11,241 research outputs found
Real and Virtual Photon Structure
The structure of real and virtual photons has been studied in electron-proton
scattering processes producing di-jet events at HERA by the H1 and ZEUS
collaborations. Data have been compared to next-to-leading order QCD
calculations and to the predictions of Monte Carlo generators based on the
DGLAP and CCFM formalisms for describing the parton dynamicsComment: Proceedings 'QCD and High Energy Hadronic Interactions', Recontres de
Morion
Wave splitting of Maxwell's equations with anisotropic heterogeneous constitutive relations
The equations for the electromagnetic field in an anisotropic media are
written in a form containing only the transverse field components relative to a
half plane boundary. The operator corresponding to this formulation is the
electromagnetic system's matrix. A constructive proof of the existence of
directional wave-field decomposition with respect to the normal of the boundary
is presented.
In the process of defining the wave-field decomposition (wave-splitting), the
resolvent set of the time-Laplace representation of the system's matrix is
analyzed. This set is shown to contain a strip around the imaginary axis. We
construct a splitting matrix as a Dunford-Taylor type integral over the
resolvent of the unbounded operator defined by the electromagnetic system's
matrix. The splitting matrix commutes with the system's matrix and the
decomposition is obtained via a generalized eigenvalue-eigenvector procedure.
The decomposition is expressed in terms of components of the splitting matrix.
The constructive solution to the question on the existence of a decomposition
also generates an impedance mapping solution to an algebraic Riccati operator
equation. This solution is the electromagnetic generalization in an anisotropic
media of a Dirichlet-to-Neumann map.Comment: 45 pages, 2 figure
Stored energies in electric and magnetic current densities for small antennas
Electric and magnetic currents are essential to describe electromagnetic
stored energy, as well as the associated quantities of antenna Q and the
partial directivity to antenna Q-ratio, D/Q, for general structures. The upper
bound of previous D/Q-results for antennas modeled by electric currents is
accurate enough to be predictive, this motivates us here to extend the analysis
to include magnetic currents. In the present paper we investigate antenna Q
bounds and D/Q-bounds for the combination of electric- and magnetic-currents,
in the limit of electrically small antennas. This investigation is both
analytical and numerical, and we illustrate how the bounds depend on the shape
of the antenna. We show that the antenna Q can be associated with the largest
eigenvalue of certain combinations of the electric and magnetic polarizability
tensors. The results are a fully compatible extension of the electric only
currents, which come as a special case. The here proposed method for antenna Q
provides the minimum Q-value, and it also yields families of minimizers for
optimal electric and magnetic currents that can lend insight into the antenna
design.Comment: 27 pages 7 figure
Stored Electromagnetic Energy and Antenna Q
Decomposition of the electromagnetic energy into its stored and radiated
parts is instrumental in the evaluation of antenna Q and the corresponding
fundamental limitations on antennas. This decomposition is not unique and there
are several proposals in the literature. Here, it is shown that stored energy
defined from the difference between the energy density and the far field energy
equals the new energy expressions proposed by Vandenbosch for many cases. This
also explains the observed cases with negative stored energy and suggests a
possible remedy to them. The results are compared with the classical explicit
expressions for spherical regions where the results only differ by ka that is
interpreted as the far-field energy in the interior of the sphere. Numerical
results of the Q-factors for dipole, loop, and inverted L-antennas are also
compared with estimates from circuit models and differentiation of the
impedance. The results indicate that the stored energy in the field agrees with
the stored energy in the Brune synthesized circuit models whereas the
differentiated impedance gives a lower value for some cases. The corresponding
results for the bandwidth suggest that the inverse proportionality between
bandwidth and Q depends on the relative bandwidth or equivalent the threshold
of the reflection coefficient. The Q from the differentiated impedance and
stored energy are most useful for relative narrow and wide bandwidths,
respectively
Recommended from our members
The inverse conjunction fallacy
If people believe that some property is true of all members of a class such as sofas, then they should also believe that the same property is true of all members of a conjunctively defined subset of that class such as uncomfortable handmade sofas. A series of experiments demonstrated a failure to observe this constraint, leading to what is termed the inverse conjunction fallacy. Not only did people often express a belief in the more general statement but not in the more specific, but also when they accepted both beliefs, they were inclined to give greater confidence to the more general. It is argued that this effect underlies a number of other demonstrations of fallacious reasoning, particularly in category-based induction. Alternative accounts of the phenomenon are evaluated, and it is concluded that the effect is best interpreted in terms of intensional reasoning [Tversky, A., & Kahneman, D. (1983). Extensional versus intuitive reasoning: the conjunction fallacy in probability judgment. Psychological Review, 90, 293–315.]
Stored energies for electric and magnetic current densities
Electric and magnetic current densities are an essential part of
electromagnetic theory. The goal of the present paper is to define and
investigate stored energies that are valid for structures that can support both
electric and magnetic current densities. Stored energies normalized with the
dissipated power give us the Q factor, or antenna Q, for the structure. Lower
bounds of the Q factor provide information about the available bandwidth for
passive antennas that can be realized in the structure. The definition that we
propose is valid beyond the leading order small antenna limit. Our starting
point is the energy density with subtracted far-field form which we obtain an
explicit and numerically attractive current density representation. This
representation gives us the insight to propose a coordinate independent stored
energy. Furthermore, we find here that lower bounds on antenna Q for structures
with e.g. electric dipole radiation can be formulated as convex optimization
problems. We determine lower bounds on both open and closed surfaces that
support electric and magnetic current densities.
The here derived representation of stored energies has in its electrical
small limit an associated Q factor that agrees with known small antenna bounds.
These stored energies have similarities to earlier efforts to define stored
energies. However, one of the advantages with this method is the above
mentioned formulation as convex optimization problems, which makes it easy to
predict lower bounds for antennas of arbitrary shapes. The present formulation
also gives us insight into the components that contribute to Chu's lower bound
for spherical shapes. We utilize scalar and vector potentials to obtain a
compact direct derivation of these stored energies. Examples and comparisons
end the paper.Comment: Minor updates to figures and tex
Effect of exchange interaction on superparamagnetic relaxation
We use Langer's approach to calculate the reaction rate of a system of two
(classical) spins interacting via the exchange coupling in a magnetic field
, with uniaxial anisotropy of constant .
We find a particular value of the exchange coupling, that is , where , which separates two regimes
corresponding to a two-stage and one-stage switching.
For the N\'eel-Brown result for the one-spin problem is recovered.Comment: 7 pages, 2 eps figures, fig.1 of better quality can be provided upon
reques
- …