14 citations · 66 across the 11 of their papers we have counts for
11 papers
Direct verification of the kinetic description of wave turbulence for finite-size systems dominated by interactions among groups of 6 waves
J. W. Banks, T. Buckmaster, A. O. Korotkevich +2
The present work considers systems whose dynamics are governed by the nonlinear interactions among groups of 6 nonlinear waves, such as those described by the unforced quintic nonl…
High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces
Qing Xia, Jeffrey W. Banks, William D. Henshaw +4
We describe a fourth-order accurate finite-difference time-domain scheme for solving dispersive Maxwell's equations with nonlinear multi-level carrier kinetics models. The scheme i…
Improved effective linearization of nonlinear Schrödinger waves by increasing nonlinearity
Katelyn Plaisier Leisman, Douglas Zhou, J. W. Banks +2
From among the waves whose dynamics are governed by the nonlinear Schrödinger (NLS) equation, we find a robust, spatiotemporally disordered family, in which waves initialized with…
Network Mechanism for Insect Olfaction
Pamela B Pyzza, Katherine A Newhall, Douglas Zhou +2
Early olfactory pathway responses to the presentation of an odor exhibit remarkably similar dynamical behavior across phyla from insects to mammals, and frequently involve transiti…
Inverse scattering transform for two-level systems with nonzero background
Gino Biondini, Ildar Gabitov, Gregor Kovacic +1
We formulate the inverse scattering transform for the scalar Maxwell-Bloch system of equations describing the resonant interaction of light and active optical media in the case whe…
Modulation-resonance mechanism for surface waves in a two-layer fluid system
Shixiao W. Jiang, Gregor Kovačič, Douglas Zhou +1
We propose a Boussinesq-type model to study the surface/interfacial wave manifestation of an underlying, slowly-varying, long-wavelength, baroclinic flow in a two-layer, density-st…
Linearizable boundary value problems for the nonlinear Schrodinger equation in laboratory coordinates
Katelyn Plaisier Leisman, Gino Biondini, Gregor Kovacic
Boundary value problems for the nonlinear Schrodinger equation on the half line in laboratory coordinates are considered. A class of boundary conditions that lead to linearizable p…
Resonant optical pulses on a continuous wave background in two-level active media
Sitai Li, Gino Biondini, Gregor Kovacic +1
We present exact N-soliton optical pulses riding on a continuous-wave (c.w.) beam that propagate through and interact with a two-level active optical medium. Their representation i…
Optical Pulse Dynamics in Active Metamaterials with Positive and Negative Refractive Index
Alexander O. Korotkevich, Kathryn E. Rasmussen, Gregor Kovacic +4
We study numerically the propagation of two-color light pulses through a metamaterial doped with active atoms such that the carrier frequencies of the pulses are in resonance with…
Random polarization dynamics in a resonant optical medium
Katherine A. Newhall, Ethan P. Atkins, Peter R. Kramer +2
Random optical-pulse polarization switching along an active optical medium in the -configuration with spatially disordered occupation numbers of its lower energy sub-level pair…
Stochastic Pulse Switching in a Degenerate Resonant Optical Medium
Ethan P. Atkins, Peter R. Kramer, Gregor Kovacic +1
Using the idealized integrable Maxwell-Bloch model, we describe random optical-pulse polarization switching along an active optical medium in the Lambda-configuration with disorder…