The present invention relates to an eccentric conical head gradient coil and its design method, including: setting the structure and size of the conical coil, discretizing the current-carrying surface of the conical
coil structure into a grid composed of triangles, and calculating the current basis functions of the nodes of each triangle; moving the imaging region a
set distance towards the coil inlet end, selecting the
magnetic field sampling points in the imaging region, and calculating the target
magnetic field values at the
magnetic field sampling points; expressing the magnetic field component in the Z direction at the magnetic field sampling points with the node
stream function values and the current basis functions; combining the target magnetic field values at the magnetic field sampling points and the magnetic field component in the Z direction, constructing an
optimization problem with the minimization of the coil
power consumption as the optimization objective and the
linearity of the magnetic field in the imaging region as the constraint condition; solving the
optimization problem to obtain the
stream function distribution of the coil; and using the
stream function method to discretize the wire to obtain the winding distribution of the coil. The present invention has the advantages of higher current efficiency, greater openness, and the ability to reduce the local hot spot temperature, etc.