Currently, I am program manager at the Defense Advanced Research Projects
Agency (DARPA). Prior to joining DARPA in the Microsystems
Technology Office (MTO) I was involved in both
industry and academia through simultaneous positions at HRL Laboratories and California Institute of
Technology (Caltech). On the industrial side I was responsible for a lab wide effort
applying nonlinear sciences through the Physics group.
At Caltech I was working on topics in statistical mechanics, MEMS/NEMS, and condensed matter through the departments of Control and
Dynamical Systems (CDS) and Physics.
My broader research interests include a variety of topics in nonlinear
sciences, computation (classical, dynamical, and quantum), statistical mechanics, and systems far from equilibrium.
Information on this page is limited to my own research. Background on my DARPA activities can be found on the agency's website.
Please feel free to contact me with any comments or questions.
More detailed information about my science background can be found in
Contact information at DARPA
Power combining of optical and millimeter wave arrays
Coupled nonlinear oscillators
Nonequilibrium statistical mechanics
Rayleigh-Benard convection turns out to be a
interesting system for studying
Effect of Gain-Dependent Phase Shift on Fiber Laser Synchronization
--Kurt Wiesenfeld, Slavan Peles, and Jeffrey L. Rogers; IEEE Journal of Selected Topics in Quantum Electronics, Vol. 15, Issue 2, pp. 312-319 (2009) [invited paper]
Coherence between two coupled lasers from a dynamics perspective
--William Ray, Jeffrey L. Rogers, and Kurt Wiesenfeld; Optics Express, Vol. 17, Issue 11, pp. 9357-9368 (2009)
compare a simple dynamical model of fiber laser arrays with independent
experiments on two coupled lasers. The degree of agreement with
experimental observations is excellent. Collectively the evidence
presented supports this dynamical approach as an alternative to the
traditional static eigenmode analysis of the coupled laser cavities. PDF version (230 kB).
Exploiting nonlinearity to provide adaptable energy harvesting
--Barry E. DeMartini , Jeffrey L. Rogers, and Kimberly L. Turner, Proceedings of ASME Dynamic Systems and Control Conference DSCC2009-2152, (2009) [refereed conference proceedings]
Refined Fiber Laser Model
--William Ray, Kurt Wiesenfeld, and Jeffrey L. Rogers, Phys. Rev. E, Vol. 78, Issue 4, 046203 (2008)
Abstract: We refine dynamical equations derived
to explain recently reported coherence effects in fiber laser arrays by
extending the range of validity to include both three-level and
four-level lasers. Predicted features of the model, including
transitions between distinct dynamical states, are evaluated against
both published experiments from other investigators and new experiments
we performed. The comparisons demonstrate excellent agreement over a
wide range of operating conditions. PDF version (601 kB).
synchronization in fiber
--Slaven Peles, Jeffrey L.
Rogers, and Kurt Wiesenfeld; Physical Review E 73, 026212 (2006)
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
This paper is available in pdf (355
kB) or gzipped ps
by Reactive Coupling and Nonlinear Frequency Pulling
--M.C. Cross, J.L.
Rogers, Ron Lifshitz, and A. Zumdieck; Physical Review E 73, 036205 (2006); nlin/0510002 on arXiv.org; Virtual Journal of Nanoscale Science & Technology 13, issue 11 (2006)
present a detailed analysis of a model for the synchronization of
oscillators due to reactive coupling and nonlinear frequency pulling.
the model for the mean field case of all-to-all coupling, deriving
the initial onset of synchronization as the coupling or nonlinearity
and conditions for the existence of the completely synchronized state
the oscillators evolve with the same frequency. Explicit results are
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 (1449 kB) format.
Coherent Fiber Arrays
Monica Minden, J.L. Rogers, D.C. Jones, and M.S.
Mangir; CLEO (2005)
Abstract: 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.
in shaken convection
Werner Pesch, Oliver Brausch, and Michael F. Schatz;
Physical Review E 71,
066214, June (2005)
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
file or a PDF
Fiber Laser Arrays
Slaven Peles, and Kurt Wiesenfeld;
IEEE Journal of Quantum Electronics 41, no. 6, pp.
767--773, June (2005).
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.
in fiber laser arrays
D.C. Jones, M.S. Mangir, M. Minden, and J.L.
Optics Letters 30, no. 11, pp. 1339--1341 (2005).
results synchronizing lasers in arrays of 4 and 5 elements to form
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.
Nonlinear Frequency Pulling
--M.C. Cross, A.
Zumdieck, Ron Lifshitz, and J.L. Rogers, Physical
Review Letters 93, 224101 (2004); cond-mat/0406673 on arXiv.org; Virtual Journal of Nanoscale Science & Technology 10, issue 23 (2004);
the context of nanoelectromechanical cantilevers we derive a coupled
oscillator model that includes reactive coupling and nonlinear
frequency pulling in addition to the standard disspative coupling.
The paper details a method for analyzing the model and uses
those tools to study four different distributions in natural
frequencies. Download the final draft paper as a PDF format or as a
file. This version has the only paper figure in the intended 2 column
format and does not have a couple of errors that were added in the
publication process. The published form of the paper is also available in PDF format or as a gzipped postscript file.
vertically oscillated convection
both high-resolution EPS
format (52 Mb) and
format (.38 Mb).
--J.L. Rogers, W.
and M.F. Schatz, Nonlinearity 16
article featured on the cover for the journal Nonlinearity
Download article as gzipped postscript (.ps.gz, 1.16 Mb) or pdf (.55 Mb).
Formation: Stabilization, Complex-Order, and Symmetry
--J.L. Rogers (2001). My PhD
dissertation as a gzipped postscript file
vertically oscillated Rayleigh-Benard convection
--J.L. Rogers, M.F.
Schatz, O. Brausch and W. Pesch,
Physical Review Letters 85, 4281 (2000)
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.
Convection in a Vertically Oscillated Fluid
--J.L. Rogers, M.F.
Schatz, J.L. Bougie and J.B. Swift, Physical
Review Letters 84, 87 (2000)
paper in PDF, PS