Method of magnetic field measurement including convolution steps in an interpolation operation to determine magnetic flux between points at which magnetic flux has been measured, and apparatus for carrying out the same
AssigneeDaikin Industries, Ltd.
InventorTomoaki Ueda
Life of this patent
Estimating the term…
Abstract
A plurality of magnetic flux measurement data corresponding to two dimensional grids are obtained, then the magnetic flux measurement data are convoluted to sampling unit functions in x-direction and y-direction to obtain an interpolation function. Magnetic field is illustrated by isomagnetic contour lines based on magnetic flux measurement data and interpolation values which are obtained based on the interpolation function. One of the sampling unit functions is replaced with a differential function thereof to obtain partial differential values of arbitrary points.
Claims11
A method of measuring a magnetic field by measuring magnetic flux at points within the field, said method comprising the steps of:
- measuring magnetic flux at plural points which correspond to two dimensional grids using plural SQUID flux meters to provide data signals representative of measured magnetic flux at the plural points, and
- interpolating to provide flux interpolation data representative of magnetic flux between the plural points, said step of interpolating including convoluting sampling unit function data relating to both directions of the two dimensional grids with the data signals representative of measured magnetic flux.
A magnetic field measurement apparatus comprising;
- plural SQUID flux meters for measuring magnetic flux at plural points which correspond to two dimensional grids and providing data signals representative of measured magnetic flux at said points,
- interpolation function obtaining means for obtaining interpolation function data representative of an interpolation function by convoluting sampling unit function data relating to both directions of said two dimensional grids with the data signals representative of measured magnetic flux, and
- magnetic flux calculating means for calculating magnetic flux data representative of magnetic flux at an arbitrary point between the measured points based on the interpolation function data.
A magnetic field display method comprising the steps of;
- measuring magnetic flux at plural points which correspond to two dimensional grids using plural SQUID flux meters to provide data signals representative of measured magnetic flux at said plural points,
- interpolating to provide flux interpolation data representative of magnetic flux between the plural points, said step of interpolating including convoluting sampling unit function data relating to both directions of the two dimensional grids with the data signals representative of measured magnetic flux, and
- displaying a magnetic field based on the data signals representative of measured magnetic flux and the flux interpolation data.
A magnetic field display apparatus comprising;
- plural SQUID flux meters for measuring magnetic flux at plural points which correspond to two dimensional grids and providing data signals representative of measured magnetic flux at the points,
- interpolation function obtaining means for obtaining interpolation function data representative of an interpolation function by convoluting sampling unit function data relating to both directions of said two dimensional grids with the data signals representative of measured magnetic flux,
- magnetic flux calculating means for calculating magnetic flux data representative of magnetic flux at an arbitrary point between the measured points based on said interpolation function, and
- isomagnetic contour line generating means for generating isomagnetic contour lines based on the calculated magnetic flux data, each isomagnetic contour line consisting of points which have the same magnetic flux as one another.
A method of measuring a magnetic field by measuring magnetic flux at points within the field, said method comprising the steps of;
- measuring magnetic flux at plural points which correspond to two dimensional grids using plural SQUID flux meters to provide data signals representative of measured magnetic flux at the plural points, and
- interpolating to provide flux interpolation data representative of magnetic flux between the plural points, said step of interpolating including convoluting a sampling unit function data relating to one direction of the two dimensional grids and function data obtained by differentiating sampling unit function data in the other direction of the two dimensional grids with the data signals representative of measured magnetic flux.
A magnetic field measurement apparatus comprising;
- plural SQUID flux meters for measuring magnetic flux at plural points which correspond to two dimensional grids and providing data signals representative of measured magnetic flux at the plural points,
- interpolation function obtaining means for obtaining interpolation function data representative of an interpolation function by convoluting sampling unit function data relating to one direction of said two dimensional grids and function data obtained by differentiating sampling unit function data in the other direction of said two dimensional grids with the data signals representative of the measured magnetic flux, and
- partial differential value calculating means for calculating partial differential value data representative of magnetic flux at an arbitrary point between the measured points based on said interpolation function data.
Dependencies are inferred from the claim text.