In this work a simple, efficient method to designing a
transmission line volume resonator coil for MR applications is presented. A multiconductor
transmission line is represented as a multiport network using its port
admittance matrix. Closed form solutions for port resonant mode frequencies are
calculated by solving the eigenfunctions of the port admittance matrix using
block matrix and circulant block matrix algebra. Detailed analysis and
simulated results are presented and compared with standard published results. A
dual-tuned surface coil is developed to demonstrate the efficacy of the
proposed method.
