Skip to main content
Top

2013 | OriginalPaper | Chapter

Spontaneous Formation and Switching of Optical Patterns in Semiconductor Microcavities

Authors : Jacob Scheuer, Meir Orenstein

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

Publisher: Springer Berlin Heidelberg

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference A.E. Siegman, Lasers (University Science Books, California, 1986) A.E. Siegman, Lasers (University Science Books, California, 1986)
25.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
33.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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
Metadata
Title
Spontaneous Formation and Switching of Optical Patterns in Semiconductor Microcavities
Authors
Jacob Scheuer
Meir Orenstein
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/10091_2012_25

Premium Partner