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Abstract
We show that complex PT-symmetric photonic lattices can lead to a new class of self-imaging Talbot effects. For this to occur, we find that the input field pattern has to respect specific periodicities dictated by the symmetries of the system. While at the spontaneous PT-symmetry breaking point the image revivals occur at Talbot lengths governed by the characteristics of the passive lattice, at the exact phase it depends on the gain and loss parameter, thus allowing one to control the imaging process.
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Affiliation(s)
- Hamidreza Ramezani
- Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA
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Pochet M, Naderi NA, Terry N, Kovanis V, Lester LF. Dynamic behavior of an injection-locked quantum-dash Fabry-Perot laser at zero-detuning. Opt Express 2009; 17:20623-20630. [PMID: 19997291 DOI: 10.1364/oe.17.020623] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
This work investigates the behavior of a zero-detuned optically-injected quantum-dash Fabry-Perot laser as the injected field ratio is increased from near-zero to levels resulting in stable locking. Using a normalized model describing optically-injected semiconductor lasers, variations in the slave laser's free-running characteristics are shown to have a strong impact on the coupled system's behavior. The theoretical model is verified experimentally using a high resolution spectrometer. It is found that the quantum-dash laser has the technological advantage of a low linewidth enhancement factor at low bias currents that suppresses undesirable Period-2 and chaotic behavior. Such observations suggest that optically-injected quantum-dash lasers can be used as an enabling component for tunable photonic oscillators.
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Affiliation(s)
- M Pochet
- Center for High Technology Materials, University of New Mexico, 1313 Goddard SE, Albuquerque, NM 87106, USA.
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Nizette M, Erneux T, Gavrielides A, Kovanis V, Simpson TB. Bistability of pulsating intensities for double-locked laser diodes. Phys Rev E Stat Nonlin Soft Matter Phys 2002; 65:056610. [PMID: 12059734 DOI: 10.1103/physreve.65.056610] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/17/2001] [Indexed: 05/23/2023]
Abstract
Rate equations for semiconductor lasers subjected to simultaneous near-resonant optical injection and microwave current modulation are examined by combined analytical-numerical bifurcation techniques. Simple qualitative criteria are given for a bistable response. These results compare well with experimental measurements.
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Affiliation(s)
- M Nizette
- Université Libre de Bruxelles, Optique Nonlinéaire Théorique, Campus Plaine, Code Postal 231, 1050 Bruxelles, Belgium
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Davidchack RL, Lai YC, Gavrielides A, Kovanis V. Regular dynamics of low-frequency fluctuations in external cavity semiconductor lasers. Phys Rev E Stat Nonlin Soft Matter Phys 2001; 63:056206. [PMID: 11414989 DOI: 10.1103/physreve.63.056206] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/21/2000] [Indexed: 05/23/2023]
Abstract
It is commonly believed that the dynamics responsible for low-frequency fluctuations (LFF's) in external cavity semiconductor lasers is stochastic or chaotic. A common approach to address the origin of LFF's is to investigate the dynamical behavior of, and the interaction among, various external cavity modes in the Lang-Kobayashi (LK) paradigm. In this paper, we propose a framework for understanding of the LFFs based on a different set of fundamental solutions of the LK equations, which are periodic or quasiperiodic, and which are characterized by a sequence of time-locked pulses with slowly varying magnitude. We present numerical evidence and heuristic arguments, indicating that the dynamics of LFF's emerges as a result of quasiperiodic bifurcations from these solutions as the pumping current increases. Regular periodic solutions can actually be observed when (1) the feedback level is moderate, (2) pumping current is below solitary threshold, and (3) the linewidth enhancement factor is relatively large.
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Affiliation(s)
- R L Davidchack
- Department of Mathematics and Computer Science, University of Leicester, Leicester LE1 7RH, United Kingdom
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Nizette M, Erneux T, Gavrielides A, Kovanis V. Stability and bifurcations of periodically modulated, optically injected laser diodes. Phys Rev E Stat Nonlin Soft Matter Phys 2001; 63:026212. [PMID: 11308563 DOI: 10.1103/physreve.63.026212] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Revised: 06/06/2000] [Indexed: 05/23/2023]
Abstract
Recent experiments using lasers subject to external injection [T. B. Simpson, Opt. Commun., 170, 93 (1999)] have shown remarkable locking performances when a small reference current modulation is added to the dc-bias current. The locking problem is studied analytically by using a multiple scale perturbation method. We derive a slow time amplitude equation for the laser rapid limit-cycle oscillations. The solution of this equation is then investigated both analytically and numerically using a continuation method. We find that the intensity of the laser field can be time periodic (locking) or quasiperiodic (unlocking) and that there exist two distinct bifurcation mechanisms leading to locking. Finally, we compare bifurcation diagrams based on our amplitude equation with diagrams obtained from the laser original equations and find a good quantitative agreement.
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Affiliation(s)
- M Nizette
- Université Libre de Bruxelles, Optique Nonlinéaire Théorique, Campus Plaine, Code Postal Interne 231, 1050 Bruxelles, Belgium
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Newell TC, Kovanis V, Gavrielides A, Bennett P. Observation of the concurrent creation and annihilation of periodic orbits in a nonlinear RLC circuit. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1996; 54:3581-3590. [PMID: 9965505 DOI: 10.1103/physreve.54.3581] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Newell TC, Kovanis V, Gavrielides A. Experimental Demonstration of Antimonotonicity: The Concurrent Creation and Destruction of Periodic Orbits in a Driven Nonlinear Electronic Resonator. Phys Rev Lett 1996; 77:1747-1750. [PMID: 10063161 DOI: 10.1103/physrevlett.77.1747] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Erneux T, Kovanis V, Gavrielides A, Alsing PM. Mechanism for period-doubling bifurcation in a semiconductor laser subject to optical injection. Phys Rev A 1996; 53:4372-4380. [PMID: 9913411 DOI: 10.1103/physreva.53.4372] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Simpson TB, Liu JM, Huang KF, Tai K, Clayton CM, Gavrielides A, Kovanis V. Cavity enhancement of resonant frequencies in semiconductor lasers subject to optical injection. Phys Rev A 1995; 52:R4348-R4351. [PMID: 9912856 DOI: 10.1103/physreva.52.r4348] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Mozdy E, Newell TC, Alsing PM, Kovanis V, Gavrielides A. Synchronization and control in a unidirectionally coupled array of chaotic diode resonators. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1995; 51:5371-5376. [PMID: 9963269 DOI: 10.1103/physreve.51.5371] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Simpson TB, Liu JM, Gavrielides A, Kovanis V, Alsing PM. Period-doubling cascades and chaos in a semiconductor laser with optical injection. Phys Rev A 1995; 51:4181-4185. [PMID: 9912093 DOI: 10.1103/physreva.51.4181] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Newell TC, Alsing PM, Gavrielides A, Kovanis V. Synchronization of chaotic resonators based on control theory. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1995; 51:2963-2973. [PMID: 9962974 DOI: 10.1103/physreve.51.2963] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Alsing PM, Gavrielides A, Kovanis V. History-dependent control of unstable periodic orbits. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1994; 50:1968-1977. [PMID: 9962198 DOI: 10.1103/physreve.50.1968] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Newell TC, Alsing PM, Gavrielides A, Kovanis V. Synchronization of chaotic diode resonators by occasional proportional feedback. Phys Rev Lett 1994; 72:1647-1650. [PMID: 10055665 DOI: 10.1103/physrevlett.72.1647] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Alsing PM, Gavrielides A, Kovanis V. Using neural networks for controlling chaos. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1994; 49:1225-1231. [PMID: 9961330 DOI: 10.1103/physreve.49.1225] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Newell TC, Alsing PM, Gavrielides A, Kovanis V. Synchronization of chaos using proportional feedback. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1994; 49:313-318. [PMID: 9961219 DOI: 10.1103/physreve.49.313] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Dunlap DH, Kovanis V, Duncan RV, Simmons J. Frequency-to-voltage converter based on Bloch oscillations in a capacitively coupled GaAs-GaxAl1-xAs quantum well. Phys Rev B Condens Matter 1993; 48:7975-7980. [PMID: 10006984 DOI: 10.1103/physrevb.48.7975] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Cardimona DA, Kovanis V, Sharma MP, Gavrielides A. Quantum collapses and revivals in a nonlinear Jaynes-Cummings model. Phys Rev A 1991; 43:3710-3723. [PMID: 9905461 DOI: 10.1103/physreva.43.3710] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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