADSCrossRef
10.
Zurück zum Zitat V.N. Morozov, J.A. Neff, H. Zhou, Analysis of vertical-cavity surface-emitting laser multimode behavior. IEEE J. Quantum Electron. 33, 980–988 (1997)ADSCrossRef V.N. Morozov, J.A. Neff, H. Zhou, Analysis of vertical-cavity surface-emitting laser multimode behavior. IEEE J. Quantum Electron. 33, 980–988 (1997)ADSCrossRef
11.
Zurück zum Zitat A. Valle, L. Pesquera, P. Rees and A. Shore, Transverse mode selection and light-current characteristics in index-guided VCSELs, Digest of the LEOS Summer Topical Meetings, pp. III 53–54 (1999) A. Valle, L. Pesquera, P. Rees and A. Shore, Transverse mode selection and light-current characteristics in index-guided VCSELs, Digest of the LEOS Summer Topical Meetings, pp. III 53–54 (1999)
12.
Zurück zum Zitat B.J. Flanigan, J.E. Carroll, Mode selection in complex-coupled semiconductor DFB lasers. Electron. Lett. 31, 977–979 (1995)CrossRef B.J. Flanigan, J.E. Carroll, Mode selection in complex-coupled semiconductor DFB lasers. Electron. Lett. 31, 977–979 (1995)CrossRef
13.
Zurück zum Zitat K.H. Hahn, M.R. Tan, Y.M. Houng, S.Y. Wang, Large area multitransverse-mode VCSELs for modal noise reduction in multimode fibre systems. Electron. Lett. 29, 1482–1483 (1993)CrossRef K.H. Hahn, M.R. Tan, Y.M. Houng, S.Y. Wang, Large area multitransverse-mode VCSELs for modal noise reduction in multimode fibre systems. Electron. Lett. 29, 1482–1483 (1993)CrossRef
14.
Zurück zum Zitat K. Petermann, Nonlinear distortions and noise in optical communication systems due to fiber connectors. IEEE J. Quantum Electron. 16, 761–770 (1980)ADSCrossRef K. Petermann, Nonlinear distortions and noise in optical communication systems due to fiber connectors. IEEE J. Quantum Electron. 16, 761–770 (1980)ADSCrossRef
15.
Zurück zum Zitat D. Michaelis, U. Peschel, F. Lederer, Multistable localized structures and superlattices in semiconductor optical resonators. Phys. Rev. A 56, R3366–R3369 (1997)ADSCrossRef D. Michaelis, U. Peschel, F. Lederer, Multistable localized structures and superlattices in semiconductor optical resonators. Phys. Rev. A 56, R3366–R3369 (1997)ADSCrossRef
16.
Zurück zum Zitat W.J. Firth, A.J. Scroggie, G.S. McDonald, Hexagonal patterns in optical bistability. Phys. Rev. A 46, R3609–R3612 (1992)ADSCrossRef W.J. Firth, A.J. Scroggie, G.S. McDonald, Hexagonal patterns in optical bistability. Phys. Rev. A 46, R3609–R3612 (1992)ADSCrossRef
17.
Zurück zum Zitat M. Brambilla, F. Battipede, L.A. Lugiato, V. Penna, F. Prati, C. Tamm, C.O. Weiss, Transverse laser patterns. I. Phase singularity crystals. Phys. Rev. A 43, 5090–5113 (1991)ADSCrossRef M. Brambilla, F. Battipede, L.A. Lugiato, V. Penna, F. Prati, C. Tamm, C.O. Weiss, Transverse laser patterns. I. Phase singularity crystals. Phys. Rev. A 43, 5090–5113 (1991)ADSCrossRef
18.
Zurück zum Zitat E. Pampaloni, S. Residori, F.T. Arecchi, Roll-hexagon transition in a Kerr-like experiment. Europhys. Lett. 24, 647–652 (1993)ADSCrossRef E. Pampaloni, S. Residori, F.T. Arecchi, Roll-hexagon transition in a Kerr-like experiment. Europhys. Lett. 24, 647–652 (1993)ADSCrossRef
19.
Zurück zum Zitat G.R. Hadley, K.L. Lear, M.E. Warren, K.D. Choquette, J.W. Scott, S.W. Corzine, Comprehensive numerical modeling of vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 32, 607–616 (1996)ADSCrossRef G.R. Hadley, K.L. Lear, M.E. Warren, K.D. Choquette, J.W. Scott, S.W. Corzine, Comprehensive numerical modeling of vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 32, 607–616 (1996)ADSCrossRef
20.
Zurück zum Zitat J.W. Scott, R.S. Geels, S.W. Corzine, L.A. Coldern, Modeling temperature effects and spatial hole burning to optimize vertical-cavity surface-emitting laser performance. IEEE J. Quantum Electron. 29, 1295 (1993)ADSCrossRef J.W. Scott, R.S. Geels, S.W. Corzine, L.A. Coldern, Modeling temperature effects and spatial hole burning to optimize vertical-cavity surface-emitting laser performance. IEEE J. Quantum Electron. 29, 1295 (1993)ADSCrossRef
21.
Zurück zum Zitat G. Chen, A comparative study on the thermal characteristics of vertical-cavity surface-emitting lasers. J. Appl. Phys. 77, 4251–4258 (1995)ADSCrossRef G. Chen, A comparative study on the thermal characteristics of vertical-cavity surface-emitting lasers. J. Appl. Phys. 77, 4251–4258 (1995)ADSCrossRef
22.
Zurück zum Zitat D. T. Haar, H. Wergeland, Elements of thermodynamics. (Addison-Wesley Press, Reading) D. T. Haar, H. Wergeland, Elements of thermodynamics. (Addison-Wesley Press, Reading)
23.
Zurück zum Zitat N.K. Duta, W. Tu, G. Hasnain, G. Zydzik, Y.H. Wang, A.Y. Cho, Anomalous temporal response of gain guided surface emitting lasers. Electron. Lett. 27, 208–210 (1991)ADSCrossRef N.K. Duta, W. Tu, G. Hasnain, G. Zydzik, Y.H. Wang, A.Y. Cho, Anomalous temporal response of gain guided surface emitting lasers. Electron. Lett. 27, 208–210 (1991)ADSCrossRef
24.
Zurück zum Zitat A.E. Siegman, Lasers (University Science Books, California, 1986) A.E. Siegman, Lasers (University Science Books, California, 1986)
25.
Zurück zum Zitat C. Cohen-Tannoudji, B. Diu, F. Laloe, Quantum mechanics (Wiley-Interscience, New-York, 1977) C. Cohen-Tannoudji, B. Diu, F. Laloe, Quantum mechanics (Wiley-Interscience, New-York, 1977)
26.
Zurück zum Zitat L.A. Lugiato, C. Oldano, L.M. Narducci, Cooperative frequency locking and stationary spatial structures in lasers. J. Opt. Soc. Am. B. 5, 879–888 (1988)ADSCrossRef L.A. Lugiato, C. Oldano, L.M. Narducci, Cooperative frequency locking and stationary spatial structures in lasers. J. Opt. Soc. Am. B. 5, 879–888 (1988)ADSCrossRef
27.
Zurück zum Zitat E. Abramochkin, V. Volostnikov, Beam transformations and nontransformed beams. Opt. Comm. 83, 123–135 (1991)ADSCrossRef E. Abramochkin, V. Volostnikov, Beam transformations and nontransformed beams. Opt. Comm. 83, 123–135 (1991)ADSCrossRef
28.
Zurück zum Zitat K. Staliunas, Stabilization of spatial solitons by gain diffusion. Phys. Rev. A., 61, 053813-1–053813-6 (2000) K. Staliunas, Stabilization of spatial solitons by gain diffusion. Phys. Rev. A., 61, 053813-1–053813-6 (2000)
29.
Zurück zum Zitat L.A. Coldern, S.W. Corzine, Diode lasers and photonic integrated circuits (Wiley-Interscience, New-York, 1995) L.A. Coldern, S.W. Corzine, Diode lasers and photonic integrated circuits (Wiley-Interscience, New-York, 1995)
30.
Zurück zum Zitat H. Yu, H. Zhang, Z. Wang, J. Wang, Z. Pan, S. Zhuang, D. Tang, Experimental observation of optical vortex in self-frequency-doubling generation. Appl. Phys. Lett. 99, 241102 (2011)ADSCrossRef H. Yu, H. Zhang, Z. Wang, J. Wang, Z. Pan, S. Zhuang, D. Tang, Experimental observation of optical vortex in self-frequency-doubling generation. Appl. Phys. Lett. 99, 241102 (2011)ADSCrossRef
31.
Zurück zum Zitat K. Otsuka1, S. Chu, Generation of vortex array beams from a thin-slice solid-state laser with shaped wide-aperture laser-diode pumping. Opt. Lett. 34, 10 (2009) K. Otsuka1, S. Chu, Generation of vortex array beams from a thin-slice solid-state laser with shaped wide-aperture laser-diode pumping. Opt. Lett. 34, 10 (2009)
32.
Zurück zum Zitat P. Coulet, L. Gil, F. Rocca, Optical vortices. Optics Commun. 73, 403–408 (1989)ADSCrossRef P. Coulet, L. Gil, F. Rocca, Optical vortices. Optics Commun. 73, 403–408 (1989)ADSCrossRef
33.
Zurück zum Zitat H. Sakaguchi1, B. A. Malomed, Higher-order vortex solitons, multipoles, and supervortices on a square optical lattice. Europhys. Lett. 72, 698 (2005) H. Sakaguchi1, B. A. Malomed, Higher-order vortex solitons, multipoles, and supervortices on a square optical lattice. Europhys. Lett. 72, 698 (2005)
34.
Zurück zum Zitat R. Driben, B.A. Malomed, Stabilization of two-dimensional solitons and vortices against supercritical collapse by lattice potentials. Eur. Phys. J. D 50, 317–323 (2008)ADSCrossRef R. Driben, B.A. Malomed, Stabilization of two-dimensional solitons and vortices against supercritical collapse by lattice potentials. Eur. Phys. J. D 50, 317–323 (2008)ADSCrossRef
35.
Zurück zum Zitat T.S. Misirpashaev, C.W.J. Beenakker, Lasing threshold and mode competition in chaotic cavities. Phys. Rev. A 57, 2041–2045 (1998)ADSCrossRef T.S. Misirpashaev, C.W.J. Beenakker, Lasing threshold and mode competition in chaotic cavities. Phys. Rev. A 57, 2041–2045 (1998)ADSCrossRef
36.
Zurück zum Zitat J. Scheuer and M. Orenstein, Nonlinear switching and modulation instability of wave patterns in ring shaped VCSELs. J. Opt. Soc. Am. B, 19. 2384 (2002) J. Scheuer and M. Orenstein, Nonlinear switching and modulation instability of wave patterns in ring shaped VCSELs. J. Opt. Soc. Am. B, 19. 2384 (2002)
37.
Zurück zum Zitat G.P. Agrawal, Nonlinear fiber optics (Academic Press Inc., San Diego, 1989) G.P. Agrawal, Nonlinear fiber optics (Academic Press Inc., San Diego, 1989)
38.
Zurück zum Zitat A. Mohamadou1, B. E. Ayissi, T. C. Kofané, Instability criteria and pattern formation in the complex Ginzburg-Landau equation with higher-order terms, Phys. Rev. E. 74, 046604 (2006) A. Mohamadou1, B. E. Ayissi, T. C. Kofané, Instability criteria and pattern formation in the complex Ginzburg-Landau equation with higher-order terms, Phys. Rev. E. 74, 046604 (2006)
39.
Zurück zum Zitat G.H.M. van Tartwijk, G.P. Agrawa, Maxwell–Bloch dynamics and modulation instabilities in fiber lasers and amplifiers. J. Opt. Soc. Am. B. 14, 2618 (1997)ADSCrossRef G.H.M. van Tartwijk, G.P. Agrawa, Maxwell–Bloch dynamics and modulation instabilities in fiber lasers and amplifiers. J. Opt. Soc. Am. B. 14, 2618 (1997)ADSCrossRef
40.
Zurück zum Zitat Y.J. He, H.H. Fan, J.W. Dong, H.Z. Wang, Self-trapped spatiotemporal necklace-ring solitons in the Ginzburg-Landau equation. Phys. Rev. E 74, 016611 (2006)ADSCrossRef Y.J. He, H.H. Fan, J.W. Dong, H.Z. Wang, Self-trapped spatiotemporal necklace-ring solitons in the Ginzburg-Landau equation. Phys. Rev. E 74, 016611 (2006)ADSCrossRef
Metadaten
Titel
Spontaneous Formation and Switching of Optical Patterns in Semiconductor Microcavities
verfasst von
Jacob Scheuer
Meir Orenstein
Copyright-Jahr
2013
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/10091_2012_25

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