A physical system is simulated using a model including a plurality of elements in a mesh or grid. The elements are divided into partitions processed by different processing units. For some time steps, flux data is transmitted between partitions for updating the state of edge elements of the partitions. Periodically, transmission of flux data is suppressed and flux data is obtained by linear interpolation based on past flux data. Alternatively, flux data is obtained by processing state variables of an edge element and past flux data using a machine learning model, such as a DNN.

A physical system is simulated using a model including a plurality of elements in a mesh or grid. The elements are divided into partitions processed by different processing units. For some time steps, flux data is transmitted between partitions for updating the state of edge elements of the partitions. Periodically, transmission of flux data is suppressed and flux data is obtained by linear interpolation based on past flux data. Alternatively, flux data is obtained by processing state variables of an edge element and past flux data using a machine learning model, such as a DNN.

According to one aspect of the invention, there is provided a method of constructing a diagnostic image of a sample from MRI data acquired while subjecting the sample to an inhomogeneous polarizing magnetic field, the method comprising the steps of: i) deriving an estimate of the spatial map of the inhomogeneous polarizing magnetic field; ii) acquiring the MRI data; iii) processing the estimate of the spatial map with the acquired MRI data to obtain an estimate of the diagnostic image; iv) calculating an acquired data error in response to the estimates of the spatial map and the diagnostic image; v) updating the estimate of the spatial map in response to the calculated error; and repeating the steps iii) to v) to improve the estimate of the spatial map of the earlier iteration and the estimate of the diagnostic image, wherein the repetition is stopped when the calculated error of the latest iteration reaches within a tolerance range and wherein the estimate of the diagnostic image from the latest iteration becomes the diagnostic image of the sample.

A magnetic field measuring device includes: a first cell and a second cell in which alkali metal atoms are entrapped and which are disposed in this order in a sensing direction of a magnetic field; a first reflective mirror, a second reflective mirror, and an autocollimator as an optical axis detector. Beam light as second polarized light and beam light as fourth polarized light, which are detected by the autocollimator, have orientations of optical axes in the same direction.

A homogenization device for homogenization of a magnetic field with an non-magnetic carrier and compensation elements formed of a magnetic material, the carrier having a carrier wall and the carrier wall surrounding a carrier interior, in the homogenization device located in the magnetic field the magnetic field penetrating into the carrier interior through a first carrier region of the carrier wall and emerging from the carrier interior through a second carrier region of the carrier wall and each of the compensation elements which are located on the carrier contributing to the homogenization of the magnetic field at least in the carrier interior. In the homogenization device, handling during homogenization is improved in that there are recesses in the carrier wall and in each of the recesses at least one of the compensation elements can be directly inserted and removed.

A homogenization device for homogenization of a magnetic field with an non-magnetic carrier and compensation elements formed of a magnetic material, the carrier having a carrier wall and the carrier wall surrounding a carrier interior, in the homogenization device located in the magnetic field the magnetic field penetrating into the carrier interior through a first carrier region of the carrier wall and emerging from the carrier interior through a second carrier region of the carrier wall and each of the compensation elements which are located on the carrier contributing to the homogenization of the magnetic field at least in the carrier interior. In the homogenization device, handling during homogenization is improved in that there are recesses in the carrier wall and in each of the recesses at least one of the compensation elements can be directly inserted and removed.

A localization apparatus, the position of which in a localization space is determinable including a movement sensor system having at least one translation sensor and at least one rotation sensor for capturing movement variables that act on the localization apparatus and at least one magnetometer apparatus for capturing magnetic field data in the localization space. Rotationally invariant magnetic features are determinable by means of an internal or external data processing apparatus. A means for determining an absolute position of the localization apparatus in the localization space and the integrated data processing apparatus or a coupling to the external data processing apparatus for calculating a position while processing the measurement data of the movement sensor system using a magnetic field map that was stored in advance, having magnetic parameters of at least parts of the localization space and for processing the determined absolute position are included.

A magnetic field measuring apparatus includes a first cell and a second cell in which alkali metal atoms are respectively enclosed, a light guide that enters laser light into the first cell and the second cell, and a position adjustment mechanism, and a position of a second reference surface with respect to a first reference surface is adjusted and orientations of optical axes of a beam light relating to the first reference surface and a beam light relating to the second reference surface are the same direction.

A precision magnetometer for detecting magnetic fields parallel to a static field B.sub.0 in which the magnetometer itself is immersed; this magnetometer is operative in the frequency range of the field b.sub.1 ranging from 10 MHz to 1 GHz. Another object is a technique for using the presented magnetometer.

A magnetic resonance member 1 includes a diamond crystal including plural diamond nitrogen vacancy center, and a high-frequency magnetic field generator 2 applies magnetic field of microwave to the magnetic resonance member 1. The aforementioned plural diamond nitrogen vacancy centers include diamond nitrogen vacancy centers arranged in directions of predetermined plural axes among four axes that indicates four connection directions of carbon atoms in the diamond crystal; and the aforementioned magnetic resonance member 1 is arranged in a direction that provides a substantially largest sensitivity of the measurement target magnetic field in the diamond nitrogen vacancy centers arranged in the predetermined plural axes.