Systems and methods of measuring and correcting effects of concomitant fields in a magnetic resonance system

1. A method for measuring concomitant fields in a magnetic resonance (MR) system, comprising:

applying a measurement pulse sequence in a plurality of acquisitions with a subject positioned in an MR system, applying the measurement pulse sequence further comprises:

applying a first bipolar gradient pulse in a first acquisition;

applying a second bipolar gradient pulse in reverse polarities from the first bipolar gradient pulse in a second acquisition; and

applying the measurement pulse sequence without a bipolar gradient pulse in a third acquisition;

acquiring MR signals emitted from the subject;

generating phase images based on the MR signals;

generating volumetric vector field maps based on the phase images, wherein the volumetric vector field maps include concomitant field at each spatial location in a three-dimensional (3D) volume, the concomitant field represented as a vector; and

outputting the volumetric vector field maps.

2. The method of claim 1 , wherein:

generating phase images further comprises:

generating a first phase image corresponding to the first acquisition based on the MR signals acquired during the first acquisition;

generating a second phase image corresponding to the second acquisition based on the MR signals acquired during the second acquisition; and

generating a third phase image corresponding to the third acquisition based on the MR signals acquired during the third acquisition; and

generating volumetric vector field maps further comprises:

isolating the concomitant fields from other perturbation fields of the MR system by combining the first phase image, the second phase image, and the third phase image.

3. The method of claim 2 , wherein isolating the concomitant fields further comprises: adding the second phase image to the first phase image; and

subtracting the third phase image from a half of a sum of the first phase image and the second phase image to derive a combination phase image,

wherein the concomitant fields are isolated from other perturbation fields in the combination phase image.

4. A method for measuring concomitant fields in a magnetic resonance (MR) system, comprising:

applying a measurement pulse sequence in a plurality of acquisitions with a subject positioned in an MR system, wherein applying a measurement pulse sequence further comprises varying the measurement pulse sequence in the plurality of acquisitions;

acquiring MR signals emitted from the subject;

generating phase images based on the MR signals;

isolating concomitant fields from other perturbation fields of the MR system based on the phase images;

generating volumetric vector field maps based on the phase images, wherein the volumetric vector field maps include concomitant field at each spatial location in a three-dimensional (3D) volume, and the concomitant field is represented as a vector; and

outputting the volumetric vector field maps.

5. The method of claim 4 , wherein:

generating phase images further comprises:

generating the phase images for each of the plurality of acquisitions; and

isolating concomitant fields further comprises isolating the concomitant fields by combining the phase images of the plurality of acquisitions.

6. The method of claim 4 , wherein applying a measurement pulse sequence further comprises:

measuring transverse concomitant fields by:

applying the measurement pulse sequence along a coronal midplane; and

applying the measurement pulse sequence along a sagittal midplane.

7. The method of claim 6 , wherein generating volumetric vector field maps further comprises:

generating x components of the volumetric vector field maps and y components of the volumetric vector field maps based on a first phase image corresponding to the coronal midplane and a second phase image corresponding to the sagittal midplane.

8. The method of claim 7 , wherein generating x components of the volumetric vector field maps and y components of the volumetric vector field maps further comprises:

generating an x component at a spatial location by applying a first function of a radial distance and an azimuthal angle of the spatial location to the first phase image and the second phase image; and

generating a y component at the spatial location by applying a second function of the radial distance and the azimuthal angle to the first phase image and the second phase image.

9. The method of claim 4 , wherein generating volumetric vector field maps further comprises:

normalizing the volumetric vector field maps with a current carried by a gradient coil in applying the measurement pulse sequence.

10. The method of claim 4 , wherein the method further comprises:

generating correction field maps by multiplying the volumetric vector field maps with a current of an imaging pulse sequence, wherein the current is represented as a function of time, and the correction field maps are spatiotemporal functions.

11. The method of claim 4 , wherein applying a measurement pulse sequence further comprises:

applying the measurement pulse sequence in a plurality of acquisitions by:

applying a first bipolar gradient pulse in a first acquisition;

applying a second bipolar gradient pulse in reverse polarities from the first bipolar gradient pulse in a second acquisition; and

applying the measurement pulse sequence without a bipolar gradient pulse in a third acquisition.

12. The method of claim 11 , wherein:

generating phase images further comprises:

generating a first phase image corresponding to the first acquisition based on the MR signals acquired during the first acquisition;

generating a second phase image corresponding to the second acquisition based on the MR signals acquired during the second acquisition; and

generating a third phase image corresponding to the third acquisition based on the MR signals acquired during the third acquisition; and

isolating concomitant fields further comprises:

isolating the concomitant fields by combining the first phase image, the second phase image, and the third phase image.

13. The method of claim 12 , wherein isolating concomitant fields further comprises:

adding the second phase image to the first phase image; and

subtracting the third phase image from a half of a sum of the first phase image and the second phase image to derive a combination phase image,

wherein the concomitant fields are isolated from other perturbation fields in the combination phase image.

14. The method of claim 4 , wherein the measurement pulse sequence includes measurement gradient pulses, and for a gradient coil of a gradient coil assembly of the MR system, the method further comprises:

applying the measurement gradient pulses on the gradient coil; and

generating volumetric vector field maps of the gradient coil.

15. The method of claim 14 , wherein the gradient coil is an x gradient coil or a y gradient coil, and applying a measurement pulse sequence further comprises:

applying the measurement pulse sequence along a first slice; and

applying the measurement pulse sequence along a second slice rotated 90° from the first slice along a z axis of the MR system.

16. The method of claim 14 , wherein the gradient coil is a z gradient coil, and applying a measurement pulse sequence further comprises:

applying the measurement pulse sequence along a coronal midplane or a sagittal midplane.

17. The method of claim 4 , wherein:

applying a measurement pulse sequence further comprises:

measuring a z field by:

applying a first unipolar gradient pulse in a first acquisition; and

applying a second unipolar gradient pulse having reverse polarities from the first unipolar gradient pulse in a second acquisition; and

generating volumetric vector field maps further comprises:

generating z components of the volumetric vector field maps based on the MR signals acquired during measuring the z field.

18. A method for measuring concomitant fields in a magnetic resonance (MR) system, comprising:

measuring transverse concomitant fields by applying a measurement pulse sequence in a plurality of acquisitions, applying a measurement pulse sequence further comprising varying the measurement pulse sequence in the plurality of acquisitions; and

measuring a z field by applying the measurement pulse sequence including a z field measurement pulse sequence.

19. The method of claim 18 , wherein the measurement pulse sequence includes measurement gradient pulses, and measuring transverse concomitant fields further comprises:

measuring the transverse concomitant fields of a transverse gradient coil of a gradient coil assembly of the MR system by:

applying the measurement gradient pulses on the transverse gradient coil along a first slice; and

applying the measurement gradient pulses on the transverse gradient coil along a second slice rotated 90° from the first slice along a z axis of the MR system.

20. The method of claim 18 , wherein the measurement pulse sequence includes measurement gradient pulses, and measuring transverse concomitant fields further comprises:

measuring concomitant fields of a z gradient coil of a gradient coil assembly of the MR system by:

applying the measurement gradient pulses on the z gradient coil along a slice.