20,815 research outputs found
A k-space method for nonlinear wave propagation
A k-space method for nonlinear wave propagation in absorptive media is
presented. The Westervelt equation is first transferred into k-space via
Fourier transformation, and is solved by a modified wave-vector time-domain
scheme [Mast et al., IEEE Tran. Ultrason. Ferroelectr. Freq. Control 48,
341-354 (2001)]. The present approach is not limited to forward propagation or
parabolic approximation. One- and two-dimensional problems are investigated to
verify the method by comparing results to the finite element method. It is
found that, in order to obtain accurate results in homogeneous media, the grid
size can be as little as two points per wavelength, and for a moderately
nonlinear problem, the Courant-Friedrichs-Lewy number can be as small as 0.4.
As a result, the k-space method for nonlinear wave propagation is shown here to
be computationally more efficient than the conventional finite element method
or finite-difference time-domain method for the conditions studied here.
However, although the present method is highly accurate for weakly
inhomogeneous media, it is found to be less accurate for strongly inhomogeneous
media. A possible remedy to this limitation is discussed
Crosstalk-free Conjugate Networks for Optical Multicast Switching
High-speed photonic switching networks can switch optical signals at the rate
of several terabits per second. However, they suffer from an intrinsic
crosstalk problem when two optical signals cross at the same switch element. To
avoid crosstalk, active connections must be node-disjoint in the switching
network. In this paper, we propose a sequence of decomposition and merge
operations, called conjugate transformation, performed on each switch element
to tackle this problem. The network resulting from this transformation is
called conjugate network. By using the numbering-schemes of networks, we prove
that if the route assignments in the original network are link-disjoint, their
corresponding ones in the conjugate network would be node-disjoint. Thus,
traditional nonblocking switching networks can be transformed into
crosstalk-free optical switches in a routine manner. Furthermore, we show that
crosstalk-free multicast switches can also be obtained from existing
nonblocking multicast switches via the same conjugate transformation.Comment: 10 page
Reply to [arXiv:1105.5147] "Are GRB 090423 and Similar Bursts due to Superconducting Cosmic Strings?"
The GRB outflow driven by superconducting cosmic strings is likely to be an
arc rather than a usually-considered spherical cap. In such a case, the
afterglows of the cosmic string GRBs could be basically consistent with the
observation of the high-redshift GRBs.Comment: 2 pages, 1 figure, to appear in Phys. Rev. Let
Phase transition between non-extremal and extremal Reissner-Nordstr\"om black holes
We discuss the phase transition between non-extremal and extremal
Reissner-Nordstr\"om black holes. This transition is considered as the
limit of the transition between the non-extremal and near-extremal
black holes.
We show that an evaporating process from non-extremal black hole to extremal
one is possible to occur, but its reverse process is not possible to occur
because of the presence of the maximum temperature.
Furthermore, it is shown that the Hawking-Page phase transition between small
and large black holes unlikely occurs in the AdS Reissner-Nordstr\"om black
holes.Comment: 12 pages, 6 figures, version to appear in MPL
Can Universe Experience Many Cycles with Different Vacua ?
Recently, the notion that the number of vacua is enormous has received
increased attentions, which may be regarded as a possible anthropical
explanation to incredible small cosmological constant. Further, a dynamical
mechanisms to implement this possibility is required. We show in an operable
model of cyclic universe that the universe can experience many cycles with
different vacua, which is a generic behavior independent of the details of the
model. This might provide a distinct dynamical approach to an anthropically
favorable vacuum.Comment: RevTex, 10 pages, 4 eps figures, accepted by PRD(R), new title and
changes in the text to match publicatio
Nonlinear feedback control of multiple robot arms
Multiple coordinated robot arms are modeled by considering the arms: (1) as closed kinematic chains, and (2) as a force constrained mechanical system working on the same object simultaneously. In both formulations a new dynamic control method is discussed. It is based on a feedback linearization and simultaneous output decoupling technique. Applying a nonlinear feedback and a nonlinear coordinate transformation, the complicated model of the multiple robot arms in either formulation is converted into a linear and output decoupled system. The linear system control theory and optimal control theory are used to design robust controllers in the task space. The first formulation has the advantage of automatically handling the coordination and load distribution among the robot arms. In the second formulation, by choosing a general output equation, researchers can superimpose the position and velocity error feedback with the force-torque error feedback in the task space simultaneously
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