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Current Research
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The study of nonlinear dynamics and
noise in optical devices and systems is relevant to very practical technological
applications such as compact disk players, fiber optic communications,
and the development of optical switching devices and laser arrays. At the
same time, nonlinear phenomena that are observed in devices and systems
of current interest may often be very interesting from a fundamental perspective.
An effort to understand nonlinear dynamical
phenomena in laser systems, for example, may lead us to confront a very
basic question - namely, under what conditions can we discern the influence
of quantum fluctuations on the chaotic dynamics of a macroscopic system?
Novel experimental schemes and techniques for analysis of data from nonlinear
systems must be combined to approach this problem, and it is necessary
to develop fully quantum mechanical models of nonlinear systems to predict
the outcome of such experiments. If quantum noise does significantly influence
the macroscopic dynamics of a nonlinear system under certain conditions
of operation, it will definitely impact our ability to actively control
the chaotic dynamics of these devices by deterministic techniques. The
control and synchronization of chaotic devices is important technologically,
since it may be possible to use chaotic lasers for encoding and decoding
information-carrying signals. |
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Recent Publications
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- "Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics," Adam B. Cohen, Bhargava Ravoori, Thomas E. Murphy, and Rajarshi Roy, Phys. Rev. Lett. 101, 154102 (2008).
- "Local Conditional Lyapunov Exponent Characterization of Consistency of dynamical Response of the Driven Lorenz System," Atsushi Uchi9da, Kakzuyuki Yoshimura, Peter David, Shigeru Yoshimori, and Rajarshi Roy, Phys. Rev. E 78, 036203 (2008).
- "Effect of Multiple Time Delays on Intensity Fluctuation Dynamics in Fiber Ring Lasers," Anthony L. Franz, Rajarshi Roy, Leah B. Shaw, and I. B. Schwartz, Phys. Rev. E 78, 016208 (2008).
- "Isochronal Synchrony and Bidirectional Communication with Delay-Coupled Nonlinear Oscillators," Brian B. Zhou and Rajarshi Roy, Phys. Rev. E 75, 026205 (2007).
- "Dual Synchronization of Chaos in Mackey-Glass Electronic Circuits with Time-Delayed Feedback," S. Sano, A. Uchida, S. Yoshimori, and R. Roy, Phys. Rev. E 75, 016207 (2007).
- "Localized Excitations in Arrays of Synchronized Laser Oscillators," Fabien Rogister and Rajarshi Roy, Phys. Rev. Lett. 98, 104101 (2007).
- "Changing Dynamical Complexity with Time Delay in Coupled Fiber Laser Oscillators," Anthony L. Franz, Rajarshi Roy, Leah Shaw, and Ira B. Schwartz, Phys. Rev. Lett. 99, 053905 (2007).
- "Controlling Optical Chaos, Spatio-Temporal Dynamics, and Patterns,” L. Illing, D. Gauthier, and Rajarshi Roy, pp. 615-697, Advances in Atomic, Molecular and Optical Physics, Vol. 54 (2007).
- "Synchronization of Unidirectionally Coupled Mackey-Glass Analog Circuits with Frequency Bandwidth Limitations," Min-Young Kim, Christopher Sramek, Atsushi Uchida, and Rajarshi Roy, Phys. Rev. E 74, 016211 (2006).
- "Laser Beams with Embedded Vortices: Tools for Atom Optics," N. Chattrapibon, E. Rogers, D. Cofield, Rajarshi Roy and W.T. Hill III, J. Opt. Soc. Am. B 23, 94–103 (2006).
- "Observation of Chaotic Itinerancy in the Light and Carrier Dynamics of a Semiconductor Laser with Optical Feedback," Will Ray, Wing-Shun Lam, Parvez N. Guzdar, and Rajarshi Roy, Phys. Rev. E 73, 026219 (2006).
- "Synchronization and Time Shifts of Dynamical Patterns for Mutually Delay-Coupled Fiber Ring Lasers," Leah B. Shaw, I. B. Schwartz, Elizabeth Rogers, and Rajarshi Roy, Chaos 16, 015111 (2006).
- "Synchronization and Symmetry Breaking in Mutually Coupled Fiber Lasers," Elizabeth A. Rogers-Dakin, Jordi Garcia-Ojalvo, David J.DeShazer, and Rajarshi Roy, Phys Rev E 73, 045201(R) (2006).
- "Synchronization of Unidirectionally Coupled Mackey-Glass Analog Circuits with Frequency Bandwidth Limitations," Min-Young Kim, C. Sramek, A. Uchida, and Rajarshi Roy, Phys. Rev. E74, 016211 (2006).
- "Scaling Behavior of Laser Population Dynamics with Time-Delayed Coupling: Theory and Experiment," M-Y. Kim, Rajarshi Roy, J. L. Aron, T.W. Carr, and I.B. Schwartz, Phys. Rev. Lett. 94, 088101 (2005).
- "Measurement of Hurst Exponents for Semiconductor Laser Phase Dynamics," Wing-Shun Lam, Will Ray, Parvez N. Guzdar, and Rajarshi Roy, Phys. Rev. Lett. 94, 010602 (2005).
- "Spatiotemporal Chaos Synchronization in a Large Array of Locally Coupled Nonidentical Lasers," F. Rogister and Rajarshi Roy, Laser Physics 15, 313–319 (2005).
- "Synchronization and Communication with Chaotic Laser Systems," A. Uchida, J. Garcia-Ojalvo, F. Rogister, and Rajarshi Roy, pp. 203–341, Chapter 5, Progress in Optics, Vol. 48, ed. E. Wolf (North Holland) (2005).
- "Chaos Down the Line," Rajarshi Roy, News and Views, article, Nature 438, 298-299 (2005).
- "Power-Law Spatial Correlations in Arrays of Locally Coupled Lasers," F. Rogister, K. Scott Thornburg, Jr., L. Fabiny, M. Moeller, and Rajarshi Roy, Phys. Rev. Lett. 92, 093905 (2004).
- "Phase Synchronization in a Modulated Chaotic Laser Array," D. J. DeShazer, R. Breban, E. Ott, and Rajarshi Roy, Intl. J. Bif. Chaos 14, 3205 (2004).
- "Generalized Synchronization of Chaos: Experiments on a Two-Mode Microchip Laser with Optoelectronic Feedback," R. McAllister, A. Uchida, R. Meucci, and Rajarshi Roy, Physica D195, 244-262 (2004).
- "Stochastic Bursting Due to Frequency Drift in an Injected Fiber Laser," Jordi Garcia-Ojalvo, David J. DeShazer, Brian P. Tighe, and Rajarshi Roy, J. Optics B, Semiclassical and Quantum Optics 6, S780–S785 (2004).
- "Experimental Observation of Noise-Induced Synchronization of Bursting Dynamical Systems," David J. DeShazer, Brian P. Tighe, Juergen Kurths, and Rajarshi Roy, IEEE Jour. Sel. Top. Quant. Elect. 10, 906-910 (2004). (Invited paper).
- "Generalized Synchronization of Spatiotemporal Chaos in a Liquid Crystal Spatial Light Modulator," E. Rogers, R. Kalra, R. Schroll, A. Uchida, D.P. Lathrop, and Rajarshi Roy, Phys. Rev. Lett. 93, 084101 (2004).
- "Consistency of Nonlinear System Response to Complex Drive Signals," A. Uchida, R. McAllister, and Rajarshi Roy, Phys. Rev. Lett. 93, 244102 (2004).
- "Measuring Intense Rotation and Dissipation in Turbulent Flows," Benjamin W. Zeff, Daniel D. Lanterman, Ryan McAllister, Rajarshi Roy, Eric J. Kostelich, and Daniel P. Lathrop, Nature 421, 146 (2003).
- "Competition Between Two Frequencies for Phase Synchronization of a Chaotic Laser," Ryan McAllister, Riccardo Meucci, David DeShazer, and Rajarshi Roy, Phys. Rev. E 67, 015202(R) (2003).
- "Hilbert Phase Analysis of the Dynamics of a Semiconductor Laser with Optical Feedback," Wing-Shun Lam, Parvez N. Guzdar, and Rajarshi Roy, Phys. Rev. E 67, 025604(R) (2003).
- "Bursting Dynamics of a Fiber Laser with an Injected Signal," David J. DeShazer, J. Garcia-Ojalvo, and Rajarshi Roy, Phys. Rev. E 67, 036602 (2003).
- "Effect of Spontaneous Emission Noise and Modulation on Semiconductor Lasers near Threshold with Optical Feedback," Wing-Shun Lam, Parvez N. Guzdar, and Rajarshi Roy, Int. J. Mod. Phys. B17, 4123-4138 (2003).
- "Generalized Synchronization of Chaos in Identical Systems with Hidden Degrees of Freedom", A. Uchida, R. McAllister, R. Meucci, and Rajarshi Roy, Phys. Rev. Lett. 91, 174101 (2003).
- "Generation of Nondiffracting Bessel Beams by Use of a Spatial Light Modulator," N. Chattrapibon, E. Rogers, D. Cofield, W.T. Hill III, and Rajarshi Roy, Optics Letters 28, 2183 (2003).
- "Using GRENOUILLE to Characterize Asymmetric Femtosecond Pulses Undergoing Self- and Cross-Phase Modulation in a Polarization-Maintaining Optical Fiber," B. Khubchandani, A. Christian Silva, Parvez N. Guzdar, and Rajarshi Roy, Optics Express 11, 3063-3073 (2003).
- "Stochastic Modeling of Bursting Dynamics in an Injected Fiber Laser," J Garcia-Ojalvo, D. J. DeShazer, and R. Roy, Proceedings SPIE vol. 5111, pp. 126-134 (2003), Fluctuations and Noise in Photonics and Quantum Optics, ed. by D. Abbott, J. H. Shapiro, and Y. Yamamoto.
- "Communicating with Optical Spatiotemporal Chaos," J. Garcia-Ojalvo and Rajarshi Roy, Proc. SPIE, Int. Soc. Opt. Eng. 4646, 525 (2002).
- "Communication with Dynamically Fluctuating States of Light Polarization," Gregory D. VanWiggeren, and Rajarshi Roy, Phys. Rev. Lett. 88, 097903 (2002).
- "Chaotic Function Generator: Complex Dynamics and Its Control in a Loss-Modulated Nd:YAG Laser," R. Meucci, Ryan McAllister, and Rajarshi Roy, Phys. Rev. E 66, 026216 (2002).
- "Influence of Stochasticity on Multiple Four-Wave-Mixing Processes in an Optical Fiber," Bhaskar Khubchandani, Parvez N. Guzdar, and Rajarshi Roy, Phys. Rev. E 66, 066609 (2002).
- "Spatiotemporal Communication with Synchronized Optical Chaos," J. Garcia-Ojalvo and Rajarshi Roy, Phys. Rev. Lett. 86, 5204 (2001).
- "Detecting Phase Synchronization in a Chaotic Laser Array," D. DeShazer, R. Breban, E. Ott, and R. Roy, Phys. Rev. Lett. 87, 044101 (2001).
- "Parallel Communication with Optical Spatiotemporal Chaos," J. Garcia-Ojalvo and R. Roy, IEEE Trans. Circuits and Systems 48, 1491 (2001).
- "Dynamics of Activated Escape and Its Observation in a Semiconductor Laser," J. Hales, A. Zhukov, R. Roy, and M. I. Dykman, Phys. Rev. Lett. 85, 78-81 (2000).
- "High-Speed Fiber-Optic Polarization Analyzer: Measurements of the Polarization Dynamics of an Erbium-Doped Fiber Ring Laser," G. D. VanWiggeren and R. Roy, Opt. Comm. 164, 107-120 (1999).
- "Transmission of Linearly Polarized Light through a Single-Mode Fiber with Random Fluctuations of Birefringence," G. D. VanWiggeren and R. Roy, Appl. Opt. 38, 3888 (1999).
- "Synchronization of Chaos in an Array of Three Lasers," J. R. Terry, K. Scott Thornburg, D. DeShazer, G. D. VanWiggeren, S. Zhu, P. Ashwin, and R. Roy, Phys. Rev. E 59, 4036 (1999).
- "Chaotic Communication Using Time-Delayed Optical Systems," G. D. VanWiggeren and R. Roy, Int. J. Bifur. Chaos 9 [11], 2129 (1999).
- "Blowout Bifurcation in a System of Coupled Chaotic Lasers," P. Ashwin, J. Terry, K. S. Thornburg, Jr., and R. Roy, Phys. Rev. E 58, 7186 (1998).
- "Polarization-Based Data Storage in Fibre Ring Lasers," J. García-Ojalvo and R. Roy, Quantum Semiclass. Opt.: J. European Opt. Soc. Part B 10, 723 (1998).
- "Optical Communication with Chaotic Waveforms," G. D. VanWiggeren and R. Roy, Phys. Rev. Lett. 81, 3547 (1998).
- "Dynamical Evolution of Multiple Four-Wave Mixing Processes in an Optical Fiber," Darlene Hart, A. Judy, R. Roy, and J. W. Beletic, Phys. Rev. E 57, 4757 (1998).
- "Communication with Chaotic Lasers," G. D. VanWiggeren and R. Roy, Science 279, 1198 (1998).
- "Intracavity Chaotic Dynamics in Ring Lasers with an Injected Signal," J. García-Ojalvo and R. Roy, Phys. Lett. A 229, 362 (1997).
- "Fast Intracavity Polarization Dynamics of an Erbium-Doped Fiber Ring Laser: Inclusion of Stochastic Effects," Q. L. Williams, J. García-Ojalvo, and R. Roy, Phys. Rev. A 55, 2376 (1997).
- "Encoding and Decoding Messages with Chaotic Lasers," P. M. Alsing, A. Gavrielides, V. Kovanis, R. Roy, and K. S. Thornburg, Jr., Phys. Rev. E 56, 6302-6310 (1997).
- "Influence of Noise on Chaotic Laser Dynamics," C. Liu, R. Roy, H.D.I. Abarbanel, Z. Gills, and K. Nunes, Phys. Rev. E 55, 6483-6500 (1997).
- "Chaos and Coherence in Coupled Lasers," K. Scott Thornburg, M. Moeller, R. Roy, R. Li, T. Carr, and T. Erneux, Phys. Rev. E 55, 3865 (1997).
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Webpage maintained by Dorothea F. Brosius
Modified 04/02/08 by DFB
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