A method of magnetic resonance imaging in which a temporally constant magnetic field is generated through a cylindrical bore of a magnetic resonance imaging system, a localized coil which carries at least a radio frequency coil designed to receive magnetic resonance signals from a region contiguous thereto, a patient and the localized coil are inserted into the bore, magnetic resonance is excited within a portion of the patient contiguous to the localized coil and encoded with magnetic field gradients, the encoded magnetic resonance is received with the localized coil, demodulated, and reconstructed into an image representation, the method further comprising designing the radio frequency coil including:
- a static problem formulation step in which static coil geometry and vector current density components are defined;
- a static current solution step in which a set of current density expansion coefficients which define preselected B.sub.1 field characteristics of the radio frequency coil are obtained, the set of current density expansion coefficients defining a continuous current density function;
- a discretization step in which the continuous current density function is discretized;
- a loop connection step in which current loops are defined which mimic the discretized current density function;
- and,
- a high frequency solution step in which current carrying monopoles or V-dipoles are defined along the current loops, reactive elements are added to adjust resonance frequencies and matching characteristics, and a feed point from which received resonance signals are conveyed for demodulation and reconstruction is selected.