12,997 research outputs found
Near-infrared reddening of extra-galactic GMCs in a face-on geometry
[Abridged] We describe the near-infrared reddening signature of giant
molecular clouds (GMCs) in external galaxies. In particular, we examine the
E(J-H) and E(H-K) color-excesses, and the effective extinction law observed in
discrete GMC regions. We also study the effect of the relative scale height of
the GMC distribution to the color-excesses, and to the observed mass function
of GMCs. We perform Monte Carlo radiative transfer simulations with 3D models
of stellar radiation and clumpy dust distributions, resembling a face-on
geometry. The scattered light is included in the models, and near-infrared
color maps are calculated from the simulated data. The effective near-infrared
reddening law, i.e. the ratio E(J-H)/E(H-K), has a value close to unity in GMC
regions. The ratio depends on the relative scale height of GMCs, xi, and for xi
values 0.1...0.75 we find the typical ratios of 0.6...1.1. The effective
extinction law turns out to be very flat in GMC regions. We find the ratios of
apparent extinctions of A(H)/A(K)=1.35...1.55 and A(J)/A(H)=1.15. The effect of
the scattered flux on the effective reddening law, as well as on the effective
extinction law, is significant. Regarding the GMC mass function, we find no
correlation between the input and observed slopes of the mass functions.
Rather, the observed slope reflects the parameter and the dynamical range
of the mass function. We estimate that only a fraction of 10...20 % of the
total mass of GMCs is recovered, if the observed color-excess values are
transformed to masses using the Galactic reddening law. In the case of
individual clouds the fraction can vary between ~0...50 %.Comment: 8 pages, 10 figures, accepted for publication in A&A. Added missing
histograms in Fig.
Magnification relations in gravitational lensing via multidimensional residue integrals
We investigate the so-called magnification relations of gravitational lensing
models. We show that multidimensional residue integrals provide a simple
explanation for the existence of these relations, and an effective method of
computation. We illustrate the method with several examples, thereby deriving
new magnification relations for galaxy lens models and microlensing (point mass
lensing).Comment: 16 pages, uses revtex4, submitted to Journal of Mathematical Physic
Fermions on Non-Trivial Topologies
An exact expression for the Green function of a purely fermionic system
moving on the manifold , where is a
-torus, is found. This expression involves the bosonic analog of corresponding to the irreducible representation for the n-th
class of homotopy and in the fermionic case for D=2 and 3, is a
measure of the statistics of the particles. For higher dimensions (),
there is no analogue interpretation however this could, presumably, indicate a
generation of mass as in quantum field theories at finite temperature.Comment: Some portions re-written, references added. To appear in PL
Extended Source Diffraction Effects Near Gravitational Lens Fold Caustics
Calculations are presented detailing the gravitational lens diffraction due
to the steep brightness gradient of the limb of a stellar source. The lensing
case studied is the fold caustic crossing. The limb diffraction signal greatly
exceeds that due to the disk as a whole and should be detectable for white
dwarf sources in our Galaxy and it's satellites with existing telescopes.
Detection of this diffraction signal would provide an additional mathematical
constraint, reducing the degeneracy among models of the lensing geometry. The
diffraction pattern provides pico-arcsecond resolution of the limb profile.Comment: 19 pages including 17 figures, Accepted for publication in ApJ, Minor
conceptual change from previous versio
Secure Identification of Free-Floating Planets
Among the methods proposed to detect extrasolar planets, microlensing is the
only technique that can detect free-floating planets. Free-floating planets are
detected through the channel of short-duration isolated lensing events.
However, if a seemingly isolated planetary event is detected, it is difficult
to firmly conclude that the event is caused by a free-floating planet because a
wide-separation planet can also produce an isolated event. There were several
methods proposed to break the degeneracy between the isolated planetary events
produced by the free-floating and wide-separation planets, but they are
incomplete. In this paper, we show that free-floating planets can be securely
identified by conducting astrometric follow-up observations of isolated events
to be detected in future photometric lensing surveys by using high-precision
interferometers to be operated contemporarily with the photometric surveys. The
method is based on the fact that astrometric lensing effect covers much longer
range of the lens-source separation than the photometric effect. We demonstrate
that several astrometric follow-up observations of isolated planetary events
associated with source stars brighter than by using the {\it Space
Interferometry Mission} with an exposure time of for
each observation will make it possible to measure the centroid shift induced by
primaries with projected separations up to . Therefore, the
proposed method is far more complete than previously proposed methods that are
flawed by the limited applicability only to planets with projected separations
or planets accompanied by bright primaries.Comment: 5 pages including 2 figure
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