Magnetic field adjusting method
View Patent ↗In the present invention, a current plane which is virtually disposed and surrounds a measurement position is assumed from magnetic field measurement values, and a current distribution (or magnetic moment distribution) which mimics a measured magnetic field is reproduced with current potentials. This is used to perform shimming calculation by a truncated singular value decomposition method with discrete shim trays that are actually used and ideal virtual continuous shim trays to carry out shimming under conditions for shimming having a uniformity that is close to ideal shimming.
1. A magnetic field adjusting method of correcting a magnetic field distribution generated by a magnet apparatus by disposing a shimming magnetic body in a shim tray in a magnet system including the magnet apparatus forming a uniform magnetic field intensity distribution in a predetermined space and the shim tray correcting the magnetic field intensity distribution, the method comprising:
a first step of measuring a magnetic field intensity distribution on a predefined closed curved plane;
a second step of acquiring an error magnetic field distribution which is a difference between the magnetic field intensity distribution acquired in the first step and a target magnetic field intensity distribution;
a third step of computing an arrangement condition of a shimming magnetic body forming a correction magnetic field distribution for reducing the error magnetic field distribution under a quantitatively continuous numerical value condition;
a fourth step of computing an arrangement condition of a shimming magnetic body forming a correction magnetic field distribution for reducing the error magnetic field distribution under a spatially and quantitatively discrete numerical value condition;
a fifth step of adding a correction magnetic field formed by the shimming magnetic body disposed on the basis of the arrangement condition acquired in the third step to the measured magnetic field intensity distribution so as to obtain a magnetic field intensity distribution after first correction;
a sixth step of adding a correction magnetic field formed by the shimming magnetic body disposed on the basis of the arrangement condition acquired in the fourth step to the measured magnetic field intensity distribution so as to obtain a magnetic field intensity distribution after second correction; and
a seventh step of obtaining a difference between the magnetic field intensity distribution after the first correction and the magnetic field intensity distribution after the second correction, changing the predetermined space or the target magnetic field intensity distribution in a case where the difference is equal to or more than a predefined predetermined threshold value so that computation is performed again from the second step, and disposing the shimming magnetic body in the shim tray according to the arrangement condition acquired in the fourth step in a case where the difference is less than the predefined predetermined threshold value.
2. The magnetic field adjusting method according to claim 1 ,
wherein, in the second step,
a magnetic field intensity distribution on a magnetic field measurement plane included in the closed curved plane is estimated, and
a difference between the estimated magnetic field intensity distribution and the target magnetic field intensity distribution is acquired as the error magnetic field intensity distribution.
3. The magnetic field adjusting method according to claim 1 ,
wherein, in computation of the arrangement condition of the shimming magnetic body in the third step and the fourth step,
a magnetic body distribution or a magnetic moment distribution causing a necessary correction magnetic field of an error magnetic field distribution to be approximately generated is obtained by using a regularization method using truncated singular value decomposition in a linear equation system formed of the correction magnetic field, a volume of shimming magnetic bodies to be disposed and magnetic moment to be disposed, and a response matrix to the correction magnetic field from the volume of shimming magnetic bodies to be disposed or the magnetic moment to be disposed.
4. The magnetic field adjusting method according to claim 1 ,
wherein, in the third step and the fourth step,
an eigenmode indicating a one-to-one relationship between a magnetic body volume to be disposed or magnetic moment, and a magnetic field distribution formed by the magnetic body volume to be disposed or the magnetic moment is obtained, and eigenmodes of a predetermined number are selected from among the eigenmodes whose intensities are the maximum and are added together so that an arrangement distribution of shimming magnetic bodies is obtained.
5. The magnetic field adjusting method according to claim 4 ,
wherein the eigenmodes are calculated according to singular value decomposition, and are organized in the order of greater singular values acquired according to the singular value decomposition, and
wherein an eigenmode intensity is acquired through an inner product between an eigen magnetic field distribution and the error magnetic field distribution with respect to each of the plurality of eigenmodes.
6. The magnetic field adjusting method according to claim 1 ,
wherein, in the seventh step, the shimming magnetic body is disposed in the shim tray, and then the first step to the seventh step are performed.
7. The magnetic field adjusting method according to claim 4 ,
wherein the magnetic field intensity distribution after the first correction and the magnetic field intensity distribution after the second correction are obtained as a function of the number of eigenmodes which are added together, and
wherein the magnitude of a residual magnetic field which is a difference between the magnetic field intensity distribution after the first correction and the magnetic field intensity distribution after the second correction, and the target magnetic field is acquired as a peak-to-peak value of residual magnetic field or a volume root-mean-square residual magnetic field.
8. The magnetic field adjusting method according to claim 1 ,
wherein the magnetic field evaluation plane is disposed on a spherical plane, an elliptical plane, or a cylindrical plane, and
wherein the second step to the seventh step are performed on a magnetic field intensity distribution on the magnetic field evaluation plane.
9. The magnetic field adjusting method according to claim 1 ,
wherein, in the second step,
a virtual current potential plane which includes the closed curved plane in the first step and to which a current potential approximately reproducing the measured magnetic field intensity distribution is allocated is virtually disposed,
a magnetic field intensity distribution on the magnetic field evaluation plane is estimated from the virtual current potential plane, and
a difference between the target magnetic field intensity distribution and the estimated magnetic field intensity distribution on the magnetic field evaluation plane is acquired as the error magnetic field intensity distribution.
10. The magnetic field adjusting method according to claim 9 ,
wherein the magnetic field evaluation plane is changed, and an error magnetic field distribution on the changed magnetic field evaluation plane is adjusted.
11. The magnetic field adjusting method according to claim 9 ,
wherein a current potential on the virtual current potential plane is decomposed into a virtual current potential distribution in which a magnetic moment direction is directed in a magnetic field direction, and an eigenmode of a magnetic field distribution by using truncated singular value decomposition, so that an eigenmode intensity in each eigenmode is specified,
wherein approximate accuracy of a measured magnetic field is added from a first eigenmode in the order of singular values so as to be specified as a function of an upper limit eigenmode number, and
wherein an eigenmode upper limit and a current plane are selected so that a magnetic field evaluation error is less than a permissible value of a target residual magnetic field after shimming.
12. The magnetic field adjusting method according to claim 2 ,
wherein, the arrangement condition of the shimming magnetic body forming a correction magnetic field distribution in the fourth step includes
setting in advance the maximum value and the minimum value of a permissible magnetic body volume of a shim pocket in which a shimming magnetic body is to be disposed,
setting a magnetic body volume of a pocket exceeding the maximum value as a magnetic body volume of which the maximum value is to be disposed, and
setting a magnetic body volume of a pocket less than the minimum value as a magnetic body volume of which the minimum value is to be disposed, correcting a magnetic field at an magnetic field evaluation point through computation on the basis of a measured magnetic field by using a magnetic field based on the set magnetic body volume, repeatedly performing computation of a shimming magnetic body volume and correction of the maximum and minimum values of a magnetic body volume to be disposed with respect to the corrected magnetic field at the magnetic field evaluation point, and repeatedly performing computation in the step 4 in which a magnetic body volume to be disposed in the shim pocket is included in a permissible magnetic body volume.
13. The magnetic field adjusting method according to claim 12 , further comprising:
a step of adding a weight to the shim pocket in repetitive computation in the step 4 until a magnetic body volume included in a permissible magnetic body volume of the shim pocket is calculated.
14. The magnetic field adjusting method according to claim 1 , further comprising:
a step of discretizing a shimming magnetic body volume to be disposed on the basis of a unit iron volume set in advance as a quantitative arrangement condition in the third step, and presenting a corrected magnetic field distribution and homogeneity which are calculation results in the fifth step and the seventh step using the discretized magnetic body volume.
15. The magnetic field adjusting method according to claim 14 , further comprising:
a computation process of presenting a distribution of an error magnetic field due to the discretization of a shimming magnetic body volume in the third step, and an eigenmode intensity of the error magnetic field, and changing an upper limit eigenmode or a target magnetic field intensity in shimming computation so that the error magnetic field is reduced.
16. The magnetic field adjusting method according to claim 15 , further comprising:
a computation process of comparing results of shimming computation using a shim pocket based on discrete arrangement and shimming computation based on continuous arrangement with each other, and changing an upper limit eigenmode or a target magnetic field intensity in the shimming computation so that the error magnetic field is reduced.
17. The magnetic field adjusting method according to claim 2 ,
wherein, in computation of the arrangement condition of the shimming magnetic body in the third step and the fourth step,
a magnetic body distribution or a magnetic moment distribution causing a necessary correction magnetic field of an error magnetic field distribution to be approximately generated is obtained by using a regularization method using truncated singular value decomposition in a linear equation system formed of the correction magnetic field, a volume of shimming magnetic bodies to be disposed and magnetic moment to be disposed, and a response matrix to the correction magnetic field from the volume of shimming magnetic bodies to be disposed or the magnetic moment to be disposed.
18. The magnetic field adjusting method according to claim 2 ,
wherein, in the third step and the fourth step,
an eigenmode indicating a one-to-one relationship between a magnetic body volume to be disposed or magnetic moment, and a magnetic field distribution formed by the magnetic body volume to be disposed or the magnetic moment is obtained, and eigenmodes of a predetermined number are selected from among the eigenmodes whose intensities are the maximum and are added together so that an arrangement distribution of shimming magnetic bodies is obtained.
19. The magnetic field adjusting method according to claim 2 ,
wherein, in the seventh step, the shimming magnetic body is disposed in the shim tray, and then the first step to the seventh step are performed.
20. The magnetic field adjusting method according to claim 2 ,
wherein the magnetic field evaluation plane is disposed on a spherical plane, an elliptical plane, or a cylindrical plane, and
wherein the second step to the seventh step are performed on a magnetic field intensity distribution on the magnetic field evaluation plane.
21. The magnetic field adjusting method according to claim 2 ,
wherein, in the second step,
a virtual current potential plane which includes the closed curved plane in the first step and to which a current potential approximately reproducing the measured magnetic field intensity distribution is allocated is virtually disposed,
a magnetic field intensity distribution on the magnetic field evaluation plane is estimated from the virtual current potential plane, and
a difference between the target magnetic field intensity distribution and the estimated magnetic field intensity distribution on the magnetic field evaluation plane is acquired as the error magnetic field intensity distribution.
22. The magnetic field adjusting method according to claim 2 , further comprising:
a step of discretizing a shimming magnetic body volume to be disposed on the basis of a unit iron volume set in advance as a quantitative arrangement condition in the third step, and presenting a corrected magnetic field distribution and homogeneity which are calculation results in the fifth step and the seventh step using the discretized magnetic body volume.