Active shield type of elliptic cylinder-shaped gradient coil for magnetic resonance imaging

A magnetic resonance imaging (MRI) system comprising a gradient coil for applying pulsed magnetic gradients to an object placed in a static magnetic field in order to perform magnetic resonance imaging of the object, the gradient coil comprising:

• a first coil formed into an elliptic cylinder shape;
• and
• a second coil, which is disposed coaxially to the first coil, having a coil wire positioned so as to cancel a magnetic field created in a spacing outside the second coil by the first coil,
• wherein a current density in a circumferential direction of each of the first and second coils is expressed by both of weighted even functions and weighted odd functions, ratios between weights for the second coil and weights for the first coil are determined by values based on the number of waves in a coil-axis direction and a flatness rate of an ellipse, and wound positions of the coil wire of the second coil are determined based on the values.

A method of designing a gradient coil used for magnetic resonance imaging (MRI) and provided with both of a first coil formed into an elliptic cylinder shape and a second coil arranged coaxially to the first coil, comprising the steps of:

• expressing a current density in a circumferential direction of each of the first and second coils by using both of weighted even functions and weighted odd functions,
• first determining ratios between weights for the second coil and weights for the first coil by using values based on the number of waves in a coil-axis direction and a flatness rate of an ellipse;
• and
• second determining wound positions of the coil wire of the second coil based on the values,
• thereby a magnetic field created in a spacing outside the second coil by the first coil being cancelled.

A computer-readable program for functionally realizing the steps of:

• expressing a current density in a circumferential direction of each of first and second coils by using both of weighted even functions and weighted odd functions, the first coil formed into an elliptic cylinder shape, and a second coil arranged coaxially to the first coil, the first and second coils being included into a gradient coil used for magnetic resonance imaging;
• first determining ratios between weights for the second coil and weights for the first coil by using values based on the number of waves in a coil-axis direction and a flatness rate of an ellipse;
• and
• second determining wound positions of the coil wire of the second coil based on the values,
• thereby a magnetic field created in a spacing outside the second coil by the first coil being cancelled.