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Publications

  • Robust synchronization in fiber laser arrays
    -- Slaven Peles, Jeffrey L. Rogers, and Kurt Wiesenfeld; submitted to PRE (Oct. 2005)
    • Abstract: Synchronization of coupled fiber lasers has been reported in recent experiments [bruesselbach-2005,minden-2004]. While these results may lead to a dramatic advances in laser technology, the mechanism by which these lasers synchronize is not understood. We analyze a recently proposed [rogers-2005] iterated map model of fiber laser arrays to explore this phenomenon. In particular, we look at synchronous solutions to the maps when the gain fields are constant. Determining the stability of these solutions is analytically tractable for a number of different coupling schemes. We find that in the most symmetric physical configurations the most symmetric solution is either unstable or stable over insufficient parameter range to be practical. In contrast, a lower symmetry configuration yields surprisingly robust coherence. This coherence persists beyond the pumping threshold for which the gain fields become time dependent. This paper is available in pdf (355 kB) or gzipped ps (300 kB) format.

  • Synchronization by Reactive Coupling and Nonlinear Frequency Pulling
    -- M.C. Cross, J.L. Rogers, Ron Lifshitz, and A. Zumdieck; submitted to PRE (Oct. 2005)
    • Abstract: We present a detailed analysis of a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling. We study the model for the mean field case of all-to-all coupling, deriving results for the initial onset of synchronization as the coupling or nonlinearity increase, and conditions for the existence of the completely synchronized state when all the oscillators evolve with the same frequency. Explicit results are derived for Lorentzian, triangular, and top-hat distributions of oscillator frequencies. Numerical simulations are used to construct complete phase diagrams for these distributions. This paper is available in pdf (568 kB) or gzipped ps (401 kB) format.

  • 200 W Self-Organized Coherent Fiber Arrays
    -- Hans Bruesselbach, Monica Minden, J.L. Rogers, D.C. Jones, and M.S. Mangir; to appear in CLEO 2005
    We report producing 200 Watt coherent fiber laser arrays without active control. This outcome is obtained via self-organization using a non-fiber coupler for two- to ten- laser arrays. Paper available in pdf format.

  • Complex-Ordered Patterns in Shaken Convection
    -- J.L. Rogers, Werner Pesch, Oliver Brausch, and Michael F. Schatz; Physical Review E 71, 066214, June 2005
    A detailed description of the complex-ordered patterns that we found in shaken convection. Experiments and analysis, including simulations, are presented and compared. Four-wave interactions are found to be responsible for the majority of the observed complex patterns. The paper is available as a gzipped postscript file or a PDF file.

  • Model for High-Gain Fiber Laser Arrays
    -- J.L. Rogers, Slaven Peles, and Kurt Wiesenfeld; to appear in IEEE Journal of Quantum Electronics 41, no. 6, June 2005.
    This invited paper presents a model describing the high gain typical of fiber lasers with the intention of understanding experimental results. Analysis and simulations of the model for the case of a single laser and an array are presented. The model reproduces the behaviors observed in the laboratory. A PDF version of the paper is available.

  • Self-organized coherence in fiber laser arrays
    -- H. Bruesselbach, D.C. Jones, M.S. Mangir, M. Minden, and J.L. Rogers, to appear in Optics Letters 30, no. 11 (2005).
    Reporting experimental results synchronizing lasers in arrays of 4 and 5 elements to form inphase states. These were the initial results from this project and the first experiments to show self-organizing laser arrays. A number of subsequent experimental and analysis findings are in the process of being written up. Download the paper as a PDF.

  • Synchronization by Nonlinear Frequency Pulling
    -- M.C. Cross, A. Zumdieck, Ron Lifshitz, and J.L. Rogers, Physical Review Letters 93, 224101 (2004) and cond-mat/0406673 on arxiv.org.
    Reporting analysis of synchronization in arrays of coupled nonlinear oscillators. This Letter studies a generalization of a standard system of nonlinear oscillators to include reactive interactions and a nonlinear frequency pulling. This is in constrast to the more common models that study synchronization due to dissipative interactions. Download the final draft paper as a PDF format or as a gzipped postscript file. This version has figure 1 in the intended 2 column format and does not have a couple of errors that were added in the publication process.

  • Self-Organized Coherence in Fiber Laser Arrays
    -- M.L. Minden, Hans Bruesselbach, J.L. Rogers, M.S. Mangir, D.C. Jones, G.J. Dunning, D.L. Hammon, A.J. Solis, and L. Vaughan; Fiber Lasers: Technology, Systems, and Applications, Proceedings of SPIE 5535, p. 89-97, Jun. (2004)

    • cover image

  • Pattern formation in vertically oscillated convection
    -- J.L. Rogers, W. Pesch, and M.F. Schatz, Nonlinearity 16 C1-C10 (2003)
    Review article featured on the cover for the journal Nonlinearity throughout 2003. Download article as gzipped postscript (.ps.gz, 1.16 Mb) or pdf (.55 Mb).

    • Cover images in both high-resolution EPS format (52 Mb) and low-resolution JPEG format (.38 Mb).
  • Modulated Pattern Formation: Stabilization, Complex-Order, and Symmetry
    -- J.L. Rogers (2001).     My PhD dissertation as a gzipped postscript file (6.9 Mb)

  • Superlattice patterns in vertically oscillated Rayleigh-Benard convection
    -- J.L. Rogers, M.F. Schatz, O. Brausch and W. Pesch, Physical Review Letters 85, 4281 (2000)
    Letter reporting the first observations of superlattice patterns in convection. These complicated states are found in our experiments and numerical solutions of the Boussinesq equations. Download in PDF format or as a gzipped postscript file.

  • Rayleigh-Benard Convection in a Vertically Oscillated Fluid Layer
    -- J.L. Rogers, M.F. Schatz, J.L. Bougie and J.B. Swift, Physical Review Letters 84, 87 (2000), download paper in     PDF, PSformat.)
  • Phase transitions in nonlinear oscillator chains
    -- J.L. Rogers and L.T. Wille, Physical Review E 54, R2193-R2196, (1996).

  • Towards First-Principles Theories of Materials and Biological Systems-the Need for Massive Parallelism
    -- L.T. Wille, J.L. Rogers, C.P. Burmester, and R. Gronsky, Future Generation Computer Systems, 10 (1994).

  • Introduction to Parallel Computing on the MP-1
    -- J.L. Rogers, a users guide written for the computing communities at Florida Atlantic University and Motorola, (1994).

  • Collective Rhythmicity in Biological Oscillator Ensembles
    -- J.L. Rogers and L.T. Wille, Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, SIAM Philadelphia, 270-273 (1993).

  • Solution of Two Coupled Nonlinear Oscillators
    -- J.L. Rogers, Journal of Undergraduate Research in Physics, (1992).