7,735 research outputs found
Asymmetric scattering and non-orthogonal mode patterns in optical micro-spirals
Quasi-bound states in an open system do in general not form an orthogonal and
complete basis. It is, however, expected that the non-orthogonality is weak in
the case of well-confined states except close to a so-called exceptional point
in parameter space. We present numerical evidence showing that for passive
optical microspiral cavities the parameter regime where the non-orthogonality
is significant is rather broad. Here we observe almost-degenerate pairs of
well-confined modes which are highly non-orthogonal. Using a non-Hermitian
model Hamiltonian we demonstrate that this interesting phenomenon is related to
the asymmetric scattering between clockwise and counterclockwise propagating
waves in the spiral geometry. Numerical simulations of ray dynamics reveal a
clear ray-wave correspondence.Comment: 8 pages, 10 figure
Two Circular-Rotational Eigenmodes in Vortex Gyrotropic Motions in Soft Magnetic Nanodots
We found, by micromagnetic numerical and analytical calculations, that the
clockwise (CW) and counterclockwise (CCW) circular-rotational motions of a
magnetic vortex core in a soft magnetic circular nanodot are the elementary
eigenmodes existing in the gyrotropic motion with respect to the corresponding
CW and CCW circular-rotational-field eigenbasis. Any steady-state vortex
gyrotropic motions driven by a linearly polarized oscillating in-plane magnetic
field in the linear regime can be perfectly understood according to the
superposition of the two circular eigenmodes, which show asymmetric resonance
characteristics reflecting the vortex polarization. The relative magnitudes in
the amplitude and phase between the CCW and CW eigenmodes determine the
elongation and orientation of the orbital trajectories of the vortex core
motions, respectively, which trajectories vary with the polarization and
chirality of the given vortex as well as the field frequency across the
resonance frequency.Comment: 30 pages, 7 figure
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