167 research outputs found
Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magneto-electric medium
We present a canonical quantization of macroscopic electrodynamics. The
results apply to inhomogeneous media with a broad class of linear
magneto-electric responses which are consistent with the Kramers-Kronig and
Onsager relations. Through its ability to accommodate strong dispersion and
loss, our theory provides a rigorous foundation for the study of quantum
optical processes in structures incorporating metamaterials, provided these may
be modeled as magneto-electric media. Previous canonical treatments of
dielectric and magneto-dielectric media have expressed the electromagnetic
field operators in either a Green function or mode expansion representation.
Here we present our results in the mode expansion picture with a view to
applications in guided wave and cavity quantum optics.Comment: Submitted to Physical Review A 24/07/201
Slow light with flat or offset band edges in multi-mode fiber with two gratings
We consider mode coupling in multimode optical fibers using either two Bragg
gratings or a Bragg grating and a long-period grating. We show that the
magnitude of the band edge curvature can be controlled leading to a flat,
quartic band-edge or to two band edges at distinct, nonequivalent -values,
allowing precise control of slow light propagation.Comment: 6 pages, 3 figure
Coupled-mode theory for spatial gap solitons in optically-induced lattices
We develop a coupled-mode theory for spatial gap solitons in the
one-dimensional photonic lattices induced by interfering optical beams in a
nonlinear photorefractive crystal. We derive a novel system of coupled-mode
equations for two counter-propagating probe waves, and find its analytical
solutions for stationary gap solitons. We also predict the existence of moving
(or tilted) gap solitons and study numerically soliton collisions.Comment: 3 pages, submitted to Optics Letter
Enhanced soliton transport in quasi-periodic lattices with short-range aperiodicity
We study linear transmission and nonlinear soliton transport through
quasi-periodic structures, which profiles are described by multiple modulation
frequencies. We show that resonant scattering at mixed-frequency resonances
limits transmission efficiency of localized wave packets, leading to radiation
and possible trapping of solitons. We obtain an explicit analytical expression
for optimal quasi-periodic lattice profiles, where additional aperiodic
modulations suppress mixed-frequency resonances, resulting in dramatic
enhancement of soliton mobility. Our results can be applied to the design of
photonic waveguide structures, and arrays of magnetic micro-traps for atomic
Bose-Einstein condensates.Comment: 4 pages, 4 figure
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