86,041 research outputs found
On the Localized superluminal Solutions to the Maxwell Equations
In the first part of this article the various experimental sectors of physics
in which Superluminal motions seem to appear are briefly mentioned, after a
sketchy theoretical introduction. In particular, a panoramic view is presented
of the experiments with evanescent waves (and/or tunneling photons), and with
the "Localized superluminal Solutions" (SLS) to the wave equation, like the
so-called X-shaped waves. In the second part of this paper we present a series
of new SLSs to the Maxwell equations, suitable for arbitrary frequencies and
arbitrary bandwidths: some of them being endowed with finite total energy.
Among the others, we set forth an infinite family of generalizations of the
classic X-shaped wave; and show how to deal with the case of a dispersive
medium. Results of this kind may find application in other fields in which an
essential role is played by a wave-equation (like acoustics, seismology,
geophysics, gravitation, elementary particle physics, etc.). This e-print, in
large part a review, was prepared for the special issue on "Nontraditional
Forms of Light" of the IEEE JSTQE (2003); and a preliminary version of it
appeared as Report NSF-ITP-02-93 (KITP, UCSB; 2002). Further material can be
found in the recent e-prints arXiv:0708.1655v2 [physics.gen-ph] and
arXiv:0708.1209v1 [physics.gen-ph]. The case of the very interesting (and more
orthodox, in a sense) subluminal Localized Waves, solutions to the wave
equations, will be dealt with in a coming paper. [Keywords: Wave equation; Wave
propagation; Localized solutions to Maxwell equations; Superluminal waves;
Bessel beams; Limited-dispersion beams; Electromagnetic wavelets; X-shaped
waves; Finite-energy beams; Optics; Electromagnetism; Microwaves; Special
relativity]Comment: LaTeX paper of 37 pages, with 20 Figures in jpg [to be processed by
PDFlatex
FPGA-Based Bandwidth Selection for Kernel Density Estimation Using High Level Synthesis Approach
FPGA technology can offer significantly hi\-gher performance at much lower
power consumption than is available from CPUs and GPUs in many computational
problems. Unfortunately, programming for FPGA (using ha\-rdware description
languages, HDL) is a difficult and not-trivial task and is not intuitive for
C/C++/Java programmers. To bring the gap between programming effectiveness and
difficulty the High Level Synthesis (HLS) approach is promoting by main FPGA
vendors. Nowadays, time-intensive calculations are mainly performed on GPU/CPU
architectures, but can also be successfully performed using HLS approach. In
the paper we implement a bandwidth selection algorithm for kernel density
estimation (KDE) using HLS and show techniques which were used to optimize the
final FPGA implementation. We are also going to show that FPGA speedups,
comparing to highly optimized CPU and GPU implementations, are quite
substantial. Moreover, power consumption for FPGA devices is usually much less
than typical power consumption of the present CPUs and GPUs.Comment: 23 pages, 6 figures, extended version of initial pape
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