6,609 research outputs found
The Gaussian formula and spherical aberration of the static and moving curved mirrors from Fermat's principle
The Gaussian formula and spherical aberrations of the static and relativistic
curved mirrors are analyzed using the optical path length (OPL) and Fermat's
principle. The geometrical figures generated by the rotation of conic sections
about their symmetry axes are considered for the shapes of the mirrors. By
comparing the results in static and relativistic cases, it is shown that the
focal lengths and the spherical aberration relations of the relativistic
mirrors obey the Lorentz contraction. Further analysis of the spherical
aberrations for both static and relativistic cases have resulted in the
information about the limits for the paraxial approximation, as well as for the
minimum speed of the systems to reduce the spherical aberrations.Comment: 15 pages, 7 figures, uses iopart. Major revisions on the physical
interpretations of the results. Accepted for publication in J. Op
Pair creation and plasma oscillations
We describe aspects of particle creation in strong fields using a quantum
kinetic equation with a relaxation-time approximation to the collision term.
The strong electric background field is determined by solving Maxwell's
equation in tandem with the Vlasov equation. Plasma oscillations appear as a
result of feedback between the background field and the field generated by the
particles produced. The plasma frequency depends on the strength of the initial
background field and the collision frequency, and is sensitive to the necessary
momentum-dependence of dressed-parton masses.Comment: 11 pages, revteX, epsfig.sty, 5 figures; Proceedings of 'Quark Matter
in Astro- and Particlephysics', a workshop at the University of Rostock,
Germany, November 27 - 29, 2000. Eds. D. Blaschke, G. Burau, S.M. Schmid
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Solid Freeform Fabrication of Functional Silicon Nitride Ceramics by Laminated Object Manufacturing 1
The processing of silicon nitride (Si3N4) structural ceramics by Laminated Object
Manufacturing (LOM) using ceramic tape preforms was investigated. The key processing stages
involved green shape formation (which used the LOM process), followed by the burnout of all
organics, and final densification by pressureless sintering. Two material systems were
considered. These were a) monolithic Si3N4 and b) a preceramic polymer infiltrated Si3N4. The
raw materials for the process were tape preforms of Si3N4, which were fabricated by standard
tape casting techniques.
Mechanical property data obtained for the LOM processed Si3N4 showed high strength and
fracture toughness values. The room temperature and high temperature (1260 o
C) flexural
strengths were in the range of 700-900 MPa and 360-400 MPa, respectively. The fracture
toughness averaged from 5.5-7.5 MPa.m1/2. These strength and fracture toughness values are
comparable to those reported for conventionally prepared Si3N4 ceramics. Thus, this research
demonstrated that the LOM technique is a viable method for preparing functional Si3N4 ceramics
with good physical and mechanical properties.Mechanical Engineerin
Vector coherent state theory of the generic representations of so(5) in an so(3) basis
For applications of group theory in quantum mechanics, one generally needs
explicit matrix representations of the spectrum generating algebras that arise
in bases that reduce the symmetry group of some Hamiltonian of interest. Here
we use vector coherent state techniques to develop an algorithm for
constructing the matrices for arbitrary finite-dimensional irreps of the SO(5)
Lie algebra in an SO(3) basis. The SO(3) subgroup of SO(5) is defined by
regarding SO(5) as linear transformations of the five-dimensional space of an
SO(3) irrep of angular momentum two. A need for such irreps arises in the
nuclear collective model of quadrupole vibrations and rotations. The algorithm
has been implemented in MAPLE, and some tables of results are presented.Comment: 20 pages, uses multirow.sty, submitted to J. Math. Phy
Rigorous formulation of oblique incidence scattering from dispersive media
We formulate a finite-difference time-domain (FDTD) approach to simulate
electromagnetic wave scattering from scatterers embedded in layered dielectric
or dispersive media. At the heart of our approach is a derivation of an
equivalent one-dimensional wave propagation equation for dispersive media
characterized by a linear sum of Debye-, Drude- and Lorentz-type poles. The
derivation is followed by a detailed discussion of the simulation setup and
numerical issues. The developed methodology is tested by comparison with
analytical reflection and transmission coefficients for scattering from a slab,
illustrating good convergence behavior. The case of scattering from a
sub-wavelength slit in a dispersive thin film is explored to demonstrate the
applicability of our formulation to time- and incident angle-dependent analysis
of surface waves generated by an obliquely incident plane wave.Comment: 35 pages, 8 figures, 4 table
Occupation probability of harmonic-oscillator quanta for microscopic cluster-model wave functions
We present a new and simple method of calculating the occupation probability
of the number of total harmonic-oscillator quanta for a microscopic
cluster-model wave function. Examples of applications are given to the recent
calculations including -model for He, -model for
Li, and -model for Be as well as the classical
calculations of -model for Li and -model
for C. The analysis is found to be useful for quantifying the amount of
excitations across the major shell as well as the degree of clustering. The
origin of the antistretching effect is discussed.Comment: 9 page
Solvent content of protein crystals from diffraction intensities by Independent Component Analysis
An analysis of the protein content of several crystal forms of proteins has
been performed. We apply a new numerical technique, the Independent Component
Analysis (ICA), to determine the volume fraction of the asymmetric unit
occupied by the protein. This technique requires only the crystallographic data
of structure factors as input.Comment: 9 pages, 2 figures, 1 tabl
Off Mass Shell Effects in Hadron Electric Dipole Moments
We note that off the quark mass shell the operators
and , both of which reduce to
in the non-relativistic limit, are no longer
identical. In this paper we explore the effects of this difference in the
contribution of these quark electric moments to hadronic electric moments.Comment: 21 pages, 1 figure, Revtex, uses psfi
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