We give a procedure for reconstructing a magnetic field and electric potential from boundary measurements given by the Dirichlet to Neumann map for the magnetic Schrödinger operator in Rn, n ≥ 3. The magnetic potential is assumed to be continuous with L∞ divergence and zero boundary values. The method is based on semiclassical pseudodifferential calculus and the construction of complex geometri...

Field inhomogeneities in Magnetic Resonance Imaging (MRI) can cause blur or image distortion as they produce off-resonance frequency at each voxel. These effects can be corrected if an accurate field map is available. Field maps can be estimated starting from the phase of multiple complex MRI data sets. In this paper we present a technique based on statistical estimation in order to reconstruct...

We present a method to extract the Lie map from the realistic magnetic field data of arbitrary magnet. The multi-particle tracking results are fitted into Taylor maps, which can be factorized into a Lie map by using DragtFinn's method [1]. This method is validated by comparing against the COSY-infinity code [2] for a soft-edge quadrupole model. Examples of extracting the symplectic maps for the...

In the development of magnetic fusion reactors which will be the source for future low cost power physicists must be able to analyze the magnetic fields that confine the burning plasma. The corresponding magnetic fieldlines have a periodic or quasi-periodic behavior. In this paper we describe a simple and efficient geometric technique that allows for effective visualization and topological anal...

Young loggerhead sea turtles (Caretta caretta) from eastern Florida, U.S.A., undertake a transoceanic migration in which they gradually circle the North Atlantic Ocean before returning to the North American coast. Hatchlings in the open sea are guided at least partly by a 'magnetic map' in which regional magnetic fields function as navigational markers and elicit changes in swimming direction a...

We prove global, scale invariant Strichartz estimates for the linear magnetic Schrödinger equation with small time dependent magnetic field. This is done by constructing an appropriate parametrix. As an application, we show a global regularity type result for Schrödinger maps in dimensions n ≥ 6.

We wanted to make a satellite altitude magnetic anomaly map of the large in Central African Republic, Bangui anomaly, with data from Swarm satellites. In first part our study, we summarize earlier investigations and their interpretation. second discuss processing applied produce map. used IGRF

Homing pigeons appear to use the earth's magnetic field as a compass and perhaps as part of their position-finding system or 'map'. The sensory system they use to detect magnetic fields is unknown, but two current possibilities are some mode of response by the pineal organ or by the visual system, or it may be based on the magnetite crystals found in their heads. Three series of experiments to ...

Recent advances have made it possible to obtain two-dimensional line-of-sight magnetic field maps of the solar corona from spectropolarimetric observations of the Fe XIII 1075 nm forbidden coronal emission line. Together with the linear polarization measurements that map the azimuthal direction of the coronal magnetic field projected in the plane of the sky containing Sun center, these coronal ...

In the present work, we develop a continuous model based on spline functions, in order to determine the T2 Map in Magnetic Resonance Imaging. The T2 parameter corresponds to the time decay parameter of spin relaxation, which cannot be obtained directly from one image, since it has to be calculated by fitting an exponential decaying functions from series of images. The calculation of the T2 map ...