Spatial mode dynamics in wide-aperture quantum-dot lasers

We present a systematic theoretical study of spatial mode dynamics in wide-aperture semiconductor quantum-dot lasers within the Maxwell-Bloch formalism. Our opto-electro-thermal model self-consistently captures the essential dynamical coupling between field, polarization, and carrier density in both thermal and nonthermal regimes, providing detailed description of the complex spatiotemporal modal intensity structure and spectra in these novel devices and broad area edge-emitting lasers in general. Using linear stability analysis and high resolution adaptive-grid finite element numerical simulation, we show that in the nonthermal regime, the presence of inhomogeneous broadening in quantum-dot active media leads to suppressed filamentation and enhanced spatial coherence compared to conventional quantum well devices with comparable phase-amplitude coupling (alpha parameter). Increasing the degree of inhomogeneous broadening in the active medium leads to further improvement in spatial coherence. In the thermal regime, there is further suppression of filamentation in the inhomogeneously broadened quantum-dot active medium; however, the spatial coherence aided by inhomogeneous broadening is partly lost due to the effect of temperature on cavity detuning. We propose that device designs based on optimized inhomogeneous broadening of quantum-dot gain medium could ultimately lead to diffraction-limited outputs in the quasi-cw regime which are still very difficult to achieve in conventional wide-aperture designs.

[1]  L. Lugiato,et al.  Cavity solitons in a driven VCSEL above threshold , 2006, IEEE Journal of Selected Topics in Quantum Electronics.

[2]  Neal B. Abraham,et al.  Overview of transverse effects in nonlinear-optical systems , 1990 .

[3]  Weng W. Chow,et al.  Modeling the nonlinear dynamics of wide aperture semiconductor lasers and amplifiers , 1994, Photonics West - Lasers and Applications in Science and Engineering.

[4]  Guillaume Huyet,et al.  Filamentation in broad area quantum dot semiconductor lasers , 2002 .

[5]  Lorenzo Spinelli,et al.  Thermal and electronic nonlinearities in semiconductor cavities , 2001, SPIE OPTO.

[6]  San Miguel M,et al.  Light-polarization dynamics in surface-emitting semiconductor lasers. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[7]  Stephan W Koch,et al.  Modeling high-power semiconductor lasers: from microscopic physics to device applications , 2000, Advanced High-Power Lasers and Applications.

[8]  I. White,et al.  Calculation of differential gain and linewidth enhancement factor in 980-nm InGaAs vertical cavity surface-emitting lasers , 1995, IEEE Photonics Technology Letters.

[9]  R. Graham,et al.  Self-Pulsing and Chaos in Inhomogeneously Broadened Single-Mode Lasers , 1983, Topical Meeting on Optical Bistability.

[10]  D. K. Bandy,et al.  Steady-state and unstable behavior of a single-mode inhomogeneously broadened laser , 1985 .

[11]  Peter Michael Smowton,et al.  Filamentation and linewidth enhancement factor In InGaAs quantum dot lasers , 2001, CLEO 2001.

[12]  Melvin Lax,et al.  Quantum Noise. X. Density-Matrix Treatment of Field and Population-Difference Fluctuations , 1967 .

[13]  R. Indik,et al.  Modeling semiconductor amplifiers and lasers: From microscopic physics to device simulation , 1999 .

[14]  Meziane Instability hierarchies in self-pulsing lasers. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[15]  B. Meziane Projecting the unstable solutions of the integro-differential Maxwell-Bloch equations on to finite-dimensional subspaces: methods and performances , 1998 .

[16]  V. Tripathi,et al.  Interaction of Electromagnetic Waves with Electron Beams and Plasmas , 1994 .

[17]  Guillaume Huyet,et al.  Carrier-induced refractive index in quantum dot structures due to transitions from discrete quantum dot levels to continuum states , 2004 .

[18]  J. Hohimer,et al.  Mode control in broad-area diode lasers by thermally induced lateral index tailoring , 1988 .

[19]  Franco Prati,et al.  Long-wavelength instability in broad-area semiconductor lasers , 2007 .

[20]  M. Lax Classical Noise. V. Noise in Self-Sustained Oscillators , 1967 .

[21]  Robert J. Lang,et al.  Lateral modes of broad area semiconductor lasers: theory and experiment , 1991 .

[22]  Salvador Balle,et al.  Spatio-temporal dynamics of gain-guided semiconductor laser arrays , 1996 .

[23]  P. Gallion,et al.  Semiconductor laser dynamics beyond the rate-equation approximation , 1995 .

[24]  J. C. Dyment,et al.  HERMITE‐GAUSSIAN MODE PATTERNS IN GaAs JUNCTION LASERS , 1967 .

[25]  G. Agrawal,et al.  Nonlinear dynamics in the generalized Lorenz-Haken model , 1997 .

[26]  Jerome V Moloney,et al.  Effective Bloch equations for semiconductor lasers and amplifiers , 1997 .

[27]  Andrea Fiore,et al.  Impact of intraband relaxation on the performance of a quantum-dot laser , 2003 .

[28]  Bandy,et al.  Periodic and chaotic output pulsations in a single-mode inhomogeneously broadened laser. , 1986, Physical review. A, General physics.

[29]  Winful,et al.  Synchronized chaos and spatiotemporal chaos in arrays of coupled lasers. , 1990, Physical review letters.

[30]  W. Lamb Theory of an optical maser , 1964 .

[31]  C. Juang,et al.  Carrier-induced energy shift in GaAs/AlGaAs multiple quantum well laser diodes , 1993 .

[32]  B. Corbett,et al.  Experimental observation of traveling waves in the transverse section of a laser. , 2001, Optics letters.

[33]  C. Harder,et al.  Beam quality of InGaAs ridge lasers at high output power. , 1995, Applied optics.

[34]  Tilmann Kuhn,et al.  Spatio-temporal dynamics of semiconductor lasers: Theory, modelling and analysis , 1996 .

[35]  P. Villoresi,et al.  Experimental evidence for detuning induced pattern selection in nonlinear optics. , 2001, Physical review letters.

[36]  Salvador Balle Effective two-level-model with asymmetric gain for laser diodes , 1995 .

[37]  Meziane,et al.  Simple modeling of single-mode inhomogeneously broadened laser dynamics. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[38]  Cun-Zheng Ning,et al.  Modeling the interplay of thermal effects and transverse mode behavior in native-oxide-confined vertical-cavity surface-emitting lasers , 1998 .

[39]  D. Bimberg,et al.  Quantum-dot heterostructure lasers , 2000, IEEE Journal of Selected Topics in Quantum Electronics.

[40]  Karin Hinzer,et al.  Quantum dot semiconductor lasers with optical feedback , 2004 .

[41]  R. Kuszelewicz,et al.  Modeling pattern formation and cavity solitons in quantum dot optical microresonators in absorbing and amplifying regimes. , 2007, Chaos.

[42]  Lorenzo Spinelli,et al.  Thermal effects and transverse structures in semiconductor microcavities with population inversion , 2002 .

[43]  The Maxwell-Bloch description of 1/1 resonances , 1999 .

[44]  A. Forchel,et al.  Gain, index variation, and linewidth-enhancement factor in 980-nm quantum-well and quantum-dot lasers , 2005, IEEE Journal of Quantum Electronics.

[45]  T. W. Berg,et al.  Theory of pulse-train amplification without patterning effects in quantum-dot semiconductor optical amplifiers , 2004, IEEE Journal of Quantum Electronics.

[46]  Govind P. Agrawal,et al.  Laser instabilities: a modern perspective , 1998 .

[47]  M. S. Miguel,et al.  Mode control and pattern stabilization in broad-area lasers by optical feedback. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[48]  Jayanta Mukherjee,et al.  Lateral mode dynamics in high-power wide-aperture quantum dot laser , 2007, SPIE OPTO.

[49]  Govind P. Agrawal,et al.  Nonlinear mechanisms of filamentation in broad-area semiconductor lasers , 1996 .

[50]  J. McInerney,et al.  Electrothermal Analysis of CW High-Power Broad-Area Laser Diodes: A Comparison Between 2-D and 3-D Modeling , 2007, IEEE Journal of Selected Topics in Quantum Electronics.

[51]  Dieter Bimberg,et al.  Dynamic Filamentation and Beam Quality of Quantum-Dot Lasers , 2004 .

[52]  Ingo Fischer,et al.  Complex spatio-temporal dynamics in the near-field of a broad-area semiconductor laser , 1996 .

[53]  Stephan W Koch,et al.  Many-body effects in the gain spectra of highly excited quantum-dot lasers , 2001 .

[54]  Stephan W Koch,et al.  Filamentation and beam propagation in broad-area semiconductor lasers , 1995 .

[55]  Dieter Bimberg,et al.  Analysis of heat flows and their impact on the reliability of high-power diode lasers , 2003, SPIE OPTO.

[56]  M. Vallet,et al.  Asymmetric Russian-doll model for semiconductor lasers , 2005, IEEE Photonics Technology Letters.

[57]  Thomas Elsaesser,et al.  Microthermography of diode lasers: The impact of light propagation on image formation , 2009 .

[58]  Rajaram Bhat,et al.  Spatial mode structure of broad‐area semiconductor quantum well lasers , 1989 .

[59]  I. Babushkin,et al.  Coupling of polarization and spatial degrees of freedom of highly divergent emission in broad-area square vertical-cavity surface-emitting lasers. , 2008, Physical review letters.

[60]  G. R. Hadley,et al.  Comprehensive modeling of diode arrays and broad-area devices with applications to lateral index tailoring , 1988 .

[61]  R. Indik,et al.  Space-time dynamics of wide-gain-section lasers. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[62]  J. McInerney,et al.  Spatial coherence and thermal lensing in broad-area semiconductor lasers , 2004, IEEE Journal of Quantum Electronics.

[63]  Stefan Morgott,et al.  High power diode lasers: technology and application in Europe , 2003, International Congress on Laser Advanced Materials Processing.

[64]  R. Khokhlov,et al.  Reviews of Topical Problems: Self-Focusing and Diffraction of Light in a Nonlinear Medium , 1968 .

[65]  A. Stintz,et al.  Gain and linewidth enhancement factor in InAs quantum-dot laser diodes , 1999, IEEE Photonics Technology Letters.

[66]  Guillaume Huyet,et al.  PATTERN FORMATION IN THE TRANSVERSE SECTION OF A LASER WITH A LARGE FRESNEL NUMBER , 1999 .