100 citations · 448 across the 24 of their papers we have counts for
25 papers
Transition to instability of the leapfrogging vortex quartet
Roy H. Goodman, Brandon M. Behring
The point vortex system is a system of longstanding interest in nonlinear dynamics, describing the motion of a two-dimensional inviscid fluid that is irrotational except at a discr…
Apodizer Design to Efficiently Couple Light into a Fiber Bragg Grating
J. Adriazola, R. H. Goodman
We provide an optimal control framework for efficiently coupling light in a bare fiber into Bragg gratings with a cubic nonlinearity. The light-grating interaction excites gap soli…
Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential
J. Adriazola, R. H. Goodman, P. G. Kevrekidis
We pose the problem of transferring a Bose-Einstein Condensate (BEC) from one side of a double-well potential to the other as an optimal control problem for determining the time-de…
An Optimal Control Approach to Gradient-Index Design for Beam Reshaping
Jimmie Adriazola, Roy H. Goodman
We address the problem of reshaping light in the Schrödinger optics regime from the perspective of optimal control theory. In technological applications, Schrödinger optics is ofte…
A Reduction-Based Strategy for Optimal Control of Bose-Einstein Condensates
Jimmie Adriazola, Roy H. Goodman
Applications of Bose-Einstein Condensates (BEC) often require that the condensate be prepared in a specific complex state. Optimal control is a reliable framework to prepare such a…
Solitary Waves in Mass-in-Mass Lattices
Timothy E. Faver, Roy H. Goodman, J. Douglas Wright
We consider the existence of spatially localized traveling wave solutions of the mass-in-mass lattice. Under an anti-resonance condition first discovered by Kevrekidis, Stefanov an…