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QGLAB: A MATLAB Package for Computations on Quantum Graphs
We describe QGLAB, a new MATLAB package for analyzing partial differential equations on quantum graphs.
Roy Goodman
,
Gracie Conte
,
Jeremy Marzuola
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arXiv
GitHub
Apodizer Design to Efficiently Couple Light into a Fiber Bragg Grating
We use an optimal control framework to efficiently couple light into a fiber Bragg grating, improving a previously-reported 66 percent transmission to 88 percent.
Jimmie Adriazola
,
Roy Goodman
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DOI
Transition to instability of the leapfrogging vortex quartet
We show via analytical perturbation theory that the leapfrogging vortex quartet becomes unstable exactly at the critical ratio $\alpha= \phi^{-2}.$
Roy Goodman
,
Brandon Behring
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Journal
arXiv
Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential
We use optimal control based on a Galerkin-truncated model to transfer a BEC from one well of a two-well potential to the other.
Jimmie Adriazola
,
Roy Goodman
,
Panos Kevrekidis
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Journal
arXiv
A Reduction-Based Strategy for Optimal Control of Bose-Einstein Condensates
Applications of Bose-Einstein Condensates (BEC) often require that the condensate be prepared in a specific complex state. Optimal …
Jimmie Adriazola
,
Roy Goodman
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Journal
arXiv
An Optimal Control Approach to Gradient-Index Design for Beam Reshaping
We address the problem of reshaping light in the Schrödinger optics regime from the perspective of optimal control theory. In …
Jimmie Adriazola
,
Roy Goodman
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Journal
arXiV
Solitary Waves in Mass-in-Mass Lattices
We consider the existence of spatially localized traveling wave solutions of the mass-in-mass lattice. Under an anti-resonance …
Timothy Faver
,
Roy Goodman
,
Doug Wright
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Journal
arXiv
Loss of Physical Reversibility in Reversible Systems
A dynamical system is said to be reversible if, given an output, the input can always be recovered in a well-posed manner. …
Amir Sagiv
,
Adi Ditkowski
,
Roy Goodman
,
Gadi Fibich
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Journal
arXiv
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach
We investigate the stability of a one-parameter family of periodic solutions of the four-vortex problem known as
leapfrogging
orbits. …
Brandon Behring
,
Roy Goodman
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Journal
arXiv
Drift of spectrally stable shifted states on star graphs
When the coefficients of the cubic terms match the coefficients in the boundary conditions at a vertex of a star graph and satisfy a …
Adilbek Kairzhan
,
Dmitry Pelinovsky
,
Roy Goodman
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Journal
arXiv
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