8,675 research outputs found
Primordial Gravity Waves and Weak Lensing
Inflation produces a primordial spectrum of gravity waves in addition to the
density perturbations which seed structure formation. We compute the signature
of these gravity waves in the large scale shear field. In particular, the shear
can be divided into a gradient mode (G or E) and a curl mode (C or B). The
former is produced by both density perturbations and gravity waves, while the
latter is produced only by gravity waves, so the observations of a non-zero
curl mode could be seen as evidence for inflation. We find that the expected
signal from inflation is small, peaking on the largest scales at
at and falling rapidly there after. Even for
an all-sky deep survey, this signal would be below noise at all multipoles.
Part of the reason for the smallness of the signal is a cancellation on large
scales of the standard line-of-sight effect and the effect of ``metric shear.''Comment: 4 pages, 1 figur
Drift-Free Indoor Navigation Using Simultaneous Localization and Mapping of the Ambient Heterogeneous Magnetic Field
In the absence of external reference position information (e.g. GNSS) SLAM
has proven to be an effective method for indoor navigation. The positioning
drift can be reduced with regular loop-closures and global relaxation as the
backend, thus achieving a good balance between exploration and exploitation.
Although vision-based systems like laser scanners are typically deployed for
SLAM, these sensors are heavy, energy inefficient, and expensive, making them
unattractive for wearables or smartphone applications. However, the concept of
SLAM can be extended to non-optical systems such as magnetometers. Instead of
matching features such as walls and furniture using some variation of the ICP
algorithm, the local magnetic field can be matched to provide loop-closure and
global trajectory updates in a Gaussian Process (GP) SLAM framework. With a
MEMS-based inertial measurement unit providing a continuous trajectory, and the
matching of locally distinct magnetic field maps, experimental results in this
paper show that a drift-free navigation solution in an indoor environment with
millimetre-level accuracy can be achieved. The GP-SLAM approach presented can
be formulated as a maximum a posteriori estimation problem and it can naturally
perform loop-detection, feature-to-feature distance minimization, global
trajectory optimization, and magnetic field map estimation simultaneously.
Spatially continuous features (i.e. smooth magnetic field signatures) are used
instead of discrete feature correspondences (e.g. point-to-point) as in
conventional vision-based SLAM. These position updates from the ambient
magnetic field also provide enough information for calibrating the
accelerometer and gyroscope bias in-use. The only restriction for this method
is the need for magnetic disturbances (which is typically not an issue
indoors); however, no assumptions are required for the general motion of the
sensor.Comment: ISPRS Workshop Indoor 3D 201
Cosmic Electromagnetic Fields due to Perturbations in the Gravitational Field
We use non-linear gauge-invariant perturbation theory to study the
interaction of an inflation produced seed magnetic field with density and
gravitational wave perturbations in an almost
Friedmann-Lema\^itre-Robertson-Walker (FLRW) spacetime. We compare the effects
of this coupling under the assumptions of poor conductivity, infinite
conductivity and the case where the electric field is sourced via the coupling
of velocity perturbations to the seed field in the ideal magnetohydrodynamic
(MHD) regime, thus generalizing, improving on and correcting previous results.
We solve our equations for long wavelength limits and numerically integrate the
resulting equations to generate power spectra for the electromagnetic field
variables, showing where the modes cross the horizon. We find that the rotation
of the electric field dominates the power spectrum on small scales, in
agreement with previous arguments.Comment: 16 pages, 3 figures, published in PR
Irrotational Binary Neutron Stars in Quasiequilibrium in General Relativity
Neutron stars in binary orbit emit gravitational waves and spiral slowly
together. During this inspiral, they are expected to have very little
vorticity. It is in fact a good approximation to treat the system as having
zero vorticity, i.e., as irrotational. Because the orbital period is much
shorter than the radiation reaction time scale, it is also an excellent
approximation to treat the system as evolving through a sequence of equilibrium
states, in each of which the gravitational radiation is neglected. In Newtonian
gravity, one can simplify the hydrodynamic equations considerably for an
equilibrium irrotational binary by introducing a velocity potential. The
equations reduce to a Poisson-like equation for the potential, and a
Bernoulli-type integral for the density. We show that a similar simplification
can be carried out in general relativity. The resulting equations are much
easier to solve than other formulations of the problem.Comment: 14 pages, AASTeX, accepted in ApJ. Simplified final form of equation
(eq. 52). Added Shibata re
Introduction to Microwave Background Polarization
Microwave background polarization, though presently undetected, is a
fundamental prediction of any viable cosmological model. These lectures review
the theoretical description of polarization, its physical interpretation, and
potentially interesting polarization signals.Comment: Lectures given at the International School of Space Sciences,
L'Aquila, Italy, September 2-12, 1998. 18 pages with 2 figures; Elsevier tex
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Real-World Repetition Estimation by Div, Grad and Curl
We consider the problem of estimating repetition in video, such as performing
push-ups, cutting a melon or playing violin. Existing work shows good results
under the assumption of static and stationary periodicity. As realistic video
is rarely perfectly static and stationary, the often preferred Fourier-based
measurements is inapt. Instead, we adopt the wavelet transform to better handle
non-static and non-stationary video dynamics. From the flow field and its
differentials, we derive three fundamental motion types and three motion
continuities of intrinsic periodicity in 3D. On top of this, the 2D perception
of 3D periodicity considers two extreme viewpoints. What follows are 18
fundamental cases of recurrent perception in 2D. In practice, to deal with the
variety of repetitive appearance, our theory implies measuring time-varying
flow and its differentials (gradient, divergence and curl) over segmented
foreground motion. For experiments, we introduce the new QUVA Repetition
dataset, reflecting reality by including non-static and non-stationary videos.
On the task of counting repetitions in video, we obtain favorable results
compared to a deep learning alternative
Spin textures in slowly rotating Bose-Einstein Condensates
Slowly rotating spin-1 Bose-Einstein condensates are studied through a
variational approach based upon lowest Landau level calculus. The author finds
that in a gas with ferromagnetic interactions, such as Rb, angular
momentum is predominantly carried by clusters of two different types of
skyrmion textures in the spin-vector order parameter. Conversely, in a gas with
antiferromagnetic interactions, such as Na, angular momentum is carried
by -disclinations in the nematic order parameter which arises from spin
fluctuations. For experimentally relevant parameters, the cores of these
-disclinations are ferromagnetic, and can be imaged with polarized light.Comment: 14 pages, 12 low resolution bitmapped figures, RevTeX4. High
resolution figures available from author. Suplementary movies available from
autho
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