14,043 research outputs found
A discrete methodology for controlling the sign of curvature and torsion for NURBS
This paper develops a discrete methodology for approximating the so-called convex domain of a NURBS curve, namely the domain in the ambient space, where a user-specified control point is free to move so that the curvature and torsion retains its sign along the NURBS parametric domain of definition. The methodology provides a monotonic sequence of convex polyhedra, converging from the interior to the convex domain. If the latter is non-empty, a simple algorithm is proposed, that yields a sequence of polytopes converging uniformly to the restriction of the convex domain to any user-specified bounding box. The algorithm is illustrated for a pair of planar and a spatial Bézier configuration
Optical anisotropy induced by torsion stresses in LiNbO3 crystals: appearance of an optical vortex
We report the results of studies of torsion effect on the optical
birefringence in LiNbO3 crystals. We have found that twisting of those crystals
causes a birefringence distribution revealing non-trivial peculiarities. In
particular, it has a special point at the center of cross section perpendicular
to the torsion axis where zero birefringence value occurs. It has also been
ascertained that the surface of the spatial birefringence distribution has a
conical shape, with the cone axis coinciding with the torsion axis. We have
revealed that an optical vortex, with the topological charge equal to unity,
appears under the torsion of LiNbO3 crystals. It has been shown that, contrary
to the q-plate, both the efficiency of spin-orbital coupling and the orbital
momentum of the emergent light can be operated by the torque moment.Comment: 28 pages, 8 figure
On the Mechanism of Time--Delayed Feedback Control
The Pyragas method for controlling chaos is investigated in detail from the
experimental as well as theoretical point of view. We show by an analytical
stability analysis that the revolution around an unstable periodic orbit
governs the success of the control scheme. Our predictions concerning the
transient behaviour of the control signal are confirmed by numerical
simulations and an electronic circuit experiment.Comment: 4 pages, REVTeX, 4 eps-figures included Phys. Rev. Lett., in press
also available at
http://athene.fkp.physik.th-darmstadt.de/public/wolfram.htm
Dirac fields in f(R)-gravity with torsion
We study f(R)-gravity with torsion in presence of Dirac massive fields. Using
the Bianchi identities, we formulate the conservation laws of the theory and we
check the consistency with the matter field equations. Further, we decompose
the field equations in torsionless and torsional terms: we show that the
non-linearity of the gravitational Lagrangian reduces to the presence of a
scalar field that depends on the spinor field; this additional scalar field
gives rise to an effective stress-energy tensor and plays the role of a scale
factor modifying the normalization of Dirac fields. Problems for fermions
regarding the positivity of energy and the particle-antiparticle duality are
discussed.Comment: 14 page
Magnetostrictive hysteresis of TbCo/CoFe multilayers and magnetic domains
Magnetic and magnetostrictive hysteresis loops of TbCo/CoFe multilayers under
field applied along the hard magnetization axis are studied using vectorial
magnetization measurements, optical deflectometry and magneto optical Kerr
microscopy. Even a very small angle misalignment between hard axis and magnetic
field direction is shown to drastically change the shape of magnetization and
magnetostrictive torsion hysteresis loops. Two kinds of magnetic domains are
revealed during the magnetization: big regions with opposite rotation of
spontaneous magnetization vector and spontaneous magnetic domains which appear
in a narrow field interval and provide an inversion of this rotation.
We show that the details of the hysteresis loops of our exchange-coupled
films can be described using the classical model of homogeneous magnetization
rotation of single uniaxial films and the configuration of observed domains.
The understanding of these features is crucial for applications (for MEMS or
microactuators) which benefit from the greatly enhanced sensitivity near the
point of magnetic saturation at the transverse applied field.Comment: 10 pages, 11 figure
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