191 citations · 1.3k across the 53 of their papers we have counts for
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Open Subsystems of Conservative Systems
Alexander Figotin, Stephen P. Shipman
The subject under study is an open subsystem of a larger linear and conservative system and the way in which it is coupled to the rest of system. Examples are a model of crystallin…
Linear superposition in nonlinear wave dynamics
A. Babin, A. Figotin
We study nonlinear dispersive wave systems described by hyperbolic PDE's in R^{d} and difference equations on the lattice Z^{d}. The systems involve two small parameters: one is th…
Gigantic transmission band edge resonance in periodic stacks of anisotropic layers
Alex Figotin, Ilya Vitebskiy
We consider Fabry-Perot cavity resonance in periodic stacks of anisotropic layers with misaligned in-plane anisotropy at the frequency close to a photonic band edge. We show that i…
Slow light in photonic crystals
A. Figotin, I. Vitebskiy
The problem of slowing down light by orders of magnitude has been extensively discussed in the literature. Such a possibility can be useful in a variety of optical and microwave ap…