25,074 research outputs found
The Green-function transform and wave propagation
Fourier methods well known in signal processing are applied to
three-dimensional wave propagation problems. The Fourier transform of the Green
function, when written explicitly in terms of a real-valued spatial frequency,
consists of homogeneous and inhomogeneous components. Both parts are necessary
to result in a pure out-going wave that satisfies causality. The homogeneous
component consists only of propagating waves, but the inhomogeneous component
contains both evanescent and propagating terms. Thus we make a distinction
between inhomogenous waves and evanescent waves. The evanescent component is
completely contained in the region of the inhomogeneous component outside the
k-space sphere. Further, propagating waves in the Weyl expansion contain both
homogeneous and inhomogeneous components. The connection between the Whittaker
and Weyl expansions is discussed. A list of relevant spherically symmetric
Fourier transforms is given
Entanglement dynamics of two-qubit system in different types of noisy channels
In this paper, we study entanglement dynamics of a two-qubit extended
Werner-like state locally interacting with independent noisy channels, i.e.,
amplitude damping, phase damping and depolarizing channels. We show that the
purity of initial entangled state has direct impacts on the entanglement
robustness in each noisy channel. That is, if the initial entangled state is
prepared in mixed instead of pure form, the state may exhibit entanglement
sudden death (ESD) and/or be decreased for the critical probability at which
the entanglement disappear.Comment: 11 pages, 6 figure
Application of the morphological alpha shape method to the extraction of topographical features from engineering surfaces
In contrast to the mean-line based filters, morphological filters are function oriented and more suitable for the functional prediction of component performance. This paper presents a novel morphological method based on the alpha shape for the extraction of topographical features from engineering surfaces. Compared to the traditional implementation of morphological filters, the alpha shape method is more efficient in performance for large structuring element. The resulting envelope follows the form of the surface all over such that the distortions caused the end effects are avoided. A series of measured surfaces from the automotive cylinder liner and the bioengineering femoral heads are analyzed using the morphological alpha shape method. The topographical features are successfully extracted, enabling further analysis to the components
A Derivation of Moment Evolution Equations for Linear Open Quantum Systems
Given a linear open quantum system which is described by a Lindblad master
equation, we detail the calculation of the moment evolution equations from this
master equation. We stress that the moment evolution equations are well-known,
but their explicit derivation from the master equation cannot be found in the
literature to the best of our knowledge, and so we provide this derivation for
the interested reader
Magnon Planar Hall Effect and Anisotropic Magnetoresistance in a Magnetic Insulator
Electrical resistivities can be different for charge currents travelling
parallel or perpendicular to the magnetization in magnetically ordered
conductors or semiconductors, resulting in the well-known planar Hall effect
and anisotropic magnetoresistance. Here, we study the analogous anisotropic
magnetotransport behavior for magnons in a magnetic insulator
YFeO. Electrical and thermal magnon injection, and
electrical detection methods are used at room temperature with transverse and
longitudinal geometries to measure the magnon planar Hall effect and
anisotropic magnetoresistance, respectively. We observe that the relative
difference between magnon current conductivities parallel and perpendicular to
the magnetization, with respect to the average magnon conductivity, i.e.
, is approximately 5% with the majority of the measured devices showing
.Comment: 18 pages, 16 figure
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